Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 428 · 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.What amount will ₹41800 grow to in 1 year at 10% per year compound interest (in ₹)?
2. 2.A town has 2400 people. The population grows by 5% every year. What will the population be after 2 years?
3. 3.A room is 9 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
4. 4.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
5. 5.Write 6.5 × 10⁻¹ as a decimal. =
6. 6.Solve: 4(p − 3) = p + 30. What is p?
7. 7.Write (4⁵)⁷ as a single power 4ⁿ. What is n?
8. 8.What amount will ₹11800 grow to in 1 year at 25% per year compound interest (in ₹)?
9. 9.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
10. 10.Use (a − b)² = a² − 2ab + b² to find 53².
11. 11.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
12. 12.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
13. 13.What amount will ₹52500 grow to in 2 years at 8% per year compound interest (in ₹)?
14. 14.Use (a − b)² = a² − 2ab + b² to find 19².
15. 15.What is the difference between the compound interest and the simple interest on ₹12200 at 10% per year for 2 years (in ₹)?
16. 16.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
17. 17.A scooter is worth ₹24100. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
18. 18.A square garden has an area of 1296 square m. How long is each side (in m)?
19. 19.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
20. 20.What is the value of 5³ × 5⁻¹? =
21. 21.Use (a − b)² = a² − 2ab + b² to find 26².
22. 22.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
23. 23.What is the smallest whole number by which 52 must be divided to get a perfect square?
24. 24.Find the compound interest on ₹46500 at 10% per year for 2 years, compounded every year (in ₹).
25. 25.What is the value of (1/9)⁻¹? =
26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
27. 27.If a + b = 5 and ab = 6, what is a² + b²?
28. 28.Find the compound interest on ₹21200 at 20% per year for 2 years, compounded every year (in ₹).
29. 29.What is the value of 7⁻³ (as a fraction)? =
30. 30.The diagonals of a rhombus are 10 cm and 11 cm. What is its area (in square cm)?
31. 31.Use (a + b)² = a² + 2ab + b² to find 37².
32. 32.Write 130 in standard form as 1.3 × 10ⁿ. What is n?
33. 33.What amount will ₹42500 grow to in 3 years at 20% per year compound interest (in ₹)?
34. 34.The sum of four consecutive whole numbers is 134. What is the largest of them?
35. 35.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
36. 36.How many whole numbers lie between 10² and 11²?
37. 37.A cuboid is 3 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
38. 38.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
39. 39.Write 2¹⁴ ÷ 2⁹ as a single power 2ⁿ. What is n?
40. 40.What is 19³? =

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