Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 701 · 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.What is the difference between the compound interest and the simple interest on ₹26200 at 10% per year for 2 years (in ₹)?
2. 2.A trapezium has an area of 165 square cm. Its parallel sides are 29 cm and 4 cm. What is the distance between them (in cm)?
3. 3.Solve: p/2 + p/4 = 15. What is p?
4. 4.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
5. 5.A scooter is worth ₹55200. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
6. 6.The sum of three consecutive whole numbers is 18. What is the largest of them?
7. 7.7.9 × 10³ =
8. 8.The diagonals of a rhombus are 26 cm and 13 cm. What is its area (in square cm)?
9. 9.Write 9.8 × 10⁻² as a decimal. =
10. 10.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
11. 11.If a + b = 15 and ab = 56, what is a² + b²?
12. 12.Which of these is a perfect square? (a) 144 (b) 168 (c) 165
13. 13.Find the compound interest on ₹3400 at 8% per year for 1 year, compounded every year (in ₹).
14. 14.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
15. 15.Use (a − b)² = a² − 2ab + b² to find 23².
16. 16.Use (a + b)(a − b) = a² − b² to find 81 × 79.
17. 17.What is the value of 3³ × 3⁻²? =
18. 18.What amount will ₹14400 grow to in 2 years at 25% per year compound interest (in ₹)?
19. 19.What is the value of 3⁵ × 3⁻¹? =
20. 20.A town has 50000 people. The population grows by 4% every year. What will the population be after 2 years?
21. 21.What is the difference between the compound interest and the simple interest on ₹9200 at 10% per year for 2 years (in ₹)?
22. 22.A trapezium has parallel sides of 26 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
23. 23.Find the value of x² + 2xy + y² when x = 13 and y = 1.
24. 24.What is the value of 10⁻² (as a fraction)? =
25. 25.Which of these is a perfect square? (a) 324 (b) 338 (c) 344
26. 26.Write 6⁶ ÷ 6² as a single power 6ⁿ. What is n?
27. 27.A scooter is worth ₹24800. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
28. 28.What is 79²? =
29. 29.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
30. 30.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
31. 31.If a + b = 13 and ab = 22, what is a² + b²?
32. 32.Solve: 5(y − 5) = 2y + 5. What is y?
33. 33.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
34. 34.Use (a + b)(a − b) = a² − b² to find 45 × 35.
35. 35.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
36. 36.Write 9⁶ × 9⁴ as a single power 9ⁿ. What is n?
37. 37.A cuboid is 15 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
38. 38.Find the value of x² − 2xy + y² when x = 9 and y = 4.
39. 39.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
40. 40.What amount will ₹44000 grow to in 3 years at 10% per year compound interest (in ₹)?

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