Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 358 · 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.Which of these is a perfect cube? (a) 2612 (b) 2329 (c) 2197
2. 2.Write 7¹⁰ ÷ 7⁶ as a single power 7ⁿ. What is n?
3. 3.Find the compound interest on ₹50400 at 5% per year for 2 years, compounded every year (in ₹).
4. 4.The diagonals of a rhombus are 8 cm and 13 cm. What is its area (in square cm)?
5. 5.A town has 15000 people. The population grows by 8% every year. What will the population be after 2 years?
6. 6.If a + b = 8 and ab = 12, what is a² + b²?
7. 7.A scooter is worth ₹15700. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
8. 8.What is 19³? =
9. 9.A scooter is worth ₹3300. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
10. 10.The sum of two consecutive whole numbers is 31. What is the largest of them?
11. 11.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
12. 12.Solve: n/2 + n/4 = 24. What is n?
13. 13.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
14. 14.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
15. 15.Write 1.5 × 10⁻³ as a decimal. =
16. 16.What is ∛10648? =
17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
18. 18.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
19. 19.The diagonals of a rhombus are 22 cm and 15 cm. What is its area (in square cm)?
20. 20.Use (a + b)² = a² + 2ab + b² to find 57².
21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
22. 22.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
23. 23.What amount will ₹15900 grow to in 1 year at 8% per year compound interest (in ₹)?
24. 24.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
25. 25.What is the difference between the compound interest and the simple interest on ₹20000 at 12% per year for 2 years (in ₹)?
26. 26.Which of these is a perfect cube? (a) 39 (b) 43 (c) 27
27. 27.A cuboid is 4 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
29. 29.What amount will ₹16500 grow to in 1 year at 10% per year compound interest (in ₹)?
30. 30.Find the compound interest on ₹7000 at 10% per year for 3 years, compounded every year (in ₹).
31. 31.If a + b = 4 and ab = 3, what is a² + b²?
32. 32.What is the difference between the compound interest and the simple interest on ₹23200 at 25% per year for 2 years (in ₹)?
33. 33.What is the difference between the compound interest and the simple interest on ₹9200 at 15% per year for 2 years (in ₹)?
34. 34.Write (5⁸)⁴ as a single power 5ⁿ. What is n?
35. 35.What is the value of 2⁵ × 2⁻⁴? =
36. 36.Solve: 3(p − 1) = 2p + 13. What is p?
37. 37.What is the value of 3² × 3⁻³? =
38. 38.Solve: 6(m − 1) = 5m + 7. What is m?
39. 39.Write (2⁸)⁷ as a single power 2ⁿ. What is n?
40. 40.What is 27²? =

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