Maths PSA Quantitative Aptitude for Class VIII 2014-15

70 Pages·2015·1.03 MB·English

MATHEMATICS

PROBLEM SOLVING ASSESSMENT

QUANTITATIVE APTITUDE

for

CLASS – VIII
2014 – 15

CHAPTER WISE MULTIPLE CHOICE
QUESTIONS

Prepared by
M. S. KUMARSWAMY, TGT(MATHS)
M. Sc. Gold Medallist (Elect.), B. Ed.

Kendriya Vidyalaya GACHIBOWLI

Prepared by: M. S. KumarSwamy, TGT(Maths) Page - A -
PREFACE

It gives me great pleasure in presenting the Quantitative Aptitude Study material
for Problem Based Assessment (PSA) for Class VIII Mathematics for II-term.

I avail this opportunity to convey my sincere thanks to respected sir, Shri S.
Vijay Kumar, Director, KVS ZIET Gwalior, respected madam Smt. R. Kalavathi, Deputy
Commissioner, KVS RO Hyderabad, respected sir Shri Isampal, Deputy Commissioner,
KVS RO Bhopal, respected sir Shri P. V. Sairanga Rao, Deputy Commissioner, KVS RO
Varanasi, respected sir Shri P. Deva Kumar, Deputy Commissioner, KVS RO
Ahmedabad, respected sir Shri Sirimala Sambanna, Assistant Commissioner, KVS RO
Hyderabad, respected sir Shri. K. L. Nagaraju, Assistant Commissioner, KVS RO
Bangalore, respected sir Shri.Gangadharaiah, Assistant Commissioner, KVS RO
Bangalore and respected Shri M.K. Kulshreshtha, Assistant Commissioner, KVS RO
Chandigarh for their blessings, motivation and encouragement in bringing out this notes
in such an excellent form.

I also extend my special thanks to respected sir Shri. P. S. Raju, Principal, KV
Gachibowli, respected madam Smt. Nirmala Kumari M, Principal, KV Mysore and
respected sir Shri. M. Vishwanatham, Principal, KV Raichur for their kind suggestions and
motivation while preparing this Question Bank.
I would like to place on record my thanks to respected sir Shri. P. K. Chandran,
Principal, presently working in KV Bambolim. I have started my career in KVS under his
guidance, suggestions and motivation.

Inspite of my best efforts to make this notes error free, some errors might have
gone unnoticed. I shall be grateful to the students and teacher if the same are brought to my
notice. You may send your valuable suggestions, feedback or queries through email to
[email protected] that would be verified by me and the corrections would be
incorporated in the next year Question Bank.

M. S. KUMARSWAMY

Prepared by: M. S. KumarSwamy, TGT(Maths) Page - B -
DEDICATED
TO
MY FATHER

LATE SHRI. M. S. MALLAYYA

Prepared by: M. S. KumarSwamy, TGT(Maths) Page - C -
CLASS VIII: CHAPTER - 1
RATIONAL NUMBER

1. Associative property is not followed in _____
(a) whole numbers (b) integers (c) natural numbers (d) rational numbers

2. ____ is the identity for the addition of rational numbers.
1
(a) 1 (b) 0 (c) – 1 (d)
2

3. ____ is the multiplicative identity for rational numbers.
1
(a) 1 (b) 0 (c) – 1 (d)
2
7
4. The additive inverse of is
5
7 7
(a) 1 (b) 0 (c) – (d)
5 5
5. Zero has ________ reciprocal.
(a) 1 (b) 2 (c) 3 (d) no

6. The numbers ________ and ________ are their own reciprocals
(a) 1 and 0 (b) 1 and –1 (c) –1 and 0 (d) none of these.

7. The reciprocal of – 5 is ________.
1 1
(a) 5 (b) 1 (c) – (d)
5 5

1
8. Reciprocal of , where x 0 is ________.
x
(a) 1 (b) x (c) 0 (d) none of these

9. The product of two rational numbers is always a _______.
(a) whole numbers (b) integers (c) natural numbers (d) rational numbers

4 3 15 14
10. Simplify:   
 
5 7 16  9 
1
(a) 1 (b) 0 (c) 2 (d)
2

5 7
11. The sum of the rational numbers and is
16 12
7 11 13 1
(a) (b) (c) (d)
48 30 48 3

7 4
12. What number should be added to to get ?
12 15
19 11 51 1
(a)  (b)  (c) (d)
60 30 60 20

13. The reciprocal of a positive rational number is ________.
(a) negative (b) positive (c) zero (d) none of these
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3
14. What number should be subtracted from  to get –2?
5
7 13 13 7
(a) – (b) – (c) (d)
5 5 5 5

