Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 431 · 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 49²? =
2. 2.A trapezium has parallel sides of 28 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?
3. 3.What is 78²? =
4. 4.A trapezium has an area of 99 square cm. Its parallel sides are 25 cm and 8 cm. What is the distance between them (in cm)?
5. 5.How many whole numbers lie between 7² and 8²?
6. 6.A town has 7600 people. The population grows by 25% every year. What will the population be after 1 year?
7. 7.What is the smallest whole number by which 126 must be divided to get a perfect square?
8. 8.How many whole numbers lie between 28² and 29²?
9. 9.Write 1.8 × 10⁻² as a decimal. =
10. 10.What is the value of 4²? =
11. 11.Find the compound interest on ₹17300 at 5% per year for 1 year, compounded every year (in ₹).
12. 12.What is the value of 2¹⁴? =
13. 13.Use (a − b)² = a² − 2ab + b² to find 21².
14. 14.Use (a − b)² = a² − 2ab + b² to find 47².
15. 15.If a − b = 7 and ab = 44, what is a² + b²?
16. 16.A father is 33 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
17. 17.Use (a − b)² = a² − 2ab + b² to find 19².
18. 18.The diagonals of a rhombus are 20 cm and 8 cm. What is its area (in square cm)?
19. 19.What is the value of 3² × 3⁻³? =
20. 20.Use (a − b)² = a² − 2ab + b² to find 69².
21. 21.A trapezium has an area of 140 square cm. Its parallel sides are 17 cm and 3 cm. What is the distance between them (in cm)?
22. 22.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
23. 23.Solve: 7p + 18 = 5p + 36. What is p?
24. 24.2.1 × 10⁵ =
25. 25.Which of these is a perfect square? (a) 902 (b) 940 (c) 900
26. 26.Find the compound interest on ₹59800 at 15% per year for 1 year, compounded every year (in ₹).
27. 27.Find the value of x² + 2xy + y² when x = 10 and y = 3.
28. 28.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
29. 29.What is the value of 3⁵? =
30. 30.What is the difference between the compound interest and the simple interest on ₹36000 at 15% per year for 2 years (in ₹)?
31. 31.Write 1,10,000 in standard form as 1.1 × 10ⁿ. What is n?
32. 32.Use a² − b² = (a + b)(a − b) to find 28² − 24².
33. 33.A town has 58400 people. The population grows by 25% every year. What will the population be after 2 years?
34. 34.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
35. 35.Solve: 6(y − 1) = 2y + 10. What is y?
36. 36.Use (a + b)² = a² + 2ab + b² to find 77².
37. 37.What is √8836? =
38. 38.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
39. 39.Write 4¹³ ÷ 4⁸ as a single power 4ⁿ. What is n?
40. 40.Which of these is a perfect cube? (a) 320 (b) 218 (c) 216

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