Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 813 · 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 5³? =
2. 2.What is the value of 2⁸? =
3. 3.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
4. 4.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
5. 5.What is the difference between the compound interest and the simple interest on ₹32500 at 12% per year for 2 years (in ₹)?
6. 6.What is √1936? =
7. 7.How many whole numbers lie between 43² and 44²?
8. 8.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
9. 9.How many whole numbers lie between 49² and 50²?
10. 10.Use (a − b)² = a² − 2ab + b² to find 81².
11. 11.A scooter is worth ₹43000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
12. 12.What is ∛4913? =
13. 13.What is the smallest whole number by which 32 must be divided to get a perfect square?
14. 14.What is the value of (2/9)⁻¹? =
15. 15.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
16. 16.5.5 × 10² =
17. 17.Use a² − b² = (a + b)(a − b) to find 40² − 29².
18. 18.How many whole numbers lie between 42² and 43²?
19. 19.Write 9² × 9⁸ as a single power 9ⁿ. What is n?
20. 20.Use (a − b)² = a² − 2ab + b² to find 97².
21. 21.What is the value of 2⁻⁵ (as a fraction)? =
22. 22.Write 6.1 × 10⁻¹ as a decimal. =
23. 23.Use a² − b² = (a + b)(a − b) to find 41² − 4².
24. 24.Use (a + b)(a − b) = a² − b² to find 71 × 69.
25. 25.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
26. 26.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
27. 27.How many whole numbers lie between 8² and 9²?
28. 28.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
29. 29.What is the smallest whole number by which 1053 must be divided to get a perfect square?
30. 30.What amount will ₹20500 grow to in 3 years at 20% per year compound interest (in ₹)?
31. 31.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
32. 32.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
33. 33.What is 16³? =
34. 34.Solve: p/5 + p/6 = 22. What is p?
35. 35.If a − b = 4 and ab = 21, what is a² + b²?
36. 36.What is the value of (4/7)⁻²? =
37. 37.Which of these is a perfect cube? (a) 2951 (b) 3223 (c) 2744
38. 38.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
39. 39.The length of a rectangle is 13 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
40. 40.What is the value of (1/9)⁻²? =

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