Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 226 · 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 (2/3)⁻¹? =
2. 2.Which of these is a perfect square? (a) 1119 (b) 1099 (c) 1089
3. 3.Use (a + b)² = a² + 2ab + b² to find 89².
4. 4.What is the smallest whole number by which 640 must be divided to get a perfect square?
5. 5.4.6 × 10⁵ =
6. 6.Find the compound interest on ₹22400 at 5% per year for 1 year, compounded every year (in ₹).
7. 7.Solve: p/3 + p/6 = 6. What is p?
8. 8.What is the value of 2²? =
9. 9.A father is 15 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
10. 10.What is 57²? =
11. 11.Use (a − b)² = a² − 2ab + b² to find 81².
12. 12.What is ∛512? =
13. 13.Write 4.7 × 10⁻⁴ as a decimal. =
14. 14.Use a² − b² = (a + b)(a − b) to find 50² − 29².
15. 15.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
16. 16.Solve: 6(y − 5) = y + 65. What is y?
17. 17.Solve: n/6 + n/2 = 16. What is n?
18. 18.What amount will ₹57300 grow to in 1 year at 12% per year compound interest (in ₹)?
19. 19.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
20. 20.A cuboid is 3 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
21. 21.What is the value of 10⁴? =
22. 22.A trapezium has an area of 266 square cm. Its parallel sides are 10 cm and 28 cm. What is the distance between them (in cm)?
23. 23.Solve: 3(t − 2) = 2t + 7. What is t?
24. 24.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
25. 25.What amount will ₹4800 grow to in 1 year at 5% per year compound interest (in ₹)?
26. 26.What is the smallest whole number by which 396 must be multiplied to get a perfect square?
27. 27.What is 13³? =
28. 28.What is the value of 3⁻¹ (as a fraction)? =
29. 29.What is the difference between the compound interest and the simple interest on ₹26800 at 25% per year for 2 years (in ₹)?
30. 30.9.9 × 10⁴ =
31. 31.A town has 30400 people. The population grows by 15% every year. What will the population be after 2 years?
32. 32.What is the smallest whole number by which 375 must be divided to get a perfect cube?
33. 33.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
34. 34.What is the value of 3²? =
35. 35.What is the value of (4/5)⁻²? =
36. 36.Solve: p/6 + p/5 = 11. What is p?
37. 37.Find the value of x² + 2xy + y² when x = 14 and y = 6.
38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
39. 39.Find the compound interest on ₹42500 at 20% per year for 1 year, compounded every year (in ₹).
40. 40.Solve: m/3 + m/6 = 21. What is m?

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