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 Page 1


                                                 
 
Page 1 of 4 
 
 
MATHEMATICS  
CLASS 8 
                                                                           
Instructions: 
1. This paper consists of four sections. 
2. Section A has 15 Multiple Choice Questions and each carries 1 mark. 
3. Section B has 11 questions, each question carries 2 marks. 
4. Section C has 11 questions, each question carries 3 marks. 
5. Section D has 5 questions, each question carries 4 marks. 
6. Use of calculators in not permitted. 
 
SECTION – A 
 ( Multiple choice questions  i  to xv carry 1 mark each) 
 
I.  Each question has four options; write the correct option in the answer book.                            
 
i. If C.P of 4 articles is the S.P of 5 articles, then in this transaction there is: 
a)  a loss b) a gain          c) no loss no gain   d) none of these 
 
ii. When 12x + 10 y is subtracted from –13x + 7y we get  
a) 25x + 3y         b) –25x – 3y  c) –25x + 3y  d) 25x – 3y 
 
iii. Euler’s Formula F + V =  
a) E + 2  b) E – 2             c) E × 2   d) 
2
E
 
iv. Area of trapezium of whose parallel sides are of lengths a cm and b cm with a 
distance d cm between them is given by   
a)  (a + b) × d  b) 
2
1
 (a + b) × d        c) 2 (a + b) × d     d) none of these 
 
v. a
0
  + b
0  
+ c
0
 + 3 =  
a) 0                       b) 6                                    c) 1                   d) 3 
 
vi. If n is an odd positive integer, then (–1)
n
 = 
a) 1                     b) 0                               c) –1                    d) none of these 
 
vii. If 8 books cost Rs 60, then 6 books will cost  
a) Rs 42  b) Rs 45                   c) Rs 50              d) Rs 56 
 
viii. If 10 men can reap a field in 10 days, then 20 men will reap the same field in  
a) 5 days                 b) 10 days                c) 15 days          d) 20 days 
 
Page 2


                                                 
 
Page 1 of 4 
 
 
MATHEMATICS  
CLASS 8 
                                                                           
Instructions: 
1. This paper consists of four sections. 
2. Section A has 15 Multiple Choice Questions and each carries 1 mark. 
3. Section B has 11 questions, each question carries 2 marks. 
4. Section C has 11 questions, each question carries 3 marks. 
5. Section D has 5 questions, each question carries 4 marks. 
6. Use of calculators in not permitted. 
 
SECTION – A 
 ( Multiple choice questions  i  to xv carry 1 mark each) 
 
I.  Each question has four options; write the correct option in the answer book.                            
 
i. If C.P of 4 articles is the S.P of 5 articles, then in this transaction there is: 
a)  a loss b) a gain          c) no loss no gain   d) none of these 
 
ii. When 12x + 10 y is subtracted from –13x + 7y we get  
a) 25x + 3y         b) –25x – 3y  c) –25x + 3y  d) 25x – 3y 
 
iii. Euler’s Formula F + V =  
a) E + 2  b) E – 2             c) E × 2   d) 
2
E
 
iv. Area of trapezium of whose parallel sides are of lengths a cm and b cm with a 
distance d cm between them is given by   
a)  (a + b) × d  b) 
2
1
 (a + b) × d        c) 2 (a + b) × d     d) none of these 
 
v. a
0
  + b
0  
+ c
0
 + 3 =  
a) 0                       b) 6                                    c) 1                   d) 3 
 
vi. If n is an odd positive integer, then (–1)
n
 = 
a) 1                     b) 0                               c) –1                    d) none of these 
 
vii. If 8 books cost Rs 60, then 6 books will cost  
a) Rs 42  b) Rs 45                   c) Rs 50              d) Rs 56 
 
viii. If 10 men can reap a field in 10 days, then 20 men will reap the same field in  
a) 5 days                 b) 10 days                c) 15 days          d) 20 days 
 
