Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 852 · 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.Find the value of x² + 2xy + y² when x = 4 and y = 2.
2. 2.Use (a + b)(a − b) = a² − b² to find 65 × 55.
3. 3.How many whole numbers lie between 9² and 10²?
4. 4.A room is 6 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
5. 5.Use a² − b² = (a + b)(a − b) to find 35² − 32².
6. 6.A trapezium has an area of 161 square cm. Its parallel sides are 10 cm and 13 cm. What is the distance between them (in cm)?
7. 7.Write 3⁹ ÷ 3⁶ as a single power 3ⁿ. What is n?
8. 8.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
9. 9.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.What amount will ₹17100 grow to in 1 year at 15% per year compound interest (in ₹)?
11. 11.Which of these is a perfect cube? (a) 1917 (b) 1827 (c) 1728
12. 12.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
13. 13.What is ∛729? =
14. 14.Find the compound interest on ₹30000 at 4% per year for 2 years, compounded every year (in ₹).
15. 15.Solve: 4(y − 2) = 2y + 18. What is y?
16. 16.Solve: 5(n − 1) = n + 39. What is n?
17. 17.A trapezium has an area of 125 square cm. Its parallel sides are 7 cm and 18 cm. What is the distance between them (in cm)?
18. 18.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
19. 19.Write 4.5 × 10⁻² as a decimal. =
20. 20.Use a² − b² = (a + b)(a − b) to find 35² − 5².
21. 21.What amount will ₹37700 grow to in 1 year at 4% per year compound interest (in ₹)?
22. 22.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
23. 23.What is 7³? =
24. 24.A father is 18 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?
25. 25.What is the smallest whole number by which 240 must be multiplied to get a perfect square?
26. 26.A father is 33 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?
27. 27.What is the value of 3⁷? =
28. 28.What is the smallest whole number by which 18 must be divided to get a perfect square?
29. 29.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
30. 30.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
31. 31.A cuboid is 12 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
32. 32.A trapezium has an area of 185 square cm. Its parallel sides are 19 cm and 18 cm. What is the distance between them (in cm)?
33. 33.Write 9² × 9³ as a single power 9ⁿ. What is n?
34. 34.What is 6³? =
35. 35.What is 57²? =
36. 36.Write 9.8 × 10⁻³ as a decimal. =
37. 37.A scooter is worth ₹36300. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
38. 38.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
39. 39.What is 10³? =
40. 40.What is 20³? =

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