Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 297 · 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 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
2. 2.What is the value of 2⁻⁴ (as a fraction)? =
3. 3.What is the smallest whole number by which 7 must be divided to get a perfect cube?
4. 4.If a + b = 8 and ab = 7, what is a² + b²?
5. 5.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
6. 6.The diagonals of a rhombus are 26 cm and 19 cm. What is its area (in square cm)?
7. 7.Write (2⁴)⁴ as a single power 2ⁿ. What is n?
8. 8.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
9. 9.A scooter is worth ₹15000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
10. 10.A cuboid is 10 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
11. 11.A town has 22600 people. The population grows by 15% every year. What will the population be after 1 year?
12. 12.What is the value of 10⁻² (as a fraction)? =
13. 13.Use a² − b² = (a + b)(a − b) to find 80² − 9².
14. 14.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
15. 15.A trapezium has parallel sides of 6 cm and 15 cm, and the distance between them is 10 cm. What is its area (in square cm)?
16. 16.If a − b = 2 and ab = 24, what is a² + b²?
17. 17.Solve: 3p + 13 = p + 31. What is p?
18. 18.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
19. 19.Use (a − b)² = a² − 2ab + b² to find 67².
20. 20.A cuboid is 9 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
21. 21.What is the value of (1/8)⁻¹? =
22. 22.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
23. 23.Write 1.6 × 10⁻³ as a decimal. =
24. 24.What is the value of 6⁴? =
25. 25.Which of these is a perfect cube? (a) 1000 (b) 1004 (c) 1144
26. 26.What is √3721? =
27. 27.A trapezium has an area of 228 square cm. Its parallel sides are 29 cm and 9 cm. What is the distance between them (in cm)?
28. 28.The sum of four consecutive whole numbers is 182. What is the smallest of them?
29. 29.What amount will ₹28800 grow to in 3 years at 25% per year compound interest (in ₹)?
30. 30.A square garden has an area of 676 square m. How long is each side (in m)?
31. 31.What amount will ₹55000 grow to in 2 years at 8% per year compound interest (in ₹)?
32. 32.What amount will ₹14000 grow to in 3 years at 10% per year compound interest (in ₹)?
33. 33.What is the value of 3⁷? =
34. 34.If a + b = 4 and ab = 3, what is a² + b²?
35. 35.Use (a − b)² = a² − 2ab + b² to find 47².
36. 36.If a − b = 1 and ab = 72, what is a² + b²?
37. 37.What is the value of 4⁶? =
38. 38.A trapezium has parallel sides of 28 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?
39. 39.What is ∛15625? =
40. 40.What is the difference between the compound interest and the simple interest on ₹11600 at 15% per year for 2 years (in ₹)?

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