Class 8 Question Paper 2024-25 Maths (Mid Term)

MID-TERM EXAMINATION

Question Paper
2024-25
NCERT BASED SYLLABUS

FOR CBSE AND STATE BOARD
FOLLOWING NCERT

Mid Term Exam Question Paper 2024-25

MID-TERM EXAMINATION
SESSION: 2024-2025
SUBJECT: MATHEMATICS
CLASS – VIII
Time Allowed: 3 Hrs 15 Mins Max. Marks: 80
General Instructions:
(i) First 15 minutes are allowed only for reading the question paper. Students must NOT start
writing during this time.
(ii) This question paper consists of 40 questions divided into four sections A,B,C,D and E.
(iii) Section A contains of twenty questions of 1 marks each, section B contains six questions
of 2 marks each, section C contains eight questions of 3 marks each, section D contains four
questions of 4 marks each and section E contains two questions of 4 marks each.
(iv) This question paper consists of 4 printed pages.
Group-A ( Multiple Choice Questions ) 1 X 20 = 20
1. What is the additive inverse of 0? (a) 1 (b) -1 (c) 0 (d) -10
2. Name the property represented by x × ( y+z ) = xy + xz
(a) Commutative property (b) Associative property
(c) Distributive property (d) Closure property
3. Which number has no multiplicative inverse? (a) 1 (b) 0 (c) -1 (d) 10
4. What is the value of 2⁰+3⁰+4⁰? (a) 3 (b) 2 (c) 1 (d) 4
5. If 82𝑥 = 64 then x equals to (a) 4 (b) 3 (c) 2 (d) 1
6. What is the value of [{(2)−2 }−1 ]2 ? ( a) 2 (b) 4 (c) 16 (d) 8
7. Which of the following is a perfect square? (a) 196 (b) 197 (c) 198 (d) 200
8. Area of a square is 64 cm², then its side is (a) 4 cm (b) 8 cm (c) 9 cm (d) 6 cm
9. Side of a cube is 6 cm, then it's volume is (a) 36 cm³ (b) 216 cm³ (c) 1296 cm³ (d) 6 cm³

10. Factors of x²-y² are (a) (x+y)(x-y) (b) x(x+y) (c) y(x-y) (d) x²+y²
11. What should be added to x²+6x+8 to make it a perfect square? (a) 1 (b) 2 (c) 3 (d) 4
12. What is the HCF of 3x²y³and 9x³y²? (a) 3x²y² (b) 9x³y³ (c) 3x³y³ (d) 9x²y²

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13. How many solutions do we get for a linear equation? (a) 3 (b) 2 (c) 1 (d) 0
14. " Twice of x increased by 7 gives 23 " can be written as
(a) 2x-7=23 (b) 2x+7=23 (c) 2x×7=23 (d) none of these
𝑥+1
15. If = 2, then x = (a) 3 (b) 2 (c) 1 (d) 0
𝑥−1

16. If a and b are directly proportional, then
(a) a÷b = constant (b) ab = constant (c) a+b = constant (d) a²+b² = constant
17. What is the equivalent discount of the successive discounts d1% and d2% in %?
𝑑1+𝑑2
(a) d1+d2 (b) d1-d2 (c) d1+d2 - (d) d1²+d2²
100

18. What is the profit percentage when SP = Rs. 1250 and CP = Rs. 1000?
(a) 10% (b) 25% (c) 20% (d) 50%
19. Price of a rope of length 10 m is Rs. 125. What is the price of the rope of length 40 m in
(a) Rs. 400 (b) Rs. 1000 (c) Rs. 500 (d) Rs. 600
20. By what number should we divide 1125 to make it a perfect cube? (a) 3 (b) 3² (c) 2 (d) 2²
Group-B ( Very Short Answer Questions ) 2 X 6 = 12
−3 5
21. Divide the sum of and by their product.
4 6
2 6
22. Simplify: ( )−4 ÷ ( )−2
3 4

23. By what number should we multiply 1100 to make it a perfect square?
24. Factorize: x²-4x-77
OR
Factorize: y²+ay+by+ab
1
25. Solve : 2(x-3) + (2x-5) = 3
3

