Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 314 · 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 length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
2. 2.What is the smallest whole number by which 250 must be divided to get a perfect cube?
3. 3.What is √2116? =
4. 4.What is the smallest whole number by which 12 must be divided to get a perfect square?
5. 5.Find the compound interest on ₹38000 at 10% per year for 3 years, compounded every year (in ₹).
6. 6.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
7. 7.What amount will ₹12200 grow to in 1 year at 5% per year compound interest (in ₹)?
8. 8.Solve: 4(x − 2) = 3x + 8. What is x?
9. 9.Find the compound interest on ₹2400 at 4% per year for 1 year, compounded every year (in ₹).
10. 10.What is 13²? =
11. 11.Solve: 3(n − 1) = 2n + 11. What is n?
12. 12.Write 5⁶ × 5³ as a single power 5ⁿ. What is n?
13. 13.What is the value of 5⁻³ (as a fraction)? =
14. 14.Find the value of x² − 2xy + y² when x = 15 and y = 8.
15. 15.8.5 × 10³ =
16. 16.What is 40²? =
17. 17.A scooter is worth ₹4600. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
18. 18.A trapezium has parallel sides of 5 cm and 22 cm, and the distance between them is 8 cm. What is its area (in square cm)?
19. 19.A square garden has an area of 2209 square m. How long is each side (in m)?
20. 20.What is 19³? =
21. 21.Find the compound interest on ₹60000 at 8% per year for 2 years, compounded every year (in ₹).
22. 22.Which of these is a perfect cube? (a) 2536 (b) 2597 (c) 2197
23. 23.The sum of three consecutive whole numbers is 57. What is the smallest of them?
24. 24.Write 9.9 × 10⁻¹ as a decimal. =
25. 25.Solve: 4(p − 1) = 3p + 6. What is p?
26. 26.If a + b = 15 and ab = 36, what is a² + b²?
27. 27.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
28. 28.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
29. 29.Use (a + b)(a − b) = a² − b² to find 69 × 51.
30. 30.Write 9.4 × 10⁻² as a decimal. =
31. 31.What amount will ₹46600 grow to in 2 years at 20% per year compound interest (in ₹)?
32. 32.Find the compound interest on ₹27500 at 12% per year for 2 years, compounded every year (in ₹).
33. 33.A trapezium has parallel sides of 29 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
34. 34.A town has 8300 people. The population grows by 4% every year. What will the population be after 1 year?
35. 35.Find the compound interest on ₹40000 at 25% per year for 3 years, compounded every year (in ₹).
36. 36.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
37. 37.Solve: 3(t − 4) = t + 26. What is t?
38. 38.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
39. 39.How many whole numbers lie between 48² and 49²?
40. 40.Use (a + b)² = a² + 2ab + b² to find 22².

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