2014 Mathematics P1

Full text

(1)CSEC Mathematics January 2014 P1 L. -3.. The number 3. I 4063 written correct to 3 decimal places is (A). (B) (C) (0). 6.. 3.140 3.141 3.146 3.150. In a school the ratio of the number of pupils to the number of teachers is 20 : I. If the number of.pupils is 840, how many teachers are there? 40 42 800 840. (A) (8). (C) (0). 2.. If4.3 x 0.37 = 1.591, then 0.43 x 370 is (A) (B). (C) (0). 3.. (A). 9~. (8). 9~. (C). 9.!2. 8.. (8). (C) (0). 35. If $350 is shared in the ratio 2:5, the SMALLER share is (A) (B). (C) (0). $250 $175 $100 $ 70. Wha_t is the HIGHEST common factor of the set of numbers (54, 72, 90}? (A) (B) (C). 35. 0.38 38 38.IO 38.11. 3n- I 3n + 2 3n - 2 3n + 2n. (0). 35. 929 35. If 3n is an odd number, which of the following is an even number? (A) (8) (C). 9 18 90 I 080. (0). 9.. . 99. x. (A). Written correct to two significant figures, 18.96 x 2.03 is (A). 5.. 7.. ·2 3 5- + 4-= 7 5. (0). 4.. 1.59I I5.91 . 159.1 1591.0. (8). (C) (0). 10.. I 0 I has the same value as · (99 x JOO)+ I (99 x I 00) - (99 x I) (99 x 100) + (99 x I) (99 x I 00) (99 x I). The first three common multiples of 3, 4 and 6 are (A). (8) (C) (0). 0, I, 2_ 3, 4, 6 6, 8, 12 12,24,36. GO ON TO THE NEXT PAGE.

(2) -4lL. If p;: {2,3,5,7), Q = (2,3,6} and s = {2,4,5}. Item 13 refers to the Venn diagram below.. u H. v. ThenP n Q n S= 5. {2} {2,3} {2, 3, 5} (2, 3, 4, 5, 6, 7}. (A) (B). (C) (D). 2. 4. 3. Item 12 refers to the Venn diagram below.. u. B.. In the Venn diagram U = {students who play games} H = {students who play hockey} V = (students who play volleyball}. Q p. The number of students in each set is shown. How many students do NOT play volleyball? .. 12.. In the Venn diagram, n(P) = 5, n(Q) = 9 and n(P v Q) = 10.. (A) (B) (C}. What is n(Q n P)?. (D). (A) (B) (C) (D). 4 5 9. 14.. All students in a class play Scrabble or Checkers or both. If 36% of the students play Scrabble only and 48% of the students play. Checkers only,· what per<:entage of students play BOTH games? (A) (B). 12. · CC). 84 88. (D). 15.. 2 3 5 8. 16. The cost ofa caiculatorexclusive of sales tax is $.120 .. Susan boiight a calculator arid had to pay a sales tiix of 10%. How much change would she receive from $1407 (A) (B). $ 8.00 $12.00. (C). $28.00 $32.00. (D). GO ON TO THE NEXT PAOE.

(3) -5-.

(4) !. L \. -624.. 5(2x - y) - 2(3y- 5x) = (A). (B) (C) (D). 25.. (C) (D). 26.. (A). - 12. (B) (C). -6. (A) (B). (C) (D). 28.. 32.. (C) (D). If x is an integer which satisfies the inequalities 4 < x - 2 < 8, then the SMALLEST possible value ofx is (A) (B). 7 6. (C) (D). 5 4. 4. _,.. 2' 2' 2• 2". How many .kilograms are there in one tonne?. (C) (D). 10 100 1 000 10 000. If it took a speed-boat 9 hours to travel a distance Of 1 080 km, what was its average speed, in kmh- 1? {A). (B) (C) (D). 34.. 22 =. (B). (A). 33.. ,then5 *3=. .J34. {A). (B). 0.015 0.15 1.5 15.0. 5 52 60 628. JS. (C) (D). 26. Jm'-n'. 2. (B). (C) (D). lf a= 5, b = 2, c = 4, then 6ab - 2c = (A) (B). 29.. 31.. 6 19. If 15 2 = 225 then the square root of 0.0225 is. Ifm*n= {A). -6a -Sa 5a' 6a'. If50-3x=x-26, thenx=. (D). 27.. ·2ox- lly 5x-7y 2x-6y - l ly. The value of ( - 2a) (- 3a) is (A) (B). 30.. 12 102 120 1200. The distanc;:e around a lake is 8 km. On a map, this distance around the lake is represented by a length of 2 cm. The scale on the map is (A) (B). (C) (D). l : 40 1 : 2 000 l : 200 000 l : 400 000. GO ON TO THE NEXT PAGE.

(5) -7-. Item 35 refers to the diagram below, not drawn to scale, which shows the sector of a circle with centre, 0.. 38.. p. A boy leaves home at 09: I 5 hours and arrives at school at 10:05 hours. If he travels non-stop at an average. speed of 6 kmh- 1 , how many km is his home from school?. 2 km 5 km 6 km 9km. (A) (B). (C) (D). Q 35.. In the diagram, the length oftheminorarc, PQ, is 8 cm. What is the circumference of the circle? (A) (B). (C) (D). Item 39 refers to the diagram below, not drawn to scale; which shows a cuboid.. 16cm 24 cm 48cm 64 cm. t. 5cm. + 36.. Fifty guests each had 2 glasses of champagne. Each glass held 150 millilitres. How many litres of champagne were used? (A) (B). (C) (D). 39.. 0.15 1.5 15 150. The volume of the cuboid is 320 cm' and the height is 5 cm. If the cuboid has a square base, what is the length of one side of the base? (A) (B). (G) (D). 8cm 16cm 32 cm 64cm. Item 40 refers to the information below.. Item 37 refers to the diagram below, not drawn to scale, which shows a trapezium.. The following scores were· obtained by eleven footballers in a goal-shoot competition: 5, 3, 6, 8, 7, 8, 3, 11, 6, 3, 3 40.. 37.. The area of the trapezium is (A). (B) (C) (D). The modal score is (A) (B) (C). (D). 3 6 8 11. 45 cm' 65 cm' 90 cm2 130 cm2. GO ON TO THE NEXT PAGE.

