Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 734 · 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 7⁴? =
2. 2.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
3. 3.Solve: 5(p − 1) = p + 51. What is p?
4. 4.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
5. 5.A trapezium has parallel sides of 25 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
6. 6.Write 7⁵ × 7⁶ as a single power 7ⁿ. What is n?
7. 7.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
8. 8.Solve: p/6 + p/4 = 10. What is p?
9. 9.Solve: 9n + 14 = 5n + 58. What is n?
10. 10.What amount will ₹36700 grow to in 1 year at 10% per year compound interest (in ₹)?
11. 11.Find the compound interest on ₹18400 at 15% per year for 2 years, compounded every year (in ₹).
12. 12.A scooter is worth ₹8000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
13. 13.The length of a rectangle is 7 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
14. 14.A square garden has an area of 2304 square m. How long is each side (in m)?
15. 15.Find the compound interest on ₹27500 at 4% per year for 2 years, compounded every year (in ₹).
16. 16.What is the value of 3⁻² (as a fraction)? =
17. 17.A scooter is worth ₹40100. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
18. 18.Write (3²)⁵ as a single power 3ⁿ. What is n?
19. 19.What is 18³? =
20. 20.Solve: 6m + 5 = 3m + 23. What is m?
21. 21.What is the smallest whole number by which 135 must be divided to get a perfect square?
22. 22.What is the difference between the compound interest and the simple interest on ₹22700 at 20% per year for 2 years (in ₹)?
23. 23.What amount will ₹22400 grow to in 3 years at 25% per year compound interest (in ₹)?
24. 24.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
25. 25.Find the value of x² + 2xy + y² when x = 10 and y = 8.
26. 26.Write 3.2 × 10⁻² as a decimal. =
27. 27.Use (a + b)² = a² + 2ab + b² to find 26².
28. 28.What is the smallest whole number by which 56 must be multiplied to get a perfect square?
29. 29.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
30. 30.Which of these is a perfect square? (a) 414 (b) 400 (c) 436
31. 31.Solve: 3(n − 3) = n + 19. What is n?
32. 32.What is the difference between the compound interest and the simple interest on ₹20000 at 4% per year for 2 years (in ₹)?
33. 33.Solve: m/2 + m/4 = 6. What is m?
34. 34.Use (a + b)² = a² + 2ab + b² to find 61².
35. 35.What is the difference between the compound interest and the simple interest on ₹50000 at 12% per year for 2 years (in ₹)?
36. 36.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
37. 37.How many whole numbers lie between 11² and 12²?
38. 38.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
39. 39.The diagonals of a rhombus are 20 cm and 13 cm. What is its area (in square cm)?
40. 40.What is the difference between the compound interest and the simple interest on ₹16400 at 25% per year for 2 years (in ₹)?

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