Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 244 · 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 sum of the first 14 odd numbers (1 + 3 + 5 + …)?
2. 2.What amount will ₹43400 grow to in 2 years at 10% per year compound interest (in ₹)?
3. 3.What is 15³? =
4. 4.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
5. 5.Find the value of x² − y² when x = 15 and y = 11.
6. 6.What is the value of 9⁵? =
7. 7.A father is 36 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
8. 8.What is the value of 6²? =
9. 9.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
10. 10.Which of these is a perfect square? (a) 884 (b) 865 (c) 841
11. 11.Find the compound interest on ₹15300 at 10% per year for 2 years, compounded every year (in ₹).
12. 12.What is the value of 2³ × 2⁻³? =
13. 13.What is the smallest whole number by which 640 must be multiplied to get a perfect square?
14. 14.What is the difference between the compound interest and the simple interest on ₹11300 at 10% per year for 2 years (in ₹)?
15. 15.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
16. 16.How many whole numbers lie between 39² and 40²?
17. 17.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
18. 18.A father is 27 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
19. 19.8.8 × 10³ =
20. 20.Write 4⁵ ÷ 4² as a single power 4ⁿ. What is n?
21. 21.A scooter is worth ₹40000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
22. 22.What is the smallest whole number by which 25 must be divided to get a perfect cube?
23. 23.What is 10³? =
24. 24.What amount will ₹32500 grow to in 2 years at 8% per year compound interest (in ₹)?
25. 25.Use (a + b)² = a² + 2ab + b² to find 93².
26. 26.What is 16³? =
27. 27.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
28. 28.A trapezium has parallel sides of 20 cm and 7 cm, and the distance between them is 16 cm. What is its area (in square cm)?
29. 29.Write 9.9 × 10⁻¹ as a decimal. =
30. 30.What is the value of 2⁹? =
31. 31.Use (a + b)(a − b) = a² − b² to find 61 × 59.
32. 32.A trapezium has parallel sides of 10 cm and 29 cm, and the distance between them is 20 cm. What is its area (in square cm)?
33. 33.Which of these is a perfect square? (a) 550 (b) 538 (c) 529
34. 34.A trapezium has an area of 28 square cm. Its parallel sides are 7 cm and 21 cm. What is the distance between them (in cm)?
35. 35.Which of these is a perfect square? (a) 784 (b) 793 (c) 785
36. 36.The sum of four consecutive whole numbers is 66. What is the smallest of them?
37. 37.A town has 11000 people. The population grows by 5% every year. What will the population be after 1 year?
38. 38.What is the difference between the compound interest and the simple interest on ₹48800 at 15% per year for 2 years (in ₹)?
39. 39.A square garden has an area of 841 square m. How long is each side (in m)?
40. 40.What amount will ₹44800 grow to in 2 years at 25% per year compound interest (in ₹)?

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