Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 224 · 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 ₹20400 at 5% per year for 2 years (in ₹)?
2. 2.If a − b = 1 and ab = 90, what is a² + b²?
3. 3.Which of these is a perfect cube? (a) 27 (b) 30 (c) 35
4. 4.What is 99²? =
5. 5.A trapezium has parallel sides of 17 cm and 26 cm, and the distance between them is 6 cm. What is its area (in square cm)?
6. 6.Use (a + b)(a − b) = a² − b² to find 24 × 16.
7. 7.What is √784? =
8. 8.Use (a + b)² = a² + 2ab + b² to find 18².
9. 9.Write (5⁷)² as a single power 5ⁿ. What is n?
10. 10.A father is 18 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
11. 11.Use (a + b)(a − b) = a² − b² to find 91 × 89.
12. 12.Use a² − b² = (a + b)(a − b) to find 24² − 13².
13. 13.What is 4³? =
14. 14.A scooter is worth ₹24000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
15. 15.What is 9³? =
16. 16.Find the compound interest on ₹5000 at 12% per year for 2 years, compounded every year (in ₹).
17. 17.Use a² − b² = (a + b)(a − b) to find 24² − 19².
18. 18.Find the value of x² + 2xy + y² when x = 14 and y = 8.
19. 19.Write 6.4 × 10⁻⁴ as a decimal. =
20. 20.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
21. 21.Write 5⁸ × 5⁹ as a single power 5ⁿ. What is n?
22. 22.A square garden has an area of 81 square m. How long is each side (in m)?
23. 23.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
24. 24.What is the value of 3⁶? =
25. 25.3.1 × 10⁴ =
26. 26.Find the compound interest on ₹57500 at 8% per year for 2 years, compounded every year (in ₹).
27. 27.Solve: 5(t − 4) = 4t + 3. What is t?
28. 28.The diagonals of a rhombus are 30 cm and 8 cm. What is its area (in square cm)?
29. 29.Use (a + b)(a − b) = a² − b² to find 52 × 48.
30. 30.What is the smallest whole number by which 32 must be divided to get a perfect cube?
31. 31.A trapezium has an area of 94 square cm. Its parallel sides are 29 cm and 18 cm. What is the distance between them (in cm)?
32. 32.Find the compound interest on ₹25800 at 25% per year for 1 year, compounded every year (in ₹).
33. 33.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
34. 34.4.2 × 10⁵ =
35. 35.Solve: 4(m − 1) = 3m + 7. What is m?
36. 36.What is the smallest whole number by which 20 must be divided to get a perfect square?
37. 37.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
38. 38.A town has 57600 people. The population grows by 10% every year. What will the population be after 1 year?
39. 39.Solve: 6(x − 2) = x + 48. What is x?
40. 40.What is 19³? =

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