Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 604 · 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 value of 2² × 2⁻²? =
2. 2.Use (a − b)² = a² − 2ab + b² to find 47².
3. 3.5.5 × 10⁴ =
4. 4.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
5. 5.What is 15³? =
6. 6.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
7. 7.What amount will ₹21600 grow to in 1 year at 20% per year compound interest (in ₹)?
8. 8.What amount will ₹9500 grow to in 1 year at 10% per year compound interest (in ₹)?
9. 9.Write 4¹⁰ ÷ 4⁸ as a single power 4ⁿ. What is n?
10. 10.Use (a + b)² = a² + 2ab + b² to find 52².
11. 11.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
12. 12.A trapezium has parallel sides of 18 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
13. 13.A square garden has an area of 100 square m. How long is each side (in m)?
14. 14.Which of these is a perfect cube? (a) 216 (b) 286 (c) 263
15. 15.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
16. 16.Write (3⁸)³ as a single power 3ⁿ. What is n?
17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
18. 18.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
20. 20.Solve: 6(t − 2) = t + 28. What is t?
21. 21.Solve: 3(y − 3) = y + 15. What is y?
22. 22.What is ∛2197? =
23. 23.Use (a + b)(a − b) = a² − b² to find 94 × 86.
24. 24.A father is 22 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
25. 25.Find the compound interest on ₹19700 at 10% per year for 2 years, compounded every year (in ₹).
26. 26.Write (5³)⁹ as a single power 5ⁿ. What is n?
27. 27.What is 45²? =
28. 28.What is the value of 2¹⁰? =
29. 29.What is ∛216? =
30. 30.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
31. 31.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
32. 32.A trapezium has parallel sides of 24 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
33. 33.A trapezium has an area of 114 square cm. Its parallel sides are 26 cm and 12 cm. What is the distance between them (in cm)?
34. 34.What is the value of 5³ × 5⁻²? =
35. 35.Use (a + b)(a − b) = a² − b² to find 77 × 63.
36. 36.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
38. 38.Find the compound interest on ₹6200 at 20% per year for 1 year, compounded every year (in ₹).
39. 39.What is the value of 2⁻⁶ (as a fraction)? =
40. 40.Write 9¹¹ ÷ 9³ as a single power 9ⁿ. What is n?

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