Mathematics Question Easa

Module 01,

Module 01, Mathematics

Mathematics..

1.1 Arithmetic. 1.1 Arithmetic.

Question Number. 1. A car travels 24 miles in

Question Number. 1. A car travels 24 miles in 45 minutes. What is its 45 minutes. What is its average speed? Option A. 32 average speed? Option A. 32 mph.mph. Option . 3! mph.

Option . 3! mph.

Option ". 1# mph. "orrect Ans$er is. 32 mph. Option ". 1# mph. "orrect Ans$er is. 32 mph.

%&planation. 45 minutes ' 3(4 hour. )peed ' distance ( time ' 24(3(4 '

%&planation. 45 minutes ' 3(4 hour. )peed ' distance ( time ' 24(3(4 ' 24 * 4(3 ' 24 * 4(3 ' 32.32. Question Number. 2. %valuate. +es

Question Number. 2. %valuate. +es Option A. 4 ,. Option A. 4 ,. Option . 3 ,. Option . 3 ,. Option ". 4. Option ". 4.

"orrect Ans$er is. 3 ,. "orrect Ans$er is. 3 ,. %&planation. %&planation. Question Number Question Number. 3. 15.4(2 - . 3. 15.4(2 - 2*!.2 - 15.!/.2*!.2 - 15.!/. Option A. 11.1. Option A. 11.1. Option . 2!.5. Option . 2!.5. Option ". -11.1. Option ". -11.1. "orrect Ans$er is. 2!.5. "orrect Ans$er is. 2!.5.

%&planation. 0.0-2-.4/0.0--1#.#/0.0  1#.#' 2!.5. %&planation. 0.0-2-.4/0.0--1#.#/0.0  1#.#' 2!.5. Question Number

Question Number. 4. A cuboid has dimensions o 4 cm ! cm . 4. A cuboid has dimensions o 4 cm ! cm and 12 cm. What is its volume?. Option A. .2# mand 12 cm. What is its volume?. Option A. .2# m33 . .

Option . 2.## m

Option . 2.## m33 . Option ". .2## m . Option ". .2## m33 . .

"orrect Ans$er is. 2.## m

"orrect Ans$er is. 2.## m33 . .

%&planation. 4 * ! * 12

%&planation. 4 * ! * 12 ' 2## then convert the cm ' 2## then convert the cm to metres divide 2## b6 1 3 to metres divide 2## b6 1 3 times/.times/. Question Number. 5. What is a

Question Number. 5. What is a scalene triange?. Option A. 2 sides scalene triange?. Option A. 2 sides une7ual.une7ual. Option . All 3 sides une7ual. Option ". 2 sides e7ual.

Option . All 3 sides une7ual. Option ". 2 sides e7ual. "orrect Ans$er is. All 3 sides une7ual.

"orrect Ans$er is. All 3 sides une7ual. %&planation.%&planation. Question Number

Question Number. !. Wor8 out the ollo$ing sum9 4 :2 5-1/ -3; . !. Wor8 out the ollo$ing sum9 4 :2 5-1/ -3;  #. Option A. 2# #. Option A. 2# Option . 30.

Option . 30.

Option ". 54. "orrect Ans$er is. 2# Option ". 54. "orrect Ans$er is. 2#

%&planation. )tart at the inner brac8ets irst and then $or8 out$ards. %&planation. )tart at the inner brac8ets irst and then $or8 out$ards.

Question Number. 0. A rectangle is 11cm & 12cm. What is its area in m

Question Number. 0. A rectangle is 11cm & 12cm. What is its area in m22 ?. Option A. .132. ?. Option A. .132. Option . 132.

Option . 132. Option ". 13.2. Option ". 13.2.

"orrect Ans$er is. .132. "orrect Ans$er is. .132.

%&planation. 1cm in 1m so divide 132 b6 1 t$ice since it %&planation. 1cm in 1m so divide 132 b6 1 t$ice since it is area/.is area/. Question Number

Question Number. #. <he surace area o a cone . #. <he surace area o a cone $hose height is 1 cm and diameter is # cm is. Option A. 4$hose height is 1 cm and diameter is # cm is. Option A. 4= cm= cm22 . . Option . 12= cm

Option . 12= cm22 . Option ". #= cm2. . Option ". #= cm2.

"orrect Ans$er is. 4= cm

"orrect Ans$er is. 4= cm22 . .

%&planation. )urace area o a cone ' = * r * l ' = & #(2 * 1 ' 4=. %&planation. )urace area o a cone ' = * r * l ' = & #(2 * 1 ' 4=. Question Number Question Number. . 4 . . 4 3(# > 2 1(4 3(# > 2 1(4  1(# '. 1(# '. 1/30 1/30 Option A. 2.25 Option A. 2.25 Option . 2.5. Option . 2.5. O O  p  p t t  1.23.  1.23. Option . .!15. Option . .!15. Option ". 2.4!. Option ". 2.4!.

"orrect Ans$er is. .!15. "orrect Ans$er is. .!15.

%&planation. 3(4 ' .05. Appro&imate .# * .05 must be less

Option A. 2.25 Option A. 2.25 Option . 2.5. Option . 2.5. O O  p  p t t i i o o n n " " . . 2 2 1 1 ( ( # # " " o o r  r  r  r  e e c c t t A A n n s s $ $ e e r  r  i i s s . . 2 2 1 1 ( ( 4 4 %&planation. Wo

%&planation. Wor8 out r8 out the $holethe $hole numbers separate to the numbers separate to the ractions.emember that 1(4 is ractions.emember that 1(4 is 2(#. 2(#. Question Number. 1. 11(1!  Question Number. 1. 11(1!  5(# '. 5(# '. Option A. 55(12#. Option A. 55(12#. Option . 21(1!. Option . 21(1!. Option ". 1(11. Option ". 1(11. "orrect Ans$er is. 21(1!. "orrect Ans$er is. 21(1!. %&planation. 5(# ' 1(1!. 11(1! %&planation. 5(# ' 1(1!. 11(1!  1(1! ' 21(1!.  1(1! ' 21(1!. Q Q u u e e s s t t i i o o n n  N  N u u m m  b  b e e r  r  . . 1 1 1 1 . . 3 3 ( ( 4 4 m m u u l l t t i i  p  p l l i i e e d d  b  b 6 6   . . # # 2 2 i i s s e e 7 7 u u a a l l t t o o . . O O  p  p t t i i o o n n  1.23.  1.23. Option . .!15. Option . .!15. Option ". 2.4!. Option ". 2.4!.

"orrect Ans$er is. .!15. "orrect Ans$er is. .!15.

%&planation. 3(4 ' .05. Appro&imate .# * .05 must be less

%&planation. 3(4 ' .05. Appro&imate .# * .05 must be less than .05.than .05. Question Number. 12. 0(! can be e&pressed as.

Question Number. 12. 0(! can be e&pressed as. Option A. 1.1!!. Option A. 1.1!!. Option . 2.!. Option . 2.!. Option ". 1.!. Option ". 1.!.

"orrect Ans$er is. 1.1!!. "orrect Ans$er is. 1.1!!.

%&planation. !(! $ould be 1. )o 0(! is

%&planation. !(! $ould be 1. )o 0(! is @ust slightl6 bigger than 1.@ust slightl6 bigger than 1. Question Number. 13. <he ratio o !95 can be e&pressed as. Question Number. 13. <he ratio o !95 can be e&pressed as. Option A. 2492. Option A. 2492. Option . 2925. Option . 2925. Option ". 191!. "orrect Option ". 191!. "orrect Ans$er is. 2492. Ans$er is. 2492.

%&planation. !95 multipl6 each b6 %&planation. !95 multipl6 each b6 4.4.

Question Number. 14. 14

Question Number. 14. 14

3

3

 can be e&pressed as. can be e&pressed as. Option A. 14 * 14 * Option A. 14 * 14 * 14.14. Option . 14 & Option . 14 &33 . . Option ". 14  14  14. Option ". 14  14  14. "orrect Ans$er is. 14 * 14 * "orrect Ans$er is. 14 * 14 * 14.14.

%&planation. o$erB means the number BtimesB %&planation. o$erB means the number BtimesB itsel.itsel. Question Number

Question Number. 15. .413 can . 15. .413 can be $ritten as.be $ritten as. Option A. .413 & 1

Option A. .413 & 1

-0.

-0.

Option . 413 & 1

Option . 413 & 1-0.-0.

Option ". 4.13 & 1

Option ". 4.13 & 1-0.-0. "orrect "orrect

Ans$er is. 413 & 1

Ans$er is. 413 & 1-0.-0.

%&planation. 1

%&planation. 1

-0

-0

 means move the decimal place 0 p means move the decimal place 0 places to the let. <r6 it on each ans$er and see laces to the let. <r6 it on each ans$er and see $hat comes out.$hat comes out. Question Number. 1!. 5(#  3(4 '. Question Number. 1!. 5(#  3(4 '. Option A. 11(4. Option A. 11(4. Option . #(#. Option . #(#. Option ". Option ". 11(#.11(#. "orrect Ans$er is. "orrect Ans$er is. 11(#.11(#.

%&planation. 5(#  3(4 ' 5(#  !(# C"D ' #/ ' 11(#. %&planation. 5(#  3(4 ' 5(#  !(# C"D ' #/ ' 11(#.

Question Number. 10. <he Co$est "ommon Denominator or the problem belo$ is 1(! 

Question Number. 10. <he Co$est "ommon Denominator or the problem belo$ is 1(!  1(5  1(10 1(5  1(10  1(2. Option A. 51. 1(2. Option A. 51. Option . 12. Option . 12. Option ". 10. Option ". 10.

"orrect Ans$er is. 51. "orrect Ans$er is. 51.

