Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 991 · 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.Use (a + b)² = a² + 2ab + b² to find 72².
2. 2.What is 52²? =
3. 3.What is ∛2197? =
4. 4.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
5. 5.The diagonals of a rhombus are 22 cm and 27 cm. What is its area (in square cm)?
6. 6.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
7. 7.Solve: 4(x − 1) = 2x + 8. What is x?
8. 8.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
9. 9.A trapezium has an area of 245 square cm. Its parallel sides are 11 cm and 24 cm. What is the distance between them (in cm)?
10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
11. 11.Use (a + b)(a − b) = a² − b² to find 73 × 67.
12. 12.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
13. 13.What is the value of 5³ × 5⁻¹? =
14. 14.If a + b = 7 and ab = 10, what is a² + b²?
15. 15.What is √324? =
16. 16.A square garden has an area of 1089 square m. How long is each side (in m)?
17. 17.Write 4.1 × 10⁻¹ as a decimal. =
18. 18.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
19. 19.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
20. 20.How many whole numbers lie between 34² and 35²?
21. 21.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
22. 22.A cuboid is 12 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
23. 23.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.Find the compound interest on ₹6800 at 25% per year for 2 years, compounded every year (in ₹).
25. 25.What is the value of 3³ × 3⁻²? =
26. 26.What amount will ₹9900 grow to in 1 year at 8% per year compound interest (in ₹)?
27. 27.A cuboid is 4 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
28. 28.A town has 48900 people. The population grows by 25% every year. What will the population be after 1 year?
29. 29.What is the smallest whole number by which 224 must be divided to get a perfect square?
30. 30.What is √1600? =
31. 31.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
32. 32.Write 8 × 10⁻² as a decimal. =
33. 33.Which of these is a perfect cube? (a) 239 (b) 227 (c) 216
34. 34.Write (9⁵)⁷ as a single power 9ⁿ. What is n?
35. 35.Use (a − b)² = a² − 2ab + b² to find 65².
36. 36.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
37. 37.The diagonals of a rhombus are 6 cm and 24 cm. What is its area (in square cm)?
38. 38.Solve: t/4 + t/2 = 3. What is t?
39. 39.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
40. 40.A cuboid is 3 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets