Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 47 · 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 difference between the compound interest and the simple interest on ₹26000 at 5% per year for 2 years (in ₹)?
2. 2.Which of these is a perfect square? (a) 825 (b) 784 (c) 812
3. 3.Which of these is a perfect cube? (a) 125 (b) 136 (c) 189
4. 4.Write 2⁹ ÷ 2³ as a single power 2ⁿ. What is n?
5. 5.What is ∛343? =
6. 6.What is 35²? =
7. 7.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
8. 8.What is 21²? =
9. 9.3 × 10⁶ =
10. 10.A scooter is worth ₹26800. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
11. 11.What is the smallest whole number by which 126 must be divided to get a perfect square?
12. 12.If a + b = 11 and ab = 30, what is a² + b²?
13. 13.Write 7.4 × 10⁻³ as a decimal. =
14. 14.7 × 10⁶ =
15. 15.A trapezium has parallel sides of 23 cm and 6 cm, and the distance between them is 4 cm. What is its area (in square cm)?
16. 16.Find the value of x² − y² when x = 7 and y = 4.
17. 17.What is the smallest whole number by which 360 must be multiplied to get a perfect square?
18. 18.What is 18³? =
19. 19.A square garden has an area of 841 square m. How long is each side (in m)?
20. 20.Use (a − b)² = a² − 2ab + b² to find 15².
21. 21.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
22. 22.Use (a + b)² = a² + 2ab + b² to find 58².
23. 23.Write 3¹⁰ ÷ 3⁶ as a single power 3ⁿ. What is n?
24. 24.What is 47²? =
25. 25.If a + b = 5 and ab = 4, what is a² + b²?
26. 26.What is 54²? =
27. 27.Use (a + b)² = a² + 2ab + b² to find 88².
28. 28.What is the smallest whole number by which 224 must be divided to get a perfect square?
29. 29.Use (a − b)² = a² − 2ab + b² to find 53².
30. 30.Use (a − b)² = a² − 2ab + b² to find 33².
31. 31.Find the compound interest on ₹5000 at 8% per year for 2 years, compounded every year (in ₹).
32. 32.Use (a − b)² = a² − 2ab + b² to find 16².
33. 33.Find the value of x² + 2xy + y² when x = 11 and y = 1.
34. 34.What is 18²? =
35. 35.A scooter is worth ₹56200. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
36. 36.What is 3³? =
37. 37.What is 2³? =
38. 38.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
39. 39.Write (8²)⁷ as a single power 8ⁿ. What is n?
40. 40.Solve: p/5 + p/3 = 8. What is p?

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