%&planation. <he C"D is the lo$est

%&planation. <he C"D is the lo$est o the ans$ers $hich all the denominators can be divided into.o the ans$ers $hich all the denominators can be divided into. Question Number. 1#. <he ormula or calculating the area o a right angled triangle is.

Question Number. 1#. <he ormula or calculating the area o a right angled triangle is. Option A. , height  base.

Option A. , height  base. Option . , base * height/. Option . , base * height/. Option ". , base ( height. Option ". , base ( height.

"orrect Ans$er is. , base * height/. "orrect Ans$er is. , base * height/.

%&planation. Area o Ban6B triangle is 1(2 base & height. "an also be $ritten 1(2 base * %&planation. Area o Ban6B triangle is 1(2 base & height. "an also be $ritten 1(2 base * height/.height/. Question Number. 1. <he area o

Question Number. 1. <he area o a circle $hose circumerence is given a circle $hose circumerence is given as 12cm is as 12cm is appro&imatel6appro&imatel6.. Option A. 3.# s7.cm. Option A. 3.# s7.cm. Option . 11.3 s7.cm. Option . 11.3 s7.cm. Option ". 3# s7 cm. Option ". 3# s7 cm.

"orrect Ans$er is. 11.3 s7.cm. "orrect Ans$er is. 11.3 s7.cm.

%&planation. Area ' "ircumerence s7uar

%&planation. Area ' "ircumerence s7uared ( 4= ed ( 4= ' 144 ( 4 ' 144 ( 4 * 3.14/ '.* 3.14/ '.

Question Number. 2. Area o a right circular cone o base radius r and height l is. Question Number. 2. Area o a right circular cone o base radius r and height l is. Option A. 2(3 = * r * l/. Option A. 2(3 = * r * l/. Option . = * r * l/  Option . = * r * l/  2= * r *2= * r * r. Option ". = * r * l. r. Option ". = * r * l. "orrect Ans$er is. = * r

"orrect Ans$er is. = * r * l. %&planation.* l. %&planation. Area o a cone is = * r

Area o a cone is = * r * l.* l.

Question Number. 21. Determine  Question Number. 21. Determine  3/-- 3/--4/. Option A. -1. 4/. Option A. -1. Option . -0. Option . -0. Option ". 0. "orrect Option ". 0. "orrect Ans$er is. 0. Ans$er is. 0.

%&planation. A minus number

%&planation. A minus number $hen  $hen subtracted becomes a plus a subtracted becomes a plus a minus and a minus and a minus ma8es a minus ma8es a plus/.plus/. Question Number. 22. <o convert imperial gallons to litres multipl6

Question Number. 22. <o convert imperial gallons to litres multipl6 b6b6.. Option A. 4.5. Option A. 4.5. Option . 5.4. Option . 5.4. Option ". 4.0. "orrect Option ". 4.0. "orrect Ans$er is. 4.5. Ans$er is. 4.5. 2/30 2/30

Option A. 2.25 Option A. 2.25 Option . 2.5. Option . 2.5. O O  p  p t t i i o o n n " " . . 2 2 1 1 ( ( # # " " o o r  r  r  r  e e c c t t A A n n s s $ $ e e r  r  i i s s . . 2 2 1 1 ( ( 4 4 %&planation. Wo

%&planation. Wor8 out r8 out the $holethe $hole numbers separate to the numbers separate to the ractions.emember that 1(4 is ractions.emember that 1(4 is 2(#. 2(#. Question Number. 1. 11(1!  Question Number. 1. 11(1!  5(# '. 5(# '. Option A. 55(12#. Option A. 55(12#. Option . 21(1!. Option . 21(1!. Option ". 1(11. Option ". 1(11. "orrect Ans$er is. 21(1!. "orrect Ans$er is. 21(1!. %&planation. 5(# ' 1(1!. 11(1! %&planation. 5(# ' 1(1!. 11(1!  1(1! ' 21(1!.  1(1! ' 21(1!. Q Q u u e e s s t t i i o o n n  N  N u u m m  b  b e e r  r  . . 1 1 1 1 . . 3 3 ( ( 4 4 m m u u l l t t i i  p  p l l i i e e d d  b  b 6 6   . . # # 2 2 i i s s e e 7 7 u u a a l l t t o o . . O O  p  p t t i i o o n n  1.23.  1.23. Option . .!15. Option . .!15. Option ". 2.4!. Option ". 2.4!.

"orrect Ans$er is. .!15. "orrect Ans$er is. .!15.

%&planation. 3(4 ' .05. Appro&imate .# * .05 must be less

%&planation. 3(4 ' .05. Appro&imate .# * .05 must be less than .05.than .05. Question Number. 12. 0(! can be e&pressed as.

Question Number. 12. 0(! can be e&pressed as. Option A. 1.1!!. Option A. 1.1!!. Option . 2.!. Option . 2.!. Option ". 1.!. Option ". 1.!.

"orrect Ans$er is. 1.1!!. "orrect Ans$er is. 1.1!!.

%&planation. !(! $ould be 1. )o 0(! is

%&planation. !(! $ould be 1. )o 0(! is @ust slightl6 bigger than 1.@ust slightl6 bigger than 1. Question Number. 13. <he ratio o !95 can be e&pressed as. Question Number. 13. <he ratio o !95 can be e&pressed as. Option A. 2492. Option A. 2492. Option . 2925. Option . 2925. Option ". 191!. "orrect Option ". 191!. "orrect Ans$er is. 2492. Ans$er is. 2492.

%&planation. !95 multipl6 each b6 %&planation. !95 multipl6 each b6 4.4.

Question Number. 14. 14

Question Number. 14. 14

3

3

 can be e&pressed as. can be e&pressed as. Option A. 14 * 14 * Option A. 14 * 14 * 14.14. Option . 14 & Option . 14 &33 . . Option ". 14  14  14. Option ". 14  14  14. "orrect Ans$er is. 14 * 14 * "orrect Ans$er is. 14 * 14 * 14.14.

%&planation. o$erB means the number BtimesB %&planation. o$erB means the number BtimesB itsel.itsel. Question Number

Question Number. 15. .413 can . 15. .413 can be $ritten as.be $ritten as. Option A. .413 & 1

Option A. .413 & 1

-0.

-0.

Option . 413 & 1

Option . 413 & 1-0.-0.

Option ". 4.13 & 1

Option ". 4.13 & 1-0.-0. "orrect "orrect

Ans$er is. 413 & 1

Ans$er is. 413 & 1-0.-0.

%&planation. 1

%&planation. 1

-0

-0

 means move the decimal place 0 p means move the decimal place 0 places to the let. <r6 it on each ans$er and see laces to the let. <r6 it on each ans$er and see $hat comes out.$hat comes out. Question Number. 1!. 5(#  3(4 '. Question Number. 1!. 5(#  3(4 '. Option A. 11(4. Option A. 11(4. Option . #(#. Option . #(#. Option ". Option ". 11(#.11(#. "orrect Ans$er is. "orrect Ans$er is. 11(#.11(#.

%&planation. 5(#  3(4 ' 5(#  !(# C"D ' #/ ' 11(#. %&planation. 5(#  3(4 ' 5(#  !(# C"D ' #/ ' 11(#.

Question Number. 10. <he Co$est "ommon Denominator or the problem belo$ is 1(! 

Question Number. 10. <he Co$est "ommon Denominator or the problem belo$ is 1(!  1(5  1(10 1(5  1(10  1(2. Option A. 51. 1(2. Option A. 51. Option . 12. Option . 12. Option ". 10. Option ". 10.

"orrect Ans$er is. 51. "orrect Ans$er is. 51.

%&planation. <he C"D is the lo$est

%&planation. <he C"D is the lo$est o the ans$ers $hich all the denominators can be divided into.o the ans$ers $hich all the denominators can be divided into. Question Number. 1#. <he ormula or calculating the area o a right angled triangle is.

Question Number. 1#. <he ormula or calculating the area o a right angled triangle is. Option A. , height  base.

Option A. , height  base. Option . , base * height/. Option . , base * height/. Option ". , base ( height. Option ". , base ( height.

"orrect Ans$er is. , base * height/. "orrect Ans$er is. , base * height/.

%&planation. Area o Ban6B triangle is 1(2 base & height. "an also be $ritten 1(2 base * %&planation. Area o Ban6B triangle is 1(2 base & height. "an also be $ritten 1(2 base * height/.height/. Question Number. 1. <he area o

Question Number. 1. <he area o a circle $hose circumerence is given a circle $hose circumerence is given as 12cm is as 12cm is appro&imatel6appro&imatel6.. Option A. 3.# s7.cm. Option A. 3.# s7.cm. Option . 11.3 s7.cm. Option . 11.3 s7.cm. Option ". 3# s7 cm. Option ". 3# s7 cm.

"orrect Ans$er is. 11.3 s7.cm. "orrect Ans$er is. 11.3 s7.cm.

%&planation. Area ' "ircumerence s7uar

%&planation. Area ' "ircumerence s7uared ( 4= ed ( 4= ' 144 ( 4 ' 144 ( 4 * 3.14/ '.* 3.14/ '.

Question Number. 2. Area o a right circular cone o base radius r and height l is. Question Number. 2. Area o a right circular cone o base radius r and height l is. Option A. 2(3 = * r * l/. Option A. 2(3 = * r * l/. Option . = * r * l/  Option . = * r * l/  2= * r *2= * r * r. Option ". = * r * l. r. Option ". = * r * l. "orrect Ans$er is. = * r

"orrect Ans$er is. = * r * l. %&planation.* l. %&planation. Area o a cone is = * r

Area o a cone is = * r * l.* l.

