Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 769 · 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 value of (4/7)⁻¹? =
2. 2.A cuboid is 5 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
3. 3.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
4. 4.What is the value of 5⁻³ (as a fraction)? =
5. 5.A square garden has an area of 841 square m. How long is each side (in m)?
6. 6.The diagonals of a rhombus are 18 cm and 23 cm. What is its area (in square cm)?
7. 7.Write 8,900 in standard form as 8.9 × 10ⁿ. What is n?
8. 8.What is 4³? =
9. 9.A square garden has an area of 1600 square m. How long is each side (in m)?
10. 10.Which of these is a perfect square? (a) 1273 (b) 1225 (c) 1249
11. 11.What is 50²? =
12. 12.What is the difference between the compound interest and the simple interest on ₹40400 at 25% per year for 2 years (in ₹)?
13. 13.A father is 6 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?
14. 14.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
15. 15.The length of a rectangle is 2 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
16. 16.Which of these is a perfect cube? (a) 595 (b) 578 (c) 512
17. 17.Write 8.6 × 10⁻³ as a decimal. =
18. 18.What is the value of 10³ × 10⁻⁴? =
19. 19.Use (a + b)² = a² + 2ab + b² to find 29².
20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
21. 21.A scooter is worth ₹30000. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
22. 22.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
23. 23.What is the difference between the compound interest and the simple interest on ₹60000 at 4% per year for 2 years (in ₹)?
24. 24.Find the compound interest on ₹46700 at 20% per year for 2 years, compounded every year (in ₹).
25. 25.What is the difference between the compound interest and the simple interest on ₹13900 at 10% per year for 2 years (in ₹)?
26. 26.What is the difference between the compound interest and the simple interest on ₹20900 at 20% per year for 2 years (in ₹)?
27. 27.Solve: m/2 + m/4 = 15. What is m?
28. 28.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?
29. 29.Write 4¹⁰ ÷ 4⁸ as a single power 4ⁿ. What is n?
30. 30.A cuboid is 11 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.What amount will ₹12500 grow to in 2 years at 8% per year compound interest (in ₹)?
32. 32.Use a² − b² = (a + b)(a − b) to find 74² − 47².
33. 33.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
34. 34.What is the difference between the compound interest and the simple interest on ₹39500 at 20% per year for 2 years (in ₹)?
35. 35.Find the compound interest on ₹22900 at 15% per year for 1 year, compounded every year (in ₹).
36. 36.What is ∛10648? =
37. 37.What is the smallest whole number by which 147 must be divided to get a perfect square?
38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
39. 39.Use (a + b)² = a² + 2ab + b² to find 107².
40. 40.What is the difference between the compound interest and the simple interest on ₹2000 at 5% per year for 2 years (in ₹)?

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