Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 798 · 40 sums

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

1. 1.A trapezium has parallel sides of 19 cm and 11 cm, and the distance between them is 13 cm. What is its area (in square cm)?
2. 2.Solve: 3p + 9 = p + 17. What is p?
3. 3.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
4. 4.Write 9⁸ × 9⁹ as a single power 9ⁿ. What is n?
5. 5.A cuboid is 12 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
6. 6.What is the difference between the compound interest and the simple interest on ₹16800 at 15% per year for 2 years (in ₹)?
7. 7.What is 14³? =
8. 8.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
9. 9.What is the difference between the compound interest and the simple interest on ₹51200 at 25% per year for 2 years (in ₹)?
10. 10.What is the difference between the compound interest and the simple interest on ₹13200 at 5% per year for 2 years (in ₹)?
11. 11.What is the smallest whole number by which 63 must be divided to get a perfect square?
12. 12.Find the compound interest on ₹16400 at 10% per year for 1 year, compounded every year (in ₹).
13. 13.Solve: 5(y − 3) = 2y + 18. What is y?
14. 14.What amount will ₹34200 grow to in 1 year at 12% per year compound interest (in ₹)?
15. 15.Solve: 4(p − 5) = 2p + 20. What is p?
16. 16.A room is 10 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
17. 17.Solve: y/3 + y/6 = 9. What is y?
18. 18.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
19. 19.Use (a + b)(a − b) = a² − b² to find 64 × 56.
20. 20.If a + b = 10 and ab = 9, what is a² + b²?
21. 21.A cuboid is 8 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
22. 22.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
23. 23.What is the value of 3⁻⁵ (as a fraction)? =
24. 24.Use a² − b² = (a + b)(a − b) to find 28² − 14².
25. 25.What is the smallest whole number by which 539 must be divided to get a perfect square?
26. 26.What is the value of 5¹ × 5⁻¹? =
27. 27.Which of these is a perfect square? (a) 453 (b) 441 (c) 480
28. 28.Solve: x/5 + x/3 = 64. What is x?
29. 29.Use (a − b)² = a² − 2ab + b² to find 67².
30. 30.Use a² − b² = (a + b)(a − b) to find 93² − 60².
31. 31.The sum of three consecutive whole numbers is 39. What is the largest of them?
32. 32.Which of these is a perfect square? (a) 111 (b) 120 (c) 100
33. 33.Find the value of x² + 2xy + y² when x = 4 and y = 1.
34. 34.Use (a + b)² = a² + 2ab + b² to find 54².
35. 35.Solve: 6n + 6 = 2n + 42. What is n?
36. 36.A cuboid is 15 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
37. 37.Find the value of x² − y² when x = 13 and y = 9.
38. 38.Use (a − b)² = a² − 2ab + b² to find 21².
39. 39.What is the value of 2² × 2⁻⁶? =
40. 40.Write 19,00,000 in standard form as 1.9 × 10ⁿ. What is n?

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