Question Number. 21. Determine  Question Number. 21. Determine  3/-- 3/--4/. Option A. -1. 4/. Option A. -1. Option . -0. Option . -0. Option ". 0. "orrect Option ". 0. "orrect Ans$er is. 0. Ans$er is. 0.

%&planation. A minus number

%&planation. A minus number $hen  $hen subtracted becomes a plus a subtracted becomes a plus a minus and a minus and a minus ma8es a minus ma8es a plus/.plus/. Question Number. 22. <o convert imperial gallons to litres multipl6

Question Number. 22. <o convert imperial gallons to litres multipl6 b6b6.. Option A. 4.5. Option A. 4.5. Option . 5.4. Option . 5.4. Option ". 4.0. "orrect Option ". 4.0. "orrect Ans$er is. 4.5. Ans$er is. 4.5. 2/30 2/30

%&planation. <here are 4.54 litres

%&planation. <here are 4.54 litres in 1 ritish in 1 ritish Emperial/ gallon.Emperial/ gallon. Question Number. 23. %&press (2 as

Question Number. 23. %&press (2 as a percentage.a percentage. Option A. 45F. Option A. 45F. Option . 4F. Option . 4F. Option ". 40F. Option ". 40F. "orrect Ans$er is. 45F. "orrect Ans$er is. 45F.

%&planation. Gultipl6 the top and bottom to ma8e the denominator into 1 *5 in this

%&planation. Gultipl6 the top and bottom to ma8e the denominator into 1 *5 in this case/. <hen the numerator is the percentage.case/. <hen the numerator is the percentage. Question Number. 24. <o ind the area o a circle multipl6.

Question Number. 24. <o ind the area o a circle multipl6. Option A. t$ice the radius b6 =.

Option A. t$ice the radius b6 =. Option . the s7uare o the

Option . the s7uare o the circumerence b6 the radius.circumerence b6 the radius. Option ". the s7uare o the radius b6 =.

Option ". the s7uare o the radius b6 =. "orrect Ans$er is. the s7uare o the radius b6 =. "orrect Ans$er is. the s7uare o the radius b6 =. %&planation. Area ' = & radius

%&planation. Area ' = & radius

2.

2.

Question Number. 25. Ho$ man6 centimetres is in an inch?. Question Number. 25. Ho$ man6 centimetres is in an inch?. Option A. 25.4. Option A. 25.4. Option . 2.54. Option . 2.54. Option ". .254. Option ". .254. "orrect Ans$er is. 2.54. "orrect Ans$er is. 2.54. %&planation. 1 inch ' 2.54 cm. %&planation. 1 inch ' 2.54 cm.

Question Number. 2!. Iind the lo$est common multiple o !J 0J #. Question Number. 2!. Iind the lo$est common multiple o !J 0J #. Option A. #4. Option A. #4. Option . 33!. Option . 33!. Option ". 1!#. Option ". 1!#. "orrect Ans$er is. 1!#. "orrect Ans$er is. 1!#.

%&planation. <he C"G is the lo$est number that

%&planation. <he C"G is the lo$est number that all 3 can be divided into.all 3 can be divided into. Question Number. 20. What tor7ue loading $ould 6ou appl6 to a nut i the orce is

Question Number. 20. What tor7ue loading $ould 6ou appl6 to a nut i the orce is 5 lbs e&erted 2 eet rom its 5 lbs e&erted 2 eet rom its a&is?.a&is?. Option A. ! lbs.t. Option A. ! lbs.t. Option . 1 lbs.t. Option . 1 lbs.t. Option ". 251 lbs.t. Option ". 251 lbs.t. "orrect Ans$er is. 1 lbs.t. "orrect Ans$er is. 1 lbs.t. %&planation. <or7ue ' orce & %&planation. <or7ue ' orce & distance.distance.

Question Number. 2#. <he ormula or calculating the tor7ue loading on a nut or bolt is. Question Number. 2#. <he ormula or calculating the tor7ue loading on a nut or bolt is. Option A. Iorce used & lever length o the spanner.

Option A. Iorce used & lever length o the spanner. Option . Cever length o the

Option . Cever length o the spanner ( <hreads per inch.spanner ( <hreads per inch. Option ". Iorce used & diameter o

Option ". Iorce used & diameter o the bolt.the bolt.

"orrect Ans$er is. Iorce used & lever length o the spanner. "orrect Ans$er is. Iorce used & lever length o the spanner. %&planation. <or7ue ' orce &

%&planation. <or7ue ' orce & distance.distance. Question Number. 2. Ho$

Question Number. 2. Ho$ is the area o is the area o a circle calculated? r'radius d'diameter/.a circle calculated? r'radius d'diameter/. Option A. 2 & 3.142 & r.

Option A. 2 & 3.142 & r.

Option . d

Option . d22 & 3.142. & 3.142.

Option ". r 

Option ". r 22 & 3.142. & 3.142.

"orrect Ans$er is. r 

"orrect Ans$er is. r 22 & 3.142. & 3.142.

%&planation. Area ' =r  %&planation. Area ' =r 

2

2

 . .

Question Number. 3. Determine the ollo$ing 9 (4  5(12  Question Number. 3. Determine the ollo$ing 9 (4  5(12  5 1(#.5 1(#. Option A. 2 25(24. Option A. 2 25(24. Option . 4 1(12. Option . 4 1(12. Option ". 0 1(24. Option ". 0 1(24. "orrect Ans$er is. 4 1(24. "orrect Ans$er is. 4 1(24.

%&planation. 54(24  1(24  5 3(24 ' %&planation. 54(24  1(24  5 3(24 ' 0 1(240 1(24

Question Number. 31. <he speciic tor7ue loading or a bolt is 5 lbs.ins but an e&tension o 2

Question Number. 31. <he speciic tor7ue loading or a bolt is 5 lbs.ins but an e&tension o 2 is needed to reach the bolt in addition tois needed to reach the bolt in addition to the # tor7ue $rench. What $ill the actual reading?.

the # tor7ue $rench. What $ill the actual reading?. Option A. ! lb.ins.

Option A. ! lb.ins. Option . 54 lb.ins. Option . 54 lb.ins. Option ". 4 lb.ins. " Option ". 4 lb.ins. "orrectorrect Ans$er is. 4 lb.ins. Ans$er is. 4 lb.ins.

%&planation. Ne$ tor7ue reading ' desired tor7ue & C(&  C/.

%&planation. Ne$ tor7ue reading ' desired tor7ue & C(&  C/. 5 & #(1 ' 4 5 & #(1 ' 4 lb.ins.lb.ins. Question Number. 32. %&press the raction 0(#

Question Number. 32. %&press the raction 0(# as a decimal.as a decimal. Option A. .0#5. Option A. .0#5. Option . .#0#. Option . .#0#. Option ". .#05. Option ". .#05. "orrect Ans$er is. .#05. "orrect Ans$er is. .#05. %&planation. Kse long division. %&planation. Kse long division.

Question Number. 33. Determine .05 & .3. Question Number. 33. Determine .05 & .3. Option A. .225. Option A. .225. Option . .225. Option . .225. Option ". .225. Option ". .225.

"orrect Ans$er is. .225. "orrect Ans$er is. .225.

%&planation. %asiest $a6 is to multipl6 b6 .1 .05 &

%&planation. %asiest $a6 is to multipl6 b6 .1 .05 & .1 ' .05/ then multipl6 b6 3. 05 .1 ' .05/ then multipl6 b6 3. 05 & 3 ' 225 & 3 ' 225 so .05 & 3 ' .225/.so .05 & 3 ' .225/. Question Number. 34. "onvert 1!2 8nots to GH.

Question Number. 34. "onvert 1!2 8nots to GH. Option A. 1#! mph. Option A. 1#! mph. Option . 10! mph. Option . 10! mph. Option ". 1! mph. Option ". 1! mph. "orrect Ans$er is. 1#! mph. "orrect Ans$er is. 1#! mph.

%&planation. 1 8nots ' 1.15 mph 1!2 &

%&planation. 1 8nots ' 1.15 mph 1!2 & 1.15 ' 1#! mph.1.15 ' 1#! mph. Question Number. 35. <o convert inches to millimetres it

Question Number. 35. <o convert inches to millimetres it is necessar6 to.is necessar6 to. Option A. divide b6 25.4. Option A. divide b6 25.4. Option . multipl6 b6 25.4. Option . multipl6 b6 25.4. Option ". multipl6 b6 2.54. Option ". multipl6 b6 2.54. "orrect Ans$er is. multipl6 b6 "orrect Ans$er is. multipl6 b6 25.4.25.4. %&planation. <here are 25.4 mm in 1 %&planation. <here are 25.4 mm in 1 inch.inch. Question Number. 3!. 3(4 & #2 '. Question Number. 3!. 3(4 & #2 '.

Option A. 123. Option . !1.5. Option ". #1.5. "orrect Ans$er is. !1.5. %&planation. %stimate 3(4 o #2.

Question Number. 30. A circular patch is held together b6 seven e7uall6 spaced rivets. What is their angular spacing?. Option A. 51.5L.

Option . 52L. Option ". 51.43L. "orrect Ans$er is. 51.43L. %&planation. 3!(0 ' 51.43 degrees.

Question Number. 3#. Add togetherJ 3(4 5(1! 0(# and .305. Option A. 2 5(1!.

Option . 2 1(#. Option ". 2 1(4.

"orrect Ans$er is. 2 5(1!.

%&planation. .305 ' 3(#. 3(4  5(1!  0(#  3(# C"D ' 1!/ 12(1!  5(1!  14(1!  !(1! ' 30(1! ' 2 5(1!. Question Number. 3. <o convert pounds o uel into 8ilograms it is necessar6 to.

