Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 536 · 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 cuboid is 4 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
2. 2.What is the difference between the compound interest and the simple interest on ₹36000 at 15% per year for 2 years (in ₹)?
3. 3.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
4. 4.What is the value of 3⁻⁴ (as a fraction)? =
5. 5.Use (a − b)² = a² − 2ab + b² to find 38².
6. 6.Write 2.3 × 10⁻² as a decimal. =
7. 7.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
8. 8.What is the smallest whole number by which 54 must be divided to get a perfect square?
9. 9.What is the value of 2³? =
10. 10.What is √7056? =
11. 11.The sum of three consecutive whole numbers is 60. What is the smallest of them?
12. 12.What is ∛13824? =
13. 13.What is 6³? =
14. 14.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
15. 15.Find the value of x² − 2xy + y² when x = 15 and y = 8.
16. 16.If a − b = 7 and ab = 18, what is a² + b²?
17. 17.The diagonals of a rhombus are 28 cm and 29 cm. What is its area (in square cm)?
18. 18.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
19. 19.Which of these is a perfect square? (a) 271 (b) 259 (c) 256
20. 20.What is the value of 2⁴ × 2⁻⁴? =
21. 21.What is the value of 9³? =
22. 22.Solve: p/5 + p/3 = 16. What is p?
23. 23.A town has 48200 people. The population grows by 20% every year. What will the population be after 2 years?
24. 24.Solve: y/2 + y/3 = 5. What is y?
25. 25.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
26. 26.The diagonals of a rhombus are 18 cm and 22 cm. What is its area (in square cm)?
27. 27.The diagonals of a rhombus are 30 cm and 3 cm. What is its area (in square cm)?
28. 28.What is ∛8000? =
29. 29.The diagonals of a rhombus are 14 cm and 30 cm. What is its area (in square cm)?
30. 30.What is the smallest whole number by which 40 must be multiplied to get a perfect square?
31. 31.Solve: 5t + 17 = 4t + 18. What is t?
32. 32.Use (a − b)² = a² − 2ab + b² to find 11².
33. 33.What is the smallest whole number by which 16 must be divided to get a perfect cube?
34. 34.Find the compound interest on ₹45400 at 8% per year for 1 year, compounded every year (in ₹).
35. 35.A town has 46000 people. The population grows by 10% every year. What will the population be after 3 years?
36. 36.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
37. 37.What is 7³? =
38. 38.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
39. 39.Which of these is a perfect cube? (a) 930 (b) 887 (c) 729
40. 40.A trapezium has an area of 16 square cm. Its parallel sides are 6 cm and 10 cm. What is the distance between them (in cm)?

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