Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 598 · 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.If a + b = 9 and ab = 8, what is a² + b²?
2. 2.Use (a + b)² = a² + 2ab + b² to find 25².
3. 3.Which of these is a perfect square? (a) 1600 (b) 1601 (c) 1630
4. 4.A town has 19000 people. The population grows by 8% every year. What will the population be after 1 year?
5. 5.What is the value of 5⁵ × 5⁻⁴? =
6. 6.What is 10³? =
7. 7.The diagonals of a rhombus are 8 cm and 15 cm. What is its area (in square cm)?
8. 8.What is 45²? =
9. 9.Find the value of x² − 2xy + y² when x = 11 and y = 4.
10. 10.What amount will ₹10000 grow to in 2 years at 5% per year compound interest (in ₹)?
11. 11.Write 9 × 10⁻⁴ as a decimal. =
12. 12.The sum of two consecutive whole numbers is 41. What is the largest of them?
13. 13.What is 13³? =
14. 14.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
15. 15.Solve: x/2 + x/4 = 18. What is x?
16. 16.What is the value of 2¹³? =
17. 17.If a − b = 1 and ab = 2, what is a² + b²?
18. 18.Use (a − b)² = a² − 2ab + b² to find 95².
19. 19.Write 4.5 × 10⁻³ as a decimal. =
20. 20.Solve: x/4 + x/2 = 18. What is x?
21. 21.A father is 42 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
22. 22.What is 88²? =
23. 23.Use (a + b)² = a² + 2ab + b² to find 26².
24. 24.Find the compound interest on ₹4000 at 15% per year for 2 years, compounded every year (in ₹).
25. 25.What is √5329? =
26. 26.What is the value of 3⁻³ (as a fraction)? =
27. 27.Use a² − b² = (a + b)(a − b) to find 48² − 26².
28. 28.A town has 17500 people. The population grows by 8% every year. What will the population be after 2 years?
29. 29.A trapezium has parallel sides of 28 cm and 21 cm, and the distance between them is 12 cm. What is its area (in square cm)?
30. 30.What is the difference between the compound interest and the simple interest on ₹29600 at 20% per year for 2 years (in ₹)?
31. 31.Use (a − b)² = a² − 2ab + b² to find 44².
32. 32.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
33. 33.The sum of two consecutive whole numbers is 93. What is the smallest of them?
34. 34.A trapezium has an area of 85 square cm. Its parallel sides are 21 cm and 13 cm. What is the distance between them (in cm)?
35. 35.5.9 × 10⁵ =
36. 36.A trapezium has an area of 100 square cm. Its parallel sides are 6 cm and 4 cm. What is the distance between them (in cm)?
37. 37.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
38. 38.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
39. 39.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
40. 40.Solve: 4x + 20 = x + 41. What is x?

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