Class 8 Question Paper 2024-25 Maths (Half Yearly)

HALF YEARLY EXAM

QUESTION
PAPER
ORIGINAL EXAM PAPERS

HALF YEARLY EXAMINATION, 2024-
2024-25
MATHEMATICS
Time – 3:00 Hrs. Class – VIII M.M. : 80
Date – 13.09.2024 (Friday)
Name of the student _______________________________________________Section _____
GENERAL INSTRUCTIONS
• This question paper is divided into four sections A, B, C and D.
• SECTION A consists of 20 questions (MCQ, fill in the blanks and match the pairs)
of 1 mark each. Attempt all questions.
• SECTION B consists of 5 questions of 2 marks each. Attempt all questions.
• SECTION C consists of 7 questions of 4 marks each. Attempt any five questions.
• SECTION D consists of 8 questions of 5 marks each. Attempt any six questions.
• Show the required calculations in fair.

SECTION A (Attempt all questions)
Q1. Choose the correct answer.
i) Which of the following is not a perfect square number?
a) 4 b) 81 c) 163 d) 25
ii) The cube of an odd number is always
a) even b) odd c) prime number d) None of these
iii) Each prime factor appears _________ times in a perfect cube.
a) 1 b) 2 c) 3 d) 4
iv) Which statement is true:
a) all quadrilaterals are rectangles b) all rectangles are quadrilaterals.
c) all rectangles are squares d) all quadrilaterals are squares
v) The quadrilateral which has only one pair of parallel sides is
a) kite b) trapezium c) rectangle d) rhombus
vi) 3³+3³ =
a) 3⁹ b) 6³ c) 9³ d) none of these
vii) The number of digits in the square root of 62500 is
a) 1 b) 2 c) 3 d) 4
viii) The standard form of 5380000 is
a) 5.38 × 10 b) 0.538 × 10 c) 5.38 × 10 d) 0.538 × 10
ix) Which of the following is not a rational number?
 
a) b) c) d)
 

HALF YEARLY EXAM | MATHEMATICS | CLASS 8 | 2024-25 | PRINTED Q 23 PRINTED PAGES 3 | PAGE# 1

x) In the equation 3p = 4 – p, transposing (–p)
( to LHS we get –
(a) 3p – p = 4 (b) 3p + p = 4 (c) – 3p + p = 4 (d) – 3p – p = 4
Q2. Fill in the blanks:
a) Cube of 9 is _ _ _ _ _
b) If 7y = 28, then the value of y is _ _ _
c) The additive inverse of ( 5) is _ _ _
d) Rational numbers are not closed under _ _ _ _
e) Sum of all the exterior angles of any polygon is _ _ _ _
f) The ones digit of square of 5628 is _ _ _
Q3. Match the following:

i)AD = BC a) diagonals of a parallelogram bisect each other

ii) ∠  ∠ b)opposite sides of a parallelogram are equal

iii) OC=OA c)adjacent angles of a parallelogram are
supplementary

iv) m∠  ∠  180° d)opposite angles of a parallelogram are equal

SECTION B (Attempt all questions)
   
Q4. Find using distributivity.   
 +   

   
Q5. Solve 2x – 3 = x + 2
Q6. Find the measure of each exterior angle of a regular polygon of 24 sides
sides.
Q7. How many numbers lie between squares of 25 and 26?
   
  
Q8. Find the value of 
+ 
+ 

 

SECTION C (Attempt any five questions)

  

Q9 Find   
  
Q10 Solve the given equation 
+ 1 = 
+ 3
 
Q11 Find a Pythagorean triplet in which one member is 16.

Q12 HOPE is a parallelogram. Find the measures of x, y and z.

Q13 Find the smallest square number that is exactly divisible by each of the numbers 4, 9 and
10.
Q14 Find the smallest number by which 2376 must be divided so that the quotient is a
perfect cube.
Q15 In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of
thickness 0.016 mm. What is the total thickness of the stack?
SECTION D ((Attempt any six questions)
Q16 Mass of earth is 5.97 × 10
kg and mass of moon is 7.35 × 10 kg. What is the total
mass?
Q17 Solve using suitable properties
2 3 1 3 3
 
5 7 14 5 7
Q18 Simplify and solve the given linear equation.
3(5z – 7) – 2(9z – 11) = 4(8z – 13) – 17
Q19 RISK and CLUE are parallelograms. Find the value of x.

Q20 Find the least number that must be subtracted from 5607 so as to get a perfect square.
Also find the square root of the perfect square.
Q21 Find the cube root of 110592 by prime factorisation method.

3−5 × 10 −5 × 125
Q22 Simplify
5 − 7 × 6 −5
Q23 Find the smallest number by which 68600 must be multiplied to obtain a perfect cube.

Study Materials
Notes

Model Papers Class 6 Notes

Sample Papers Class 7 Notes
Half Yearly Sample Papers Class 8 Notes

Class 9 Notes
Important Resources
Class 10 Notes
Periodic Table
Class 11 Notes
Writing Skills / Formats

Maps of India / World Class 12 Notes

Books and Solutions

NCERT Books
NCERT Book Solutions
HC Verma Chapter Wise Solutions
RD Sharma Solutions
CGBSE Solutions