Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 574 · 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.What is the difference between the compound interest and the simple interest on ₹15900 at 20% per year for 2 years (in ₹)?
2. 2.Find the compound interest on ₹10900 at 10% per year for 1 year, compounded every year (in ₹).
3. 3.What is the value of 3⁻³ (as a fraction)? =
4. 4.Use (a − b)² = a² − 2ab + b² to find 88².
5. 5.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
6. 6.Use (a − b)² = a² − 2ab + b² to find 15².
7. 7.A cuboid is 12 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
8. 8.Use (a + b)(a − b) = a² − b² to find 107 × 93.
9. 9.The diagonals of a rhombus are 28 cm and 12 cm. What is its area (in square cm)?
10. 10.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.A trapezium has parallel sides of 11 cm and 23 cm, and the distance between them is 13 cm. What is its area (in square cm)?
12. 12.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
13. 13.Which of these is a perfect square? (a) 158 (b) 146 (c) 144
14. 14.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.A scooter is worth ₹40000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
16. 16.Use (a − b)² = a² − 2ab + b² to find 62².
17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
18. 18.A trapezium has parallel sides of 9 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
19. 19.What amount will ₹54000 grow to in 2 years at 5% per year compound interest (in ₹)?
20. 20.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
21. 21.Which of these is a perfect square? (a) 112 (b) 102 (c) 100
22. 22.Write 6.4 × 10⁻² as a decimal. =
23. 23.Which of these is a perfect cube? (a) 27 (b) 54 (c) 41
24. 24.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
25. 25.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
26. 26.A trapezium has an area of 416 square cm. Its parallel sides are 24 cm and 28 cm. What is the distance between them (in cm)?
27. 27.Solve: 4t + 12 = 2t + 32. What is t?
28. 28.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
29. 29.What is the difference between the compound interest and the simple interest on ₹41500 at 20% per year for 2 years (in ₹)?
30. 30.What is the difference between the compound interest and the simple interest on ₹32900 at 20% per year for 2 years (in ₹)?
31. 31.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
32. 32.What is the smallest whole number by which 150 must be divided to get a perfect square?
33. 33.What is the smallest whole number by which 56 must be divided to get a perfect cube?
34. 34.Use (a + b)² = a² + 2ab + b² to find 13².
35. 35.Which of these is a perfect cube? (a) 64 (b) 87 (c) 71
36. 36.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
37. 37.What is the value of 4⁷? =
38. 38.Find the compound interest on ₹20000 at 4% per year for 2 years, compounded every year (in ₹).
39. 39.A cuboid is 4 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
40. 40.Use (a − b)² = a² − 2ab + b² to find 11².

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