Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 487 · 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.Use (a − b)² = a² − 2ab + b² to find 99².
2. 2.What is the difference between the compound interest and the simple interest on ₹13600 at 15% per year for 2 years (in ₹)?
3. 3.Write 27,00,000 in standard form as 2.7 × 10ⁿ. What is n?
4. 4.Write 3.7 × 10⁻² as a decimal. =
5. 5.Solve: 4(m − 1) = 2m + 14. What is m?
6. 6.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
7. 7.A town has 40000 people. The population grows by 5% every year. What will the population be after 3 years?
8. 8.What is 39²? =
9. 9.What is the value of 7⁻¹ (as a fraction)? =
10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
11. 11.A trapezium has parallel sides of 26 cm and 24 cm, and the distance between them is 9 cm. What is its area (in square cm)?
12. 12.Find the compound interest on ₹15900 at 4% per year for 1 year, compounded every year (in ₹).
13. 13.Use a² − b² = (a + b)(a − b) to find 30² − 24².
14. 14.Which of these is a perfect cube? (a) 216 (b) 254 (c) 277
15. 15.Use (a − b)² = a² − 2ab + b² to find 96².
16. 16.A trapezium has parallel sides of 8 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
17. 17.What is the value of 4⁴? =
18. 18.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
19. 19.1.9 × 10⁵ =
20. 20.A trapezium has an area of 243 square cm. Its parallel sides are 16 cm and 11 cm. What is the distance between them (in cm)?
21. 21.Use a² − b² = (a + b)(a − b) to find 96² − 57².
22. 22.Solve: 9y + 1 = 8y + 3. What is y?
23. 23.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?
24. 24.A square garden has an area of 121 square m. How long is each side (in m)?
25. 25.Use (a − b)² = a² − 2ab + b² to find 31².
26. 26.A town has 7500 people. The population grows by 4% every year. What will the population be after 2 years?
27. 27.Use (a + b)² = a² + 2ab + b² to find 84².
28. 28.A cuboid is 14 cm long, 10 cm wide and 8 cm high. What is its total surface area (in square cm)?
29. 29.Write (8³)³ as a single power 8ⁿ. What is n?
30. 30.Solve: 5(p − 1) = p + 11. What is p?
31. 31.Use (a − b)² = a² − 2ab + b² to find 14².
32. 32.4.6 × 10⁶ =
33. 33.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
34. 34.Solve: x/5 + x/4 = 9. What is x?
35. 35.What is the difference between the compound interest and the simple interest on ₹2000 at 25% per year for 2 years (in ₹)?
36. 36.What is the smallest whole number by which 252 must be divided to get a perfect square?
37. 37.Write (3⁷)³ as a single power 3ⁿ. What is n?
38. 38.Find the compound interest on ₹12500 at 8% per year for 2 years, compounded every year (in ₹).
39. 39.A square garden has an area of 576 square m. How long is each side (in m)?
40. 40.The sum of three consecutive whole numbers is 126. What is the largest of them?

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