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KENDRIYA VIDYALAYA SANGATHAN, LUCKNOW REGION

TERM 2 EXAMINATIONS (2021-22) (SAMPLE PAPER)

SUBJECT: MATHEMATICS

CLASS: VIII

MAX. MARKS: 40                                                                                        DURATION: 2.00 HRS

 

General Instructions:

1.       All questions are compulsory.

2.       This question paper contains 32 questions divided into four Sections A, B, C, and D.

3.       Section A (Q 1-10) comprises 10 MCQ questions of 1 mark each. (Total 10 marks)

Section B (Q 11-20) comprises 10 MCQ questions of 1 mark each. (Total 10 marks)

Section C (Q 21-26) comprises of 6 questions (3VSA+2 SA+1LA). (Total 10 marks)

Section D (Q 27-32) comprises of 6 questions (3VSA+2 SA+1LA). (Total 10 marks)

 

Section A

1. The product of 7a and (5b +6) is

a) 35ab + 6          b) 35ab + 42a     c) 77ab                 d) 35ab + 42

2. Factorization of 21ab – 70bc is

a) 7ab (3b – 10c)               b) 7a( 3b – 10c)                                 c) 7b( 3a – 10c)                  d) 7ab( 3b – 10c)

3. The factorisation of 4x + 16 is _______

  a ) 4(x + 4)         (b) 4(x - 4)           (c) x + 4                (d) 4x + 4 15.

4 .The factorisation of 10x² – 18x³ + 14x⁴ is

 a) 2x² (7x² – 9x + 5)         (b) 2x (7x² – 9x + 5)         (c) 2 (7x² – 9x + 5)            (d) 2x³ (7x² – 9x + 5)

5. 1 km² is equivalent to ______ m²

 a)  10⁴ m²            (b) 10⁶ m²            (c) 10⁵ m²             (d) 10³ m²

6. Find the value of (6^-1 - 8^-1 ) ^-1

a) 24                      (b) 14                    (c)8                       (d) 2

7. 10 meters of cloth cost Rs 1000. What will 4 meters cost?

(a) Rs 100             (b) Rs 800            (c) Rs 200             (d) Rs 400.

8. 72356 is divisible by

a) 5                         b) 3                        c ) only by 2                        d) both by 2 and 4

9. The area of Trapezium having a height of 10 cm, parallel sides 20 cm and 30 cm is

a) 250 Sq. cm      b) 50 Sq. cm        c) 6000 Sq. cm                    d) 60 Sq. cm

10. 6 pipes are required to fill a tank in 1 hour 20minutes. How long will it take if only 5 pipes of the same type are used?

a)60 min.                    b) 84 min.                            c) 96 min.                             d) 72 min.

 

 

 

Section B

 

11. The top view of a cuboid is

a) Rectangle       b) Square            c) Circle                d) Trapezium

12. 2⁰ + 5⁰ is _______

a) 70                      b) 100                    c) 7                         d) 2

13. If 12 men can do a task in 5 days then how many men are required to complete the task in 4 days?

 a) 15 men           b) 10 men           c) 8 men              d) 20 men

14. Product of (x +3) (x- 3) =__________

a) x² + 9                                b) x²-6                   c)  x² + 3                               d) x² – 9

15. The side of a cube whose surface area is 600 cm² is____

(a) 10 cm                              (b) 20 cm                             (c) 60 cm                             (d) 6 cm

16. What are the coordinates of origin?

(a) (0, 0)                               (b) (x, y)                               (c) (1, -1)                             (d) none of these

17. Two cubes with 9 cm edges are joined end to end. Find the length of the newly formed solid.

(a) 18 cm                              (b) 9 cm                               (c) 27 cm                            (d) None of the above

18.  Which of the following is the correct expansion of identity (a-b)²?

a)   a²+b²+2ab                    b) a²+b²-2ab                       c) a²-2ab -b²                       d) None of these

19.  Find Value of (3^-7 ÷ 3^-10) X 3 ^-3  

(a) -1                     (b) 1                       (c) 0                      (d) 3

20.  Add    ab-bc, bc – ca, ca -ab

(a) abc                  (b)2ab+2bc+2ca                                 (c)  0                     (d) 2ab

Section C

21. Write the standard form of 0.000000078                                                                                                 (1 mark)

22. If 31M5 is a 4digit number then which is a multiple of 3 and M is a digit then the value of M?    (1 mark)

23. Which kind of proportion is in the following situation?                                                                             (1 mark)

                ‘The number of workers on a job and the time to complete the job.’

24. Simplify : ( 4x +9y -6z ) + ( 6y -7x +9z) - 2 ( x – y +z) ( 2 marks )

25. If a box of sweets is divided among 24 children each one will get 5 sweets. If the number of children is reduced by 4 how many sweets each one will get? ( 2 marks )

26. The floor of a building consists of 3,000 tiles each shaped like a rhombus having diagonals 45 cm and 30 cm . Find the total cost of polishing the floor if the cost of polishing is Rs 10 per square meter. (3 marks)

 

 

Section D

27. Product of (x +3) (x- 3)                                                                                                                                           (1 mark)

28. Find the height of the cylinder whose volume is 1.54 m³ and the diameter of the base is 140cm. (1 mark)

29. If 21y5 is a multiple of 9, what is the value of y?                                                                                          (1 mark)

30. Factorize (b⁴-16).                                                                                                                                                     (2 marks)

31. Using Euler’s formula find missing values A, B, C, and D( 2 marks )

Faces	A	5	20	18
Vertices	6	B	12	6
Edges	12	9	C	D

 

32. A courier person cycles from a town to a neighboring sub-urban area to deliver a parcel to a merchant. His distance from the town at different times is shown by the following graph. Answer the questions that follow.

                                                                                                                                                                                                (3 marks)

 (a) What is the scale taken for the Distance at the y axis?

(b)How far is the place of the merchant from the town?

(c) Did the person stop on his way? At what duration?

(d)During which period did he ride fastest?