Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 726 · 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.Write 8⁹ ÷ 8⁴ as a single power 8ⁿ. What is n?
2. 2.A room is 9 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
3. 3.What is the difference between the compound interest and the simple interest on ₹47500 at 8% per year for 2 years (in ₹)?
4. 4.A square garden has an area of 484 square m. How long is each side (in m)?
5. 5.What is the smallest whole number by which 81 must be divided to get a perfect cube?
6. 6.Write 6.6 × 10⁻⁴ as a decimal. =
7. 7.What is √1521? =
8. 8.A square garden has an area of 784 square m. How long is each side (in m)?
9. 9.What amount will ₹27200 grow to in 2 years at 15% per year compound interest (in ₹)?
10. 10.A father is 30 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
11. 11.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
12. 12.Solve: n/6 + n/5 = 33. What is n?
13. 13.Which of these is a perfect cube? (a) 3289 (b) 2744 (c) 2786
14. 14.If a − b = 1 and ab = 30, what is a² + b²?
15. 15.The sum of four consecutive whole numbers is 174. What is the largest of them?
16. 16.What is 9³? =
17. 17.What is 13³? =
18. 18.What is the difference between the compound interest and the simple interest on ₹22800 at 20% per year for 2 years (in ₹)?
19. 19.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
20. 20.What is 16³? =
21. 21.Use (a + b)(a − b) = a² − b² to find 89 × 71.
22. 22.If a + b = 15 and ab = 56, what is a² + b²?
23. 23.Solve: t/2 + t/6 = 8. What is t?
24. 24.A scooter is worth ₹45000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
25. 25.What is the value of 8²? =
26. 26.The diagonals of a rhombus are 22 cm and 11 cm. What is its area (in square cm)?
27. 27.What is 20²? =
28. 28.A cuboid is 5 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
29. 29.Solve: y/4 + y/5 = 27. What is y?
30. 30.Write 3¹⁴ ÷ 3⁸ as a single power 3ⁿ. What is n?
31. 31.Find the value of x² − 2xy + y² when x = 6 and y = 4.
32. 32.Find the compound interest on ₹42300 at 20% per year for 2 years, compounded every year (in ₹).
33. 33.What is the value of (2/3)⁻¹? =
34. 34.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
35. 35.Write 1,80,000 in standard form as 1.8 × 10ⁿ. What is n?
36. 36.What is the value of (6/7)⁻²? =
37. 37.What amount will ₹30100 grow to in 1 year at 4% per year compound interest (in ₹)?
38. 38.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
39. 39.Solve: 3m + 1 = m + 11. What is m?
40. 40.What is the difference between the compound interest and the simple interest on ₹34400 at 15% per year for 2 years (in ₹)?

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