Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 916 · 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. 1.6.9 × 10⁴ =
2. 2.A scooter is worth ₹24000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
3. 3.Find the compound interest on ₹15400 at 12% per year for 1 year, compounded every year (in ₹).
4. 4.Write 8.5 × 10⁻² as a decimal. =
5. 5.Write 6,10,000 in standard form as 6.1 × 10ⁿ. What is n?
6. 6.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 18 cm and 22 cm, and the distance between them is 16 cm. What is its area (in square cm)?
8. 8.Use (a + b)² = a² + 2ab + b² to find 62².
9. 9.Which of these is a perfect square? (a) 161 (b) 160 (c) 144
10. 10.What is the value of 3⁻⁴ (as a fraction)? =
11. 11.What is the value of 2⁻⁹ (as a fraction)? =
12. 12.Use (a + b)(a − b) = a² − b² to find 101 × 99.
13. 13.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
14. 14.Use (a + b)² = a² + 2ab + b² to find 67².
15. 15.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
16. 16.Which of these is a perfect cube? (a) 729 (b) 872 (c) 943
17. 17.What is the smallest whole number by which 54 must be divided to get a perfect square?
18. 18.Write 2.8 × 10⁻¹ as a decimal. =
19. 19.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
20. 20.8.2 × 10⁴ =
21. 21.What is 16³? =
22. 22.Find the compound interest on ₹16500 at 20% per year for 2 years, compounded every year (in ₹).
23. 23.A trapezium has an area of 135 square cm. Its parallel sides are 18 cm and 12 cm. What is the distance between them (in cm)?
24. 24.What is 39²? =
25. 25.Solve: 6(p − 4) = 5p + 12. What is p?
26. 26.Solve: 6m + 9 = 4m + 37. What is m?
27. 27.Use (a − b)² = a² − 2ab + b² to find 53².
28. 28.If a + b = 6 and ab = 5, what is a² + b²?
29. 29.Use (a − b)² = a² − 2ab + b² to find 58².
30. 30.Write (5⁸)² as a single power 5ⁿ. What is n?
31. 31.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
32. 32.Use a² − b² = (a + b)(a − b) to find 98² − 17².
33. 33.What is √1156? =
34. 34.A trapezium has an area of 270 square cm. Its parallel sides are 5 cm and 22 cm. What is the distance between them (in cm)?
35. 35.What is the difference between the compound interest and the simple interest on ₹44000 at 15% per year for 2 years (in ₹)?
36. 36.Use (a + b)² = a² + 2ab + b² to find 59².
37. 37.A trapezium has parallel sides of 4 cm and 2 cm, and the distance between them is 16 cm. What is its area (in square cm)?
38. 38.What is the value of 5³? =
39. 39.What is the value of 5⁵? =
40. 40.Solve: 7x + 17 = 6x + 20. What is x?

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