Option A. divide b6 .453!. Option . multipl6 b6 453!. Option ". multipl6 b6 .453!. "orrect Ans$er is. multipl6 b6 .453!. %&planation. 2.2 lb ' 1 8g. 1lb ' .453! 8g.

Question Number. 4. E resin to hardener is used in the ratio o 1945 ho$ much hardener is used $ith ! grams o resin?. Option A. 145 grams.

Option . 40 grams. Option ". 2.0 grams. "orrect Ans$er is. 2.0 grams.

%&planation. atio o hardener to resin is 4591 or .4591. Ior ! gms o resin use .45 * ! hardener ' 2.0 gms. Question Number. 41. Determine the ollo$ing 11(1!  5(#.

Option A. 11(1. Option . 1 55(12#. Option ". 1 5(1!. "orrect Ans$er is. 1 5(1!.

%&planation. 11(1!  5(# C"D ' 1!/ 11(1!  1(1! ' 21(1! ' 1 5(1!. Question Number. 42. ! mm is e7ual to.

Option A. .!25 inches. Option . .23! inches. Option ". .305 inches. "orrect Ans$er is. .23! inches.

%&planation. !mm ' .!cm. )o .!(2.54 ' .23! Question Number. 43. Weight is e7ual to. Option A. volume & gravit6.

Option . mass & acceleration. Option ". mass & gravit6. "orrect Ans$er is. mass & gravit6. %&planation. Weight ' mass & gravit6. Question Number. 44. #  4M5 & 2 5-(3/ '. Option A. ##.

Option . 12. Option ". 4#. "orrect Ans$er is. ##.

%&planation. Wor8 rom the inner brac8ets - out$ards. Question Number. 45. <o convert gallons to litres. Option A. multipl6 b6 4.55.

Option . multipl6 b6 .455. Option ". multipl6 b6 .5!#. "orrect Ans$er is. multipl6 b6 4.55. %&planation. 1 gallon ' 4.55 litres.

Question Number. 4!. A c6linder has a diameter o 2 cm and a length o 2 cm $hat is its volume?.

Option A. 124 cm3 . Option . !2 cm3 Option ". 4 cm3 . "orrect Ans$er is. !2 cm3 .

%&planation. olume o a c6linder ' = & r2 & length o c 6linder ' = & 1 & 2 ' 3.1 & 1 & 2 ' !2. Question Number. 40. 31(# > 11(5 '.

Option A. 23(4. Option . 13(4. Option ". !0(4. "orrect Ans$er is. !0(4.

%&planation. 155(4 - ##(4 ' !0(4

Question Number. 4#. What is the ormula or calculating the curved area o a cone?. Option A. = & radius2 & height.

Option . = & radius & height. Option ". 2(3 & = & radius & height. "orrect Ans$er is. = & radius & h eight. %&planation. = & radius & height.

Question Number. 4. Determine 1  23/  1  25/. Option A. 52.

Option . 32 Option ". 4#. "orrect Ans$er is. 4#.

Question Number. 5. One radian is e7ual to. Option A. L.

Option . 05L. Option ". 50.5L. "orrect Ans$er is. 50.5L.

%&planation. <here are 2= radians in one complete circle 3!L/. )o one radian is 3!(!.2# ' 50.5L. Question Number. 51. <he surace area o a c6linder o diameter 1 cm and height 1 cm is. Option A. #=.

Option . 5=. Option ". 1=. "orrect Ans$er is. 1=.

%&planation. Area ' circumerence & height ' = & d & h ' 1 & 1 & =.

Question Number. 52. A parallelogram has a base 12cm and height 11 cm. What is the area?.

Option A. .132 m2 . Option . 1.32 m2 . Option ". 1.32 m2 .

"orrect Ans$er is. .132 m2.

%&planation. Area o a parallelogram ' base & height ' 1.2 m * .11 m ' .1322. Question Number. 53. <he area o this shape is calculated b6.

Option A. erimeter s7uared. Option . , ase * Height. Option ". ase * Height. "orrect Ans$er is. ase * Height.

%&planation. Et does not matter $hich $a6 around the base and the height go $hen the6 are multiplied together. Question Number. 54. <he area o the shape is calculated b6.

Option A. , height * base. Option . , base * , height. Option ". , base * , height. "orrect Ans$er is. , height * base. %&planation. Nil

Question Number. 55. <he area o the curved surace area o a cone is $here r ' radiusJ h ' vertical height and l ' slant height/. Option A. =rh.

Option . =r 2 h. Option ". 1(3=r 2 h.

"orrect Ans$er is. =rh. %&planation.

Question Number. 5!. What is the volume o a cuboid?. Option A. height * length * $idth.

Option . height * , base * height. Option ". height * , base * length. "orrect Ans$er is. height * length * $idth. %&planation.

Question Number. 50. 4-!/-(-3/  -3/ '. Option A. -2.

Option . 4.5. Option ". 4. "orrect Ans$er is. -2.

%&planation. 4-!--3/-3 4-!  3-3 ' -2.

Question Number. 5#. An aircrat travels 215 nautical miles in 2 hours 3 minutes. What is the average speed o the aircrat?. Option A. 55 8nots.

Option . ! 8nots. Option ". #! 8nots. "orrect Ans$er is. #! 8nots.

%&planation. Pnots ' nautical miles per hour. 215 ( 2.5 ' #! 8nots.

Question Number. 5. What is the surace area o a c6linder $hose diameter is 2cm and height o 15 cm?. Option A. 3=.

Option . 42=. Option ". 35=. "orrect Ans$er is. 3=.

%&planation. )urace area ' = * diameter * height ' = * 2 * 15 ' 3=. Question Number. !. Iour percent o .1 is.

Option A. .4. Option . .4. Option ". .4.

"orrect Ans$er is. .4.

%&planation. 4F means 4(1. )o 4(1 o .1 ' .4(1 ' .4. Question Number. !1. !  2/2 * 2 2 * 45/ '.

Option A. 21#. Option . 3#. Option ". 12#. "orrect Ans$er is. 3#.

%&planation. !  2/2 ' !4. *2 ' 12#. 2*45 ' . 12#- ' 3#.

Question Number. !2. 10 degrees 4 minutes and 1 seconds added to 22 degrees 22 minutes and 5 seconds e7uals. Option A. 4 degrees 11 minutes and ! seconds.

Option . 4 degrees 12 minutes and  seconds. Option ". 3 degrees 11 minutes and  seconds. "orrect Ans$er is. 4 degrees 12 minutes and  seconds.

%&planation. Add them both together in 3 columns degrees minutes seconds/. When each addition goes over 5 add 1 to the ne&t column.

Question Number. !3. <he diameter o a c6linder is 2 cm and the height is 2 cm $hat is the volume?.

Option A. !2# cm3 .

Option ". # cm

3

 .

"orrect Ans$er is. !2# cm3 .

%&planation. olume ' = * radius-s7uared base area/ * height. 3.14 * 1 * 1 * 2 ' !2#.

Question Number. !4. <he comparison o the po$er input to the po$er output o an inverter is e&pressed as a. Option A. ratio.

Option . gain. Option ". loss. "orrect Ans$er is. ratio.

%&planation. A BratioB is a comparison o an6 t$o values. Question Number. !5. <he ratio o !94 can also be e&pressed as. Option A. !4F.

Option . !!F. Option ". 15F. "orrect Ans$er is. 15F.

%&planation. !94 means !(4 ' 3(2 ' 15F.

Question Number. !!. 2 8ilovolts can be e&pressed as. Option A. 2 * 13 volts.

Option . 2 * 15 volts. Option ". 2 * 1-4 volts. "orrect Ans$er is. 2 * 15 volts.

%&planation. 2 8 ' 2 * 1 ' 2 ' 2 * 1 to the po$er o 5 i.e. 2 $ith 5 eros/.

Question Number. !0. What is the surace area o a cone i the base is #cm diameter and the height is 1cm?. Option A. 4=.

Option . #=. Option ". 12=. "orrect Ans$er is. 4=.

%&planation. )urace area o a cone ' = * r * l ' = * #(2 * 1 ' 4=.

Question Number. !#. What is the area o a rectangle $hen its height is 11cm and the $idth 12cm?. Option A. .132 m

2

 .

Option . 1.32 m2 . Option ". 132 m2 . "orrect Ans$er is. .132 m2 .

%&planation. Area o a rectangle ' 11 * 12 cm ' 132 s7uare cm. <o convert to s7uare metres divide b6 1 since there are 1 cm in each o the sides i.e. 1 * 1/.

Question Number. !. 4 3(# > 2 R  1(5 '. Option A. 2 1(4.

Option . 2 13(4. Option ". 3 3(1.

"orrect Ans$er is. 2 13(4.

%&planation. Wor8 out the $hole numbers and the ractions separatel6. 4-2 ' 2. 3(#-1(4  1(5 ' 15(4-1(4  #(4 C"D ' 4/ ' 13(4.  No$ recombine the $hol$ numbers and the ractions so 2  13(4 ' 2 13(4.

Question Number. 0. 4*4 *4 > 1/ >1/ >1 '. Option A. 31.

Option . 15. Option ". 43. "orrect Ans$er is. 43.

%&planation. ule 19 Wor8 the innermost brac8ets irst. ule 29 Ater calculating the contents o a brac8et use the multiplier or divider/  beore the adder or subtractor.

Question Number. 01. Which number is the lo$est common actor o 3! !! and 12!?. Option A. 23.

Option . 12. Option ". !. "orrect Ans$er is. !.

%&planation. <he common actor is the number $hich can be divided into all 3 $ithout the ans$er being a raction. Question Number. 02. What is 3F o .1?.

Option A. .3. Option . .3. Option ". .3.

"orrect Ans$er is. .3.

%&planation. 3F o .1 means 3(1 * .1 ' .3(1 ' .3. Question Number. 03. 11(1! divided b6 5(# is.

