Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 943 · 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.If a − b = 4 and ab = 12, what is a² + b²?
2. 2.What is ∛13824? =
3. 3.1.4 × 10³ =
4. 4.Write 3¹³ ÷ 3⁶ as a single power 3ⁿ. What is n?
5. 5.Use a² − b² = (a + b)(a − b) to find 70² − 3².
6. 6.A town has 32000 people. The population grows by 25% every year. What will the population be after 3 years?
7. 7.Find the compound interest on ₹55000 at 10% per year for 3 years, compounded every year (in ₹).
8. 8.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
9. 9.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
10. 10.Use (a + b)² = a² + 2ab + b² to find 55².
11. 11.What is the difference between the compound interest and the simple interest on ₹44400 at 5% per year for 2 years (in ₹)?
12. 12.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
13. 13.What is the value of 2³ × 2⁻²? =
14. 14.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
15. 15.Which of these is a perfect cube? (a) 1331 (b) 1366 (c) 1440
16. 16.What is √324? =
17. 17.Use (a + b)² = a² + 2ab + b² to find 32².
18. 18.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
19. 19.A cuboid is 6 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
20. 20.What is the smallest whole number by which 294 must be multiplied to get a perfect square?
21. 21.What is the value of 3⁶ × 3⁻⁴? =
22. 22.What is √529? =
23. 23.What is the smallest whole number by which 90 must be multiplied to get a perfect square?
24. 24.A father is 39 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?
25. 25.Use (a + b)² = a² + 2ab + b² to find 94².
26. 26.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
27. 27.Find the compound interest on ₹53300 at 12% per year for 1 year, compounded every year (in ₹).
28. 28.The diagonals of a rhombus are 20 cm and 26 cm. What is its area (in square cm)?
29. 29.What amount will ₹7500 grow to in 2 years at 8% per year compound interest (in ₹)?
30. 30.The diagonals of a rhombus are 24 cm and 10 cm. What is its area (in square cm)?
31. 31.Find the value of x² − 2xy + y² when x = 8 and y = 6.
32. 32.What is √576? =
33. 33.The diagonals of a rhombus are 22 cm and 21 cm. What is its area (in square cm)?
34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
36. 36.Write (6⁹)⁸ as a single power 6ⁿ. What is n?
37. 37.What amount will ₹34800 grow to in 1 year at 25% per year compound interest (in ₹)?
38. 38.What is ∛8000? =
39. 39.What is the value of 5⁻⁴ (as a fraction)? =
40. 40.What is the value of 3¹⁰? =

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