Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 627 · 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 5³? =
2. 2.Use (a − b)² = a² − 2ab + b² to find 34².
3. 3.What is the smallest whole number by which 960 must be multiplied to get a perfect square?
4. 4.Use (a − b)² = a² − 2ab + b² to find 58².
5. 5.Solve: 6(t − 2) = 4t + 6. What is t?
6. 6.A square garden has an area of 2209 square m. How long is each side (in m)?
7. 7.What is 18³? =
8. 8.Use (a + b)² = a² + 2ab + b² to find 18².
9. 9.Which of these is a perfect square? (a) 1270 (b) 1225 (c) 1293
10. 10.What is 7³? =
11. 11.How many whole numbers lie between 25² and 26²?
12. 12.What amount will ₹55000 grow to in 3 years at 10% per year compound interest (in ₹)?
13. 13.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
14. 14.A town has 40900 people. The population grows by 5% every year. What will the population be after 1 year?
15. 15.Find the value of x² − 2xy + y² when x = 13 and y = 7.
16. 16.A trapezium has an area of 336 square cm. Its parallel sides are 22 cm and 20 cm. What is the distance between them (in cm)?
17. 17.The sum of two consecutive whole numbers is 67. What is the smallest of them?
18. 18.What is the value of 9³? =
19. 19.What is 25²? =
20. 20.Write 8¹¹ ÷ 8⁹ as a single power 8ⁿ. What is n?
21. 21.What is √2401? =
22. 22.What is the value of 7⁻³ (as a fraction)? =
23. 23.A scooter is worth ₹10000. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
24. 24.Use (a + b)² = a² + 2ab + b² to find 21².
25. 25.What is the difference between the compound interest and the simple interest on ₹58800 at 20% per year for 2 years (in ₹)?
26. 26.Write 970 in standard form as 9.7 × 10ⁿ. What is n?
27. 27.What is ∛13824? =
28. 28.Which of these is a perfect cube? (a) 2197 (b) 2276 (c) 2220
29. 29.What amount will ₹8000 grow to in 2 years at 15% per year compound interest (in ₹)?
30. 30.Write 3² × 3⁷ as a single power 3ⁿ. What is n?
31. 31.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
32. 32.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
33. 33.Find the value of x² − y² when x = 5 and y = 2.
34. 34.The sum of four consecutive whole numbers is 190. What is the largest of them?
35. 35.What is ∛2197? =
36. 36.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
37. 37.A cuboid is 10 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
38. 38.A square garden has an area of 3481 square m. How long is each side (in m)?
39. 39.Use (a − b)² = a² − 2ab + b² to find 18².
40. 40.Which of these is a perfect square? (a) 586 (b) 576 (c) 589

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