Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 267 · 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 difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
2. 2.Find the value of x² − y² when x = 15 and y = 9.
3. 3.If a + b = 18 and ab = 80, what is a² + b²?
4. 4.What is ∛5832? =
5. 5.Find the compound interest on ₹1600 at 25% per year for 3 years, compounded every year (in ₹).
6. 6.Use (a + b)² = a² + 2ab + b² to find 41².
7. 7.A trapezium has parallel sides of 11 cm and 13 cm, and the distance between them is 18 cm. What is its area (in square cm)?
8. 8.How many whole numbers lie between 34² and 35²?
9. 9.Write 4.9 × 10⁻² as a decimal. =
10. 10.What is 11³? =
11. 11.Write 3.5 × 10⁻⁴ as a decimal. =
12. 12.The sum of four consecutive whole numbers is 46. What is the largest of them?
13. 13.What is ∛9261? =
14. 14.Write 7 × 10⁻² as a decimal. =
15. 15.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
16. 16.If a + b = 12 and ab = 20, what is a² + b²?
17. 17.Find the value of x² − 2xy + y² when x = 12 and y = 8.
18. 18.What is 60²? =
19. 19.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
20. 20.The diagonals of a rhombus are 28 cm and 12 cm. What is its area (in square cm)?
21. 21.What amount will ₹26100 grow to in 1 year at 12% per year compound interest (in ₹)?
22. 22.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
23. 23.A father is 20 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
24. 24.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
25. 25.Which of these is a perfect square? (a) 447 (b) 441 (c) 454
26. 26.The sum of three consecutive whole numbers is 60. What is the smallest of them?
27. 27.What amount will ₹53900 grow to in 1 year at 25% per year compound interest (in ₹)?
28. 28.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
29. 29.Solve: 5p + 6 = 2p + 9. What is p?
30. 30.What is √9409? =
31. 31.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
32. 32.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
33. 33.What is the smallest whole number by which 60 must be multiplied to get a perfect square?
34. 34.What amount will ₹18800 grow to in 1 year at 15% per year compound interest (in ₹)?
35. 35.Write 6⁹ ÷ 6⁴ as a single power 6ⁿ. What is n?
36. 36.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
37. 37.Which of these is a perfect cube? (a) 229 (b) 216 (c) 280
38. 38.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
39. 39.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
40. 40.Use a² − b² = (a + b)(a − b) to find 23² − 2².

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