Option A. 55(12#. Option . 11(1. Option ". 1(11. "orrect Ans$er is. 11(1.

%&planation. 11(1! divided b6 5(# is the same as 11(1! * #(5 ' 11(2 * 1(5 ater cross cancelling/ ' 11(1.

Question Number. 04. An aircrat uses 1!# gallons o uel the let tan8 uses 45F the right tan8 uses 32.5F ho$ much $as used b6 the centre tan8?.

Option A. 21 gallons. Option . 21 gallons. Option ". 30# gallons. "orrect Ans$er is. 30# gallons.

%&planation. 1F-45F  32.5F/ ' 22.5F. 22.5F is @ust less than 1(4. No$ estimate 1(4 o 1!# - do not calculate. Question Number. 05. What is the raction 1(0 in decimal?.

Option A. .1425. Option . .142#!. Option ". 1.42.

"orrect Ans$er is. .142#!.

%&planation. Kse the long division techni7ue.

Question Number. 0!. <he supplement o 13 degrees is. Option A. 243.

Option . 0!. Option ". 1!0.

"orrect Ans$er is. 1!0.

%&planation. )upplementar6 angles add up to 1# degrees. "omplementar6 angles add up to  degrees.

Question Number. 00. What is the area o a ring $ith an outer diameter o  inches and an inner diameter o # inches?. Option A. 325=.

Option . 435=. Option ". 425=. "orrect Ans$er is. 425=.

%&planation. adii are 45 and 4. 452-42/ ' 225-1! ' 425. Area ' =r 

2

 . Question Number. 0#. What is the area o the shape sho$n in centimeters?. Option A. 1.

Option . 1225. Option ". 113. "orrect Ans$er is. 1225.

%&planation. 12 * 3 ' 3! 2 * 5 ' 1 2#-#/ * 3 ' !. 3!  1  ! ' 1!. <here are appro&. 2.5 cm in 1 inch so multipl6 1! b6 2.5 t$ice because it is area/.

Question Number. 0. What is the area o a rectangle $ith base 1!cm and height 12cm?.

Option A. .12 m2 . Option . .12 m2 . Option ". .12 m2 . "orrect Ans$er is. .12 m2 .

%&planation. Area ' base * height. <o convert to metres divide b6 1 t$ice because it is area/. Question Number. #. "alculate the area o the shape sho$n9.

Option A. !.05=. Option . !.05=. Option ". 10.5=. "orrect Ans$er is. !.05=.

%&planation. 1 ' 1.5 2 ' 3. Area ' = *22-12/ ' = * -2.25/ ' = * !.05.

Question Number. #1. An aircrat lies 135nm in 2 hrs 15 minutes. What is the average speed?. Option A. #58ts.

Option . !8ts. Option ". !58ts. "orrect Ans$er is. !8ts.

%&planation. 1 8not ' 1 nm(hour. 135(2.25 ' ! 8ts.

Question Number. #2. What is the supplement o 13 degrees 13 minutes 13 seconds?. Option A. 1!0 degrees 4! minutes 40 seconds.

Option . 2!! degrees #0 minutes #0 seconds. Option ". 1!! degree 4! minutes 40 seconds. "orrect Ans$er is. 1!! degree 4! minutes 40 seconds.

%&planation. )upplementar6 angles add up to 1# degrees. )ubtract 13 degrees rom 1# degrees 6ou get 1!0 d egrees. ut it is slightl6 more han 13 degrees so ans$er must be slightl6 less than 1!0 degrees - hardl6 an6 calculation re7uiredS.

Question Number. #3. D etermine 15.4(2-2!.2-15.!/. Option A. 11.1.

Option . 4.5. Option ". 2!.5. "orrect Ans$er is. 2!.5.

%&planation. )tart $ith brac8ets. Write do$n step b6 step. emember that a minus number subtracted becomes a plus. Question Number. #4. "alculate the area o the shape sho$n.

Option A. 12 s7.ins. Option . 1! s7.ins. Option ". 14 s7.ins. "orrect Ans$er is. 14 s7.ins.

%&planation. 4 * 1 ' 4 or top bit 4 * 1 ' 4 or bottom bit 3 * 2 or centre bit. Add all 3 areas together '.

Question Number. #5. A mound o soil is piled up into a cone o base diameter 1.#m and height .! m. What is the volume o soil?.

Option A. .5 m3 . Option . 1. m3 . Option ". 1.5 m3 . "orrect Ans$er is. .5 m3 .

%&planation. olume o a cone ' 1(3 * base area * height. ase are ' =r 

2

 ' 3 * . * . ' 2.4. 1(3 * 2.4 * .! ' .5. Question Number. #!. What is the area o the shape belo$?.

Option A. 22 s7uare inches. Option . 1! s7uare inches. Option ". 2 s7uare inches. "orrect Ans$er is. 1! s7uare inches.

%&planation. 12 * 3/  2 * 5/  2#-3-5/ * 3/ ' 1!. Question Number. #0. What is 1 radian in d egrees?. Option A. 50L.

Option . 20L. Option ". !!L. "orrect Ans$er is. 50L.

%&planation. 2= radians is 3!L. )o 1 radian ' 3!(!.3 ' 50L. Question Number. ##. 5

2

 & 5

3

 /

2

 is.

Option A. 50 . Option . 512. Option ". 51. "orrect Ans$er is. 51.

%&planation. Add the po$ers $hen the bases are multiplied. Gultipl6 the po$ers $hen a po$er is raised a urther po$er. )o 2  3 ' 5. 5 * 2 ' 1.

Question Number. #. What is 3F o .1?. Option A. .3.

Option . .3. Option ". .3. "orrect Ans$er is. .3.

%&planation. 3(1 * .1 ' 3(1 * .1. Question Number. . % valuate 15.4(2-24.!-15.0/. Option A. 2!.5.

Option . 2.. Option ". -14.5. "orrect Ans$er is. 2..

%&planation. 0.0-2-11.1/ 0.0  22.2 2..

Question Number. 1. Ho$ man6 radians are in 3!L?. Option A. 2=.

Option . !=. Option ". 4=. "orrect Ans$er is. 2=. %&planation. 3!L ' 2= radians.

Question Number. 2. What is the area including the ends/ o a c6linder diameter 1 cm and 1 cm in height?. Option A. 5=.

Option . 15=. Option ". 1=. "orrect Ans$er is. 15=.

%&planation. = * dia. & height  2 * = * radius-s7uared. 1=  5= ' 15= assuming the6 $ant the areas o the ends included/. Question Number. 3. What is the highest actor o 153?.

Option A. !. Option . 3. Option ". . "orrect Ans$er is. .

%&planation. <he BactorB is the number $hich $ill divide into it $ithout ma8ing a  raction/. Question Number. 4. "onvert into decimal the raction 5(# o !.

Option A. 4. Option . 30.5. Option ". 30.

"orrect Ans$er is. 30.5.

%&planation. 5(# * ! ' 5(2 * 15 ' 05(2 ' 30.5.

Question Number. 5. An aeroplane has 1# gallons o uel on board. 35F in the let $ing 42.5F in the right $ing ho$ much uel is in the centre tan8?.

Option A. 45 gallons. Option . 545 gallons. Option ". 1#3 gallons. "orrect Ans$er is. 45 gallons.

%&planation. 1-00.5 ' 22.5. 22.5(1 * 1# ' 22.5 * 1# ' 45.

Question Number. !. En the common raction 2(5 the number 5 is 8no$n as. Option A. the 7uotient.

Option . the numerator. Option ". the denominator. "orrect Ans$er is. the denominator.

%&planation. <he number underneath is the denominator. <he number on top is the numerator. Question Number. 0. E 42F ' 15 $hat is 1F?.

Option A. 213. Option . 35014. Option ". !3.

"orrect Ans$er is. 35014.

%&planation. Gust be @ust over double 15.

Question Number. #. What is 12.05 * 2!.1 to t$o signiicant igures?. Option A. 332.005.

Option . 332.0#. Option ". 33. "orrect Ans$er is. 33.

%&planation. No calculation re7uired. Tust pic8 the ans$er $ ith the 2 most signiicant bits all the rest are eros. Question Number. . <he raction 10(11 is classed as.

Option A. a mi&ed raction. Option . an improper raction. Option ". a proper raction.

"orrect Ans$er is. an improper raction.

%&planation. Emproper raction is one $here the numerator is bigger than the denominator. Question Number. 1. <o convert 1 inch to centimetres.

Option A. divide b6 2.54. Option . multipl6 b6 2.54. Option ". divide b6 25.4.

"orrect Ans$er is. multipl6 b6 2.54. %&planation. <here are 2.54 cm in one inch.

Question Number. 11. .! volts can be $ritten as. Option A. ! nanovolts.

Option . ! m icrovolts. Option ". ! m illivolts.

"orrect Ans$er is. ! microvolts.

%&planation. Gove decimal place ! places to right to get it to !.. ! decimal places is BmicroB. Question Number. 12. <he median o the values 2 2# 10 34 4 11 34 2!

is. Option A. 34.. Option . 20.. Option ". 2!.25. "orrect Ans$er is. 20..

%&planation. Gedian means Bin the middleB. ut them in order lo$est to highest. Iind the middle number or middle t$o numbers. 2! and 2# in this case. <he m edian is hal $a6 bet$een these to numbers.

Question Number. 13. <he mode o the ollo$ing 2# 10 34 2# 34 35 2# 4 is. Option A. 2#..

Option . 3.5. Option ". 31.. "orrect Ans$er is. 2#..

%&planation. Gode means Bthe one $hich occurs most otenB. En this case ' 2#. Question Number. 14. .4 amperes can be $ritten as.