                                                    Total number of printed pages: 4 
 
Page 2 of 4 
 
 
ix. The value of 81xy ÷ 3xy is 
          a) 3xy                      b)    27xy                  c)    3                    d) 27 
 
x. The x – co-ordinate of a point which lies on the y – axis is 
a)      1                    b) 0                           c) –1                    d) none of these 
 
xi. The product of the coefficients of x in –5 xyz and 2xy is 
a) –10x   b) –10y
2
z  c) –10x
2
y
2
z  d) –10z 
 
xii. The number of faces a square prism has 
a) 4   b) 8   c) 6   d) 12  
 
xiii. The volume of cube whose side is 20 x is 
a) 80x   b) 800x
2
  c) 8000x
3
  d) 800x
3
 
 
xiv. The value of (2x + 5) (2x – 5) when x = 4 is  
a) 16   b) 39   c) 13   d) 5  
 
xv. 1 litre = _________ cm
3
 
a) 1000  b) 100   c) 10000  d) 10 
 
SECTION –B 
(Questions 2 to 12 carry 2 marks each) 
 
2. After selling a sweater for Rs. 600 Kavita suffered a loss of 20 %. Find the cost 
price of the sweater. 
3. Sudhir saves 15% of his income. If he saves Rs.330 per month, find his 
income. 
4. Simplify:   ab – bc  +   bc – ca + ca – ab. 
5. Find the area of rectangle whose length is xy, breadth is 3y. 
6. If a polyhedron has six faces and eight vertices, find the number of edges. 
7. The surface area of a cube is 600 cm
2
. Find its volume. 
8. Express in standard form: a) 432000000  b) 0.00000058 
9. Complete the table below by finding the values of a, b where x and y are in 
direct proportion. 
 
 x 60 72 b 
y 300 a 150 
Page 3


                                                 
 
Page 1 of 4 
 
 
MATHEMATICS  
CLASS 8 
                                                                           
Instructions: 
1. This paper consists of four sections. 
2. Section A has 15 Multiple Choice Questions and each carries 1 mark. 
3. Section B has 11 questions, each question carries 2 marks. 
4. Section C has 11 questions, each question carries 3 marks. 
5. Section D has 5 questions, each question carries 4 marks. 
6. Use of calculators in not permitted. 
 
SECTION – A 
 ( Multiple choice questions  i  to xv carry 1 mark each) 
 
I.  Each question has four options; write the correct option in the answer book.                            
 
i. If C.P of 4 articles is the S.P of 5 articles, then in this transaction there is: 
a)  a loss b) a gain          c) no loss no gain   d) none of these 
 
ii. When 12x + 10 y is subtracted from –13x + 7y we get  
a) 25x + 3y         b) –25x – 3y  c) –25x + 3y  d) 25x – 3y 
 
iii. Euler’s Formula F + V =  
a) E + 2  b) E – 2             c) E × 2   d) 
2
E
 
iv. Area of trapezium of whose parallel sides are of lengths a cm and b cm with a 
distance d cm between them is given by   
a)  (a + b) × d  b) 
2
1
 (a + b) × d        c) 2 (a + b) × d     d) none of these 
 
v. a
0
  + b
0  
+ c
0
 + 3 =  
a) 0                       b) 6                                    c) 1                   d) 3 
 
vi. If n is an odd positive integer, then (–1)
n
 = 
a) 1                     b) 0                               c) –1                    d) none of these 
 
vii. If 8 books cost Rs 60, then 6 books will cost  
a) Rs 42  b) Rs 45                   c) Rs 50              d) Rs 56 
 
viii. If 10 men can reap a field in 10 days, then 20 men will reap the same field in  
a) 5 days                 b) 10 days                c) 15 days          d) 20 days 
 
