Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 898 · 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 town has 7000 people. The population grows by 10% every year. What will the population be after 3 years?
2. 2.Write 3.1 × 10⁻⁴ as a decimal. =
3. 3.What is the smallest whole number by which 243 must be divided to get a perfect cube?
4. 4.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
5. 5.A square garden has an area of 3364 square m. How long is each side (in m)?
6. 6.Use (a + b)(a − b) = a² − b² to find 62 × 58.
7. 7.What is the value of 2¹⁴? =
8. 8.Write 1.9 × 10⁻⁴ as a decimal. =
9. 9.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
10. 10.Write 2¹⁰ ÷ 2⁶ as a single power 2ⁿ. What is n?
11. 11.Solve: 8n + 6 = 5n + 42. What is n?
12. 12.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
13. 13.What is 6³? =
14. 14.Write 1.4 × 10⁻⁴ as a decimal. =
15. 15.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
16. 16.Write 4 × 10⁻² as a decimal. =
17. 17.What is the smallest whole number by which 208 must be divided to get a perfect square?
18. 18.Find the value of x² − y² when x = 12 and y = 2.
19. 19.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
20. 20.Write 7.2 × 10⁻³ as a decimal. =
21. 21.A trapezium has parallel sides of 4 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
22. 22.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
23. 23.What is the value of (1/7)⁻¹? =
24. 24.Solve: 3(y − 3) = y + 17. What is y?
25. 25.A cuboid is 12 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
26. 26.Find the compound interest on ₹40400 at 10% per year for 2 years, compounded every year (in ₹).
27. 27.A cuboid is 14 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
28. 28.Use (a + b)² = a² + 2ab + b² to find 88².
29. 29.What amount will ₹21600 grow to in 2 years at 25% per year compound interest (in ₹)?
30. 30.A cuboid is 12 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
32. 32.How many whole numbers lie between 19² and 20²?
33. 33.Solve: 3t + 18 = 2t + 32. What is t?
34. 34.Find the value of x² − 2xy + y² when x = 10 and y = 2.
35. 35.If a − b = 2 and ab = 48, what is a² + b²?
36. 36.A scooter is worth ₹7200. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
37. 37.If a − b = 4 and ab = 96, what is a² + b²?
38. 38.Solve: 5p + 1 = 3p + 17. What is p?
39. 39.A cuboid is 14 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
40. 40.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets