Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 159 · 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.Use a² − b² = (a + b)(a − b) to find 72² − 28².
2. 2.Solve: 4(m − 1) = m + 17. What is m?
3. 3.Use (a − b)² = a² − 2ab + b² to find 47².
4. 4.What is the difference between the compound interest and the simple interest on ₹22500 at 8% per year for 2 years (in ₹)?
5. 5.What amount will ₹28000 grow to in 3 years at 10% per year compound interest (in ₹)?
6. 6.What is the value of 4⁷? =
7. 7.What is the value of 5²? =
8. 8.Which of these is a perfect cube? (a) 1169 (b) 1000 (c) 1184
9. 9.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
10. 10.A trapezium has parallel sides of 18 cm and 10 cm, and the distance between them is 11 cm. What is its area (in square cm)?
11. 11.Find the value of x² − y² when x = 14 and y = 3.
12. 12.A trapezium has parallel sides of 22 cm and 17 cm, and the distance between them is 8 cm. What is its area (in square cm)?
13. 13.A town has 16000 people. The population grows by 5% every year. What will the population be after 3 years?
14. 14.A town has 5000 people. The population grows by 12% every year. What will the population be after 2 years?
15. 15.A town has 57500 people. The population grows by 20% every year. What will the population be after 2 years?
16. 16.What is the value of 5⁶ × 5⁻⁵? =
17. 17.Write 860 in standard form as 8.6 × 10ⁿ. What is n?
18. 18.What is 14³? =
19. 19.How many whole numbers lie between 47² and 48²?
20. 20.Use (a + b)² = a² + 2ab + b² to find 95².
21. 21.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
22. 22.What amount will ₹57600 grow to in 3 years at 25% per year compound interest (in ₹)?
23. 23.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
24. 24.What amount will ₹10900 grow to in 1 year at 4% per year compound interest (in ₹)?
25. 25.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
26. 26.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
27. 27.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
28. 28.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
29. 29.Solve: 7x + 16 = 6x + 19. What is x?
30. 30.Find the compound interest on ₹17500 at 4% per year for 2 years, compounded every year (in ₹).
31. 31.What amount will ₹5400 grow to in 2 years at 10% per year compound interest (in ₹)?
32. 32.The diagonals of a rhombus are 30 cm and 28 cm. What is its area (in square cm)?
33. 33.How many whole numbers lie between 7² and 8²?
34. 34.What is the value of 5³ × 5⁻²? =
35. 35.Use a² − b² = (a + b)(a − b) to find 30² − 16².
36. 36.A scooter is worth ₹42800. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
37. 37.A trapezium has an area of 200 square cm. Its parallel sides are 4 cm and 21 cm. What is the distance between them (in cm)?
38. 38.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
39. 39.Write 3.6 × 10⁻¹ as a decimal. =
40. 40.Use (a + b)² = a² + 2ab + b² to find 49².

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