Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 389 · 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 value of 4⁸? =
2. 2.Write 4.4 × 10⁻⁴ as a decimal. =
3. 3.What is the value of 4⁻² (as a fraction)? =
4. 4.A cuboid is 4 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
5. 5.If a − b = 5 and ab = 6, what is a² + b²?
6. 6.A cuboid is 15 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
7. 7.What amount will ₹53600 grow to in 2 years at 5% per year compound interest (in ₹)?
8. 8.How many whole numbers lie between 14² and 15²?
9. 9.Solve: 6(y − 3) = y + 27. What is y?
10. 10.Find the compound interest on ₹46900 at 8% per year for 1 year, compounded every year (in ₹).
11. 11.What is ∛4096? =
12. 12.A scooter is worth ₹7600. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
13. 13.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
14. 14.Use (a + b)² = a² + 2ab + b² to find 78².
15. 15.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
16. 16.What is √729? =
17. 17.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
18. 18.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
19. 19.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
20. 20.Find the compound interest on ₹42000 at 20% per year for 3 years, compounded every year (in ₹).
21. 21.A trapezium has parallel sides of 10 cm and 30 cm, and the distance between them is 10 cm. What is its area (in square cm)?
22. 22.What is √5041? =
23. 23.If a + b = 8 and ab = 12, what is a² + b²?
24. 24.What is the value of 5² × 5⁻⁵? =
25. 25.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
26. 26.What is the value of (4/5)⁻¹? =
27. 27.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
28. 28.Write 6.1 × 10⁻³ as a decimal. =
29. 29.A town has 8600 people. The population grows by 10% every year. What will the population be after 2 years?
30. 30.A square garden has an area of 49 square m. How long is each side (in m)?
31. 31.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
32. 32.What is the difference between the compound interest and the simple interest on ₹32500 at 4% per year for 2 years (in ₹)?
33. 33.Use (a + b)² = a² + 2ab + b² to find 11².
34. 34.5.3 × 10³ =
35. 35.Find the value of x² + 2xy + y² when x = 11 and y = 10.
36. 36.A trapezium has parallel sides of 14 cm and 7 cm, and the distance between them is 12 cm. What is its area (in square cm)?
37. 37.How many whole numbers lie between 7² and 8²?
38. 38.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
39. 39.Which of these is a perfect square? (a) 361 (b) 379 (c) 371
40. 40.Which of these is a perfect square? (a) 1296 (b) 1358 (c) 1343

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