Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 873 · 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 ₹42200 grow to in 1 year at 20% per year compound interest (in ₹)?
2. 2.How many whole numbers lie between 38² and 39²?
3. 3.What is 11³? =
4. 4.Write 4 × 10⁻⁴ as a decimal. =
5. 5.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
6. 6.What is the smallest whole number by which 832 must be divided to get a perfect square?
7. 7.Solve: 6(t − 3) = 4t + 4. What is t?
8. 8.A town has 36600 people. The population grows by 8% every year. What will the population be after 1 year?
9. 9.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
10. 10.Write 6³ × 6² as a single power 6ⁿ. What is n?
11. 11.A trapezium has parallel sides of 22 cm and 3 cm, and the distance between them is 20 cm. What is its area (in square cm)?
12. 12.What is the value of 10⁻² (as a fraction)? =
13. 13.Solve: 7n + 5 = 2n + 50. What is n?
14. 14.What is the value of 3⁶ × 3⁻⁴? =
15. 15.Solve: 3m + 16 = m + 18. What is m?
16. 16.The diagonals of a rhombus are 8 cm and 20 cm. What is its area (in square cm)?
17. 17.What amount will ₹55300 grow to in 1 year at 15% per year compound interest (in ₹)?
18. 18.Find the compound interest on ₹27800 at 25% per year for 1 year, compounded every year (in ₹).
19. 19.Solve: 4m + 2 = 2m + 6. What is m?
20. 20.Solve: 4m + 13 = 2m + 21. What is m?
21. 21.A town has 11600 people. The population grows by 8% every year. What will the population be after 1 year?
22. 22.What is the smallest whole number by which 360 must be divided to get a perfect square?
23. 23.What is the smallest whole number by which 567 must be divided to get a perfect square?
24. 24.Use (a + b)(a − b) = a² − b² to find 26 × 14.
25. 25.Which of these is a perfect square? (a) 531 (b) 562 (c) 529
26. 26.What is the smallest whole number by which 640 must be divided to get a perfect square?
27. 27.Use (a + b)² = a² + 2ab + b² to find 107².
28. 28.What is the value of 2² × 2⁻¹? =
29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
30. 30.Solve: t/3 + t/6 = 12. What is t?
31. 31.Use (a + b)(a − b) = a² − b² to find 36 × 24.
32. 32.What is the value of 10⁴ × 10⁻⁴? =
33. 33.What amount will ₹26800 grow to in 2 years at 15% per year compound interest (in ₹)?
34. 34.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
35. 35.If a − b = 10 and ab = 11, what is a² + b²?
36. 36.What amount will ₹15000 grow to in 1 year at 12% per year compound interest (in ₹)?
37. 37.What is the value of 9⁵? =
38. 38.Use (a + b)² = a² + 2ab + b² to find 92².
39. 39.What is the difference between the compound interest and the simple interest on ₹52500 at 10% per year for 2 years (in ₹)?
40. 40.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?

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