Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 79 · 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 the value of 5¹ × 5⁻³? =
2. 2.A cuboid is 14 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
3. 3.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
4. 4.The sum of two consecutive whole numbers is 95. What is the largest of them?
5. 5.Solve: p/3 + p/5 = 24. What is p?
6. 6.Find the compound interest on ₹33800 at 25% per year for 1 year, compounded every year (in ₹).
7. 7.Use (a + b)² = a² + 2ab + b² to find 38².
8. 8.What is 5³? =
9. 9.How many whole numbers lie between 30² and 31²?
10. 10.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
11. 11.Use (a + b)² = a² + 2ab + b² to find 72².
12. 12.A father is 27 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
13. 13.What is the smallest whole number by which 56 must be divided to get a perfect square?
14. 14.Use (a − b)² = a² − 2ab + b² to find 35².
15. 15.Find the compound interest on ₹59900 at 4% per year for 1 year, compounded every year (in ₹).
16. 16.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
17. 17.Which of these is a perfect cube? (a) 1517 (b) 1331 (c) 1432
18. 18.Write 57,00,000 in standard form as 5.7 × 10ⁿ. What is n?
19. 19.What is the value of 2⁴? =
20. 20.Use (a + b)(a − b) = a² − b² to find 37 × 23.
21. 21.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
22. 22.A father is 20 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?
23. 23.Find the compound interest on ₹48000 at 15% per year for 3 years, compounded every year (in ₹).
24. 24.A father is 16 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
25. 25.A cuboid is 10 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
26. 26.A town has 53500 people. The population grows by 20% every year. What will the population be after 3 years?
27. 27.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
28. 28.Use (a − b)² = a² − 2ab + b² to find 12².
29. 29.What is the value of 7⁴? =
30. 30.What is the value of 6⁻¹ (as a fraction)? =
31. 31.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
32. 32.A cuboid is 3 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
33. 33.A town has 16500 people. The population grows by 20% every year. What will the population be after 3 years?
34. 34.Solve: 6(y − 1) = 4y + 26. What is y?
35. 35.Use (a + b)(a − b) = a² − b² to find 32 × 28.
36. 36.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
38. 38.What is 62²? =
39. 39.Use (a + b)(a − b) = a² − b² to find 29 × 11.
40. 40.What is the value of 2⁻¹ (as a fraction)? =

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