Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 595 · 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 61²? =
2. 2.A trapezium has an area of 42 square cm. Its parallel sides are 11 cm and 17 cm. What is the distance between them (in cm)?
3. 3.Use (a − b)² = a² − 2ab + b² to find 23².
4. 4.How many whole numbers lie between 27² and 28²?
5. 5.Use (a + b)² = a² + 2ab + b² to find 16².
6. 6.Use a² − b² = (a + b)(a − b) to find 42² − 11².
7. 7.Use (a + b)² = a² + 2ab + b² to find 33².
8. 8.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
9. 9.What is the value of 3⁻⁶ (as a fraction)? =
10. 10.Write 1.9 × 10⁻² as a decimal. =
11. 11.Use (a − b)² = a² − 2ab + b² to find 74².
12. 12.Write 5.4 × 10⁻¹ as a decimal. =
13. 13.Use a² − b² = (a + b)(a − b) to find 33² − 10².
14. 14.A scooter is worth ₹20000. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
15. 15.Write 1.8 × 10⁻³ as a decimal. =
16. 16.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
17. 17.Use (a − b)² = a² − 2ab + b² to find 16².
18. 18.Which of these is a perfect square? (a) 1225 (b) 1244 (c) 1256
19. 19.What is ∛15625? =
20. 20.Write 9.2 × 10⁻⁴ as a decimal. =
21. 21.A scooter is worth ₹34000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
22. 22.A square garden has an area of 529 square m. How long is each side (in m)?
23. 23.Write 9,50,000 in standard form as 9.5 × 10ⁿ. What is n?
24. 24.Find the compound interest on ₹57000 at 10% per year for 3 years, compounded every year (in ₹).
25. 25.What is √3249? =
26. 26.What is ∛8? =
27. 27.What is the smallest whole number by which 112 must be divided to get a perfect square?
28. 28.Solve: 6(t − 3) = 2t + 26. What is t?
29. 29.A trapezium has parallel sides of 27 cm and 23 cm, and the distance between them is 19 cm. What is its area (in square cm)?
30. 30.What is the value of 2² × 2⁻³? =
31. 31.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
32. 32.If a + b = 18 and ab = 77, what is a² + b²?
33. 33.What is 27²? =
34. 34.What is 99²? =
35. 35.What is the difference between the compound interest and the simple interest on ₹18100 at 10% per year for 2 years (in ₹)?
36. 36.1.8 × 10⁶ =
37. 37.Find the compound interest on ₹55400 at 10% per year for 1 year, compounded every year (in ₹).
38. 38.Use (a + b)(a − b) = a² − b² to find 64 × 56.
39. 39.A cuboid is 4 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
40. 40.What is the smallest whole number by which 375 must be divided to get a perfect cube?

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