Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 5 · 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.Use a² − b² = (a + b)(a − b) to find 84² − 30².
2. 2.5.4 × 10⁷ =
3. 3.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
4. 4.What is the difference between the compound interest and the simple interest on ₹17600 at 25% per year for 2 years (in ₹)?
5. 5.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
6. 6.Which of these is a perfect square? (a) 206 (b) 196 (c) 210
7. 7.What is the difference between the compound interest and the simple interest on ₹55000 at 8% per year for 2 years (in ₹)?
8. 8.Use (a + b)² = a² + 2ab + b² to find 42².
9. 9.Which of these is a perfect cube? (a) 1355 (b) 1640 (c) 1331
10. 10.Use (a − b)² = a² − 2ab + b² to find 96².
11. 11.What is 12³? =
12. 12.3.6 × 10⁷ =
13. 13.A scooter is worth ₹53600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
14. 14.Write 7,70,00,000 in standard form as 7.7 × 10ⁿ. What is n?
15. 15.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
16. 16.A cuboid is 14 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
17. 17.What is 88²? =
18. 18.Which of these is a perfect square? (a) 922 (b) 940 (c) 900
19. 19.Write 6.5 × 10⁻³ as a decimal. =
20. 20.Use (a + b)² = a² + 2ab + b² to find 29².
21. 21.What amount will ₹41600 grow to in 2 years at 20% per year compound interest (in ₹)?
22. 22.Find the compound interest on ₹19800 at 5% per year for 1 year, compounded every year (in ₹).
23. 23.Solve: 7p + 8 = 2p + 48. What is p?
24. 24.Use (a + b)² = a² + 2ab + b² to find 85².
25. 25.The sum of three consecutive whole numbers is 69. What is the smallest of them?
26. 26.What is the smallest whole number by which 864 must be divided to get a perfect cube?
27. 27.What is the value of 3⁴ × 3⁻²? =
28. 28.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
29. 29.Solve: t/4 + t/2 = 24. What is t?
30. 30.4.4 × 10⁴ =
31. 31.A cuboid is 3 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
32. 32.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
33. 33.What is √3600? =
34. 34.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
35. 35.What is the value of (4/7)⁻²? =
36. 36.The diagonals of a rhombus are 28 cm and 21 cm. What is its area (in square cm)?
37. 37.What is the value of 2⁵ × 2⁻²? =
38. 38.What amount will ₹19000 grow to in 3 years at 10% per year compound interest (in ₹)?
39. 39.What is 19³? =
40. 40.Write 8.7 × 10⁻² as a decimal. =

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