Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 310 · 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.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
2. 2.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
3. 3.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
4. 4.If a − b = 6 and ab = 72, what is a² + b²?
5. 5.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
6. 6.What amount will ₹12500 grow to in 2 years at 8% per year compound interest (in ₹)?
7. 7.What is the smallest whole number by which 675 must be divided to get a perfect cube?
8. 8.What is the difference between the compound interest and the simple interest on ₹25600 at 5% per year for 2 years (in ₹)?
9. 9.What is ∛1000? =
10. 10.The diagonals of a rhombus are 26 cm and 28 cm. What is its area (in square cm)?
11. 11.The length of a rectangle is 11 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
12. 12.A trapezium has parallel sides of 20 cm and 24 cm, and the distance between them is 4 cm. What is its area (in square cm)?
13. 13.Solve: 9x + 10 = 5x + 62. What is x?
14. 14.What is 75²? =
15. 15.What is the difference between the compound interest and the simple interest on ₹49600 at 20% per year for 2 years (in ₹)?
16. 16.What is the value of 2³ × 2⁻²? =
17. 17.What is the value of 3⁻³ (as a fraction)? =
18. 18.Find the value of x² − 2xy + y² when x = 7 and y = 6.
19. 19.Find the value of x² + 2xy + y² when x = 10 and y = 1.
20. 20.Write 9.6 × 10⁻³ as a decimal. =
21. 21.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
22. 22.What is the difference between the compound interest and the simple interest on ₹27600 at 15% per year for 2 years (in ₹)?
23. 23.Use a² − b² = (a + b)(a − b) to find 58² − 36².
24. 24.Write (7⁸)⁹ as a single power 7ⁿ. What is n?
25. 25.What is the difference between the compound interest and the simple interest on ₹42500 at 4% per year for 2 years (in ₹)?
26. 26.Solve: m/2 + m/5 = 14. What is m?
27. 27.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
28. 28.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
29. 29.What is √961? =
30. 30.A trapezium has an area of 117 square cm. Its parallel sides are 16 cm and 2 cm. What is the distance between them (in cm)?
31. 31.What is the value of 10³ × 10⁻⁴? =
32. 32.What amount will ₹21200 grow to in 2 years at 5% per year compound interest (in ₹)?
33. 33.The diagonals of a rhombus are 10 cm and 23 cm. What is its area (in square cm)?
34. 34.What is 5³? =
35. 35.A trapezium has an area of 280 square cm. Its parallel sides are 18 cm and 22 cm. What is the distance between them (in cm)?
36. 36.Write 6³ × 6⁷ as a single power 6ⁿ. What is n?
37. 37.Solve: 6(x − 1) = 2x + 34. What is x?
38. 38.Use (a + b)² = a² + 2ab + b² to find 101².
39. 39.What is the difference between the compound interest and the simple interest on ₹58000 at 25% per year for 2 years (in ₹)?
40. 40.Which of these is a perfect square? (a) 1571 (b) 1566 (c) 1521

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