Option A. .4mA. Option . 48A. Option ". 4mA. "orrect Ans$er is. 4mA.

%&planation. Gove the decimal places 3 places to ma8e it 4. <hree decimal places is BmilliAmpsB mA/. Question Number. 15. A sphere $ith a radius o 2 cm has a surace area o.

Option A. 1!= cm2 . Option . !4= cm2 . Option ". #= cm2 . "orrect Ans$er is. 1!= cm2 .

%&planation. Area o a sphere is 4 = r 

2

 4*=*2*2 ' 1!=.

Question Number. 1!. <he sum o an odd and an even number is. Option A. sometimes odd sometimes even.

Option . al$a6s odd. Option ". al$a6s even. "orrect Ans$er is. al$a6s odd.

%&planation. Odd  odd ' even. %ven  even ' even. Odd  even ' odd.

Question Number. 10. A copper pipe has a radius o 0(32 inch. What is this in decimal?. Option A. .2#125.

Option . .15!25. Option ". .21#05. "orrect Ans$er is. .21#05.

%&planation. Quic8est $a6 is to remember that 1(32 ' .3125 and multipl6 it b6 0. Question Number. 1#. Gillibar is the unit o.

Option A. temperature. Option . pressure. Option ". densit6.

"orrect Ans$er is. pressure. %&planation. Gillibars is pressure.

Question Number. 1. A ball rolls do$n a hill initiall6 at ! t(s. Et s lo$s do$n at a rate o 5 t(s

2

 or 0 seconds. What $ill its inal speed be?. Option A. 15 t(s.

Option . 35 t(s. Option ". 25 t(s. "orrect Ans$er is. 25 t(s.

%&planation. 5 t(s2 or 0 seconds ' 35 t(s deceleration. !-35 ' 25 t(s inal velocit6.

Question Number. 11. A dial gauge is calibrated to an accurac6 o .1 inch $hen using the dial gauge 6ou should. Option A. round o the ans$er to calibrated value.

Option . read the true value to 4 decimal places. Option ". read ive signiicant igures.

"orrect Ans$er is. round o the ans$er to calibrated value.

%&planation. ound the reading to the accurac6 it can read 3 decimals in this case/.

Question Number. 111. En a light control s6stem the control cable is allo$ed an elongation o 3F due to $ ear. <he length rom the manuacturer is 0#cm $hat is its ma&imum used length?.

Option A. #.34 cm. Option . 0#.34 cm. Option ". 2.34 cm.

"orrect Ans$er is. #.34 cm.

%&planation. 3(1 * 0# ' 2.34 0#  2.34 ' #.34.

Question Number. 112. +ou have made 2F proit. +our balance is no$ U. What $as 6our pre-proit balance?. Option A. U0.

Option . U#. Option ". U05. "orrect Ans$er is. U05.

%&planation.  2(1 '  1(1  2(1 '  12(1 '  transpose or.

Question Number. 113. One o the s7uare roots o a positive number is positive. What is the other one?. Option A. positive or negative.

Option . negative. Option ". positive. "orrect Ans$er is. negative.

%&planation. %&ample - )7uare root o 4 is either 2 since 2*2'4/ or -2 since-2*-2'4/.

Question Number. 114. A c6linder has a radius o 2cm and a length o 4cm. What is its volume? <a8e = as 3.1/.

Option A. 4!cm3 . Option . 520cm3 . Option ". #cm3 .

"orrect Ans$er is. 4!cm3 .

%&planation. ase Area ' = * r 

2

 ' 3.1 * 2 * 2 ' 4!.

Question Number. 115. "an 6ou ta8e the cube root o a negative number?. Option A. No.

Option . +es.

Option ". Onl6 certain numbers. "orrect Ans$er is. +es.

Question Number. 11!. <he process o removing roots rom the denominator o ractions is called $hat?. Option A. ationaliing the denominator.

Option . )7uaring the denominator. Option ". Derooting the denominator.

"orrect Ans$er is. ationaliing the denominator.

%&planation. Nil http9(($$$.$tamu.edu(academic(anns(mps(math(mathlab(intValgebra(intValgVtut41Vrationalie.htm. Question Number. 110. Iind the curved surace area o a c6linder diameter 2cm and length 1cm.

Option A. 125! cm2 . Option . 2512 cm2 . Option ". 4 cm2 . "orrect Ans$er is. 125! cm2 .

%&planation. Area ' = * d * h ' 3.14 * 2 * 1 ' !2#. Gultipl6 b6 2 because there is inside and outside/ ' 125!. Question Number. 11#. <he conversion actor o litres to pints is.

Option A. 2.2. Option . 1.0!. Option ". .50. "orrect Ans$er is. 1.0!.

%&planation. Nil http9(($$$.thetipsban8.com(convert.htm.

Question Number. 11. <he volume o a p6ramid is VVVV times b times h. Option A. 1(4.

Option . 1(3. Option ". 1(2. "orrect Ans$er is. 1(3.

%&planation. Nil http9(($$$.aaa8no$.com(geo0V&!.htm. Question Number. 12. What is the s7uare root o .2#?. Option A. .10.

Option . 1.10. Option ". 1.0.

"orrect Ans$er is. .10.

%&planation. Onl6 a number less than 1 can give an even smaller number $hen s7uared. Question Number. 121. A car travelling at 02 8m(hour is travelling at $hat speed?. Option A. 3m(s.

Option . 2m(s. Option ". 1m(s. "orrect Ans$er is. 2m(s. %&planation. 02 * 1(3! ' 2.

Question Number. 122. E 6ou bought a < set $orth U3 ater getting 15F discount. Ho$ much discount did 6ou get?. Option A. U15.

Option . U5. Option ". U35. "orrect Ans$er is. U5.

%&planation. Appro&imate 1F o 3  add hal again/ - Not strictl6 the correct method as this inds 15F o inal price not the original  price/ but ans$ers are ar apart enough to permit.

Question Number. 123. E 6ou bought a second hand car $orth U45 ater getting 15F discount. Ho$ much did the car cost originall6?. Option A. U3#.

Option . U53. Option ". U!. "orrect Ans$er is. U53.

%&planation. &-& 15(1/ ' 45 &-.15& ' 45 .#5& ' 45 & ' 45(.#5 ' 53 appro&/. Question Number. 124. 31 * 1 * 23 * 52

'. Option A. 3303. Option . 3303.

Option ". 33031!. "orrect Ans$er is. 33031!.

%&planation. ound o to 3  2 and 5 3 *  * 2 * 5 ' 20 1 * 1 * 1 * 1 ' 1 20 * 1 ' 20 No$ choose the ans$er based on order o magnitude.

Question Number. 125. 1(5  2.5-! '. Option A. 3.3.

Option . 2.. Option ". -3.3. "orrect Ans$er is. -3.3.

%&planation. 1(5 ' .2 .22.5 ' 2.0 2.0-! ' -3.3. Question Number. 12!. %&press 10342 in standard orm. Option A. 10.342 * 14.

Option . 103.42 * 13. Option ". 1.0342 * 15. "orrect Ans$er is. 1.0342 * 15.

%&planation. )tandard orm has the mantissa bet$een 1 and 1.

Question Number. 120. <he sum o an odd number  an odd number is a. Option A. either odd or even.

Option . odd number. Option ". even number. "orrect Ans$er is. even number. %&planation. NEC.

Question Number. 12#. %&press 05 milligrams in grams. Option A. .05.

Option . .05. Option ". .05. "orrect Ans$er is. .05.

%&planation. BmilliB is divide b6 1.

Question Number. 12. <here is 1# pounds o uel in an aircrat 25F in the let tan8 and 45F in the right. Ho$ much uel is in the centre tan8?.

Option A. #1 pounds. Option . 45 pounds. Option ". 54 pounds. "orrect Ans$er is. 54 pounds. %&planation. 3F * 1# ' 54.

Question Number. 13. What is the supplement o an angle o 30L?. Option A. #L.

Option . 53L. Option ". 143L. "orrect Ans$er is. 143L. %&planation. 1#-30 ' 143L.

Question Number. 131. <o $hat po$er must 1 be raised to e7ual 1?. Option A. !.

Option . 4. Option ". 5. "orrect Ans$er is. 5.

%&planation. An eas6 $a6 to tell the po$er o 1 to $hich a number has been raised is to count the number o places the decimal point $ould have to be moved to leave a number bet$een 1 and 1. emember the decimal point though not $ritten $ill be ater the unit in this case the last .

Question Number. 132. Iind the s7uare r oot o 1!. Option A. #.

Option . 4. Option ". #. "orrect Ans$er is. 4.

%&planation. 1! ' 1! * 1 1! ' 1!&1 ' 4&1 ' 4. Question Number. 133. What is the ratio o 5 eet to 3 inches?. Option A. 2 9 1.

Option . 5 9 3. Option ". 1 9 !. "orrect Ans$er is. 2 9 1.

%&planation. En an6 ratio caculation the units must be the same. 5 eet is e7ual to ! inches. atio o ! 9 3 or !(3 is 2 9 1. Question Number. 134. %valuate 5M 3 

!0-4/-2. Option A. 31. Option . 35. Option ". 5. "orrect Ans$er is. 5.

%&planation. Iirst $or8 out the inner brac8ets9 0-4'3 then multipl6 b6 !9 !*3'1# Ne&t the outer brac8ets 9 31#-2'1 Iinall6 multipl6  b6 59 5*1'5.

Question Number. 135. Iind the value o 3M 5-2 4-0/. Option A. .

Option . -3. Option ". 33. "orrect Ans$er is. 33.

%&planation. Iirst $or8 out the inner brac8ets9 4-0'-3 then multipl6 b6 -29 -2&-3 ' ! emember that -&-' Ne&t the outer brac8ets9 5!'11 inall6 multipl6 b6 the 39 3*11'33.

