Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 829 · 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.Solve: n/3 + n/5 = 56. What is n?
2. 2.What is the difference between the compound interest and the simple interest on ₹15300 at 10% per year for 2 years (in ₹)?
3. 3.What amount will ₹4900 grow to in 1 year at 12% per year compound interest (in ₹)?
4. 4.Solve: 6(p − 4) = 5p + 6. What is p?
5. 5.Find the compound interest on ₹51200 at 25% per year for 3 years, compounded every year (in ₹).
6. 6.A trapezium has an area of 117 square cm. Its parallel sides are 23 cm and 16 cm. What is the distance between them (in cm)?
7. 7.Find the value of x² − y² when x = 14 and y = 3.
8. 8.How many whole numbers lie between 34² and 35²?
9. 9.Write 8⁶ × 8³ as a single power 8ⁿ. What is n?
10. 10.What is the value of 2² × 2⁻¹? =
11. 11.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
12. 12.What is 17³? =
13. 13.A scooter is worth ₹19400. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
14. 14.A trapezium has parallel sides of 9 cm and 13 cm, and the distance between them is 15 cm. What is its area (in square cm)?
15. 15.What is √6561? =
16. 16.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
17. 17.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
18. 18.What is the value of 3¹ × 3⁻⁶? =
19. 19.A trapezium has an area of 37 square cm. Its parallel sides are 14 cm and 23 cm. What is the distance between them (in cm)?
20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
21. 21.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
22. 22.A trapezium has an area of 65 square cm. Its parallel sides are 5 cm and 8 cm. What is the distance between them (in cm)?
23. 23.A cuboid is 13 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
24. 24.What is the difference between the compound interest and the simple interest on ₹55000 at 8% per year for 2 years (in ₹)?
25. 25.What is 18³? =
26. 26.A trapezium has parallel sides of 11 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
27. 27.Solve: 5(p − 1) = 2p + 10. What is p?
28. 28.What is the value of 6⁻³ (as a fraction)? =
29. 29.What is the difference between the compound interest and the simple interest on ₹28400 at 25% per year for 2 years (in ₹)?
30. 30.What is √5041? =
31. 31.Use (a + b)(a − b) = a² − b² to find 31 × 29.
32. 32.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
33. 33.Write 4.1 × 10⁻¹ as a decimal. =
34. 34.What amount will ₹25100 grow to in 1 year at 5% per year compound interest (in ₹)?
35. 35.Use a² − b² = (a + b)(a − b) to find 25² − 15².
36. 36.The diagonals of a rhombus are 14 cm and 7 cm. What is its area (in square cm)?
37. 37.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
38. 38.Which of these is a perfect cube? (a) 69 (b) 64 (c) 85
39. 39.Find the compound interest on ₹32500 at 12% per year for 2 years, compounded every year (in ₹).
40. 40.What is the smallest whole number by which 8 must be divided to get a perfect square?

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