Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 653 · 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 ∛27? =
2. 2.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
3. 3.What amount will ₹52400 grow to in 1 year at 4% per year compound interest (in ₹)?
4. 4.A trapezium has an area of 169 square cm. Its parallel sides are 21 cm and 5 cm. What is the distance between them (in cm)?
5. 5.What is the smallest whole number by which 208 must be divided to get a perfect square?
6. 6.Use a² − b² = (a + b)(a − b) to find 50² − 49².
7. 7.What is the smallest whole number by which 320 must be divided to get a perfect cube?
8. 8.6.1 × 10⁷ =
9. 9.What is √1089? =
10. 10.A trapezium has parallel sides of 29 cm and 23 cm, and the distance between them is 20 cm. What is its area (in square cm)?
11. 11.Find the value of x² − y² when x = 10 and y = 2.
12. 12.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
13. 13.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
14. 14.Solve: 5(x − 2) = 3x + 16. What is x?
15. 15.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
16. 16.What is 11³? =
17. 17.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
18. 18.A trapezium has parallel sides of 15 cm and 8 cm, and the distance between them is 18 cm. What is its area (in square cm)?
19. 19.A cuboid is 15 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
20. 20.Find the compound interest on ₹16500 at 25% per year for 1 year, compounded every year (in ₹).
21. 21.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
22. 22.If a + b = 3 and ab = 2, what is a² + b²?
23. 23.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
24. 24.Write 1.5 × 10⁻¹ as a decimal. =
25. 25.If a − b = 1 and ab = 6, what is a² + b²?
26. 26.What is √3136? =
27. 27.Use a² − b² = (a + b)(a − b) to find 70² − 38².
28. 28.Which of these is a perfect cube? (a) 729 (b) 771 (c) 853
29. 29.Write 4¹² ÷ 4⁴ as a single power 4ⁿ. What is n?
30. 30.Which of these is a perfect square? (a) 961 (b) 1009 (c) 970
31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
32. 32.A town has 38000 people. The population grows by 25% every year. What will the population be after 2 years?
33. 33.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
34. 34.What is the value of 4³? =
35. 35.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
36. 36.If a + b = 18 and ab = 72, what is a² + b²?
37. 37.A square garden has an area of 2116 square m. How long is each side (in m)?
38. 38.What is the value of 8³? =
39. 39.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
40. 40.The sum of two consecutive whole numbers is 13. What is the largest of them?

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