Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 539 · 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.Which of these is a perfect square? (a) 1399 (b) 1369 (c) 1441
2. 2.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
3. 3.Write 7,700 in standard form as 7.7 × 10ⁿ. What is n?
4. 4.Solve: 3(y − 5) = y + 21. What is y?
5. 5.Write 9.1 × 10⁻¹ as a decimal. =
6. 6.What is the value of 9⁻³ (as a fraction)? =
7. 7.The diagonals of a rhombus are 16 cm and 19 cm. What is its area (in square cm)?
8. 8.What is the smallest whole number by which 896 must be divided to get a perfect square?
9. 9.9.9 × 10³ =
10. 10.Find the compound interest on ₹52500 at 20% per year for 3 years, compounded every year (in ₹).
11. 11.Solve: 4n + 16 = 3n + 30. What is n?
12. 12.What is the value of 2⁻⁷ (as a fraction)? =
13. 13.What is the value of 3² × 3⁻¹? =
14. 14.A scooter is worth ₹3000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
15. 15.What is √2209? =
16. 16.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
17. 17.Use (a + b)(a − b) = a² − b² to find 63 × 57.
18. 18.What is the value of 4⁻⁴ (as a fraction)? =
19. 19.A cuboid is 10 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
20. 20.Use a² − b² = (a + b)(a − b) to find 65² − 58².
21. 21.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
22. 22.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?
23. 23.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
24. 24.If a − b = 4 and ab = 5, what is a² + b²?
25. 25.What is the smallest whole number by which 9 must be divided to get a perfect cube?
26. 26.The sum of two consecutive whole numbers is 21. What is the smallest of them?
27. 27.If a + b = 7 and ab = 10, what is a² + b²?
28. 28.Use (a + b)² = a² + 2ab + b² to find 95².
29. 29.Which of these is a perfect square? (a) 730 (b) 729 (c) 755
30. 30.A trapezium has parallel sides of 21 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
31. 31.A square garden has an area of 1024 square m. How long is each side (in m)?
32. 32.The sum of four consecutive whole numbers is 178. What is the smallest of them?
33. 33.What is the smallest whole number by which 192 must be divided to get a perfect cube?
34. 34.What is the value of 9⁴? =
35. 35.What is 41²? =
36. 36.If a − b = 4 and ab = 45, what is a² + b²?
37. 37.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
38. 38.What is the difference between the compound interest and the simple interest on ₹50000 at 8% per year for 2 years (in ₹)?
39. 39.What is ∛15625? =
40. 40.What is the smallest whole number by which 49 must be divided to get a perfect cube?

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