26. A person earns Rs. 7560 in a month. How much will he earn in 16 days?
OR
20 people can complete a work in 60 days. If the same work is to be completed in 50
days, how many more people will be required?
Group-C ( Short Answer Questions ) 3 X 8 = 24

3 1
27. A bag full of rice weighs 25 kg. If the weight of bag is 1 kg, what is the weight of the
4 2
rice?
49×𝑧 −3
28. Simplify:
7−3 ×10×𝑧 −5

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29. Find √3 upto 2 decimal places
30. Factorize : 4x²-12xy+9y²-64
OR
Factorize: 2a²-17a-30
31. Perimeter of a rectangular swimming pool is 180 m. The length is two times of its
breadth. Find the length and breadth of the pool.
32. Ravi can type 45 words per minute and he completes typing a letter in 20 minutes. His
boss asks him to complete the job in 15 minutes. What should be his typing speed?
33. The increase in population of a town is 10% every year. If the present population is
1,00,000 , what will be the population after two years?
OR
A man bought a car for Rs. 5,60,000. The value of the car depreciates every year at a rate of
20%. What will the price of the car after 2 years?
34. What is the absolute value of a rational number? Give examples.
OR
Explain additive and multiplicative inverses of rational numbers.
Group-D ( Long Answer Questions ) 4 X 4 = 16
3 3 3 5 5 5
35. Find x+y : ( )𝑥 × ( )−3 = ( )9 and ( )−5 × ( )−4 = ( )3𝑦
4 4 4 4 4 4

OR
3−5 ×10−5 ×125
Evaluate :
5−6 ×6−5
36. Consider the number 4400 and answer the following questions
(i) What minimum number should be added to make it a perfect square?
(ii) What minimum number should be subtracted to make it a perfect square?
(iii) What minimum number should be multiplied to make it a perfect square?
(iv) What minimum number should be divided to make it a perfect square?
37. Answer the following questions:
(i) If x-y = 7 and xy = 9 , find x²+y²

1 1
(ii) If 𝑥 − = 3, find 𝑥 2 + 2
𝑥 𝑥

OR
1 1
If 𝑥 + = 3 , find 𝑥 4 + 4
𝑥 𝑥

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38. A man sells an article at a loss of 10%. If he had bought it at 20% less and sold it for Rs.
44 more, he would have gained 40%. Find the cost price of the article.
Group-E ( Case Study ) 4X2=8
39. Case Study : Aditya who is working in a multinational company earns ₹150,000 per
1 1 1
month. Out of his earnings he spend th on food items, th on shopping with family, th of
10 4 5
remaining on education of his two kids and rest of his money he puts in his savings.
(i) How much money does he spend on food items?
(a) ₹15000 (b) ₹1500 (c) ₹1050 (d) ₹10500
(ii) How much money does he spend on shopping?
(a) ₹32000 (b) ₹37500 (c) ₹25000 (d) ₹27500
(iii) How much money was left with him after spending on food and shopping?
(a) ₹90000 (b) ₹95000 (c) ₹98500 (d) ₹97500
(iv) Calculate the amount spent by Aditya on education of children?
OR
How much money is saved after all expenditures?
40. Case Study :In a class science teacher give some information to all students about Solar
system in following manner.
Distance of earth from sun = 149600000 km
Mass of earth = 5970000000000000000000000 kg
Mass of Mars = 642000000000000000000000000000 kg
Mass of sun = 1990000000000000000000000000000 kg
Mass of moon = 73500000000000000000000 kg
(i) Write distance of earth from sun in standard form?
(a) 1.496×108 km (b) 14.96×108 km (c) 1.496×109 km (d) 14.96×109 km
(ii) Write mass of sun in standard notation?
(a) 19.9 × 1028 kg (b) 1.99 × 1028 kg (c) 1.99 × 1030 kg (d) 19.9 × 1030 kg
(iii) Mass of earth in standard notation:
(a) 5.97 × 1024 kg (b) 59.7 × 1024 kg (c) 5.97 × 1026 kg (d) 59.7 × 1026 kg
(iv) Calculate the total mass of earth and moon.
OR
Calculate difference of mass of mars from mass of sun?

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