BOUDDHA MERIDIAN
SCHOOL
FIRST TERMINAL MODEL QUESTION – 2016/17
Class: VI Subject: Maths F.M.: 100
Time: 3 hours P.M.: 40
Attempt ALL the questions. Group ‘A’ [40 × 1 = 40] 1. State 'True' or 'False':
a) If A = {1, 3, 5}, then 2 Î A.
b) 6 Ï {even numbers}.
c) P = {a} is an unit set.
d) The smallest prime number is 1.
e) H.C.F. of 5 and 15 is 15.
f) 2a and 2a3 are like terms.
g) In 5a3, the coefficient is 5.
h) 6abc is a binomial expression.
i) 860 is an acute angle.
j) 90° is an acute angle.
2. Match the following:
Group 'A' Group 'B'
a) Finite set i) 1
b) Empty set ii) x + 5
c) Square root of 16 is iii) 40°
d) Cube of 1 is iv) {1, 2,3,….10}
e) Sum of x and 5 is v) 180°
f) Binomial expression vi) factors of 8
g) Complement of 50° vii) 360°
h) The straight angle viii){having no element}
i) An angle of complete turn ix) 2x + 3y
j) {1, 2, 4, 8} x) 4
3. Fill in the blanks:
a) If P = {2, 3, 5, 7}, n(P) = _________.
b) 2 times the sum of 5 and 3 is _________.
c) The L.C.M. of 5 and 7 is _________.
d) Square of 14 is _________.
e) Cube root of 27 is _________
f) 6a + b – c is a _________.
g) If x = 2, then x + 5 is equal to _________.
h) The degree measurement of two right angles is _________.
i) The quotient of x divided by y = _________.
j) Two times a and b = _________.
4. Choose the correct answers:
a) x represent the sum of 5 and 7, then x is ___________.
i) variable ii) constant iii) both i) & ii) iv) none
b) Algebraic expression for the sum of x and y is ___________.
i) xy ii) iii) x + y iv) x – y
c) If x° and 30° make a right angle, then x° = ___________.
i) 60° ii) 30° iii) 90° iv) 180°
d) An angle of half turn represents ___________.
i) 90° ii) 180° iii) 360° iv) all
e) If x = 3, y = 2, then xy = ___________.
i) 5 ii) 6 iii) 3 iv) 2
f) (– 4) ´ (–4) = ___________.
i) 8 ii) –8 iii) 16 iv) –16
g) Angles in linear pair represent ___________.
i) 0° ii) 90° iii) 180° iv) 360°
h) Angles are measured by ___________.
i) scale ii) compass iii) protractor iv) pencil
i) Vertically opposite angles are ___________.
i) Those whose sum is 90° ii) those whose sum is 180°
iii)equal iv) none of the above
j) If x and 60° make a straight angle, they are ___________.
i) Complementary angles ii) supplementary angles
Group ‘B’ [5 × (2 + 2) = 20] 5. a) Write in listing method:
N = {natural number less than 10}
b) Describe the set in words (Description method): P = {1, 2, 3, 6}
6. a) Simplify: 100 – {(3 ´ 12) + (2 ´ 25)}
b) Find the H.C.F. of 96 and 120
7. a) Find the L.C.M. by division method: 24, 30, 40
b) Find the square root of 324.
8. a) Add: 2a + 3b and 4a + 6b
b) Subtract: 6a + 9 from 8a – 4
9. Find the sizes of unknown questions:
a) b)
Group ‘C’ [10 × 4 = 40]
10.If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, find:
a) A È B b) A Ç B
Illustrate them in diagram.
11.Simplify: 55 ¸ 11 [120 ¸ 2 {4 + (10 + 5 – 7)}]
12.Find the smallest number which is exactly divisible by 15, 20 and 30.
13.Find the cube root of 1728.
14.Find the greatest number that divides 72 and 120 without leaving remainder.
15.Add: 5x2 + 3xy + 4y2 and 8x2 – xy – 3y2
16.Subtract: 3ab – 2bc + 5 from 8ab – 2bc – 3
17.Simplify: 10x – (3x + 6y) – (2y + 7x)
18.Find the sizes of unknown angles:
19.Draw figure given below and calculate the sizes of x°, y° and z°. What is the sum of the angles of a triangle?
