Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 9 · 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 58².
2. 2.6.7 × 10⁶ =
3. 3.Write 2⁹ ÷ 2⁷ as a single power 2ⁿ. What is n?
4. 4.The diagonals of a rhombus are 6 cm and 5 cm. What is its area (in square cm)?
5. 5.Use a² − b² = (a + b)(a − b) to find 53² − 23².
6. 6.How many whole numbers lie between 9² and 10²?
7. 7.Which of these is a perfect cube? (a) 27 (b) 53 (c) 49
8. 8.A trapezium has parallel sides of 9 cm and 21 cm, and the distance between them is 13 cm. What is its area (in square cm)?
9. 9.What amount will ₹50400 grow to in 2 years at 15% per year compound interest (in ₹)?
10. 10.Solve: y/3 + y/4 = 42. What is y?
11. 11.The length of a rectangle is 12 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
12. 12.Use (a + b)(a − b) = a² − b² to find 57 × 43.
13. 13.A cuboid is 15 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
14. 14.A cuboid is 8 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
15. 15.What is the smallest whole number by which 56 must be multiplied to get a perfect square?
16. 16.Solve: 4(x − 2) = 3x + 8. What is x?
17. 17.A room is 6 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
18. 18.Use (a + b)(a − b) = a² − b² to find 102 × 98.
19. 19.A trapezium has an area of 513 square cm. Its parallel sides are 29 cm and 28 cm. What is the distance between them (in cm)?
20. 20.What is 11³? =
21. 21.What is 95²? =
22. 22.Use (a + b)² = a² + 2ab + b² to find 61².
23. 23.Write 4⁷ × 4³ as a single power 4ⁿ. What is n?
24. 24.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
25. 25.What is the value of 4⁻¹ (as a fraction)? =
26. 26.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
28. 28.What is the smallest whole number by which 875 must be divided to get a perfect cube?
29. 29.Find the value of x² − y² when x = 15 and y = 4.
30. 30.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
31. 31.Which of these is a perfect square? (a) 225 (b) 247 (c) 254
32. 32.Use (a − b)² = a² − 2ab + b² to find 45².
33. 33.What is the difference between the compound interest and the simple interest on ₹12900 at 10% per year for 2 years (in ₹)?
34. 34.A square garden has an area of 1296 square m. How long is each side (in m)?
35. 35.A cuboid is 12 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
36. 36.A scooter is worth ₹3300. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
37. 37.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
38. 38.Write 9.9 × 10⁻² as a decimal. =
39. 39.Find the compound interest on ₹39400 at 10% per year for 2 years, compounded every year (in ₹).
40. 40.What is √6400? =

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