Class 8 Question Paper 2025 Maths

ANNUAL EXAMINATION

Question Paper
2025
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Annual Exam 2025 Question Paper
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SESSION ENDING EXAMINATION 2024-2025
CLASS-VIII
SUBJECT-MATHEMATICS
Maximum Marks: 60 Time: 2 Hrs. 30 min
GENERAL INSTRUCTIONS:

1.​ This question paper has four sections A, B, C, and D.
2.​ Section A has 15 Multiple Choice Questions carrying 1 mark each.
3.​ Section B has 6 questions carrying 2 and 3 mark each.
4.​ Section C has 3 questions carrying 5 marks each.
5.​ Section D has 4 competency based questions carrying 4 and 3 marks each.
6.​ Internal choices are provided in 2 questions of Section B, 2 questions of Section C and 1 question
of Section D.
7.​ All questions are compulsory.
S.NO SECTION –A(15X1=15) MARKS

1. What is the product of (x+a) and (x+b)? 1
(a) x2+ (a-b)x + ab (b)x2 + (a+b)x – ab (c) x2 + (a+b)x – ab (d) x2 + (a+b)x + ab

2. What is the value of 5x25 - 3x32 + 2x-12 at x=1? 1
(a) 0 (b)2 (c) 4 (d)None of these
3. 3 2 2 2
What degree does x - x y - 8y + 2 have? 1
(a) 2 (b) 3 (c) 4 (d) 7

4. A sphere has how many faces? 1
(a) One (b) Two (c) Four (d) None

5. The side-view of a cone appears as 1
(a) Circle (b) Square (c) Rectangle (d) Triangle

6. An example of a cylindrical shape is 1
(a) Pipes (b) Gas cylinder (c)Cold drink cans (d) All of the above

7. 1000+200+50 is equal to 1
(a) 125 (b) 25 (c)1/125 (d) 3
8. Find the multiplicative inverse of 5-3. 1
(a) 53 (b) ⅕ (c) 52 -2
(d)5

9. If x and y are directly proportional, then which of the following is correct? 1
(a) x+y=constant (b) x-y=constant (c) xy=constant (d) x/y=constant

10. A man walks 20 km in 5 hours. How much time it will take for him to walk 32 km? 1
(a) 3 hours (b) 4 hours (c) 6 hours (d) 8 hours

11. The factors of 4y2 – 12y + 9 is: 1
(a) (2y+3)2 (b) (2y-3)2 (c) (2y-3)(2y+3) (d) None of the above

12. The factors of xyz are: 1

(a) x (b)y (c) z (d) All of the above
13. A ________ is a bar graph that shows data in intervals. 1
(a) Bar-graph (b) Pie-chart (c) Histograph (d) Line Graph
14. A graph that displays data that changes continuously over periods of time is called: 1
(a) Bar-graph (b) Pie-chart (c) Histograph (d) Line Graph

15. A line graph which is a whole unbroken line is called a: 1
(a)Linear graph (b) Pie-chart (c) Histograph (d) Bar-graph

Annual Exam 2025 Question Paper
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SECTION –B(3X2+3X3=15)
16. Add (i) 5m (3 – m) and 6m – 13m (ii) 4y (3y 2 + 5y – 7) and 2 (y 3 – 4y 2 + 5)
2 2
Or
Subtract 4p 2q – 3pq + 5pq2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2 + 5p 2q
17. The area of a rhombus is 240 cm2 and one of the diagonals is 16 cm. Find the other diagonal 2
18. The scale of a map is given as 1:30000000. Two cities are 4 cm apart on the map. Find the 2
actual distance between them
19. Find the value of. (i) (3° + 4– 1) × 22 (ii) (2– 1 × 4– 1) ÷ 2– 2 3
Or
Find m so that (–3)m + 1 × (–3)5 = (–3)7
20. Factorise.(I) 4x 2 – 8x + 4 (II) a 4 – b 4 3
21. Use the tables below to draw linear graphs. 3
(a) The number of days a hill side city received snow in different years.

SECTION –C(3X5=15)
22. In a building there are 24 cylindrical pillars.The radius of each pillar is 28 cm and height is 4m. 5
Find the total cost of painting the curved surface area of all pillars at the rate of ₹ 8 per m2 .
Or
The floor of a building consists of 3000 tiles which are rhombus shaped and each of its
diagonals are 45 cm and 30 cm in length. Find the total cost of polishing the floor, if the cost
per m2 is ₹ 4.
23. Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and 5
height is 7 cm. Without doing any calculations can you suggest whose volume is greater?
Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater
volume also has greater surface area?

24. There are 100 students in a hostel. Food provision for them is for 20 days. How long will these 5
provisions last, if 25 more students join the group?
Or
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 required to cover a distance of 250 km.
SECTION –D COMPETENCY BASED QUESTION
25. Rahul went to the market and purchased a beautiful box for jewellery. The external
dimensions of a closed box are 80 cm by 56 cm by 40 cm. The wood is 2.5 cm thick all around.
On basis of this information given in passage answer following questions.
(i) Find the capacity of the box.​ 2
(a) 123875 cm3 (b) 194865 cm3 (c) 133875 cm3 (d) 133975 cm3
(ii) Find the external volume of box.​ 2

(a) 179200 cm3 (b) 197200 cm3 (c) 169700 cm3 (d) 198200 cm3
26. 120 men had food provisions for 200 days. After 5 days, 30 men die due to an epidemic.
(i)​ What is the proportion between the men and number of days . 2

(ii)​ How long will the remaining food last? 2

27. The given graph below describes the Annual Examof2025
distances a carQuestion Paper
from a city P at different times when it
-- AGLASEM --
is travelling from City P to City Q, which are 350 km apart. Study the graph and answer the
following:

(i)​ How far did the car go in the first hour? 1

(ii)​ How far did the car go during (i) the 2nd hour? (ii) the 3rd hour? 1

(iii)​ When did the car reach City Q? 2

28. Two brothers Anuj and Aman started a business together. They decided to share the capitals depending
upon the variable expenditure. The capital of two brothers together is given by the polynomial p2 + 10p
+ 21, which is the product of their individual share factors.
(i)​ The capital of the two partners when p=8 ?​ 1
(a) ₹872 (b) ₹1072 (c) ₹972 (d) ₹672

(ii)​ What is the individual share of both brothers? 2

Or
Factorize
(a) x2 + 6x – 16
(b) (x + y)2 – 4xy 1

2

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