Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 156 · 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.The sum of four consecutive whole numbers is 38. What is the largest of them?
2. 2.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
3. 3.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
4. 4.A scooter is worth ₹33100. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
5. 5.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
6. 6.Write 69,00,000 in standard form as 6.9 × 10ⁿ. What is n?
7. 7.A trapezium has parallel sides of 12 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
8. 8.A trapezium has parallel sides of 11 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
9. 9.What is ∛64? =
10. 10.A father is 22 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?
11. 11.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
12. 12.What is the difference between the compound interest and the simple interest on ₹10800 at 15% per year for 2 years (in ₹)?
13. 13.Use (a + b)² = a² + 2ab + b² to find 23².
14. 14.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
15. 15.Use (a − b)² = a² − 2ab + b² to find 33².
16. 16.What amount will ₹20800 grow to in 1 year at 8% per year compound interest (in ₹)?
17. 17.If a + b = 11 and ab = 24, what is a² + b²?
18. 18.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
19. 19.A scooter is worth ₹8000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
20. 20.What is ∛8? =
21. 21.The diagonals of a rhombus are 30 cm and 23 cm. What is its area (in square cm)?
22. 22.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.Find the compound interest on ₹48900 at 25% per year for 1 year, compounded every year (in ₹).
24. 24.What is the difference between the compound interest and the simple interest on ₹43600 at 5% per year for 2 years (in ₹)?
25. 25.Find the value of x² − y² when x = 7 and y = 2.
26. 26.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
27. 27.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
28. 28.What is ∛8000? =
29. 29.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
30. 30.How many whole numbers lie between 11² and 12²?
31. 31.Find the compound interest on ₹42000 at 20% per year for 3 years, compounded every year (in ₹).
32. 32.Which of these is a perfect cube? (a) 64 (b) 108 (c) 74
33. 33.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
34. 34.A town has 26400 people. The population grows by 5% every year. What will the population be after 2 years?
35. 35.If a − b = 1 and ab = 72, what is a² + b²?
36. 36.Use (a + b)² = a² + 2ab + b² to find 88².
37. 37.A trapezium has parallel sides of 18 cm and 14 cm, and the distance between them is 10 cm. What is its area (in square cm)?
38. 38.What is the value of 5³ × 5⁻⁶? =
39. 39.A town has 19600 people. The population grows by 5% every year. What will the population be after 2 years?
40. 40.Use (a − b)² = a² − 2ab + b² to find 11².

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