                                                    Total number of printed pages: 4 
 
Page 2 of 4 
 
 
ix. The value of 81xy ÷ 3xy is 
          a) 3xy                      b)    27xy                  c)    3                    d) 27 
 
x. The x – co-ordinate of a point which lies on the y – axis is 
a)      1                    b) 0                           c) –1                    d) none of these 
 
xi. The product of the coefficients of x in –5 xyz and 2xy is 
a) –10x   b) –10y
2
z  c) –10x
2
y
2
z  d) –10z 
 
xii. The number of faces a square prism has 
a) 4   b) 8   c) 6   d) 12  
 
xiii. The volume of cube whose side is 20 x is 
a) 80x   b) 800x
2
  c) 8000x
3
  d) 800x
3
 
 
xiv. The value of (2x + 5) (2x – 5) when x = 4 is  
a) 16   b) 39   c) 13   d) 5  
 
xv. 1 litre = _________ cm
3
 
a) 1000  b) 100   c) 10000  d) 10 
 
SECTION –B 
(Questions 2 to 12 carry 2 marks each) 
 
2. After selling a sweater for Rs. 600 Kavita suffered a loss of 20 %. Find the cost 
price of the sweater. 
3. Sudhir saves 15% of his income. If he saves Rs.330 per month, find his 
income. 
4. Simplify:   ab – bc  +   bc – ca + ca – ab. 
5. Find the area of rectangle whose length is xy, breadth is 3y. 
6. If a polyhedron has six faces and eight vertices, find the number of edges. 
7. The surface area of a cube is 600 cm
2
. Find its volume. 
8. Express in standard form: a) 432000000  b) 0.00000058 
9. Complete the table below by finding the values of a, b where x and y are in 
direct proportion. 
 
 x 60 72 b 
y 300 a 150 
                                                      Total number of printed pages: 4 
 
Page 3 of 4 
 
 
10. Factorize: 2xy  +  3  +  2y  +  3x. 
11. Write the abscissa of the following points. 
         (7, 5), (–2, –4), (–1, 0), (0, 7) 
 
12. State whether true or false. 
a) A point whose x-coordinate is zero and y-coordinate is non-zero will lie on 
the y-axis. 
b) A point whose y-coordinate is zero and x-coordinate is 5 will lie on y-axis. 
c) The coordinates of the origin are (0,0). 
d) A line graph which is a whole unbroken line is called a linear graph. 
 
SECTION- C 
(Questions 13 to 23 carry 2 marks each) 
 
13. Rahul purchased a computer set for Rs.16800. He had to spend Rs.1200 on its 
repairs and sold it for Rs.19200. Find his gain and gain percent. 
14. Find the squares of 97 and 34 using identities. 
15. Find the product of (5x + 9y) and (6x + 3y). 
16. How many faces does each of the following solid figures have? 
a) Cone           b) Regular Octahedron         c) Square Prism 
17. The ratio of lengths of parallel sides of a trapezium is 5:3 and the distance 
between them is 16 cm. If the area of the trapezium is 960 cm
2
, find the lengths 
of parallel sides.  
18. Simplify : 
32
27
4
3
2
×
?
?
?
?
?
?
-
. 
19. 12 men can do a piece of work in 72 days. How many men will be required to 
do the same work in 54 days? 
20. Divide 2x
2
  + 11x + 5 by 2x + 1. 
21. Factorize: x
4 
– 1. 
22. Plot the following points on a graph paper 
A (7, –1)      B(–5, –9)      C(8, 3)        D (0, 6)       E (–6, –3)     F(–5, 0) 
 
23. A train is moving at a uniform speed of 75 km/hour.  
i) How far will it travel in 20 minutes? 
ii) Find the time taken to cover a distance of 250 km. 
Page 4


                                                 
 
Page 1 of 4 
 
 
MATHEMATICS  
CLASS 8 
                                                                           
Instructions: 
1. This paper consists of four sections. 
2. Section A has 15 Multiple Choice Questions and each carries 1 mark. 
3. Section B has 11 questions, each question carries 2 marks. 
4. Section C has 11 questions, each question carries 3 marks. 
5. Section D has 5 questions, each question carries 4 marks. 
6. Use of calculators in not permitted. 
 
