Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 849 · 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 48²? =
2. 2.Find the compound interest on ₹21000 at 5% per year for 1 year, compounded every year (in ₹).
3. 3.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
4. 4.What is the value of 6²? =
5. 5.Write 3.2 × 10⁻² as a decimal. =
6. 6.Solve: 6m + 11 = 3m + 20. What is m?
7. 7.Write 5 × 10⁻³ as a decimal. =
8. 8.What amount will ₹13000 grow to in 3 years at 20% per year compound interest (in ₹)?
9. 9.Which of these is a perfect cube? (a) 2197 (b) 2336 (c) 2459
10. 10.A father is 39 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
11. 11.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
12. 12.Find the value of x² − 2xy + y² when x = 13 and y = 9.
13. 13.A cuboid is 9 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
14. 14.What is the smallest whole number by which 250 must be divided to get a perfect cube?
15. 15.A room is 12 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
16. 16.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
17. 17.Use (a + b)(a − b) = a² − b² to find 24 × 16.
18. 18.What is the difference between the compound interest and the simple interest on ₹44800 at 25% per year for 2 years (in ₹)?
19. 19.What is the value of 9⁵? =
20. 20.What is the value of 2³ × 2⁻¹? =
21. 21.Write 4.9 × 10⁻² as a decimal. =
22. 22.What amount will ₹43900 grow to in 2 years at 20% per year compound interest (in ₹)?
23. 23.A town has 16800 people. The population grows by 15% every year. What will the population be after 2 years?
24. 24.What is the value of 2² × 2⁻⁶? =
25. 25.What is 47²? =
26. 26.The length of a rectangle is 14 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
27. 27.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
28. 28.A square garden has an area of 36 square m. How long is each side (in m)?
29. 29.What is ∛343? =
30. 30.Use a² − b² = (a + b)(a − b) to find 60² − 59².
31. 31.What is the value of 2¹ × 2⁻⁵? =
32. 32.A town has 30000 people. The population grows by 12% every year. What will the population be after 2 years?
33. 33.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
34. 34.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
35. 35.How many whole numbers lie between 15² and 16²?
36. 36.What is 11³? =
37. 37.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
38. 38.If a − b = 1 and ab = 2, what is a² + b²?
39. 39.What amount will ₹32000 grow to in 3 years at 25% per year compound interest (in ₹)?
40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?

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