Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 946 · 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 17².
2. 2.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
3. 3.A trapezium has an area of 266 square cm. Its parallel sides are 22 cm and 6 cm. What is the distance between them (in cm)?
4. 4.What is the value of 2⁻⁴ (as a fraction)? =
5. 5.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
6. 6.A cuboid is 7 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
7. 7.What is the value of (2/3)⁻¹? =
8. 8.A square garden has an area of 49 square m. How long is each side (in m)?
9. 9.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
10. 10.A square garden has an area of 25 square m. How long is each side (in m)?
11. 11.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
12. 12.Find the compound interest on ₹18200 at 4% per year for 1 year, compounded every year (in ₹).
13. 13.Use (a + b)(a − b) = a² − b² to find 39 × 21.
14. 14.What is the value of 9⁻³ (as a fraction)? =
15. 15.What is √1024? =
16. 16.Use (a + b)(a − b) = a² − b² to find 37 × 23.
17. 17.A scooter is worth ₹14900. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
18. 18.Find the value of x² + 2xy + y² when x = 12 and y = 4.
19. 19.A trapezium has parallel sides of 24 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
20. 20.What is the value of 5⁻² (as a fraction)? =
21. 21.A cuboid is 15 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
22. 22.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
23. 23.Use (a − b)² = a² − 2ab + b² to find 35².
24. 24.A room is 11 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.Find the value of x² + 2xy + y² when x = 6 and y = 5.
26. 26.Write 7,40,000 in standard form as 7.4 × 10ⁿ. What is n?
27. 27.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
28. 28.How many whole numbers lie between 15² and 16²?
29. 29.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
30. 30.Write 5,700 in standard form as 5.7 × 10ⁿ. What is n?
31. 31.What amount will ₹11200 grow to in 1 year at 25% per year compound interest (in ₹)?
32. 32.Write (5⁶)⁶ as a single power 5ⁿ. What is n?
33. 33.What is the smallest whole number by which 18 must be divided to get a perfect square?
34. 34.What is the value of 2⁶? =
35. 35.Use a² − b² = (a + b)(a − b) to find 48² − 7².
36. 36.A room is 6 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
38. 38.What is ∛8? =
39. 39.What is 75²? =
40. 40.Use (a + b)(a − b) = a² − b² to find 101 × 99.

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