Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 683 · 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.Write 4⁴ × 4⁵ as a single power 4ⁿ. What is n?
2. 2.What amount will ₹20800 grow to in 1 year at 4% per year compound interest (in ₹)?
3. 3.Which of these is a perfect square? (a) 1444 (b) 1518 (c) 1455
4. 4.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
5. 5.A trapezium has an area of 189 square cm. Its parallel sides are 23 cm and 4 cm. What is the distance between them (in cm)?
6. 6.Find the compound interest on ₹48000 at 15% per year for 3 years, compounded every year (in ₹).
7. 7.A square garden has an area of 400 square m. How long is each side (in m)?
8. 8.Use a² − b² = (a + b)(a − b) to find 55² − 14².
9. 9.Write 69,00,000 in standard form as 6.9 × 10ⁿ. What is n?
10. 10.A scooter is worth ₹23000. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
11. 11.What is the value of 6³? =
12. 12.What is the value of 10⁻² (as a fraction)? =
13. 13.A trapezium has an area of 108 square cm. Its parallel sides are 20 cm and 7 cm. What is the distance between them (in cm)?
14. 14.Use (a + b)² = a² + 2ab + b² to find 41².
15. 15.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
16. 16.Solve: 5(y − 1) = 3y + 15. What is y?
17. 17.What is the difference between the compound interest and the simple interest on ₹28700 at 20% per year for 2 years (in ₹)?
18. 18.Use (a + b)² = a² + 2ab + b² to find 63².
19. 19.Solve: 3(p − 1) = p + 21. What is p?
20. 20.What is 94²? =
21. 21.Write (4³)⁴ as a single power 4ⁿ. What is n?
22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
23. 23.What is the smallest whole number by which 24 must be multiplied to get a perfect square?
24. 24.What amount will ₹20300 grow to in 2 years at 20% per year compound interest (in ₹)?
25. 25.A father is 16 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
26. 26.What is the smallest whole number by which 1215 must be divided to get a perfect square?
27. 27.What is the value of 2² × 2⁻¹? =
28. 28.The diagonals of a rhombus are 28 cm and 13 cm. What is its area (in square cm)?
29. 29.Use (a + b)² = a² + 2ab + b² to find 81².
30. 30.Solve: 3(t − 2) = 2t + 3. What is t?
31. 31.How many whole numbers lie between 37² and 38²?
32. 32.Write 5.2 × 10⁻² as a decimal. =
33. 33.What is the value of 4⁴? =
34. 34.How many whole numbers lie between 6² and 7²?
35. 35.Use (a + b)² = a² + 2ab + b² to find 11².
36. 36.What is 19³? =
37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
38. 38.Use a² − b² = (a + b)(a − b) to find 73² − 2².
39. 39.What is the value of 6⁶? =
40. 40.What amount will ₹3600 grow to in 1 year at 20% per year compound interest (in ₹)?

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