Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 675 · 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.Write 4.6 × 10⁻² as a decimal. =
2. 2.What amount will ₹55600 grow to in 1 year at 10% per year compound interest (in ₹)?
3. 3.Find the value of x² + 2xy + y² when x = 12 and y = 8.
4. 4.A town has 24000 people. The population grows by 15% every year. What will the population be after 3 years?
5. 5.What is 17³? =
6. 6.What is the value of 4⁶? =
7. 7.If a − b = 3 and ab = 10, what is a² + b²?
8. 8.A father is 45 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
9. 9.What is ∛15625? =
10. 10.8.9 × 10³ =
11. 11.What is 18³? =
12. 12.Find the compound interest on ₹8800 at 5% per year for 2 years, compounded every year (in ₹).
13. 13.How many whole numbers lie between 25² and 26²?
14. 14.What is the difference between the compound interest and the simple interest on ₹60000 at 12% per year for 2 years (in ₹)?
15. 15.A trapezium has parallel sides of 18 cm and 21 cm, and the distance between them is 4 cm. What is its area (in square cm)?
16. 16.Write (8⁹)⁴ as a single power 8ⁿ. What is n?
17. 17.Write 5⁴ ÷ 5² as a single power 5ⁿ. What is n?
18. 18.The diagonals of a rhombus are 6 cm and 19 cm. What is its area (in square cm)?
19. 19.A trapezium has an area of 78 square cm. Its parallel sides are 19 cm and 20 cm. What is the distance between them (in cm)?
20. 20.A town has 45000 people. The population grows by 10% every year. What will the population be after 1 year?
21. 21.Find the compound interest on ₹12200 at 4% per year for 1 year, compounded every year (in ₹).
22. 22.Write (9⁸)⁵ as a single power 9ⁿ. What is n?
23. 23.Solve: 6(n − 4) = 3n + 21. What is n?
24. 24.What amount will ₹13700 grow to in 2 years at 10% per year compound interest (in ₹)?
25. 25.Use (a + b)² = a² + 2ab + b² to find 27².
26. 26.What amount will ₹27400 grow to in 1 year at 10% per year compound interest (in ₹)?
27. 27.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
28. 28.What is 98²? =
29. 29.What is the smallest whole number by which 252 must be multiplied to get a perfect square?
30. 30.What is the value of 3³ × 3⁻⁴? =
31. 31.A trapezium has parallel sides of 30 cm and 12 cm, and the distance between them is 7 cm. What is its area (in square cm)?
32. 32.The diagonals of a rhombus are 22 cm and 14 cm. What is its area (in square cm)?
33. 33.If a + b = 7 and ab = 12, what is a² + b²?
34. 34.Use (a + b)² = a² + 2ab + b² to find 96².
35. 35.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
36. 36.The diagonals of a rhombus are 28 cm and 13 cm. What is its area (in square cm)?
37. 37.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
38. 38.What is the difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
39. 39.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
40. 40.What is √2401? =

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