Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 566 · 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 ₹3200 at 25% per year for 3 years, compounded every year (in ₹).
2. 2.The length of a rectangle is 15 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
3. 3.Write 4⁷ × 4⁷ as a single power 4ⁿ. What is n?
4. 4.A square garden has an area of 1936 square m. How long is each side (in m)?
5. 5.A father is 18 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?
6. 6.Write 64,000 in standard form as 6.4 × 10ⁿ. What is n?
7. 7.Use (a + b)(a − b) = a² − b² to find 35 × 25.
8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
9. 9.Write 6.5 × 10⁻² as a decimal. =
10. 10.Write 8¹³ ÷ 8⁹ as a single power 8ⁿ. What is n?
11. 11.What is the difference between the compound interest and the simple interest on ₹45000 at 12% per year for 2 years (in ₹)?
12. 12.What is the value of (1/5)⁻¹? =
13. 13.A father is 21 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?
14. 14.What is √9604? =
15. 15.What is the smallest whole number by which 686 must be multiplied to get a perfect square?
16. 16.Use a² − b² = (a + b)(a − b) to find 71² − 7².
17. 17.Find the compound interest on ₹22300 at 20% per year for 2 years, compounded every year (in ₹).
18. 18.Which of these is a perfect square? (a) 1075 (b) 1025 (c) 1024
19. 19.What amount will ₹27500 grow to in 2 years at 12% per year compound interest (in ₹)?
20. 20.The sum of three consecutive whole numbers is 150. What is the smallest of them?
21. 21.Use (a + b)² = a² + 2ab + b² to find 93².
22. 22.What is the value of 8²? =
23. 23.What is the value of 5³? =
24. 24.What is the value of 8⁴? =
25. 25.What amount will ₹52000 grow to in 2 years at 15% per year compound interest (in ₹)?
26. 26.If a − b = 11 and ab = 12, what is a² + b²?
27. 27.A room is 4 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
28. 28.Solve: 5(y − 1) = y + 39. What is y?
29. 29.Which of these is a perfect square? (a) 928 (b) 902 (c) 900
30. 30.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
31. 31.What is the smallest whole number by which 56 must be divided to get a perfect square?
32. 32.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
33. 33.The diagonals of a rhombus are 16 cm and 16 cm. What is its area (in square cm)?
34. 34.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
35. 35.Write 7⁸ ÷ 7⁴ as a single power 7ⁿ. What is n?
36. 36.A cuboid is 7 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
37. 37.What is 21²? =
38. 38.The diagonals of a rhombus are 12 cm and 26 cm. What is its area (in square cm)?
39. 39.The sum of two consecutive whole numbers is 105. What is the largest of them?
40. 40.Which of these is a perfect square? (a) 1089 (b) 1121 (c) 1124

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