Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 478 · 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.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
2. 2.What amount will ₹44000 grow to in 1 year at 10% per year compound interest (in ₹)?
3. 3.A square garden has an area of 2209 square m. How long is each side (in m)?
4. 4.A trapezium has an area of 95 square cm. Its parallel sides are 15 cm and 23 cm. What is the distance between them (in cm)?
5. 5.Write 7¹⁰ ÷ 7⁵ as a single power 7ⁿ. What is n?
6. 6.What is 6³? =
7. 7.What is the difference between the compound interest and the simple interest on ₹59800 at 10% per year for 2 years (in ₹)?
8. 8.A father is 42 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
9. 9.Use (a − b)² = a² − 2ab + b² to find 88².
10. 10.Use (a + b)² = a² + 2ab + b² to find 43².
11. 11.What is 15³? =
12. 12.Write 8⁷ ÷ 8⁴ as a single power 8ⁿ. What is n?
13. 13.A trapezium has an area of 306 square cm. Its parallel sides are 30 cm and 21 cm. What is the distance between them (in cm)?
14. 14.Solve: 3(n − 1) = 2n + 12. What is n?
15. 15.The diagonals of a rhombus are 6 cm and 28 cm. What is its area (in square cm)?
16. 16.What is the smallest whole number by which 1053 must be divided to get a perfect square?
17. 17.Use (a + b)² = a² + 2ab + b² to find 24².
18. 18.What is ∛64? =
19. 19.How many whole numbers lie between 34² and 35²?
20. 20.What is 8³? =
21. 21.A trapezium has an area of 86 square cm. Its parallel sides are 20 cm and 23 cm. What is the distance between them (in cm)?
22. 22.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
23. 23.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
24. 24.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
25. 25.If a + b = 9 and ab = 18, what is a² + b²?
26. 26.A scooter is worth ₹9200. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
27. 27.The diagonals of a rhombus are 18 cm and 9 cm. What is its area (in square cm)?
28. 28.What amount will ₹17400 grow to in 2 years at 10% per year compound interest (in ₹)?
29. 29.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
30. 30.Find the compound interest on ₹8000 at 25% per year for 3 years, compounded every year (in ₹).
31. 31.Write (9³)³ as a single power 9ⁿ. What is n?
32. 32.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
33. 33.Use a² − b² = (a + b)(a − b) to find 47² − 5².
34. 34.Solve: t/3 + t/2 = 20. What is t?
35. 35.What is √8649? =
36. 36.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
37. 37.Find the value of x² + 2xy + y² when x = 9 and y = 1.
38. 38.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
39. 39.The sum of four consecutive whole numbers is 106. What is the smallest of them?
40. 40.Use (a − b)² = a² − 2ab + b² to find 25².

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