Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 164 · 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.A father is 39 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
2. 2.Use (a + b)(a − b) = a² − b² to find 38 × 22.
3. 3.Write 5⁶ ÷ 5² as a single power 5ⁿ. What is n?
4. 4.Find the compound interest on ₹25000 at 8% per year for 2 years, compounded every year (in ₹).
5. 5.Use a² − b² = (a + b)(a − b) to find 62² − 17².
6. 6.A cuboid is 10 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
7. 7.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
8. 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
9. 9.Solve: t/4 + t/2 = 21. What is t?
10. 10.A trapezium has parallel sides of 26 cm and 27 cm, and the distance between them is 20 cm. What is its area (in square cm)?
11. 11.Use (a − b)² = a² − 2ab + b² to find 56².
12. 12.Which of these is a perfect cube? (a) 49 (b) 53 (c) 27
13. 13.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
14. 14.Solve: 3p + 20 = p + 34. What is p?
15. 15.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
16. 16.A cuboid is 7 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
17. 17.What amount will ₹52300 grow to in 1 year at 8% per year compound interest (in ₹)?
18. 18.Find the compound interest on ₹9600 at 25% per year for 3 years, compounded every year (in ₹).
19. 19.Use (a + b)² = a² + 2ab + b² to find 11².
20. 20.What amount will ₹21500 grow to in 1 year at 15% per year compound interest (in ₹)?
21. 21.Use (a − b)² = a² − 2ab + b² to find 36².
22. 22.Write 630 in standard form as 6.3 × 10ⁿ. What is n?
23. 23.A town has 8000 people. The population grows by 5% every year. What will the population be after 2 years?
24. 24.A trapezium has parallel sides of 21 cm and 20 cm, and the distance between them is 10 cm. What is its area (in square cm)?
25. 25.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
26. 26.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
27. 27.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
28. 28.Use a² − b² = (a + b)(a − b) to find 21² − 8².
29. 29.If a − b = 1 and ab = 2, what is a² + b²?
30. 30.A scooter is worth ₹11100. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
31. 31.Find the value of x² − y² when x = 7 and y = 3.
32. 32.A trapezium has an area of 186 square cm. Its parallel sides are 13 cm and 18 cm. What is the distance between them (in cm)?
33. 33.What is the value of 2²? =
34. 34.A father is 14 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
35. 35.What is 5³? =
36. 36.What is the value of 7⁻³ (as a fraction)? =
37. 37.A trapezium has an area of 35 square cm. Its parallel sides are 6 cm and 4 cm. What is the distance between them (in cm)?
38. 38.What is 12³? =
39. 39.Solve: x/2 + x/4 = 6. What is x?
40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?

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