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(1/2) 
MATHEMATICS 
 Class VIII 
General Instructions: 
• The question paper is divided into four sections. 
 Section A comprises of 5 questions of 1 mark each. 
 Section B comprises of 5 questions of 3 marks each. 
 Section C comprises of 10 questions of 5 marks each. 
 Section D comprises of 5 questions of 6 marks each. 
• Draw neat diagrams wherever needed. 
• All questions are compulsory to attempt. 
• Show all calculations in fair. 
SECTION – A 
Q.1 
The additive inverse of 
7
2
-
is ________. 
Q.2 
If 
7
17
7
3
= + x , then x = ________. 
Q.3 Solve 17 + 6p  = 9. 
Q.4 How many diagonals does a regular hexagon have ? 
Q.5 Find the ratio of 5mm to 50m. 
SECTION – B 
Q.6 Simplify 15 (y – 4) + 2(y – 9) + 5 (y + 6) = 0. 
Q.7 HELP is a parallelogram (lengths are in cms) given that OE is 4 and HL is 5 more than PE, 
find OH.             P    L 
          O 
         4 
 
           H            E 
Q.8 State whether true or false. 
a) All parallelograms are trapeziums. 
b) All rectangles are squares. 
c) All kites are rhombuses. 
Q.9 Express 121 as the sum of 11 odd numbers. 
Q.10 Find the square root of 12.25 
SECTION – C 
Q.11 
Using appropriate properties, find : 
6
1
5
3
2
5
5
3
3
2
× - + ×
-
 
Q.12 
Find five rational numbers between 
2
3 -
and 
3
5
. 
Page 2


(1/2) 
MATHEMATICS 
 Class VIII 
General Instructions: 
• The question paper is divided into four sections. 
 Section A comprises of 5 questions of 1 mark each. 
 Section B comprises of 5 questions of 3 marks each. 
 Section C comprises of 10 questions of 5 marks each. 
 Section D comprises of 5 questions of 6 marks each. 
• Draw neat diagrams wherever needed. 
• All questions are compulsory to attempt. 
• Show all calculations in fair. 
SECTION – A 
Q.1 
The additive inverse of 
7
2
-
is ________. 
Q.2 
If 
7
17
7
3
= + x , then x = ________. 
Q.3 Solve 17 + 6p  = 9. 
Q.4 How many diagonals does a regular hexagon have ? 
Q.5 Find the ratio of 5mm to 50m. 
SECTION – B 
Q.6 Simplify 15 (y – 4) + 2(y – 9) + 5 (y + 6) = 0. 
Q.7 HELP is a parallelogram (lengths are in cms) given that OE is 4 and HL is 5 more than PE, 
find OH.             P    L 
          O 
         4 
 
           H            E 
Q.8 State whether true or false. 
a) All parallelograms are trapeziums. 
b) All rectangles are squares. 
c) All kites are rhombuses. 
Q.9 Express 121 as the sum of 11 odd numbers. 
Q.10 Find the square root of 12.25 
SECTION – C 
Q.11 
Using appropriate properties, find : 
6
1
5
3
2
5
5
3
3
2
× - + ×
-
 
Q.12 
Find five rational numbers between 
2
3 -
and 
3
5
. 
(2/2) 
Q.13 
The perimeter of a rectangle is 13cm and its width is 2
4
3
cm. Find its length. 
Q.14 The digits of a two digit number differ by 3. If the digits are interchanged and the resulting 
number is added to the original number, we get 143. What can be the original number? 
Q.15 Three consecutive integers are such that when they are taken in increasing order and 
multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers. 
Q.16 Find the values of the unknowns in the following figures : 
 
         Parallelogram
 
Q.17 i) RENT is a rectangle. Its diagonals meet at O. Find x, if OR=2x+4 and OT=3x+1. 
 
ii) Find the number of sides of a regular polygon whose each exterior angle has a  measure 
 of 45
0
? 
Q.18 Construct a rectangle WISE in which WI = 7cm , IS = 5cm. 
Q.19 Find the cube root of  i)  8000 ii)  13824 
Q.20 Find the smallest number by which each of the following numbers must be multiplied to 
obtain a perfect cube.         i)  100  ii)  675 
SECTION – D 
Q.21 Find compound interest paid when a sum of Rs. 10,000 is invested for 1 year and 3 months at 
8
2
1
% per annum compounded annually. 
Q.22 Construct a rhombus whose diagonals are 5.2 cm and 6.4 cm long. Write steps of 
construction. 
Q.23 Rajeev bought an article for Rs. 15,500. Rs. 450 was spent on its repairs. He sold the article 
to Raghav for a profit of 15%. Raghav gave Rs. 19,342.50 to Rajeev. Rajeev said “It is not 
the correct amount” and returned him the balance. Find the correct amount. What value is 
depicted by Rajeev? 
Q.24 i) Find the square root of 1024 by division method. 
ii) Find the least number which must be added to 252 to get a perfect square. Also 
 find the square root of the perfect square so obtained. 
Q.25 Construct a quadrilateral PLAN in which PL=4cm, LA=6.5cm, ?P=90
0
, ?A=110
0
, ?N=85
0
 
 
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FAQs on Class 8 Math: Sample Question Paper - 2 - Mathematics (Maths) Class 8

1. What is the importance of sample question papers in Class 8 Math?
Ans. Sample question papers in Class 8 Math are important as they help students understand the exam pattern, time management, and the types of questions that can be expected in the actual exam. They also provide a platform for students to practice and assess their knowledge and skills before the final examination.
2. How can solving sample question papers help in improving math skills?
Ans. Solving sample question papers can help in improving math skills as it provides a practical and hands-on approach to learning. By solving these papers, students can reinforce their understanding of concepts, identify their strengths and weaknesses, and work on areas that require improvement. It also helps in building confidence and developing problem-solving abilities.
3. Are the sample question papers for Class 8 Math similar to the actual exam?
Ans. While the sample question papers for Class 8 Math may not be an exact replica of the actual exam, they are designed to be similar in terms of the difficulty level and the types of questions asked. These papers are prepared by subject experts and are based on the prescribed syllabus, ensuring that students get a fair idea of what to expect in the actual exam.
4. How can one effectively utilize sample question papers for Class 8 Math preparation?
Ans. To effectively utilize sample question papers for Class 8 Math preparation, students should first familiarize themselves with the exam pattern and syllabus. They should then solve these papers under timed conditions to simulate the actual exam environment. After solving, students should evaluate their performance, identify mistakes, and work on those areas. It is also beneficial to seek guidance from teachers or mentors for any doubts or clarifications.
5. Where can I find sample question papers for Class 8 Math?
Ans. Sample question papers for Class 8 Math can be found in various sources such as textbooks, online educational platforms, official educational websites, and guidebooks. Students can also ask their teachers or school authorities for these papers. Additionally, several online platforms offer free or paid access to a wide range of sample question papers specifically designed for Class 8 Math.
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