Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 405 · 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.How many whole numbers lie between 43² and 44²?
2. 2.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
3. 3.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
4. 4.Which of these is a perfect cube? (a) 2235 (b) 2197 (c) 2465
5. 5.Use (a + b)² = a² + 2ab + b² to find 34².
6. 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
7. 7.A father is 18 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
8. 8.What is the difference between the compound interest and the simple interest on ₹50000 at 25% per year for 2 years (in ₹)?
9. 9.If a + b = 3 and ab = 2, what is a² + b²?
10. 10.Find the value of x² − y² when x = 3 and y = 1.
11. 11.What is 9³? =
12. 12.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
13. 13.Which of these is a perfect square? (a) 400 (b) 425 (c) 401
14. 14.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
15. 15.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
16. 16.Solve: 7m + 20 = m + 32. What is m?
17. 17.What is the smallest whole number by which 128 must be divided to get a perfect square?
18. 18.What is the value of 3²? =
19. 19.What is the value of 10⁴? =
20. 20.A cuboid is 7 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
21. 21.What is the value of (2/3)⁻²? =
22. 22.A scooter is worth ₹7000. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
23. 23.A cuboid is 15 cm long, 6 cm wide and 5 cm high. What is its total surface area (in square cm)?
24. 24.Find the compound interest on ₹46400 at 25% per year for 3 years, compounded every year (in ₹).
25. 25.Write 3,40,000 in standard form as 3.4 × 10ⁿ. What is n?
26. 26.Write 7.1 × 10⁻³ as a decimal. =
27. 27.What amount will ₹26400 grow to in 2 years at 5% per year compound interest (in ₹)?
28. 28.What is the smallest whole number by which 325 must be divided to get a perfect square?
29. 29.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 14 cm and 10 cm. What is its area (in square cm)?
31. 31.Use a² − b² = (a + b)(a − b) to find 98² − 11².
32. 32.A cuboid is 14 cm long, 7 cm wide and 2 cm high. What is its total surface area (in square cm)?
33. 33.A trapezium has an area of 141 square cm. Its parallel sides are 22 cm and 25 cm. What is the distance between them (in cm)?
34. 34.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
35. 35.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
36. 36.A trapezium has an area of 112 square cm. Its parallel sides are 21 cm and 7 cm. What is the distance between them (in cm)?
37. 37.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
38. 38.What is 88²? =
39. 39.If a − b = 4 and ab = 21, what is a² + b²?
40. 40.Write (4²)⁵ as a single power 4ⁿ. What is n?

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