Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 118 · 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 ₹8000 at 25% per year for 1 year, compounded every year (in ₹).
2. 2.Solve: n/2 + n/3 = 30. What is n?
3. 3.What is the difference between the compound interest and the simple interest on ₹50400 at 5% per year for 2 years (in ₹)?
4. 4.What is ∛6859? =
5. 5.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
6. 6.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
7. 7.If a − b = 4 and ab = 32, what is a² + b²?
8. 8.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
9. 9.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
10. 10.Use (a + b)(a − b) = a² − b² to find 28 × 12.
11. 11.What amount will ₹15500 grow to in 1 year at 12% per year compound interest (in ₹)?
12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
13. 13.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
14. 14.A square garden has an area of 169 square m. How long is each side (in m)?
15. 15.What is ∛5832? =
16. 16.What is the value of 3² × 3⁻⁶? =
17. 17.Solve: p/6 + p/2 = 20. What is p?
18. 18.The diagonals of a rhombus are 30 cm and 6 cm. What is its area (in square cm)?
19. 19.A father is 36 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?
20. 20.Find the compound interest on ₹27500 at 12% per year for 2 years, compounded every year (in ₹).
21. 21.A scooter is worth ₹32000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
22. 22.Use (a + b)(a − b) = a² − b² to find 71 × 69.
23. 23.Solve: 6x + 2 = 5x + 7. What is x?
24. 24.If a + b = 3 and ab = 2, what is a² + b²?
25. 25.Use (a + b)(a − b) = a² − b² to find 93 × 87.
26. 26.What is 4³? =
27. 27.A square garden has an area of 324 square m. How long is each side (in m)?
28. 28.Solve: 3t + 13 = t + 23. What is t?
29. 29.Use (a − b)² = a² − 2ab + b² to find 58².
30. 30.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
31. 31.What is the value of 3⁷? =
32. 32.A town has 10700 people. The population grows by 25% every year. What will the population be after 1 year?
33. 33.Which of these is a perfect square? (a) 822 (b) 788 (c) 784
34. 34.A square garden has an area of 144 square m. How long is each side (in m)?
35. 35.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
36. 36.The sum of four consecutive whole numbers is 94. What is the smallest of them?
37. 37.Solve: 4y + 8 = 2y + 24. What is y?
38. 38.What is 18³? =
39. 39.What is the difference between the compound interest and the simple interest on ₹41600 at 25% per year for 2 years (in ₹)?
40. 40.A cuboid is 12 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?

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