Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 120 · 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 difference between the compound interest and the simple interest on ₹30100 at 20% per year for 2 years (in ₹)?
2. 2.If a − b = 1 and ab = 2, what is a² + b²?
3. 3.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
4. 4.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
5. 5.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
6. 6.A trapezium has parallel sides of 14 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
7. 7.Solve: y/5 + y/2 = 49. What is y?
8. 8.A scooter is worth ₹10400. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
9. 9.A trapezium has parallel sides of 10 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
10. 10.How many whole numbers lie between 11² and 12²?
11. 11.Find the value of x² − y² when x = 15 and y = 12.
12. 12.A scooter is worth ₹16000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
13. 13.What is ∛10648? =
14. 14.What is the difference between the compound interest and the simple interest on ₹37300 at 20% per year for 2 years (in ₹)?
15. 15.Write 7.8 × 10⁻¹ as a decimal. =
16. 16.Use (a − b)² = a² − 2ab + b² to find 78².
17. 17.Find the compound interest on ₹56600 at 20% per year for 1 year, compounded every year (in ₹).
18. 18.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
19. 19.A trapezium has an area of 91 square cm. Its parallel sides are 7 cm and 6 cm. What is the distance between them (in cm)?
20. 20.How many whole numbers lie between 44² and 45²?
21. 21.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
22. 22.What amount will ₹13900 grow to in 1 year at 25% per year compound interest (in ₹)?
23. 23.Use (a − b)² = a² − 2ab + b² to find 28².
24. 24.A square garden has an area of 1521 square m. How long is each side (in m)?
25. 25.A scooter is worth ₹40000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
26. 26.What is the smallest whole number by which 448 must be divided to get a perfect square?
27. 27.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
28. 28.What is the value of 3¹ × 3⁻³? =
29. 29.Solve: 7y + 10 = 5y + 14. What is y?
30. 30.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
31. 31.A trapezium has an area of 273 square cm. Its parallel sides are 25 cm and 17 cm. What is the distance between them (in cm)?
32. 32.What is the difference between the compound interest and the simple interest on ₹15500 at 20% per year for 2 years (in ₹)?
33. 33.What is the difference between the compound interest and the simple interest on ₹49000 at 20% per year for 2 years (in ₹)?
34. 34.A father is 27 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
35. 35.How many whole numbers lie between 15² and 16²?
36. 36.Solve: 7n + 2 = 3n + 10. What is n?
37. 37.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
38. 38.Use a² − b² = (a + b)(a − b) to find 26² − 11².
39. 39.What is √9409? =
40. 40.Which of these is a perfect square? (a) 1536 (b) 1572 (c) 1521

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