Indraprastha WORLD SCHOOL
Paschim Vihar, New Delhi – 110063
Session: 2018 – 19
Sample Paper
Mathematics
Class VIII Maximum Marks: 80
Date: Time Allowed: 3 Hours
General Instructions
● This question paper consists of 30 questions and 3 printed pages.
● All the questions are compulsory.
● Write the answer neatly and legibly.
● Marks for each question are indicated against it.
Section A
1. A die is thrown. What is the probability that the number 3 will come on the upper face? 1
2. A polyhedron has 20 faces and 12 vertices. Find the number of edges. 1
3. Write 0.00021 in the standard form. 1
3
4. A cube has volume 8000 cm . Find its edge. 1
5. Find the cost of 8 books if 6 books cost Rs. 480. 1
6. The number x divided by 5 gives 6. What is the value of x? 1
Section B
7. Find the value of P if9p + 1 ÷ 3p = 81 2 Formatted: Font color: Yellow
−2 1
8. Find four rational numbers between and 2
3 4
9. Find the distance covered by an ant around a semicircular protractor whose diameter is 14 cm. 2
10. Find two numbers such that one of them exceeds the other by 9 and their sum is 81. 2
11. Solve for x: 17(2 – x) – 5(x + 12) = 8(1 – 7x). 2
12. Find the least number that should be subtracted from 5634 to make it a perfect square. 2
Section C
13. Factorise: 2x2 – 14x + 24. 3
14. Find three consecutive even numbers whose sum is 234. 3
15. a. Find the coordinate of a point which lies on y axis at a distance of 5 unit below the origin. 3
b. Find the perpendicular distance of point P (-5, 4) from x axis.
c. Do (4, 5) and (5, 4) represent the same point?
16. The following table gives the marks scored by the students in an entrance examination. 3
Marks: 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
No. of students 25 35 48 37 23 22
Represent this data in the form of a histogram.
Page 1 of 2
17. 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? 3
18. A suitcase which measures 80 cm 48 cm 24 cm is to be covered with a tarpaulin cloth. How
many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases. 3
1 1
19. If x -𝑥 = 8, find the value of x2+𝑥 2 . 3
20. a. Subtract: 2ab + 5bc – 7ca from 10ca – 6bc + 4ab. 2+1
b. Simplify: a (b – c ) + b (c – a ) + c (a – b2).
2 2 2 2 2 2 2 2
21. The following table shows the time spent by a child during a day, draw a pie chart of the data
given below. 3
Sleep School Homework play others
8h 6h 4h 4h 2h
22. Construct a quadrilateral ABCD, given that AB = 5 cm, BC = 4.5 cm, CD = 4 cm, B = 60O
andC = 135O . 3
Section D
23. a. Divide the multiplicative inverse of -6/24 by the additive inverse of30/18. 3+1
1 1
b. What should be subtracted from ( 3 +2) to get 0?
24. Five persons working 8 hours a day can do a piece of work in 18 days. How many persons will
complete it working 9 hours a day in 10 days? 4
25. Draw a square pyramid. Write its number of faces, vertices and edges. 4
Also, verify Euler’s formula for it.
26. Find the square root of 0.9 correct to two decimal places. 4
(2𝑥 2 – 50) (4𝑥 3 – 64𝑥)
27. If A = , B= then evaluate B – A. 4
(𝑥 – 5) (𝑥 2 −4𝑥)
28. Mohit can ride a car constantly at a speed of 30km/h. Draw a time distance graph for this
situation. Use it to find 4
a. The time taken by Mohit to ride 75 km.
b. The distance covered by Mohit in 4.5 hours.
29. Draw a rhombus BEST whose diagonals are 8cm and 6 cm long. Also, write down the steps of
construction. 4
30. The total surface area of a right circular cylinder is 6512 cm2 and the circumference of its base is
88 cm, find the volume of the cylinder. 4
Page 2 of 2
