Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 650 · 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.The sum of two consecutive whole numbers is 23. What is the smallest of them?
2. 2.Which of these is a perfect square? (a) 152 (b) 151 (c) 144
3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
4. 4.Find the value of x² − 2xy + y² when x = 15 and y = 7.
5. 5.A trapezium has an area of 189 square cm. Its parallel sides are 16 cm and 5 cm. What is the distance between them (in cm)?
6. 6.Use a² − b² = (a + b)(a − b) to find 89² − 19².
7. 7.9.6 × 10⁴ =
8. 8.What is 91²? =
9. 9.Solve: 3t + 5 = t + 7. What is t?
10. 10.Write 7⁹ ÷ 7⁶ as a single power 7ⁿ. What is n?
11. 11.Use (a − b)² = a² − 2ab + b² to find 19².
12. 12.What is the value of 3⁵ × 3⁻⁶? =
13. 13.What is the value of (3/5)⁻¹? =
14. 14.What is 51²? =
15. 15.What is the value of 2³ × 2⁻¹? =
16. 16.What is the difference between the compound interest and the simple interest on ₹30000 at 15% per year for 2 years (in ₹)?
17. 17.What is the value of 6⁶? =
18. 18.A town has 56000 people. The population grows by 10% every year. What will the population be after 3 years?
19. 19.Which of these is a perfect cube? (a) 345 (b) 343 (c) 481
20. 20.What amount will ₹56000 grow to in 1 year at 25% per year compound interest (in ₹)?
21. 21.The sum of two consecutive whole numbers is 57. What is the smallest of them?
22. 22.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
23. 23.A cuboid is 10 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
24. 24.Find the compound interest on ₹23000 at 8% per year for 1 year, compounded every year (in ₹).
25. 25.The length of a rectangle is 5 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
26. 26.What is ∛4913? =
27. 27.What is the difference between the compound interest and the simple interest on ₹12400 at 15% per year for 2 years (in ₹)?
28. 28.Solve: 3(n − 3) = n + 7. What is n?
29. 29.A square garden has an area of 81 square m. How long is each side (in m)?
30. 30.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
31. 31.A town has 46500 people. The population grows by 10% every year. What will the population be after 1 year?
32. 32.Use a² − b² = (a + b)(a − b) to find 65² − 54².
33. 33.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
35. 35.What is the value of 6⁵? =
36. 36.How many whole numbers lie between 32² and 33²?
37. 37.Write (2⁸)⁸ as a single power 2ⁿ. What is n?
38. 38.If a − b = 2 and ab = 3, what is a² + b²?
39. 39.A father is 10 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
40. 40.A trapezium has parallel sides of 10 cm and 24 cm, and the distance between them is 11 cm. What is its area (in square cm)?

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