Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 743 · 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 9³? =
2. 2.A square garden has an area of 3025 square m. How long is each side (in m)?
3. 3.Solve: 3t + 16 = t + 28. What is t?
4. 4.Solve: 3t + 5 = t + 29. What is t?
5. 5.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
6. 6.What is ∛343? =
7. 7.What is 86²? =
8. 8.Solve: p/2 + p/6 = 20. What is p?
9. 9.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.What is the difference between the compound interest and the simple interest on ₹38800 at 5% per year for 2 years (in ₹)?
11. 11.The diagonals of a rhombus are 4 cm and 6 cm. What is its area (in square cm)?
12. 12.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
13. 13.What is 90²? =
14. 14.A father is 6 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
15. 15.Write 2⁷ × 2² as a single power 2ⁿ. What is n?
16. 16.A cuboid is 8 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
17. 17.The diagonals of a rhombus are 24 cm and 9 cm. What is its area (in square cm)?
18. 18.A cuboid is 7 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
19. 19.Find the compound interest on ₹3700 at 20% per year for 2 years, compounded every year (in ₹).
20. 20.What is the value of 2⁹? =
21. 21.What is the value of (1/5)⁻²? =
22. 22.What is the difference between the compound interest and the simple interest on ₹52000 at 25% per year for 2 years (in ₹)?
23. 23.Write 6.9 × 10⁻¹ as a decimal. =
24. 24.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
25. 25.A cuboid is 5 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
26. 26.The sum of four consecutive whole numbers is 86. What is the largest of them?
27. 27.A father is 8 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?
28. 28.How many whole numbers lie between 43² and 44²?
29. 29.A town has 27500 people. The population grows by 4% every year. What will the population be after 2 years?
30. 30.A room is 8 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
32. 32.A cuboid is 15 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has parallel sides of 11 cm and 3 cm, and the distance between them is 9 cm. What is its area (in square cm)?
34. 34.Write 4,300 in standard form as 4.3 × 10ⁿ. What is n?
35. 35.Use (a + b)(a − b) = a² − b² to find 31 × 29.
36. 36.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
37. 37.Solve: 7t + 11 = 2t + 46. What is t?
38. 38.A father is 40 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
39. 39.What is the value of 4⁻⁴ (as a fraction)? =
40. 40.Use a² − b² = (a + b)(a − b) to find 98² − 35².

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