Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 144 · 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 sum of four consecutive whole numbers is 38. What is the largest of them?
2. 2.Use (a + b)² = a² + 2ab + b² to find 106².
3. 3.Write 8.5 × 10⁻⁴ as a decimal. =
4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
5. 5.Find the value of x² + 2xy + y² when x = 3 and y = 1.
6. 6.A scooter is worth ₹33600. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
7. 7.What amount will ₹53500 grow to in 1 year at 8% per year compound interest (in ₹)?
8. 8.Write 7² × 7² as a single power 7ⁿ. What is n?
9. 9.What amount will ₹59200 grow to in 2 years at 15% per year compound interest (in ₹)?
10. 10.If a − b = 3 and ab = 54, what is a² + b²?
11. 11.Write 3⁶ × 3⁴ as a single power 3ⁿ. What is n?
12. 12.If a + b = 5 and ab = 4, what is a² + b²?
13. 13.What is √9409? =
14. 14.Write 3⁴ × 3⁸ as a single power 3ⁿ. What is n?
15. 15.What is the smallest whole number by which 75 must be divided to get a perfect square?
16. 16.What is the value of 10⁶ × 10⁻⁴? =
17. 17.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
18. 18.A cuboid is 3 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
19. 19.The diagonals of a rhombus are 8 cm and 13 cm. What is its area (in square cm)?
20. 20.If a + b = 14 and ab = 33, what is a² + b²?
21. 21.What is 47²? =
22. 22.What is √961? =
23. 23.What is the value of 2⁵ × 2⁻³? =
24. 24.Write 3¹¹ ÷ 3⁹ as a single power 3ⁿ. What is n?
25. 25.Write 8,50,00,000 in standard form as 8.5 × 10ⁿ. What is n?
26. 26.Use a² − b² = (a + b)(a − b) to find 33² − 6².
27. 27.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
28. 28.What is the difference between the compound interest and the simple interest on ₹38800 at 5% per year for 2 years (in ₹)?
29. 29.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
30. 30.What is the value of 3⁹? =
31. 31.A scooter is worth ₹32500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
32. 32.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
33. 33.What is ∛8? =
34. 34.Which of these is a perfect square? (a) 745 (b) 729 (c) 754
35. 35.A trapezium has parallel sides of 6 cm and 4 cm, and the distance between them is 5 cm. What is its area (in square cm)?
36. 36.How many whole numbers lie between 8² and 9²?
37. 37.Use (a + b)(a − b) = a² − b² to find 48 × 32.
38. 38.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
39. 39.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
40. 40.How many whole numbers lie between 34² and 35²?

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