Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 737 · 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.How many whole numbers lie between 12² and 13²?
2. 2.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
3. 3.What is the smallest whole number by which 320 must be divided to get a perfect cube?
4. 4.What amount will ₹44400 grow to in 2 years at 5% per year compound interest (in ₹)?
5. 5.Find the value of x² − y² when x = 8 and y = 2.
6. 6.The sum of two consecutive whole numbers is 37. What is the smallest of them?
7. 7.Which of these is a perfect square? (a) 1225 (b) 1279 (c) 1267
8. 8.Use (a − b)² = a² − 2ab + b² to find 49².
9. 9.Which of these is a perfect cube? (a) 2902 (b) 3215 (c) 2744
10. 10.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
11. 11.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
12. 12.A square garden has an area of 1444 square m. How long is each side (in m)?
13. 13.Use (a − b)² = a² − 2ab + b² to find 85².
14. 14.How many whole numbers lie between 33² and 34²?
15. 15.Find the compound interest on ₹52500 at 10% per year for 1 year, compounded every year (in ₹).
16. 16.The sum of three consecutive whole numbers is 129. What is the smallest of them?
17. 17.What is the value of 5⁻³ (as a fraction)? =
18. 18.Solve: 3x + 4 = x + 8. What is x?
19. 19.What amount will ₹17700 grow to in 1 year at 12% per year compound interest (in ₹)?
20. 20.What is the value of 8⁴? =
21. 21.What is 6³? =
22. 22.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
23. 23.Find the compound interest on ₹39000 at 10% per year for 3 years, compounded every year (in ₹).
24. 24.A father is 15 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
25. 25.What is the difference between the compound interest and the simple interest on ₹12000 at 5% per year for 2 years (in ₹)?
26. 26.Find the compound interest on ₹40500 at 25% per year for 1 year, compounded every year (in ₹).
27. 27.A trapezium has an area of 84 square cm. Its parallel sides are 18 cm and 24 cm. What is the distance between them (in cm)?
28. 28.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
29. 29.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
30. 30.How many whole numbers lie between 29² and 30²?
31. 31.Find the compound interest on ₹2200 at 12% per year for 1 year, compounded every year (in ₹).
32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
33. 33.What is the value of 10⁴ × 10⁻⁵? =
34. 34.What is ∛125? =
35. 35.Find the compound interest on ₹25500 at 20% per year for 1 year, compounded every year (in ₹).
36. 36.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
37. 37.A trapezium has parallel sides of 15 cm and 22 cm, and the distance between them is 2 cm. What is its area (in square cm)?
38. 38.The sum of two consecutive whole numbers is 111. What is the largest of them?
39. 39.A trapezium has parallel sides of 12 cm and 27 cm, and the distance between them is 20 cm. What is its area (in square cm)?
40. 40.Find the value of x² − 2xy + y² when x = 8 and y = 3.

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