Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 793 · 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.Solve: m/6 + m/5 = 22. What is m?
2. 2.Solve: 5(x − 4) = x + 48. What is x?
3. 3.Write 9² × 9⁷ as a single power 9ⁿ. What is n?
4. 4.Use (a + b)(a − b) = a² − b² to find 92 × 88.
5. 5.Use (a − b)² = a² − 2ab + b² to find 74².
6. 6.What is the value of 2⁹? =
7. 7.Find the value of x² + 2xy + y² when x = 11 and y = 5.
8. 8.If a − b = 1 and ab = 2, what is a² + b²?
9. 9.What is the smallest whole number by which 108 must be divided to get a perfect cube?
10. 10.Write 4.7 × 10⁻² as a decimal. =
11. 11.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.What amount will ₹43800 grow to in 1 year at 25% per year compound interest (in ₹)?
13. 13.What is the smallest whole number by which 175 must be multiplied to get a perfect square?
14. 14.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
15. 15.A scooter is worth ₹38400. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
16. 16.A town has 6300 people. The population grows by 8% every year. What will the population be after 1 year?
17. 17.Solve: 4(m − 5) = 2m + 22. What is m?
18. 18.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
19. 19.A scooter is worth ₹17900. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
20. 20.A trapezium has parallel sides of 26 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
21. 21.What is the value of 3² × 3⁻⁴? =
22. 22.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
23. 23.Find the compound interest on ₹13900 at 10% per year for 1 year, compounded every year (in ₹).
24. 24.A square garden has an area of 529 square m. How long is each side (in m)?
25. 25.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
26. 26.What is 17³? =
27. 27.What amount will ₹54300 grow to in 2 years at 20% per year compound interest (in ₹)?
28. 28.The diagonals of a rhombus are 4 cm and 21 cm. What is its area (in square cm)?
29. 29.Solve: x/4 + x/2 = 9. What is x?
30. 30.Use (a + b)² = a² + 2ab + b² to find 95².
31. 31.Use (a + b)² = a² + 2ab + b² to find 43².
32. 32.Which of these is a perfect cube? (a) 1728 (b) 2014 (c) 1957
33. 33.Write 3² × 3⁸ as a single power 3ⁿ. What is n?
34. 34.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
35. 35.Which of these is a perfect cube? (a) 3262 (b) 2744 (c) 3194
36. 36.Use (a + b)² = a² + 2ab + b² to find 33².
37. 37.Use (a + b)(a − b) = a² − b² to find 89 × 71.
38. 38.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
39. 39.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
40. 40.A trapezium has parallel sides of 18 cm and 29 cm, and the distance between them is 10 cm. What is its area (in square cm)?

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