Question Number. 13!. What is the cube root o -!4?. Option A. 4.

Option . -#. Option ". -4. "orrect Ans$er is. -4.

%&planation. <he cube root o a number is the number $hich $hen multiplied b6 itsel 3 times gives the number. En this e&ample -4&-4&-4'-!4 hence the ans$er is -4.

Question Number. 130. What is the cube root o #

2

 . Option A. 2.

Option . 4. Option ". #. "orrect Ans$er is. 4.

%&planation. #

2

 ' !4 cube root o !4 is 4 as 4&4&4'!4.

Question Number. 13#. An engine o ! horsepo$er is running at 05F po$er. What horsepo$er is being developed?. Option A. 02.

Option . 1!#. Option ". !2. "orrect Ans$er is. 02.

%&planation. 05F ' 05(1 '3(4 3(4&!'3&24'02.

Question Number. 13. A blueprint sho$s a hole o .3051 to be drilled. What raction sie drill bit is most nearl6 e7ual?. Option A. 5(1!.

Option . 3(#. Option ". 3(1!. "orrect Ans$er is. 3(#.

%&planation. 3(1! ' .1#05 5(1! ' .3125 3(# ' .305 3(# drill is the nearest.

Question Number. 14. 12 out o 125 bolts produced are o an acceptable tolerance. What percentage o the bolts are not acceptable?. Option A. 5F.

Option . 4F. Option ". 25F. "orrect Ans$er is. 4F.

%&planation. Acceptable bolts 12(125 ' 24(25 as a percentage this is 24(25 * 1 ' !F Knacceptable bolts are 1F-!F ' 4F. Question Number. 141. %valuate 1(4 

3(#-1(2. Option A. 1(#. Option . 1(14. Option ". 1(2. "orrect Ans$er is. 1(#.

%&planation. "hange all the ractions to a common denominator R becomes 2(# 3(# remains same , becomes 4(#. No$ solve them b6 adding top Numerators )O ans$er is 1(#.

Option A. # 5(12. Option . 0 5(12. Option ". 0 5(0.

"orrect Ans$er is. # 5(12.

%&planation. add the $hole numbers9 34 ' 0 add the raction 3(4  2(3 ' (12  #(12 ' 10(12 ' 1 5(12 add on the 09 # 5(12. Question Number. 143. An aircrat travels 14 nautical miles in 1 hour 45 minutes. What is the average speed o the aircrat?. Option A. 05 8nots.

Option . 245 8nots. Option ". # 8nots. "orrect Ans$er is. # 8nots.

%&planation. Average speed is ound b6 dividing total distance b6 total time. 14 ( 1 3(4. <his is done b6 dividing 14 b6 0(4 ' 14 * 4(0 ' 2 * 4 ' #.

Question Number. 144. %valuate .# * .4. Option A. .32.

Option . .32. Option ". .32.

"orrect Ans$er is. .32.

%&planation. "ount the digits to the right o the decimal points in both numbers 4/ multipl6 the numbers $ithout the points #&4 ' 32 put the decimal point so there are the same number 4/ as in the 7uestion adding Bs as appropriate .32/.

Question Number. 145. "onvert 1 inches to millimetres. Option A. 254 mm.

Option . 254 mm. Option ". 25.4 mm. "orrect Ans$er is. 254 mm.

%&planation. 1 inch ' 2.54 cm '25.4 mm 1 inches ' 1 & 25.4 '254 mm. Question Number. 14!. What number is the highest common actor o 24 #4 12?. Option A. #.

Option . 12. Option ". 24. "orrect Ans$er is. 12.

%&planation. 24'2*2*2*3 #4'2*2*3*0 H"I $ill be 2*2*3'12 12'2*2*2*3*5. Question Number. 140. .314 can be $ritten

as. Option A. 3.14 & 1-5. Option . 3.14 & 15. Option ". 3.14 & 1-4. "orrect Ans$er is. 3.14 & 1-5.

%&planation. <he negative po$er indicates a reciprocal. 1-5 ' 1(1 <he eas6 $a6 to do this problem is to count the number o  places 6ou need to move the decimal point to leave 6ou $ith a number bet$een 1 and 1. En this case it is 5.

Question Number. 14#. What is the Co$est "ommon Gultiple o 5J 12J 2. Option A. !.

Option . 12. Option ". 5.

"orrect Ans$er is. !.

%&planation. <he lo$est common multiple is the lo$est number each number $ill divide into e&actl6. En this case the re7uired number is !.

Question Number. 14. %valuate 1(4:4-!/-2-#/;. Option A. 3(4.

Option . -2. Option ". 1. "orrect Ans$er is. 1.

%&planation. Iirst $or8 out the the t$o inner brac8ets9 4-!/'-2 and 2-#/'-! then --!/ ' ! ollo$ed b6 -2 ! ' 4 and inall6 1(4 & 4 ' 1. Question Number. 15. What is the average o the ollo$ing numbers? 5 13 23 12

10. Option A. 14. Option . 15. Option ". 23. "orrect Ans$er is. 14.

%&planation. <he averagemean/ o a set o numbers is the sum divided b6 the number o numbers. 513231210 ' 0J 0 divided b6 5 ' 14.

Question Number. 151. What is the volume o a rectangular tan8 5m b6 4 m b6 15cm?. Option A. 3 cu.m.

Option . 3 s7.m. Option ". 3 cu.m. "orrect Ans$er is. 3 cu.m.

%&planation. olume o a cuboid is Cength * Width * Height Ior this problem the dimensions are 5m * 4m * 1.5m ' 3cu. m. Question Number. 152. What is the depth o a rectangular tan8 $hose volume is 4 cu. m. and has a base 5m b6 1m?. Option A. #m.

Option . #cm. Option ". .#m. "orrect Ans$er is. #cm.

%&planation.  ' C * W * H  <he h eight $ill be ound b6 dividing volume b6 length & $idth <his $ill give an ans$er o .#m or #cm. Question Number. 153. "onvert 2 imperial gallons to litres.

Option A. .2 litres. Option . .2 litres. Option ". .2 litres. "orrect Ans$er is. .2 litres.

%&planation. 1 gallon ' 4.54! litres 2 gallons ' 2 & 4.54! ' .2 litres. Question Number. 154. <o ind the area o a circle use the ormula. Option A. 2=d.

Option . =r 2 .

Option ". 2=r.

"orrect Ans$er is. =r 2 .

%&planation. 2=r or =d is the ormula to ind the area o a circle.

Question Number. 155. What is the circumerence o the top o a c6lindrical tan8 $hose radius is 3 metres?. Option A. 3= metres.

Option . != metres. Option ". = metres. "orrect Ans$er is. != metres. %&planation. "ircumerence ' 2=. Question Number. 15!. !0.5 cu.m. Option A. !0.5 cu.m. Option . !05 cu.cm. Option ". !.05 cu.m. "orrect Ans$er is. !.05 cu.m.

%&planation. volume o a c6linder ' =*r 

2

 * h ' 3 & .05/

2

 &h vol ' 1.0&

4

 ' !.05 cu.m. emember all units must be the same so 15cm is changed to 1.5 m.

Question Number. 150. What is the surace area o a c6lindrical pipe o length 15 cm and diameter 5cm?. Option A. 15= s7.cm.

Option . 05= s7.cm. Option ". 305= s7.cm. "orrect Ans$er is. 05= s7.cm.

%&planation. )urace Area o a c6linder ' =d & C' = & 5 & 15 ' 05= s7.cm. Question Number. 15#. Iind the value o 5(# o 4(5.

Option A. 1(2. Option . 3(4. Option ". 25(32. "orrect Ans$er is. 1(2.

%&planation. 5(# o 4(5 is the same as 5(# & 4(5 b6 cancelling top and bottom o the ractions 5Bs cancel leaving 4(# '1(2. Question Number. 15. What is the s7uare root o 4 raised to the ith po$er?.

Option A. 32. Option . 12#. Option ". !4. "orrect Ans$er is. 32.

%&planation. <he s7uare root o 4 is 2 t$o raised to the 5th po$er is 2*2*2*2*2 ' 32. Question Number. 1!. -3M#-35/- 0-/.

Option A. !. Option . -42. Option ". 42. "orrect Ans$er is. 42.

%&planation. Wor8 out the inside brac8ets irst9 5   ' 5  3 ' # then -3 * # ' -24 ne&t 0- ' -2 then #-24 --2/ ' -14 inall6 -3 * -14 ' 42. Question Number. 1!1. Which o the ractions is e7uivalent to .05?.

Option A. 1(4. Option . 3(4. Option ". 3(4. "orrect Ans$er is. 3(4.

%&planation. 3(4 ' .05 1(4 ' .25 3(4 ' .05. Question Number. 1!2. %&press 3(# as a percentage. Option A. 3.05F.

Option . .305F. Option ". 30.5F. "orrect Ans$er is. 30.5F.

%&planation. < change a raction to a percentage irst ind the e7uivalent decimal in this case it is .305. <hen multipl6 b6 1 to give 30.5F.

Question Number. 1!3. An aeroplane lies 1 miles and uses # gallons o uel. Ho$ much uel $ill it use on a 25 mile light?. Option A. 24 gallons.

Option . 25 gallons. Option ". 2 gallons. "orrect Ans$er is. 2 gallons.

%&planation. E an airplane uses # gallons to l6 1 miles the uel consumption is 1 divided b6 # ' 12.5 miles per gallon. <he uel used or a 25 mile light $ill be 25 ( 12.5 ' 2 gallons.

Question Number. 1!4. A pinion gear $ith 1! teeth is driving a spur gear $ith 4# teeth at 12 G. Iind the speed o the pinion gear. Option A. 4 G.

