Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 702 · 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 amount will ₹41200 grow to in 2 years at 25% per year compound interest (in ₹)?
2. 2.What is the value of 6⁴? =
3. 3.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
4. 4.If a + b = 3 and ab = 2, what is a² + b²?
5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
6. 6.What amount will ₹14500 grow to in 1 year at 8% per year compound interest (in ₹)?
7. 7.Find the compound interest on ₹30000 at 8% per year for 1 year, compounded every year (in ₹).
8. 8.A scooter is worth ₹36000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
9. 9.What is 34²? =
10. 10.What is √3364? =
11. 11.What is √784? =
12. 12.2.9 × 10⁶ =
13. 13.The length of a rectangle is 11 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
14. 14.What is the smallest whole number by which 45 must be divided to get a perfect square?
15. 15.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
16. 16.What amount will ₹42500 grow to in 2 years at 12% per year compound interest (in ₹)?
17. 17.How many whole numbers lie between 35² and 36²?
18. 18.What is 14³? =
19. 19.What is the value of 2⁴ × 2⁻¹? =
20. 20.What is the smallest whole number by which 360 must be multiplied to get a perfect square?
21. 21.What is the value of 10⁶ × 10⁻³? =
22. 22.Use (a + b)² = a² + 2ab + b² to find 13².
23. 23.Use (a + b)(a − b) = a² − b² to find 109 × 91.
24. 24.A father is 10 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?
25. 25.6.9 × 10⁶ =
26. 26.What is the value of 4⁻⁴ (as a fraction)? =
27. 27.A trapezium has parallel sides of 14 cm and 19 cm, and the distance between them is 6 cm. What is its area (in square cm)?
28. 28.The diagonals of a rhombus are 20 cm and 27 cm. What is its area (in square cm)?
29. 29.The length of a rectangle is 6 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
30. 30.Write 3⁵ × 3⁶ as a single power 3ⁿ. What is n?
31. 31.A scooter is worth ₹57100. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
32. 32.Use a² − b² = (a + b)(a − b) to find 24² − 10².
33. 33.What amount will ₹33600 grow to in 3 years at 25% per year compound interest (in ₹)?
34. 34.What amount will ₹4000 grow to in 1 year at 15% per year compound interest (in ₹)?
35. 35.Solve: 3(m − 5) = 2m + 7. What is m?
36. 36.What amount will ₹12000 grow to in 3 years at 10% per year compound interest (in ₹)?
37. 37.What is the smallest whole number by which 150 must be multiplied to get a perfect square?
38. 38.Solve: 6(m − 2) = 3m + 21. What is m?
39. 39.The sum of four consecutive whole numbers is 70. What is the largest of them?
40. 40.What amount will ₹39200 grow to in 2 years at 25% per year compound interest (in ₹)?

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