Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 947 · 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)² = a² − 2ab + b² to find 29².
2. 2.A square garden has an area of 3249 square m. How long is each side (in m)?
3. 3.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
4. 4.Use (a + b)(a − b) = a² − b² to find 95 × 85.
5. 5.What is the value of 9⁴? =
6. 6.Solve: p/6 + p/5 = 77. What is p?
7. 7.Which of these is a perfect cube? (a) 3375 (b) 3854 (c) 3467
8. 8.Use (a + b)(a − b) = a² − b² to find 33 × 27.
9. 9.A room is 6 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
10. 10.A square garden has an area of 1369 square m. How long is each side (in m)?
11. 11.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
12. 12.Write 6¹⁰ ÷ 6⁸ as a single power 6ⁿ. What is n?
13. 13.Solve: 8m + 2 = 6m + 28. What is m?
14. 14.Which of these is a perfect cube? (a) 964 (b) 784 (c) 729
15. 15.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
16. 16.What is the smallest whole number by which 448 must be multiplied to get a perfect square?
17. 17.What is ∛15625? =
18. 18.Solve: 4t + 6 = 3t + 7. What is t?
19. 19.What is the value of 9⁵? =
20. 20.A scooter is worth ₹38400. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
21. 21.Use a² − b² = (a + b)(a − b) to find 37² − 26².
22. 22.A trapezium has parallel sides of 19 cm and 15 cm, and the distance between them is 15 cm. What is its area (in square cm)?
23. 23.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
24. 24.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
25. 25.Write 7.4 × 10⁻⁴ as a decimal. =
26. 26.A cuboid is 14 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
27. 27.What amount will ₹41200 grow to in 2 years at 25% per year compound interest (in ₹)?
28. 28.Which of these is a perfect cube? (a) 1000 (b) 1115 (c) 1180
29. 29.What amount will ₹20000 grow to in 2 years at 5% per year compound interest (in ₹)?
30. 30.Find the compound interest on ₹3200 at 25% per year for 3 years, compounded every year (in ₹).
31. 31.What is 56²? =
32. 32.Solve: t/4 + t/6 = 15. What is t?
33. 33.What is 5³? =
34. 34.Use (a + b)(a − b) = a² − b² to find 109 × 91.
35. 35.Use (a + b)² = a² + 2ab + b² to find 65².
36. 36.Find the compound interest on ₹16400 at 12% per year for 1 year, compounded every year (in ₹).
37. 37.Which of these is a perfect cube? (a) 42 (b) 50 (c) 27
38. 38.The sum of four consecutive whole numbers is 126. What is the smallest of them?
39. 39.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
40. 40.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?

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