Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 17 · 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.Use (a + b)(a − b) = a² − b² to find 71 × 69.
2. 2.A town has 56000 people. The population grows by 15% every year. What will the population be after 3 years?
3. 3.If a − b = 2 and ab = 80, what is a² + b²?
4. 4.A cuboid is 9 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
5. 5.A trapezium has an area of 33 square cm. Its parallel sides are 7 cm and 4 cm. What is the distance between them (in cm)?
6. 6.Use (a + b)(a − b) = a² − b² to find 73 × 67.
7. 7.Solve: p/6 + p/4 = 20. What is p?
8. 8.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
9. 9.Write 14,00,000 in standard form as 1.4 × 10ⁿ. What is n?
10. 10.If a + b = 23 and ab = 132, what is a² + b²?
11. 11.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
12. 12.What is 36²? =
13. 13.What is the smallest whole number by which 250 must be divided to get a perfect cube?
14. 14.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
15. 15.What is the value of 2⁵ × 2⁻²? =
16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
17. 17.Find the value of x² − y² when x = 8 and y = 1.
18. 18.Solve: 4(p − 1) = p + 5. What is p?
19. 19.What is the value of 2¹⁵? =
20. 20.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
21. 21.A father is 18 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
22. 22.Use (a + b)(a − b) = a² − b² to find 42 × 38.
23. 23.Use (a − b)² = a² − 2ab + b² to find 51².
24. 24.Use (a + b)(a − b) = a² − b² to find 84 × 76.
25. 25.A trapezium has an area of 26 square cm. Its parallel sides are 8 cm and 18 cm. What is the distance between them (in cm)?
26. 26.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
27. 27.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
28. 28.What is the difference between the compound interest and the simple interest on ₹17200 at 15% per year for 2 years (in ₹)?
29. 29.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
30. 30.What is the smallest whole number by which 252 must be multiplied to get a perfect square?
31. 31.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
32. 32.Solve: 6(y − 4) = 5y + 13. What is y?
33. 33.Solve: 7t + 2 = 4t + 20. What is t?
34. 34.What is 13³? =
35. 35.A scooter is worth ₹41200. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
36. 36.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
37. 37.Which of these is a perfect cube? (a) 48 (b) 27 (c) 50
38. 38.What amount will ₹46600 grow to in 1 year at 5% per year compound interest (in ₹)?
39. 39.Find the compound interest on ₹52300 at 5% per year for 1 year, compounded every year (in ₹).
40. 40.Find the value of x² + 2xy + y² when x = 8 and y = 3.

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