Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 291 · 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.Find the compound interest on ₹50000 at 4% per year for 2 years, compounded every year (in ₹).
2. 2.What is the value of 2¹³? =
3. 3.Use (a + b)(a − b) = a² − b² to find 23 × 17.
4. 4.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
5. 5.If a + b = 7 and ab = 6, what is a² + b²?
6. 6.What is the difference between the compound interest and the simple interest on ₹27100 at 20% per year for 2 years (in ₹)?
7. 7.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
8. 8.What is the value of 10² × 10⁻⁴? =
9. 9.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
11. 11.Use (a − b)² = a² − 2ab + b² to find 66².
12. 12.Write (9⁵)⁵ as a single power 9ⁿ. What is n?
13. 13.What amount will ₹29900 grow to in 1 year at 10% per year compound interest (in ₹)?
14. 14.Write 870 in standard form as 8.7 × 10ⁿ. What is n?
15. 15.Solve: x/2 + x/3 = 25. What is x?
16. 16.Solve: x/5 + x/4 = 18. What is x?
17. 17.Write 2.7 × 10⁻² as a decimal. =
18. 18.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
19. 19.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
20. 20.Use (a − b)² = a² − 2ab + b² to find 85².
21. 21.A room is 4 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
22. 22.The diagonals of a rhombus are 14 cm and 6 cm. What is its area (in square cm)?
23. 23.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
24. 24.The sum of three consecutive whole numbers is 75. What is the smallest of them?
25. 25.A father is 30 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
26. 26.What is 13³? =
27. 27.The diagonals of a rhombus are 26 cm and 28 cm. What is its area (in square cm)?
28. 28.Which of these is a perfect square? (a) 528 (b) 490 (c) 484
29. 29.How many whole numbers lie between 46² and 47²?
30. 30.What is the smallest whole number by which 72 must be divided to get a perfect cube?
31. 31.What is the value of 2⁻⁵ (as a fraction)? =
32. 32.What is the value of 6²? =
33. 33.What amount will ₹7600 grow to in 1 year at 4% per year compound interest (in ₹)?
34. 34.What is 2³? =
35. 35.A cuboid is 13 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
36. 36.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
37. 37.A town has 18900 people. The population grows by 25% every year. What will the population be after 1 year?
38. 38.The diagonals of a rhombus are 6 cm and 3 cm. What is its area (in square cm)?
39. 39.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?

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