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Marking Schemes
Class: VI Subject: Maths F.M.: 100
Time: 3 hours P.M.: 40
Group ‘A’
1. a) F b) F c) T d) F e) F
f) F g) F h) F i) T j) F
2. a) {multiples of 5} b) {having no element} c) 4
d) 1 e) (x + 5) f) 2x + 3y
g) 40° h) 180° i) 360°
j) Factors of 8
3. a) n(P) = 4 b) 16 c) 35
d) 196 e) 3 f) trinomial
g) 7 h) 180° i)
j) 2 (p + q)
4. a) constant b) x + y c) 60°
d) 180° e) 6 f) 16
g) 180° h) protractor i) they are equal
j) supplementary angles
Group ‘B’ [5 × (2 + 2) = 20]
5. a) N = {1, 2, 3, 4, 5, 6, 7, 8, 9} ® [2]
b) F = {set of factors of 8} ® [2]
6. a) 100 – {(3 ´ 12) + (2 ´ 25)}
= 100 – {36 + 50} ® [1]
= 100 – 86
= 14 ® [1]
b) 2 96 2 120
2 48 2 60
2 24 2 30
2 12 3 15
2 6 5
3
For correct factors ® [1]
For H.C.F. correct ® [1]
7. a) 2 24 , 30 , 40
2 12 , 15 , 20 2 6 , 15 , 10
3 3 , 15 , 5
5 1 , 5 , 5
1 , 1 1
For division ® [1]
For correct L.C.M. = 120 ® [1]
b) 2 324
2 162 3 81 3 27
3 9
3 3
1
\ =
= 2 ´ 3 ´ 3
= 18 ® [1]
8. a) (2a + 3b) + (4a + 6b)
= 2a + 4a + 3b + 6b For regrouping ® [1]
= 6a + 9b ® [1]
b) (8a – 4) – (6a + 9)
= 8a – 4 – 6a – 9 For sign rule to open bracket ® [1]
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= 2a – 13 ® [1]
9. a) x° + 60° + 30° = 180° For statement & reason ® [1]
[being straight angle] or, x° = 180° – 90°
\ x° = 90° ® [1]
b) x° + 3x° + 36° = 180° [being straight angle] ® [1]
or, 4x° = 180° – 36° or, x° =
\ x = 36°
Again, 3x° = 3 ´ 36° = 108°
Group ‘C’ [10 × 4 = 40]
10.A È B = {1, 2, 3, 4, 5, 6, 7} ® [1]
A Ç B = {3, 4, 5} ® [1]
For correct diagram ® [2]
11. 55 ¸ 11 [120 ¸ 2 {4 + (10 + 5 – 7)}]
= 55 ¸ 11 [120 ¸ 2 {4 + 8)}] ® [1] for small bracket = 55 ¸ 11 [120 ¸ 2 {12)}]
= 55 ¸ 11 [120 ¸ 24] ® [1]
= 55 ¸ 11 [5] ® [1]
= 55 ¸ 55
= 1 ® [1]
12. 2 15 , 20 , 30 2 15 , 10 , 15 3 15 , 5 , 15
5 5 , 5 , 5
1 , 1 1
L.C.M. = 2 ´ 2 ´ 3 ´ 5 = 60 ® [1]
Answer in words ® [1]
13. 2 1728
2 864 2 432 2 216 2 108 2 54 3 27
3 9
3 3
1
\ =
= 2 ´ 2 ´ 3
= 12 ® [2]
14. 74) 120 (1 –72
48 ) 72 (1 – 48
24 ) 48 (2 – 48
´
H.C.F. = 24 ® [1]
Answer in words ® [1]
15. 5x2 + 3xy + 4y2 and 8x2 – xy – 3y2
= 5x2 + 2x2 + 3xy – xy + 4y2 – 3y2 (Regrouping with sign) ® [2]
= 7x2 + 2xy + y2 (For correct calculation) ® [2]
16. 8ab – 2bc – 3 – (3ab – 2bc + 5) ® [1]
= 8ab – 2bc – 3 – 3ab + 2bc – 5 ® [1]
= 8ab – 3ab – 2bc + 2bc – 3 – 5 ® [1]
= 5ab – 8 ® [1]
17. 10x – (3x + 6y) – (2y + 7x)
= 10x – 3x – 7x – 6y – 2y ® [1]
= 10x – 10x – 6y – 2y ® [1]
= – 8y ® [1]
18. x° + (x + 10)° + (x + 8)° = 180° [Being straight angles] ® [1]
or, x° + x° + x° + 10° + 8° = 180° or, 3x° + 18° = 180°
or, 3x° = 162° or, x° = \ x° = 54°
\ a° = x° = 54° [VOA] ® [1]
b° = (x + 10)° [VOA]
\ b° = (54 + 10)° = 64° ® [1]
c° = (x + 8)° [VOA]
\ c° = (54 + 8)° = 62° ® [1]
19. x° + 150° [Being straight angles] or, x° = 180° – 150°
\ x° = 30° ® [1]
y° + 80° = 180°
\ y° = 100° ® [1]
z° + 130° = 180°
\ z° = 50° ® [1]
Sum of angles = x° + y° + z°
= 180° ® [1]
