Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 754 · 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 13³? =
2. 2.A cuboid is 11 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
3. 3.Solve: x/2 + x/4 = 18. What is x?
4. 4.Solve: t/2 + t/4 = 24. What is t?
5. 5.What is the value of 10³ × 10⁻²? =
6. 6.A trapezium has parallel sides of 11 cm and 6 cm, and the distance between them is 6 cm. What is its area (in square cm)?
7. 7.What is the value of 10⁶ × 10⁻⁵? =
8. 8.What is the value of 2⁴? =
9. 9.Use (a − b)² = a² − 2ab + b² to find 79².
10. 10.Find the compound interest on ₹36600 at 10% per year for 2 years, compounded every year (in ₹).
11. 11.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
12. 12.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
13. 13.The diagonals of a rhombus are 30 cm and 30 cm. What is its area (in square cm)?
14. 14.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
15. 15.Write (8²)⁸ as a single power 8ⁿ. What is n?
16. 16.Find the compound interest on ₹30300 at 8% per year for 1 year, compounded every year (in ₹).
17. 17.Write 84,00,000 in standard form as 8.4 × 10ⁿ. What is n?
18. 18.What is the difference between the compound interest and the simple interest on ₹25000 at 8% per year for 2 years (in ₹)?
19. 19.Solve: 4y + 17 = y + 38. What is y?
20. 20.Use (a + b)² = a² + 2ab + b² to find 54².
21. 21.Solve: 4p + 18 = 3p + 31. What is p?
22. 22.Solve: 5(x − 2) = 4x + 1. What is x?
23. 23.If a − b = 10 and ab = 24, what is a² + b²?
24. 24.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
25. 25.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
26. 26.Solve: 8y + 20 = y + 55. What is y?
27. 27.Solve: t/5 + t/6 = 66. What is t?
28. 28.Use a² − b² = (a + b)(a − b) to find 45² − 24².
29. 29.Use (a + b)² = a² + 2ab + b² to find 33².
30. 30.Write 7,000 in standard form as 7 × 10ⁿ. What is n?
31. 31.What is the value of 7²? =
32. 32.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
33. 33.A scooter is worth ₹49200. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
34. 34.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
35. 35.What is 6³? =
36. 36.What amount will ₹25000 grow to in 2 years at 4% per year compound interest (in ₹)?
37. 37.A square garden has an area of 3025 square m. How long is each side (in m)?
38. 38.What is 16³? =
39. 39.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
40. 40.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?

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