Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 607 · 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.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
2. 2.What is the smallest whole number by which 704 must be multiplied to get a perfect square?
3. 3.What is 78²? =
4. 4.Use (a − b)² = a² − 2ab + b² to find 21².
5. 5.Which of these is a perfect cube? (a) 1212 (b) 1008 (c) 1000
6. 6.A square garden has an area of 576 square m. How long is each side (in m)?
7. 7.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
8. 8.Write (3²)⁴ as a single power 3ⁿ. What is n?
9. 9.A father is 24 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?
10. 10.A cuboid is 3 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
11. 11.8.6 × 10⁵ =
12. 12.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
13. 13.What is 95²? =
14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
15. 15.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
16. 16.If a − b = 2 and ab = 24, what is a² + b²?
17. 17.Use (a + b)(a − b) = a² − b² to find 73 × 67.
18. 18.What amount will ₹25400 grow to in 1 year at 12% per year compound interest (in ₹)?
19. 19.The length of a rectangle is 2 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
20. 20.Use (a + b)² = a² + 2ab + b² to find 77².
21. 21.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
22. 22.What amount will ₹27500 grow to in 2 years at 4% per year compound interest (in ₹)?
23. 23.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
24. 24.What is ∛15625? =
25. 25.What is 18³? =
26. 26.What is the value of 2⁶ × 2⁻³? =
27. 27.A town has 32000 people. The population grows by 5% every year. What will the population be after 3 years?
28. 28.What is the smallest whole number by which 343 must be divided to get a perfect square?
29. 29.A square garden has an area of 1936 square m. How long is each side (in m)?
30. 30.Use (a + b)² = a² + 2ab + b² to find 12².
31. 31.If a − b = 3 and ab = 70, what is a² + b²?
32. 32.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
33. 33.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
34. 34.Which of these is a perfect square? (a) 1024 (b) 1070 (c) 1086
35. 35.Solve: 4(t − 1) = 2t + 24. What is t?
36. 36.Find the compound interest on ₹24400 at 20% per year for 1 year, compounded every year (in ₹).
37. 37.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
38. 38.What is the value of (5/9)⁻¹? =
39. 39.Use (a + b)² = a² + 2ab + b² to find 108².
40. 40.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?

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