Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 674 · 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.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
2. 2.A trapezium has parallel sides of 30 cm and 14 cm, and the distance between them is 9 cm. What is its area (in square cm)?
3. 3.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
4. 4.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
5. 5.A father is 12 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
6. 6.A father is 20 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
7. 7.Use (a + b)(a − b) = a² − b² to find 107 × 93.
8. 8.What is √1225? =
9. 9.Solve: x/3 + x/5 = 56. What is x?
10. 10.What is √225? =
11. 11.A scooter is worth ₹1600. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
12. 12.Use a² − b² = (a + b)(a − b) to find 92² − 88².
13. 13.What is the difference between the compound interest and the simple interest on ₹48600 at 10% per year for 2 years (in ₹)?
14. 14.Use (a − b)² = a² − 2ab + b² to find 26².
15. 15.What is the value of 3²? =
16. 16.A trapezium has an area of 39 square cm. Its parallel sides are 18 cm and 21 cm. What is the distance between them (in cm)?
17. 17.Use (a − b)² = a² − 2ab + b² to find 23².
18. 18.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
19. 19.Find the compound interest on ₹15200 at 5% per year for 1 year, compounded every year (in ₹).
20. 20.Write 7.7 × 10⁻¹ as a decimal. =
21. 21.What amount will ₹34000 grow to in 2 years at 25% per year compound interest (in ₹)?
22. 22.Find the value of x² + 2xy + y² when x = 5 and y = 4.
23. 23.Write 6⁴ × 6⁸ as a single power 6ⁿ. What is n?
24. 24.Use (a + b)² = a² + 2ab + b² to find 27².
25. 25.What is the difference between the compound interest and the simple interest on ₹35200 at 5% per year for 2 years (in ₹)?
26. 26.What is the value of 2¹⁰? =
27. 27.What is the value of 2¹ × 2⁻³? =
28. 28.Find the value of x² + 2xy + y² when x = 11 and y = 3.
29. 29.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
30. 30.The diagonals of a rhombus are 14 cm and 21 cm. What is its area (in square cm)?
31. 31.What is the smallest whole number by which 52 must be divided to get a perfect square?
32. 32.What amount will ₹24800 grow to in 2 years at 5% per year compound interest (in ₹)?
33. 33.What is the value of (3/8)⁻¹? =
34. 34.What is the value of 3³ × 3⁻⁶? =
35. 35.Find the compound interest on ₹32900 at 5% per year for 1 year, compounded every year (in ₹).
36. 36.A trapezium has an area of 102 square cm. Its parallel sides are 21 cm and 30 cm. What is the distance between them (in cm)?
37. 37.A trapezium has parallel sides of 27 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
38. 38.Use (a + b)² = a² + 2ab + b² to find 91².
39. 39.What is 40²? =
40. 40.What is the value of 2³? =

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