Class 8 Question Paper 2023 Maths

ANNUAL EXAMINATION

Question Paper
2023

NCERT BASED SYLLABUS
FOR CBSE AND STATE BOARD
FOLLOWING NCERT

ANNUAL EXAMINATION (2022-23)

Class - VIII Subject – Mathematics
Time – 3 Hours Maximum Marks- 80

General Instructions:
1. This question paper has 5 Section A-E.
2. Section A has 20 MCQs carrying 1 mark each.
3. Section B has 5 questions carrying 2 marks each.
4. Section C has 6 questions carrying 3 marks each.
5. Section D has 4 questions carrying 5 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with subparts of the values 1,1
and 2 marks each respectively.
7. All questions are compulsory. However, an internal choice in 2 questions of 5marks,2 questions of 3
marks and 2 questions of 2 marks has been provided. An internal choice has been provided in the 2marks
questions of Section E.
8. Draw neat figures wherever required .Take Π = wherever required if not stated.

SECTION –A
1.The numbers ……………….and …………………… are their own reciprocal.
a)1,– 1 b)1,0
c) – 1, 0 d) none of these

2. What is the value of ℎ − =
a) −19 b) 5
c) 20 d) 6

3. Find ‘a’ if =
a) −7 b) −9
c) 15 d) 11
4. Two adjacent angles of a parallelogram are equal, the measure of each angle is
a) 90° b)180°
c) 120° d) None of these
5. Sum of the exterior angle of a regular pentagon is
a) 540° b) 360°
c) 180° d) None of these
6. The probability that it will rain tomorrow is 0.75. What is the probability that it will not rain tomorrow

a) 0.35 b) 0.25
c) 0.95 d) None of these

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7. What is the size of the class interval 300- 325?
a) 50 b) 60 c) 25 d)70

8. What is the value of 5 triangular number ?
a) 10 b) 6 c) 15 d) None of these

9. One member of the Pythagorean triplet is 6, what are the other two members?
a) [8, 10] b) [5,3] c) [7,8] d) None of these

10. What is the value of cube root of 1.331?
a) 1.11 b) 1.1 c) 1.01 d) None of these

11. Among all of these which one is Hardy Ramanujan number ?
a) 4104 b) 5164 c) 2315 d) None of these

12. A person sells an article for Rs 550 gaining of its CP .What is the gain percent ?
a) 20% b) 10 % c) 5% d) None of these

13. How many faces of a polyhedron having 12 edges and 8 vertices?
a) 9 b) 6 c) 15 d) 20

14. A symbol having fixed numerical value is called a
a) Variable b) Constant c) Coefficient d) None of these

15. 1 K =……..
a) 1000 b) 100 c) 10 d) 1

16. How many 3 metre cubes can be cut from a cuboid measuring
18m × 12 × 9 ?
a) 36 b) 72 c) 18 d) None of these

×
17. What is the value of ?
a) 125 b) 200 c) 250 d) None of these

18. Sohan type 360 words during half an hour. How many words would he type in
6 mins ?
a) 72 b) 108 c) 54 d) None of these

19. Two factors of the expression + 3 − 88

a) (a−11)(a−8) b) (a+11)( − 8)

c) (a+9)(a+2) d) None of these

20. What is the remainder when 379843 is divided by 3
a) 1 b) 2 c) 3 d) none of these

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SECTION –B

21.What should be added to ?

OR

By what number should we multiply , so that the product may be ?

22. Find the smallest whole number by which 7688 must be multiplied so as to get a perfect square number .

23. If the cost price of 18 mangoes is the same as the selling price of 16 mangoes, find the gain percent .

OR

After allowing a discount of 12% on the marked price of an article, It is sold for Rs880.Find its marked
price.

24. Draw diagram of a Tetrahedron .Write the number of Faces, Vertices and Edges.

25. If x is a digit of the number 67y19 is divisible by 9, where y is a digit .
ℎ ℎ ?

SECTION -C
26. ABC is a right –angled triangle and ‘O’ is the mid point of the side opposite to the right angle. Explain
why ‘O’ is equidistant from A, B and C.

A

B C

27. Construct a quadrilaterals ABCD where AB = 3.5cm ,BC = 6.5cm,

∠ = 75°, ∠ = 105° ∠ = 120°.

28. What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also,
find the cube root of the quotient so obtained .

OR

. .
Evaluate ÷ −1

. .

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29. (a) By what number should (7) be multiplied so that the product may be equal to (−5) ?
(b) Write 0.00000374 in standard form.

30. There are 1200 soldiers in a fort that had enough food for 20 days. But some soldiers were transferred to
another fort and the food lasted for 25 days. How many soldiers were transferred?

OR
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school
has 9 periods a day, assuming the number of school hours to be the same?

31. Plot each of the following points A(2,3),B(5,3),C(5,5)and D(2,5) on a graph sheet. Also find the area of
the quadrilateral ABCD formed.

SECTION –D

32. An altitude of triangle is five-thirds the length of its corresponding base. If the altitude were increased by
4cm and the base be decreased by 2cm, the area of the triangle would remain the same. Find the base and
the altitude of the triangle.
OR

There are 100 multiple choice question in a test , suppose you get 2 marks for every correct answer and
for every question you leave unattempted or answer wrongly, one mark is deducted from your total score
of correct answers. If you get 80 marks in the test then how many questions did you answer correctly?

33. Mohan invested Rs 50,000 at an interest rate of 10% per annum compounded half yearly. What amount
would he get
i) After 6 months?
ii) After 1 year ?

34. (a) If + + − − − =0 ℎ = =

(b) If 4 + = 40 =6 ℎ 2 +

OR

(a) Simplify

(b) If + = 29 =2 ℎ −y .

35. Factorize

(a) (2 + 3 ) − 5(2 + 3 ) − 14

(b) −8 + 16 − 25

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SECTION-E

36. Reshma has bought a new plot .She wishes to construct a house in that area. She draws required
proportions of the following items such as Concrete, Bricks, Timber , Labour cost etc in a pie chart
representing their specific angles. From the given pie chart help her to find the expenditure.

i) What percentage of total expenditure is spent on labour ?
ii) What percentage of total expense is spent on bricks and steel ?
iii) If the total expenditure is estimated to be Rs. 11,00,000 , then how much money was spent on
timber?
OR

If the total expenditure is estimated to be Rs. 11,00,000 , then how much money was spent on
Labour?

37. In the city of Jabalpur , water is supplied by municipal corporation in the city is done through pipes .
Iron pipes are of length 20 cm each with exterior diameter as 25 cm. The thickness of each pipe is 1 cm
. From the above situation find the following for the renovation of the city.

i) Find the internal surface area of the pipe.
ii) Find the external surface area of the pipe .
iii) Find the total surface area of the pipe.
OR
Find the volume of the water inside the pipe.

38. Vinay is a manager in a bank . He looks after the deposits done by people. He has the task to calculate
the simple interests on the deposited money for year by different people . The table below shows the
following – [2+1+1]

Deposit (in Rs. ) 500 1000 1500 2000 2500 3000

Simple Interest(in Rs) 60 120 180 240 300 360

i) Draw a linear graph for the above data.
OR
i) Draw bar graph for the above data.
ii) From the above graph , find the interest on Rs. 1750 for a year .
iii) How much money should be deposited to get an interest of Rs. 90 ?
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