CBSE Class 8 Maths Sample Paper 3
CBSE Class 8
Maths Sample Paper3
Time Durations: 3:00 hrs. Maximum Marks: 100
General Instructions:

The question paper consists of 35 questions divided into 4 sections A, B, C and D. Section A comprises of 10 questions of 1 mark each. Section B comprises of 7 questions of 3 marks each. Section C comprises of 12 questions of 4 marks each. Section D comprises of 6 questions of 7 marks each.

In Section – A all questions are compulsory. In Section – B solve any 5 questions. In Section – C solve any 10 questions and in Section – D solve any 5 questions.

Draw neat diagrams wherever needed.
SECTION – A
(Attempt all questions)
1. The difference between the highest and the lowest values of a set of data is called________.
2. $text { The product of }(94),left(x^{4} yright),left(x y^{3}right) text { and }left(x^{3} y^{2}right) text { is }$ ______.
3. How many faces and edges does a triangular prism have?
4. TSA of a prism = LSA + 2x ______.
5. Write 0.0000507 in standard form.
6. $text { A pipe that fills } 25 % text { of a tank in } 1 text { hour will fill it completely in }$ ______ hours.
7. $4 x^{2}9 y^{2}=?$
8. A point with y coordinate zero will lie on ______ axis.
9. $text { If } 62 mathrm{y}^{3}$ is a multiple of 3, where y is a single digit then what should be the minimum and maximum value of y?
10. A number divisible by both 2 and 5 must have ____ in its ones place
SECTION – B
(Attempt any five questions)
11. Evaluate using suitable identity: 1.05 × 9.5.
12. Simplify: 3y(2y – 7) – 3(y – 4) – 63 and evaluate for y = – 2.
13. Draw the top, side and front view of the given figure
14. Find the length of the altitude of a rhombus if lengths of its two diagonals are 12cm and 16cm respectively.
15. $text { Evaluate }:left(6^{1}7^{1}right)^{1}left(5^{1}4^{1}right)^{1}$
16. Write Euler’s formula, then find the number of faces in a solid if the number of vertices is 8 and number of edges is 12.
17. In a stack there are 5 books each of thickness 20mm and 5 paper sheets each of thickness 0.016mm. What is the total thickness of the stack? Write in standard form.
SECTION – C
(Attempt any ten questions)
18. 12 cards numbered 1,2,3,……11,12 are kept in a box and mixed thoroughly. If one card is drawn at random, nd the probability of getting a card with:
i) a prime number ii) a factor of 12
iii) a number divisible by 3 iv) a multiple of 2
19. Evaluate without actual multiplication:
$text { (ii) }(105)^{2}$
$text { (ii) }(105)^{2}$
20. Simplify:
$text { (i) }(5 x6)(2 x3)+(3 x+5)^{2}$
$text { (ii) }(2 x+5 y)(2 x+3 y)$
21. Verify Euler’s formula for the given solid.
22. Find the volume of a cube if its total surface area is 150cm2.
$text { (a) Find } mathrm{m} text { so that }(3)^{mathrm{m}+1} times(3)^{5}=(3)^{7}$
$text { (b) Find the value of }left(3^{0}+4^{1}right) times 2^{2}$
23. A 5m 60cm high pole casts a shadow of length 3m 20cm.
(a) Find at the same time the length of a shadow cast by another pole 10m 50cm high.
(b) Find the height of the pole if the length of the shadow is 6m 40cm.
24. Factorise:
$text { (a) } m^{4}256$
$text { (b) } x^{2}+x y+8 x+8 y$
25. (a)$text{Find the highest common factor of } 16 x^{3},4 x^{2}, 32 x$
(b)$text{Factorise } x^{2}14 x+13$
26. Given below is the histogram showing the weights of 36 students of a hostel:
Answer the following:
(i) What is the class size?
(ii) How many students are there in the class intervals of weights 4070 and 8090?
(iii) How many students weigh 70 kg or more?
27. An aquarium is in the form of a cuboid whose external measures are 80 cm x 30 cm x 40 cm. The base, side faces and back face are to be covered with the coloured paper. Find the area of paper needed.
28. Work out the following divisions:
$text { (i) }left(7 x^{2}+14 xright) div(x+2)$
$text { (ii) } 5 p qleft(p^{2}q^{2}right) div 2 p(p+q)$
SECTION – D
(Attempt any five questions)
29. On a particular day, the sales (in rupees) of different items of a baker’s shop are given below. Draw a pie chart for this data:
$begin{array}{ll}hline text { Ordinary bread } & 320 \hline text { Fruit } & 80 \hline text { Cakes and pastries } & 160 \hline text { Biscuits } & 120 \hline text { Others } & 40 \hlinetext { TOTAL } & 720 \hlineend{array}$
30. Diagram of the given picture frame has outer dimensions as 24cm × 28cm and inner dimensions as 16cm × 20cm. Find the area of each section of the frame, if the width of each section is same.
31. Rohit is making a wheel using spokes. He wants to x equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:
$begin{array}{ccccc}hline text { No. of Spokes } & 4 & 6 & 8 & 10 \hline text { Angle between a pair of consecutive spokes } & 90^{circ} & 60^{circ} & ? & ? \hlineend{array}$
(a) Are the number of spokes and the angles formed between the pair of consecutive spokes in inverse proportion?
(b) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
(c) How many spokes would be needed if the angle between a pair of consecutive spokes is $ 40^{circ} $ ?
32. (a) $text{Factorise then divide :}frac{156left(36 y^{2}64right) y^{3}}{104^{2}(6 y+8) y}$
(b) Factorise: $16mathrm{a}^{2}25mathrm{~b}^{2}+60mathrm{bc}36mathrm{c}^{2}$
33. Draw a line graph for the following
$begin{array}{llllll}hline text { Side of square(in } mathrm{cm}) & 10 & 20 & 25 & 30 & 40 \hline text { Perimeter (in cm) } & 40 & 80 & 100 & 120 & 160 \hlineend{array}$
34. (a) A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7m. Find the quantity of milk in litres that can be stored in the tank.
(b) Find the height of a cuboid whose volume is $ 275 mathrm{~cm}^{3} $ and base area is $ 25 mathrm{~cm}^{2}$