Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 826 · 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.Solve: x/3 + x/2 = 5. What is x?
2. 2.What is ∛4913? =
3. 3.What is the smallest whole number by which 500 must be divided to get a perfect cube?
4. 4.If a + b = 10 and ab = 21, what is a² + b²?
5. 5.Solve: t/3 + t/2 = 5. What is t?
6. 6.What is the value of 3³ × 3⁻¹? =
7. 7.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
8. 8.Which of these is a perfect square? (a) 627 (b) 659 (c) 625
9. 9.A room is 8 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.A room is 8 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
11. 11.What is the value of 2¹⁴? =
12. 12.Solve: 4(p − 1) = 3p + 11. What is p?
13. 13.A cuboid is 14 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
15. 15.Use a² − b² = (a + b)(a − b) to find 46² − 19².
16. 16.Which of these is a perfect square? (a) 144 (b) 162 (c) 165
17. 17.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
18. 18.Find the value of x² − y² when x = 6 and y = 2.
19. 19.The diagonals of a rhombus are 24 cm and 24 cm. What is its area (in square cm)?
20. 20.Use a² − b² = (a + b)(a − b) to find 28² − 6².
21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
22. 22.What is ∛1728? =
23. 23.Use (a + b)² = a² + 2ab + b² to find 37².
24. 24.What is the smallest whole number by which 864 must be divided to get a perfect cube?
25. 25.Use (a + b)² = a² + 2ab + b² to find 19².
26. 26.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
27. 27.Use (a + b)² = a² + 2ab + b² to find 106².
28. 28.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
29. 29.Write 2⁵ × 2⁴ as a single power 2ⁿ. What is n?
30. 30.What amount will ₹54700 grow to in 2 years at 10% per year compound interest (in ₹)?
31. 31.What is the value of 4⁻¹ (as a fraction)? =
32. 32.Find the compound interest on ₹15000 at 20% per year for 3 years, compounded every year (in ₹).
33. 33.What is ∛2744? =
34. 34.A town has 12500 people. The population grows by 15% every year. What will the population be after 1 year?
35. 35.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
36. 36.Solve: x/2 + x/3 = 5. What is x?
37. 37.The sum of three consecutive whole numbers is 183. What is the smallest of them?
38. 38.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
39. 39.A trapezium has parallel sides of 16 cm and 29 cm, and the distance between them is 8 cm. What is its area (in square cm)?
40. 40.What is the value of 10³ × 10⁻⁶? =

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