Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 461 · 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.Write 5⁷ ÷ 5³ as a single power 5ⁿ. What is n?
2. 2.If a + b = 13 and ab = 12, what is a² + b²?
3. 3.Find the value of x² + 2xy + y² when x = 13 and y = 12.
4. 4.Use (a + b)(a − b) = a² − b² to find 25 × 15.
5. 5.A father is 39 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
6. 6.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.What amount will ₹52500 grow to in 2 years at 8% per year compound interest (in ₹)?
8. 8.What is √2116? =
9. 9.A scooter is worth ₹40000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
10. 10.Use a² − b² = (a + b)(a − b) to find 76² − 40².
11. 11.What is 53²? =
12. 12.If a − b = 7 and ab = 60, what is a² + b²?
13. 13.What amount will ₹14500 grow to in 3 years at 20% per year compound interest (in ₹)?
14. 14.What is the value of (1/4)⁻²? =
15. 15.5.3 × 10⁴ =
16. 16.A cuboid is 10 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
17. 17.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
18. 18.What is the value of 3⁷? =
19. 19.Write 7.7 × 10⁻³ as a decimal. =
20. 20.What is the smallest whole number by which 125 must be divided to get a perfect square?
21. 21.Use (a − b)² = a² − 2ab + b² to find 76².
22. 22.Which of these is a perfect square? (a) 422 (b) 400 (c) 419
23. 23.What is the value of (3/4)⁻¹? =
24. 24.Which of these is a perfect square? (a) 900 (b) 959 (c) 949
25. 25.A father is 36 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
26. 26.Use (a − b)² = a² − 2ab + b² to find 19².
27. 27.Find the value of x² + 2xy + y² when x = 8 and y = 2.
28. 28.What is √6400? =
29. 29.Use (a + b)² = a² + 2ab + b² to find 82².
30. 30.The diagonals of a rhombus are 20 cm and 18 cm. What is its area (in square cm)?
31. 31.Find the compound interest on ₹40800 at 25% per year for 2 years, compounded every year (in ₹).
32. 32.Solve: 5(y − 2) = 4y + 5. What is y?
33. 33.Solve: 6(p − 2) = p + 53. What is p?
34. 34.A trapezium has parallel sides of 18 cm and 28 cm, and the distance between them is 20 cm. What is its area (in square cm)?
35. 35.What amount will ₹3200 grow to in 3 years at 25% per year compound interest (in ₹)?
36. 36.Solve: x/5 + x/2 = 28. What is x?
37. 37.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
38. 38.Which of these is a perfect square? (a) 195 (b) 187 (c) 169
39. 39.How many whole numbers lie between 7² and 8²?
40. 40.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?

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