SECTION – A 
 ( Multiple choice questions  i  to xv carry 1 mark each) 
 
I.  Each question has four options; write the correct option in the answer book.                            
 
i. If C.P of 4 articles is the S.P of 5 articles, then in this transaction there is: 
a)  a loss b) a gain          c) no loss no gain   d) none of these 
 
ii. When 12x + 10 y is subtracted from –13x + 7y we get  
a) 25x + 3y         b) –25x – 3y  c) –25x + 3y  d) 25x – 3y 
 
iii. Euler’s Formula F + V =  
a) E + 2  b) E – 2             c) E × 2   d) 
2
E
 
iv. Area of trapezium of whose parallel sides are of lengths a cm and b cm with a 
distance d cm between them is given by   
a)  (a + b) × d  b) 
2
1
 (a + b) × d        c) 2 (a + b) × d     d) none of these 
 
v. a
0
  + b
0  
+ c
0
 + 3 =  
a) 0                       b) 6                                    c) 1                   d) 3 
 
vi. If n is an odd positive integer, then (–1)
n
 = 
a) 1                     b) 0                               c) –1                    d) none of these 
 
vii. If 8 books cost Rs 60, then 6 books will cost  
a) Rs 42  b) Rs 45                   c) Rs 50              d) Rs 56 
 
viii. If 10 men can reap a field in 10 days, then 20 men will reap the same field in  
a) 5 days                 b) 10 days                c) 15 days          d) 20 days 
 
                                                    Total number of printed pages: 4 
 
Page 2 of 4 
 
 
ix. The value of 81xy ÷ 3xy is 
          a) 3xy                      b)    27xy                  c)    3                    d) 27 
 
x. The x – co-ordinate of a point which lies on the y – axis is 
a)      1                    b) 0                           c) –1                    d) none of these 
 
xi. The product of the coefficients of x in –5 xyz and 2xy is 
a) –10x   b) –10y
2
z  c) –10x
2
y
2
z  d) –10z 
 
xii. The number of faces a square prism has 
a) 4   b) 8   c) 6   d) 12  
 
xiii. The volume of cube whose side is 20 x is 
a) 80x   b) 800x
2
  c) 8000x
3
  d) 800x
3
 
 
xiv. The value of (2x + 5) (2x – 5) when x = 4 is  
a) 16   b) 39   c) 13   d) 5  
 
xv. 1 litre = _________ cm
3
 
a) 1000  b) 100   c) 10000  d) 10 
 
SECTION –B 
(Questions 2 to 12 carry 2 marks each) 
 
2. After selling a sweater for Rs. 600 Kavita suffered a loss of 20 %. Find the cost 
price of the sweater. 
3. Sudhir saves 15% of his income. If he saves Rs.330 per month, find his 
income. 
4. Simplify:   ab – bc  +   bc – ca + ca – ab. 
5. Find the area of rectangle whose length is xy, breadth is 3y. 
6. If a polyhedron has six faces and eight vertices, find the number of edges. 
7. The surface area of a cube is 600 cm
2
. Find its volume. 
8. Express in standard form: a) 432000000  b) 0.00000058 
9. Complete the table below by finding the values of a, b where x and y are in 
direct proportion. 
 
 x 60 72 b 
y 300 a 150 
                                                      Total number of printed pages: 4 
 
Page 3 of 4 
 
 
10. Factorize: 2xy  +  3  +  2y  +  3x. 
11. Write the abscissa of the following points. 
         (7, 5), (–2, –4), (–1, 0), (0, 7) 
 
12. State whether true or false. 
a) A point whose x-coordinate is zero and y-coordinate is non-zero will lie on 
the y-axis. 
b) A point whose y-coordinate is zero and x-coordinate is 5 will lie on y-axis. 
c) The coordinates of the origin are (0,0). 
d) A line graph which is a whole unbroken line is called a linear graph. 
 
