SEVEN SQUARE ACADEMY
Academic Year – 2016-2017
Secondary Section
SAMPLE PAPER FOR ASSESSMENT II
Name: _________________________
Roll No: ______
Class:
Division: _________
Vlll
Subject: Mathematics
TOTAL MARKS: 90
Date:
Time: 3hrs
General Instructions:
1. All questions are compulsory
2. The question paper consists of 31questions divided into 4 sections A, B, C and D.
3. Section A comprises of 04 questions of 1 mark each.
4. Section B comprises of 06 questions of 2 marks each.
5. Section C comprises of 10 questions of 3 marks each.
6. Section D comprises of 11 questions of 4 marks each.
SECTION – A
3
4X1=4
2 2
1. The common factor of 14pq and 28p q is ---------------------2. In which quadrant /axes does the point (10,-13) lie?
3. The diagonals of a rhombus are 14 cm and 12.8 cm. Find its area.
3
4. Express 6 as the sum of odd numbers.
SECTION –B
Solve the following:5. Divide : 9x2y2 (3x 24 ) 27xy (x 8)
6. Factorise : 15xy – 6x + 5y 2
6 X2=12
 Find the values of the letters in the following :
2 A B


8. Find the height of a cuboid whose volume is 550 cm3 area of the base is 25 cm2.
9. Lengths of adjacent sides of a parallelogram is 3cm and 4cm respectively. Find its perimeter.
10. Find the cube root of 13824 prime factorization method.
SECTION-C
Solve the following:10X3=30
11. Find the smallest number by which 53240 must be divided to obtain a perfect cube.
12. Simplify: (a + b + c) (a + b c)
13. Subtract 4p2q-3pq+5p2+8p+7q-10 from 3p-11q+5pq-2pq2+5p2q.
14. The base area of a cylinder is 616cm2 and its height is 15 cm. Find the volume of the cylinder.
15. Factorise: x2-9x-90
16. If 31a768 is divisible by 9 where ‘a’ is a digit, then what is the value of a?
17. Divide: 4m2n2(32m2 – 18n2) 18mn(4m + 3n)
18. 14 pumps of equal capacity can fill a tank in 6 days. If the tank has to be filled in the 4 days, find the
number extra pumps needed.
19. The following line graph shows the yearly sales figures for a manufacturing company.
(a) What were the sales in (i) 2002 (ii) 2006?
(b) What were the sales in (i) 2003 (ii) 2005?
(c) Compute the difference between the sales in 2002 and 2006.
20. State and verify the Euler’s Formula for a triangular pyramid.
SECTION-D
11X4=44
21. The floor of a building consists of 3000 tiles which are rhombus shaped and each of
its diagonals are 55 cm and 40 cm in length. Find the total cost of polishing the floor, if the cost
per m2 is Rs 5
22. A road roller takes 900 complete revolutions to move once over to level a road. Find the area of the
road if the diameter of a road roller is 84 cm and length is 1.2 m.
23. A car travels a distance of 715 km at a uniform speed. If the speed of the car is 10km/hours more . it
take 2 hours less to cover the same distance. Find the original speed of the car.
24. Simplify: (9p +5q)2 (9p 5q)2
25. A bank gives 10% Simple Interest (S.I.) on deposits by senior citizens. Draw a graph to
illustrate the relation between the sum deposited and simple interest earned. Find from your graph
(a) the annual interest obtainable for an investment of Rs 250.
(b) the investment one has to make to get an annual simple interest of Rs. 70.
26 Factorise and simplify: 8a2b3(a2 6a 16) 2ab2(a2 4)
27. The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a
rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?
28. Using identities, evaluate:
(a) 1542 1462 (b) 1982
29. Check the divisibility of the following numbers by 9.
(i) 72163458, (ii) 23457891, (iii) 12304905, iv)3045809
30. Find the smallest number which when multiplied with 3600 will make the product a perfect cube.
Further find the cube root of the product.
31. If a box of toffees is divided among 24 children, they will get 5 toffees each. How many toffees will
each get if the number of children is reduced by 4?
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