Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 800 · 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 length of a rectangle is 7 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
2. 2.Find the value of x² + 2xy + y² when x = 4 and y = 1.
3. 3.What is 9³? =
4. 4.A trapezium has parallel sides of 6 cm and 5 cm, and the distance between them is 12 cm. What is its area (in square cm)?
5. 5.What is the value of 2⁻¹ (as a fraction)? =
6. 6.Use (a + b)(a − b) = a² − b² to find 83 × 77.
7. 7.What is the value of 10⁵ × 10⁻²? =
8. 8.What is 2³? =
9. 9.Which of these is a perfect cube? (a) 2744 (b) 3323 (c) 3287
10. 10.What is the difference between the compound interest and the simple interest on ₹22500 at 8% per year for 2 years (in ₹)?
11. 11.Which of these is a perfect cube? (a) 2197 (b) 2233 (c) 2238
12. 12.Solve: m/5 + m/6 = 88. What is m?
13. 13.1.8 × 10² =
14. 14.What is √144? =
15. 15.What amount will ₹40000 grow to in 3 years at 15% per year compound interest (in ₹)?
16. 16.Write (2⁴)⁷ as a single power 2ⁿ. What is n?
17. 17.A cuboid is 3 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
18. 18.How many whole numbers lie between 36² and 37²?
19. 19.The length of a rectangle is 10 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
20. 20.A room is 11 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
21. 21.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
22. 22.What amount will ₹14400 grow to in 2 years at 5% per year compound interest (in ₹)?
23. 23.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
24. 24.What is the difference between the compound interest and the simple interest on ₹52500 at 4% per year for 2 years (in ₹)?
25. 25.What amount will ₹45600 grow to in 2 years at 5% per year compound interest (in ₹)?
26. 26.A trapezium has an area of 240 square cm. Its parallel sides are 22 cm and 8 cm. What is the distance between them (in cm)?
27. 27.What is the difference between the compound interest and the simple interest on ₹30000 at 8% per year for 2 years (in ₹)?
28. 28.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
29. 29.If a − b = 3 and ab = 4, what is a² + b²?
30. 30.Find the value of x² − 2xy + y² when x = 5 and y = 2.
31. 31.What is 16³? =
32. 32.Which of these is a perfect square? (a) 798 (b) 784 (c) 838
33. 33.What is the smallest whole number by which 48 must be divided to get a perfect square?
34. 34.What is ∛5832? =
35. 35.Find the compound interest on ₹42400 at 25% per year for 2 years, compounded every year (in ₹).
36. 36.Which of these is a perfect square? (a) 1644 (b) 1679 (c) 1600
37. 37.A cuboid is 7 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
38. 38.The length of a rectangle is 8 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
39. 39.Use a² − b² = (a + b)(a − b) to find 54² − 2².
40. 40.Use a² − b² = (a + b)(a − b) to find 90² − 45².

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