Option . 3! G. Option ". 144 G. "orrect Ans$er is. 3! G.

%&planation. <he speed ratio is the reciprocal o the gear ratio.<he spur gear $ith 4# teeth is driven b6 a pinion gear o o 1! teeth. <his gives a gear ratio o 4#91! ' 391. <his means the spur gear $ill turn at 1(3 o the speed o the pinion gear and the pinion gear $ill turn at 3 times the speed o the spur gear. E the spur gear turns at a speed o 12 G the pinion turns at a speed o 3! G.

Question Number. 1!5. What is the piston displacement o a master c6linder $ith a 4cm diameter bore and a piston stro8e o 1 cm?. Option A. #= cu.cm.

Option . 4= cu.cm. Option ". 1!= cu.cm. "orrect Ans$er is. 4= cu.cm.

%&planation. <he piston displacement o a master c6linder is ound b6 multipl6ing the area o the piston head b6 its stro8e. <he area o the piston is =2 ' =&22 ' 4= <hereore the piston displacement $ill be 4= cu.cm.

Question Number. 1!!. <he curved surace area o a right cone is. Option A. 11(3 =C.

Option . =C. Option ". =2 H. "orrect Ans$er is. =C.

%&planation. Nil http9(($$$.tpub.com(content(doe(h114v2(css(h114v2V33.htm. Question Number. 1!0. Ho$ man6 millimetres in an inch?.

Option A. 2.54. Option . 25.4. Option ". 254. "orrect Ans$er is. 25.4. %&planation. Nil

Question Number. 1!#. Iind the the area o a circular ring Whose outer diameter is 1 cm and inner diameter is ! diameter?. Option A. !4= s7. cm.

Option . 1!= s7. cm. Option ". 4X s7. cm. "orrect Ans$er is. 1!= s7. cm.

%&planation. Area o a ring is = 2-r2/ A ' =52-32/. Question Number. 1!. Iind the area o the triangle sho$n.

Option A.  cm2 . Option . 12 cm2 . Option ". ! cm2 . "orrect Ans$er is. ! cm2 .

%&planation. A ' 1(2bh $here b ' base and h ' height. En this case A ' 1(2 * 3 4 ' ! cm

2

 . Question Number. 10. What is the area o the shape sho$n in s7uare cm?.

Option A. 5. Option . 5. Option ". 5.. "orrect Ans$er is. 5..

%&planation. Divide the shape into three rectangles.  1 * 3/  2 * 0/  1 * 15/ ' 31415 ' 5 m m

2

  1 cm

2

 ' 1&1 ' 1mm

2

  so the ans$er is 5(1 ' 5. cm

2

 .

Question Number. 101. What is the area o the trapeium sho$n?. Option A. Area cannot be calculated rom inormation given.

Option . 20 cm2 . Option ". 24 cm2 . "orrect Ans$er is. 24 cm2 .

%&planation. Area o a trapeium called trapeoid in K)/ is A ' 1(2ab/h. a and b are the t$o parallel sides. h is the perpendicular distance bet$een them. A ' 1(250/4 ' !*4 ' 24 cm2.

Question Number. 102. What is the depth o $ater in the tan8 sho$n i the volume o $ater is 4 litres?. Option A. # cm.

Option . 5 m.

Option ". 5 cm. "orrect Ans$er is. 5 cm.

%&planation. 1 litre ' 1 cm

3

  4 litres ' 4 cm

3

  olume o $ater is 4m & 2m & depth "hange to cm 4 * 2 * depth ' 4 <hereore depth ' 4(4*2/ ' 4(# ' 5 cm.

Question Number. 103. What is the area o the sector sho$n? <a8e ='3.14. Option A. 5 cm.

Option . 52 Yrac13J cm. Option ". 1.5 cm.

"orrect Ans$er is. 52 Yrac13J cm.

%&planation. Area o a circle ' =r 

2

  ' 3.14 * 12  ' 314cm

2

  Area o sector ' !(3! * 314 ' 314(! ' 52 Yrac13J cm

2

 . Question Number. 104. What is the volume o metal used in the pipe sho$n?.

Option A. 45= cm

2

 .

Option . 45= cm2 . Option ". 1#= cm2 . "orrect Ans$er is. 45= cm2 .

%&planation. Wor8 out the volume o the metal b6 subtracting the volume o the hole rom the outside volume o the pipe. = 

2

 h-=r 

2

 h ' =h 

2

 -r 

2

 / ' =&5&5

2

 -4

2

 /.

Question Number. 105. 24( t$ent6 our divided b6 nothing/ is. Option A. nothing.

Option . ininit6. Option ". t$ent6 our. "orrect Ans$er is. ininit6. %&planation. 24( ' ininit6.

Question Number. 10!. E 2F o 12 is 24 $hat is 24F o 2?. Option A. 4.#.

Option . 2#. Option ". 1#. "orrect Ans$er is. 4.#.

%&planation. 1F o 2 ' 2 thereore 2F o 2 ' 4 4F o 1 ' .4 thereore 4F o 2 ' .#. 4  . # ' 4.#.

Question Number. 100. A shop 8eeper sold his car or U12. E this is #F o the bu6ing price ho$ much loss did he ma8e?. Option A. U5.

Option . U15. Option ". U3. "orrect Ans$er is. U3.

%&planation. u6ing price * #(1 ' 12 u6ing price * # ' 12 * 1 u6ing price ' 12(# ' 15 15-12 ' U3. Question Number. 10#. 3  4-54-2/ '.

Option A. 13. Option . 4. Option ". -3. "orrect Ans$er is. -3.

%&planation. 3  4-54-2/ ' 0-52/ 0>1 ' -3. 1.2a Algebra.

Question Number. 1. )olve the ollo$ing e7uation9 5& ' 3&  2. Option A. 3.

Option . 5. Option ". 1. "orrect Ans$er is. 1.

%&planation. 5&-3& ' 2 2& ' 2 & ' 1.

Question Number. 2. )impli6 the ollo$ing $  /& - 6/6 - $/ ( 6 - &/$ - 6/$  /. Option A. -1.

Option . . Option ". 1. "orrect Ans$er is. 1.

%&planation. Iirst cancel the $/ because the6 are the same. <hen multipl6 out the top and bottom lines remember the smile6 ace/ and cancel $hat 6ou can ever6thing cancels - leaving 6ou $ith @ust 1(1'1/.

Question Number. 3. Ziven 43-& ' 21 ind the value o &. Option A. 43-21.

Option . 43(21. Option ". 4321. "orrect Ans$er is. 43-21.

%&planation. 43 ' 21  & 43-21 ' &.

Question Number. 4. Ga8e C the sub@ect o the ormula 2pC ' &. Option A. C ' 2p.

Option . C ' 2p ( &. Option ". C ' & ( 2p. "orrect Ans$er is. C ' & ( 2p. %&planation. Divide the & b6 2p.

Question Number. 5. Ziven that A ' [+ $hat is + e7ual to?. Option A. A-[ add .

Option . A-[ divided b6 . Option ". A-[ minus .

"orrect Ans$er is. A-[ divided b6 . %&planation. asic transposition.

Question Number. !. E 6(& ' 4 and 6 ' 5 then & '. Option A. 2.

Option . 4(5. Option ". 1 R. "orrect Ans$er is. 1R.

%&planation. 5(& ' 4 & ' 5(4 ' 1 1(4. Question Number. 0. & - 3/&  5/'.

Option A. &2 2&. Option . &2 2&-15. Option ". &2 -15.

"orrect Ans$er is. &2 2&-15.

%&planation. Gultipl6 & b6 & and 5 then multipl6 -3 b6 & and 5. <hen gather together all li8e terms. Question Number. #. 21'43-  is e7ual to.

Option A. 21-43. Option . 4321. Option ". 43-21. "orrect Ans$er is. 43-21.

%&planation. 21'43-  21 ' 43 ' 43-21.

Question Number. . %valuate. 2[

2

 \

2

 3[-\

2

 / '.

Option A. ![2 2 3&-2 . Option . !&2 2 -2&2 2 . Option ". !&3 2 -2&2 4 . "orrect Ans$er is. !&3 2 -2&2 4 .

%&planation. Gultipl6 out the brac8ets and add the indices $here necessar6. Question Number. 1. a * b/a * b/ '.

Option A. a

2

  2ab  b

2

 .

Option . a2 b2. Option ". a2  b2. "orrect Ans$er is. a2 b2 .

%&planation. Do a & a-b/ i.e. e&pand that brac8et/ then do b & a-b/ i.e. e&pand that brac8et too/. <hen gather together li8e terms. +ou $ill ind that ab and -ab cancel.

Question Number. 11. E 6(& ' 4 and & ' 5 then 6 '. Option A. 1 R.

Option . 2. Option ". 4(5. "orrect Ans$er is. 2.

%&planation. 6(5 ' 4. 6 ' 5&

4

 ' 2. Question Number. 12. Determine &. Option A. .2.

Option . .50. Option ". #.01. "orrect Ans$er is. .2.

%&planation. oot o #1 is  so it must be .&&& $hich rules out b/. )ince the content o the brac8ets comes to a negative number it is  positive $hen it is s7uared/.

Question Number. 13. Iind C in the ollo$ing e&pression.

Option A. Q2 " (  2 . Option . Q2 "2 ( . Option ". Q2  2 ". "orrect Ans$er is. Q2  2 ".

%&planation. Q& to remove the  rom H). )7uare both sides to remove the root r om H). Gultipl6 CH) b6 " to remove the " rom H) and 6ou are let $ith C.

Question Number. 14. <he heat o a resistor is given b6 the e7uation h ' E

2

 <. Iind the current E. Option A. .

Option . . Option ". . "orrect Ans$er is. .