Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 104 · 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.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
2. 2.Solve: m/6 + m/3 = 12. What is m?
3. 3.What amount will ₹42600 grow to in 1 year at 15% per year compound interest (in ₹)?
4. 4.What is the value of (4/5)⁻²? =
5. 5.What is 2³? =
6. 6.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
7. 7.Use (a + b)² = a² + 2ab + b² to find 79².
8. 8.Use (a + b)² = a² + 2ab + b² to find 95².
9. 9.Use a² − b² = (a + b)(a − b) to find 83² − 52².
10. 10.Solve: 3p + 5 = p + 33. What is p?
11. 11.What is the value of 7³? =
12. 12.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
13. 13.What is the difference between the compound interest and the simple interest on ₹42300 at 10% per year for 2 years (in ₹)?
14. 14.The sum of two consecutive whole numbers is 105. What is the largest of them?
15. 15.Find the value of x² + 2xy + y² when x = 11 and y = 7.
16. 16.What is the difference between the compound interest and the simple interest on ₹27500 at 8% per year for 2 years (in ₹)?
17. 17.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
18. 18.Find the compound interest on ₹43900 at 20% per year for 2 years, compounded every year (in ₹).
19. 19.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
20. 20.Write 210 in standard form as 2.1 × 10ⁿ. What is n?
21. 21.What amount will ₹33600 grow to in 3 years at 25% per year compound interest (in ₹)?
22. 22.The sum of three consecutive whole numbers is 30. What is the largest of them?
23. 23.What is 39²? =
24. 24.Use a² − b² = (a + b)(a − b) to find 28² − 6².
25. 25.The sum of two consecutive whole numbers is 43. What is the largest of them?
26. 26.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
27. 27.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
28. 28.A father is 10 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?
29. 29.What is the value of 2⁵ × 2⁻²? =
30. 30.What is ∛512? =
31. 31.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
32. 32.Write 11,00,000 in standard form as 1.1 × 10ⁿ. What is n?
33. 33.What is the smallest whole number by which 960 must be divided to get a perfect square?
34. 34.What is the value of 10³? =
35. 35.Use (a + b)² = a² + 2ab + b² to find 89².
36. 36.Use (a + b)(a − b) = a² − b² to find 83 × 77.
37. 37.What amount will ₹48500 grow to in 1 year at 25% per year compound interest (in ₹)?
38. 38.Use a² − b² = (a + b)(a − b) to find 44² − 26².
39. 39.Write 8,70,00,000 in standard form as 8.7 × 10ⁿ. What is n?
40. 40.A trapezium has parallel sides of 27 cm and 23 cm, and the distance between them is 15 cm. What is its area (in square cm)?

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