Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 703 · 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.Write 350 in standard form as 3.5 × 10ⁿ. What is n?
2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
3. 3.Use (a + b)² = a² + 2ab + b² to find 53².
4. 4.A trapezium has parallel sides of 22 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
5. 5.Find the compound interest on ₹56000 at 25% per year for 3 years, compounded every year (in ₹).
6. 6.A father is 48 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
7. 7.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
8. 8.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
9. 9.What is the value of 4³? =
10. 10.What is √9025? =
11. 11.Find the compound interest on ₹15000 at 4% per year for 2 years, compounded every year (in ₹).
12. 12.A scooter is worth ₹6800. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
13. 13.What is the value of 3²? =
14. 14.A scooter is worth ₹18200. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
15. 15.What is the smallest whole number by which 500 must be divided to get a perfect cube?
16. 16.What amount will ₹21700 grow to in 1 year at 8% per year compound interest (in ₹)?
17. 17.Use (a + b)² = a² + 2ab + b² to find 24².
18. 18.Solve: 7y + 10 = 6y + 12. What is y?
19. 19.If a − b = 2 and ab = 3, what is a² + b²?
20. 20.Which of these is a perfect cube? (a) 1623 (b) 1331 (c) 1461
21. 21.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
22. 22.A trapezium has an area of 140 square cm. Its parallel sides are 26 cm and 9 cm. What is the distance between them (in cm)?
23. 23.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
24. 24.Use (a − b)² = a² − 2ab + b² to find 67².
25. 25.What is the value of 3¹ × 3⁻⁵? =
26. 26.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
27. 27.Use (a + b)(a − b) = a² − b² to find 89 × 71.
28. 28.What is the value of 2³ × 2⁻⁴? =
29. 29.A trapezium has parallel sides of 24 cm and 21 cm, and the distance between them is 8 cm. What is its area (in square cm)?
30. 30.A trapezium has an area of 110 square cm. Its parallel sides are 27 cm and 17 cm. What is the distance between them (in cm)?
31. 31.How many whole numbers lie between 12² and 13²?
32. 32.Use (a − b)² = a² − 2ab + b² to find 89².
33. 33.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
34. 34.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
35. 35.Find the value of x² − 2xy + y² when x = 9 and y = 4.
36. 36.Use (a + b)² = a² + 2ab + b² to find 36².
37. 37.A scooter is worth ₹32600. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
38. 38.What is the smallest whole number by which 490 must be divided to get a perfect square?
39. 39.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
40. 40.Write 3 × 10⁻³ as a decimal. =

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