11 5 9 29
15. Which of the rational numbers , , , is the greatest?
28 7 14 42
11 5 9 29
(a) (b) (c) (d)
28 7 14 42

5 13 3 7
16. Which of the rational numbers , , , is the smallest?
16 24 4 12
5 13 3 7
(a) (b) (c) (d)
16 24 4 12

2 4 7 11
17. Simplify:   
3 5 15 20
1 13 4 7
(a) (b) (c) (d)
5 60 15 30

3
18. Rational number is equal to:
40
(a) 0.75 (b) 0.12 (c) 0.012 (d) 0.075

19. A rational number between 3 and 4 is:
3 4 7 7
(a) (b) (c) (d)
2 3 2 4

3 4
20. A rational number between and is:
5 5
7 7 3 4
(a) (b) (c) (d)
5 10 10 10

1 3
21. A rational number between and is:
2 4
2 5 4 1
(a) (b) (c) (d)
5 8 3 4

3
22. The multiplicative inverse of is:
40
(a) 1 (b) 0 (c) any number (d) none of these
1 8
23. Find x such that 
5 x
(a) –5 (b) –40 (c) any number (d) none of these

7 x
24. Find x such that 
3 6
(a) –14 (b) –3 (c) –21 (d) none of these

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3 x
25. Find x such that 
5 25
(a) –5 (b) –15 (c) –15 (d) none of these

13 65
26. Find x such that 
6 x
(a) –30 (b) 30 (c) –6 (d) none of these

16
27. Find x such that  4
x
(a) 4 (b) –4 (c) 2 (d) none of these

48
28. Find x such that 2
x
(a) 24 (b) –12 (c) –24 (d) none of these

3 x
29. Find x such that and are equivalent rational numbers.
8 24
(a) 3 (b) 9 (c) 8 (d) none of these

9 4
30. Find the value of 
2 3
(a) 6 (b) –6 (c) 1 (d) none of these

3 5
31. Find the value of 
5 3
(a) –1 (b) 0 (c) 1 (d) none of these

3 2
32. Find the value of 
10 3
1 1
(a) 5 (b) (c) (d) none of these
5 5

2
33. Find the value of (6)
3
(a) –9 (b) 9 (c) –4 (d) none of these

1 3
34. Find the value of 
8 4
1 1 3
(a) (b) (c) (d) none of these
6 6 32

6
35. The equivalent rational number of is
5
3 12 12
(a) (b) (c) (d) none of these
5 10 10

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5 2
36. Fill in the boxes with the correct symbol: .....
7 3
(a) > (b) < (c) = (d) none of these

4 5
37. Fill in the boxes with the correct symbol: .....
5 7
(a) > (b) < (c) = (d) none of these

The points P, Q, R, S, T, U and V on the number line are such that, US = SV = VR,
and WT = TP = PQ. Answer the following question from Q13 – Q20.
U V R W T Q
-1 S 0 P 1

38. The rational number represented by P
3 2 4
(a) (b) (c) (d) none of these
5 5 5

39. The rational number represented by Q
3 2 4
(a) (b) (c) (d) none of these
5 5 5

40. The rational number represented by R
3 2 4
(a) (b) (c) (d) none of these
5 5 5

41. The rational number represented by S
3 2 4
(a) (b) (c) (d) none of these
5 5 5

42. The rational number represented by T
3 2 4
(a) (b) (c) (d) none of these
5 5 5

43. The rational number represented by U
3 2 4
(a) (b) (c) (d) none of these
5 5 5

44. The rational number represented by V
3 2 4
(a) (b) (c) (d) none of these
5 5 5

45. The rational number represented by W
3 2 4
(a) (b) (c) (d) none of these
5 5 5

7 14
46. Fill in the boxes with the correct symbol: .....
8 16
(a) > (b) < (c) = (d) none of these
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5 5
47. Fill in the boxes with the correct symbol: .....
11 11
(a) > (b) < (c) = (d) none of these

1 1
48. Fill in the boxes with the correct symbol: .....
3 4
(a) > (b) < (c) = (d) none of these

18
49. Rewrite the rational number in the simplest form.
48
9 3 3
(a) (b) (c) (d) none of these
24 8 8

