NBSE Class 8 Question Paper 2021 Maths

Total number of printed pages : 3 NB-E/M/I
2021
CLASS-VIII(Phase I)
MATHEMATICS
Total marks : 40 Time : 1½ hours

General Instructions:
i) Approximately 8 minutes is allotted to read the question paper and revise the
answers.
ii) The question paper consists of 13 questions.
iii) All questions are compulsory.
iv) Internal choice has been provided in some questions.
v) Marks allocated to every question are indicated against it.
N.B: Check to ensure that all pages of the question paper is complete as indicated on the top
left side.

Section - A

1. Choose the correct answer from the given alternatives.

7
(a) The additive inverse of  is 1
19
7 19 7 19
(i) (ii) (iii)  (iv) 
19 7 19 7

(b) What is the name of a regular polygon of 6 sides? 1
(i) Square (ii) Equilateral triangle
(iii) Regular hexagon (iv) Regular octagon

(c) The unit digit in the square of 799 is 1
(i) 1 (ii) 7 (iii) 8 (iv) 9

(d) The number of digits in the square root of 27225 is 1
(i) 1 (ii) 2 (iii) 3 (iv) 4

(e) Which of the following is a binomial? 1
(i) xy (ii) x  y (iii) 7  y  5 x (iv) 3x  4 y  z  5

Section – B

2 4
2. Find two rational numbers between and 2
3 5

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8x  3
3. Solve the equation:  2 2
3x

4. In the following figure, find the angle measure x. 2
50
x
130
120
.

 10  6 
5. Find the product:   pq 3    p 3 q  2
 3  5 

Section – C

6. a. The following figure HOPE is a parallelogram. Find the angle measures x, y and z.
E P
x
y

40
z 70
H O
Or 3
b. Two adjacent angles of a parallelogram have equal measure. Find the measure of
each of the angles of the parallelogram.

7. Find x in the following figure. 3

60

70
x

8. Construct the quadrilateral ABCD where AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm,
AD = 6 cm, AC = 7 cm. (Traces of construction only is required.) 3

9. a. Find the least number which must be subtracted from 402 so as to get a
perfect square. Also, find the square root of the perfect square so obtained.
Or 3

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b. There are 500 children in a school. For a P.T. drill, they have to stand in such a
manner that the number of rows is equal to the number of columns. How many
children would be left out in this arrangement?

10. Using a 2  b 2  a  b a  b  , find 12.12  7.9 2 3

Section – D

11. a. A positive number is 5 times another number. If 21 is added to both the numbers,
then one of the new numbers becomes twice the other new number. What are the
numbers?
Or 4
b. The ages of Temjen and Mary are in the ratio 5 : 7. Four years from now, the
ratio of their ages will be 3 : 4. Find their present ages.

12. Draw a pie chart showing the following information. The table shows the colours
preferred by a group of people. 4
Colours Number of people
Blue 18
Green 9
Red 6
Yellow 3
Total : 36

13. The shoppers who come to a departmental store are marked as : man (M), woman
(W), boy (B) or girl (G). The following list gives the shoppers who came during the
first hour in the morning:

WWWGBWWMGGMMWWWWGBMWBGGMWWMMWW
WMWBWGMWWWWGWMMWWMWGWMGWMMBGGW
Make a frequency distribution table using tally marks. Draw a bar graph to illustrate
it. 4

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