Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 926 · 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 value of 10⁴? =
2. 2.What is the difference between the compound interest and the simple interest on ₹4800 at 15% per year for 2 years (in ₹)?
3. 3.What is √8464? =
4. 4.What is the value of 5⁻⁴ (as a fraction)? =
5. 5.What is the value of 2¹ × 2⁻³? =
6. 6.Solve: 5(y − 3) = 2y + 18. What is y?
7. 7.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
8. 8.What amount will ₹5000 grow to in 2 years at 12% per year compound interest (in ₹)?
9. 9.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
10. 10.8 × 10⁶ =
11. 11.What is √9801? =
12. 12.Which of these is a perfect square? (a) 1090 (b) 1128 (c) 1089
13. 13.Which of these is a perfect square? (a) 564 (b) 540 (c) 529
14. 14.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
15. 15.Write 8³ × 8³ as a single power 8ⁿ. What is n?
16. 16.Find the value of x² + 2xy + y² when x = 5 and y = 1.
17. 17.Write 7¹² ÷ 7⁴ as a single power 7ⁿ. What is n?
18. 18.A trapezium has an area of 279 square cm. Its parallel sides are 26 cm and 5 cm. What is the distance between them (in cm)?
19. 19.If a + b = 13 and ab = 36, what is a² + b²?
20. 20.Solve: n/4 + n/2 = 24. What is n?
21. 21.Solve: 4(x − 1) = x + 11. What is x?
22. 22.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
23. 23.What is √6084? =
24. 24.What is the value of 2¹⁶? =
25. 25.A scooter is worth ₹29000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
26. 26.Use (a + b)(a − b) = a² − b² to find 39 × 21.
27. 27.Find the value of x² − 2xy + y² when x = 5 and y = 1.
28. 28.Use a² − b² = (a + b)(a − b) to find 94² − 16².
29. 29.What is the value of 2² × 2⁻²? =
30. 30.Solve: p/4 + p/2 = 12. What is p?
31. 31.The sum of two consecutive whole numbers is 17. What is the smallest of them?
32. 32.A trapezium has an area of 290 square cm. Its parallel sides are 27 cm and 2 cm. What is the distance between them (in cm)?
33. 33.What is the value of 2¹ × 2⁻²? =
34. 34.What is the smallest whole number by which 50 must be divided to get a perfect square?
35. 35.Use (a − b)² = a² − 2ab + b² to find 85².
36. 36.What is √400? =
37. 37.What is ∛12167? =
38. 38.A scooter is worth ₹46800. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
39. 39.A trapezium has an area of 217 square cm. Its parallel sides are 6 cm and 25 cm. What is the distance between them (in cm)?
40. 40.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?

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