Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 252 · 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 4,500 in standard form as 4.5 × 10ⁿ. What is n?
2. 2.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
3. 3.Use (a − b)² = a² − 2ab + b² to find 42².
4. 4.Find the compound interest on ₹28800 at 25% per year for 3 years, compounded every year (in ₹).
5. 5.The diagonals of a rhombus are 12 cm and 4 cm. What is its area (in square cm)?
6. 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
7. 7.What is the value of (3/8)⁻¹? =
8. 8.What is 4³? =
9. 9.What is the value of (7/8)⁻¹? =
10. 10.Write 160 in standard form as 1.6 × 10ⁿ. What is n?
11. 11.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
12. 12.Use a² − b² = (a + b)(a − b) to find 80² − 29².
13. 13.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
14. 14.A square garden has an area of 36 square m. How long is each side (in m)?
15. 15.Write 8⁶ ÷ 8² as a single power 8ⁿ. What is n?
16. 16.What is the value of 10³ × 10⁻⁵? =
17. 17.What is 12³? =
18. 18.Find the value of x² + 2xy + y² when x = 10 and y = 5.
19. 19.Which of these is a perfect square? (a) 1673 (b) 1600 (c) 1679
20. 20.What is 9³? =
21. 21.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
22. 22.A trapezium has parallel sides of 15 cm and 20 cm, and the distance between them is 20 cm. What is its area (in square cm)?
23. 23.Solve: 3(m − 2) = 2m + 11. What is m?
24. 24.A square garden has an area of 1369 square m. How long is each side (in m)?
25. 25.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
26. 26.A square garden has an area of 225 square m. How long is each side (in m)?
27. 27.Use (a − b)² = a² − 2ab + b² to find 45².
28. 28.Solve: 8n + 3 = 6n + 27. What is n?
29. 29.Use (a + b)(a − b) = a² − b² to find 25 × 15.
30. 30.What is the difference between the compound interest and the simple interest on ₹46000 at 15% per year for 2 years (in ₹)?
31. 31.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
32. 32.A cuboid is 10 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
33. 33.A scooter is worth ₹34400. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
34. 34.What is the difference between the compound interest and the simple interest on ₹22500 at 12% per year for 2 years (in ₹)?
35. 35.Write 38,00,000 in standard form as 3.8 × 10ⁿ. What is n?
36. 36.Write 6.7 × 10⁻¹ as a decimal. =
37. 37.Use (a − b)² = a² − 2ab + b² to find 96².
38. 38.Write 9.6 × 10⁻⁴ as a decimal. =
39. 39.Find the compound interest on ₹10800 at 5% per year for 2 years, compounded every year (in ₹).
40. 40.Write 1,40,000 in standard form as 1.4 × 10ⁿ. What is n?

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