SECTION- C 
(Questions 13 to 23 carry 2 marks each) 
 
13. Rahul purchased a computer set for Rs.16800. He had to spend Rs.1200 on its 
repairs and sold it for Rs.19200. Find his gain and gain percent. 
14. Find the squares of 97 and 34 using identities. 
15. Find the product of (5x + 9y) and (6x + 3y). 
16. How many faces does each of the following solid figures have? 
a) Cone           b) Regular Octahedron         c) Square Prism 
17. The ratio of lengths of parallel sides of a trapezium is 5:3 and the distance 
between them is 16 cm. If the area of the trapezium is 960 cm
2
, find the lengths 
of parallel sides.  
18. Simplify : 
32
27
4
3
2
×
?
?
?
?
?
?
-
. 
19. 12 men can do a piece of work in 72 days. How many men will be required to 
do the same work in 54 days? 
20. Divide 2x
2
  + 11x + 5 by 2x + 1. 
21. Factorize: x
4 
– 1. 
22. Plot the following points on a graph paper 
A (7, –1)      B(–5, –9)      C(8, 3)        D (0, 6)       E (–6, –3)     F(–5, 0) 
 
23. A train is moving at a uniform speed of 75 km/hour.  
i) How far will it travel in 20 minutes? 
ii) Find the time taken to cover a distance of 250 km. 
                                                       Total number of printed pages: 4 
 
Page 4 of 4 
 
 
SECTION - D 
(Questions 24 to 28 carry 4 marks each) 
 
24. How many bricks will be required to build a wall 8m long, 6m high and 22.5 cm 
thick, if each brick measures 25cm by 11.25cm by 6 cm? 
25. If ( 3
2x +1
 +  9 ) ÷ 9 = 10, find the value of x. 
26. A man can buy 24 kg of sugar for Rs 264. After six months he could buy only            
22 kg of sugar with the same amount. What is the increase in the price of 
sugar? 
27. Draw the graph for the following. 
 
Side of square (in cm)  2 3 4 5 6 
Area ( in cm
2
) 4 9 16 25 36 
 
28. Divide 12xy ( 9x
2
 
–16y
2
 ) by 4xy ( 3x + 4y) 
 
 
******** 
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FAQs on Class 8 Math: Sample Question Paper - 10 - Mathematics (Maths) Class 8

1. How can I download the sample question paper for Class 8 Math?
Ans. To download the sample question paper for Class 8 Math, you can visit the official website of your school or educational board. They usually provide sample papers for various subjects, including Math, which can be downloaded in PDF format from their website.
2. What is the importance of solving sample question papers for Class 8 Math?
Ans. Solving sample question papers for Class 8 Math is important as it helps students become familiar with the exam pattern and question types. It also allows them to practice solving problems within a time limit, which improves their speed and accuracy. Additionally, solving sample papers helps students identify their weak areas and focus on them for improvement.
3. Are the questions in the Class 8 Math sample question paper similar to the actual exam?
Ans. The questions in the Class 8 Math sample question paper are designed to be similar to the actual exam. They cover all the important topics and concepts that students are expected to know. However, the specific questions may vary from the sample paper to the actual exam, ensuring that students are well-prepared for any type of question that may be asked.
4. How should I use the Class 8 Math sample question paper for effective preparation?
Ans. To make the most of the Class 8 Math sample question paper, you should treat it as a mock exam. Set a timer and solve the paper within the given time limit. After completing the paper, evaluate your performance and identify the areas where you made mistakes or faced difficulties. Work on those areas by revisiting the related concepts and practicing similar problems. This approach will help you improve your understanding and performance in Math.
5. Can solving the Class 8 Math sample question paper guarantee a good score in the actual exam?
Ans. Solving the Class 8 Math sample question paper can certainly enhance your preparation and increase your chances of scoring well in the actual exam. However, it is important to note that the sample paper is just one of the many resources available for practice. To ensure a good score, you should also focus on understanding the concepts, practicing regularly, and seeking guidance from your teachers whenever needed.
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