(6) -8-. 41.. The table below shows the frequency of scores obtained by students in a test.. Item 45 refers to the pie-chart below which shows the preference ..in drinks of a group of students. AOC is a diameter of the circle.. 2 3 5 6 8 10 8 4 6 3 9 2. Scores No. of Students. The range of the scores is (A). (B) (C) (D). pineapple juice. 2 7 8 10. B. milk. A. 42.. Six hundred students write an examination. The probability of a randomly selected student failing the .. . . I exammat1on .'s. 45.. S.. (A) (B) (C) (D). How many students are expected to pass? (A) (B) (C) (D). 43.. Jn a class of 20 students, 12 are girls. What is the probability that a student chosen at random is a boy? (A) (B). (C) (D). 44.. 120 480 500 600. If 12 students prefer lemonade, then the TOTAL.number of students is. 46.. 48 72 180 360. Which of the following diagrams BEST illustrates a function?. (A). l. 2 2 5. (B). 3 5 2 3. (C). If the mean of the four numbers 4, 8, x and 12 is 10, then x is. (A) (B) .(C) (D). 4 10. 12. (0). 16. 00 ON TO THE NEXT PAGE.

(7) -9-. 47.. The equation of the line which passes through the point(0,2) and has a gradient I . 0 f - IS 3 (A). y= 3x. (B). y = 3x. (C). I y= - x 3. (D). I Y =-x+2 .3. 51.. +2. -. 0. 48.. (B). {0, 2,4). (C). {-4,-1, 0, I, 4). (D). {-4,-2, 0, 2,4). I. I. 2. 2 3. 8. c_. {0, 1,4). AC and DE are straight lines intersecting at B. Angle DBA = 58° .. .. -. (A). Items 52-53 refer to the diagram below.. Item 48 refers to the diagram below. JC. The range off x -+ x' for the domain {-2, -1, 0, I, 2}is. .. '. A. E. The diagram represents the mapping 52.. (C) (D). x-+ x + 2 x-+ x +I X-+ 2' x-+ 2x. Which of the fol lowing angles are equal? (A). (8) (C) (D). L L L L. DBCand CBEand ABD and ABD and. L L L L. CBE ABE CBD CBE. Ifj(x) = 2x2- I, thenj(- 3) =. (A) (B) (C) (D). -32 - 19 17 35. 53.. The measure of angle ABE is (A) (B). (C) (D). 50.. c. 4". (A) (B). 49.. D. 5go I 22° I42° 302° .. Which ofthefollowingsets is represented by the function f x -+ x' + 3 where xe{Q,1,2,3}?. fi. (A). {(O, 3), (I, 4), (2, 7), (3, 12)}. (B). {(O, 3), (I, S), (2, 7), (3, 9)}. (C). {(O, 3), (I, 4), (2, 5), (3, 6)}. (D). {(O, 3), (I, I), (2, 4), (3, 9)). GO ON TO THE NF.XT PAOF..

(8) - I0 -. Item 54 refers to the diagram below.. 56.. The image of a point P(- 2, 3) under a . translation (. !). is. (- 6, 12) (- 5,- I). (A) (B) (C) (D). (1,7) (5, I). ltem57 refers to the diagram below which shows a transformation. y 54.. JfO is the centre of the circle, theny' is (A). (8) (C) (D). p. 25° 80° 90° 100°. Item 55 refers to the triangle PQR below. p. P'. 57.. The transformation which will map triangle PQR onto P'Q'R' is (A) . {B) (C). a rotation of I 80°abouttheorigin a reflection in the Iine y = x an enlargement, centre R, of scale factor -1 a translation parallel to th ex-ax is. ( D) Q. 55.. R. In the triangle.cos as (A). (B). (C) (D). QR PR QR PQ PQ PR PQ QR. P may. Item 58 refers to the following pair of similar triangles. C. be expressed. si. 0. 0. '\ "~. 38° 6cm. A. 58.. 8. 3cm. N. The length of MO, in centimetres, is {A) (B) (C). (D). 7 6 3.S 3. ·,.

(9) - 11 -. Item 59referstothediagram below which shows an enlargement.. Item 60 refers to the diagram below which shows a ladder 5 metres long leaning against a vertical wall. The foot of the ladder is 3 metres away from the wal I.. y 6. 5 4. 3 A. 2. 1. B. c. 0. I. 59.. e'. 7. 3. 4. 5. 6. In the diagram, triangle ABC is mapped onto triangle A'B'C' where 0 is the centre of enlargement. What is the scale factor of the enlargement? {A). ~. 7 x. 60.. 1. (B). 2 -2. (C). 1. 3 m -----">). How far up the wall does the ladder reach? {A) {B) (C) {D). 4m 6 m 8m 15 m. 2 {D). 2. END OF TEST. IF YOU FINISH BEFORE TIME IS CALLED, CHECK YOUR WORK ON THIS TEST.. ".

(10)

No results found