24
50. Rewrite the rational number in the simplest form.
72
12 6 1
(a) (b) (c) (d) none of these
36 18 3
44
51. Rewrite the rational number in the simplest form.
72
22 11 11
(a) (b) (c) (d) none of these
36 18 18
3 6 9 12
52. Write the next rational number in the pattern: , , ; ,.........
5 10 15 20
12 15 15
(a) (b) (c) (d) none of these
25 25 25
1 2 3
53. Write the next rational number in the pattern: , , ,........
4 8 12
4 4 4
(a) (b) (c) (d) none of these
15 16 20

1 2 3 4
54. Write the next rational number in the pattern: , , , ,........
6 12 18 24
5 5 4
(a) (b) (c) (d) none of these
30 30 30
1 2 3 4
55. Write the next rational number in the pattern: , , , ,........
7 14 21 28
5 5 4
(a) (b) (c) (d) none of these
35 35 35
1 1 1
56. Write the next rational number in the pattern: 1, , , ,........
2 4 6
1 1 1
(a) (b) (c) (d) none of these
8 8 8

36
57. Rewrite the rational number in the simplest form.
24
18 9 3
(a) (b) (c) (d) none of these
12 6 2

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CLASS VIII: CHAPTER - 2
LINEAR EQUATION IN ONE VARIABLE

1. The solution of 2x – 3 = 7 is
(a) 2 (b) –2 (c) 5 (d) –5

2. Which of the following is not a linear equation
(a) 2x + 5 = 1 (b) x – 1 = 0 (c) y + 1 = 0 (d) 5x + 3

3. Solve 2y + 9 = 4
(a) 2 (b) –2 (c) 5 (d) none of these

x 5 3
4. Solve :  
3 2 2
(a) 12 (b) –12 (c) 15 (d) none of these

15
5. Solve: 7x9
4
3 3
(a) (b) – (c) 1 (d) none of these
4 4

6. Solve: x – 2 = 7
(a) 5 (b) –9 (c) 5 (d) 9

7. Solve: y + 3 = 10
(a) 7 (b) –7 (c) 13 (d) –13

8. Solve: 6 = z + 2
(a) 4 (b) –4 (c) 8 (d) –8

9. Solve: 6x = 12
(a) 2 (b) –2 (c) 3 (d) none of these

x
10. Solve: 10
5
(a) 15 (b) 50 (c) –50 (d) none of these

2x
11. Solve: 18
3
(a) 9 (b) 27 (c) –9 (d) none of these

12. The present age of Sahil’s mother is three times the present age of Sahil. After 5 years
their ages will add to 66 years. Find the present ages of Sahil.
(a) 12 (b) 14 (c) 16 (d) 20

13. Solve: 7x – 9 = 12
(a) 2 (b) –2 (c) 3 (d) none of these

14. Find the solution of 2x + 3 = 7
(a) 2 (b) –2 (c) 3 (d) none of these

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15. Solve: 8x = 20 + 3x
(a) 4 (b) –4 (c) 2 (d) none of these

2 7
16. Solve: x1
3 3
(a) 2 (b) –2 (c) 3 (d) none of these

x x
17. Solve:   x7
4 6
(a) 12 (b) –12 (c) 3 (d) none of these

3x5 1
18. Find the solution of 
2x1 3
(a) 2 (b) –2 (c) 3 (d) none of these

x6 x3 5x4
19. Find the solution of  
4 5 8
(a) 8 (b) –8 (c) 4 (d) none of these

20. Solve: 8x + 3 = 27
(a) 3 (b) –3 (c) 2 (d) none of these

21. Solve: 5x – 7 = 2x + 8
(a) 5 (b) –9 (c) 5 (d) 9

3
22. The perimeter of a rectangle is 13 cm and its width is 2 cm. Find its length in cm.
4
3 3 3
(a) 3 (b) –3 (c) 2 (d) none of these
4 4 4

23. Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all
a sum of Rs 77, how many coins of each denomination does he have?
(a) 7, 21 (b) 3, 9 (c) 6, 18 (d) 5, 15

24. The sum of three consecutive multiples of 11 is 363. Find these multiples.
(a) 117, 121, 125 (b) 110, 121, 132 (c) 110, 99, 154 (d) 154, 88, 121

25. The difference between two whole numbers is 66. The ratio of the two numbers is 2 :
5. What are the two numbers?
(a) 110, 44 (b) 120, 54 (c) 140, 74 (d) none of these

26. Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
(a) 55, 35 (b) 50, 45 (c) 40, 25 (d) none of these

27. Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
(a) 45, 27 (b) 50, 32 (c) 40, 22 (d) none of these

28. Three consecutive integers add up to 51. What are these integers?
(a) 117, 121, 125 (b) 110, 121, 132 (c) 110, 99, 154 (d) none of these

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