Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 234 · 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.What is 14²? =
2. 2.Use (a − b)² = a² − 2ab + b² to find 27².
3. 3.Solve: n/6 + n/2 = 28. What is n?
4. 4.What is 32²? =
5. 5.What is the smallest whole number by which 500 must be divided to get a perfect cube?
6. 6.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
7. 7.Find the value of x² + 2xy + y² when x = 14 and y = 9.
8. 8.What is the smallest whole number by which 135 must be divided to get a perfect square?
9. 9.What is the value of 2⁻⁸ (as a fraction)? =
10. 10.A cuboid is 15 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?
11. 11.A trapezium has an area of 129 square cm. Its parallel sides are 28 cm and 15 cm. What is the distance between them (in cm)?
12. 12.Solve: 3(m − 5) = m + 11. What is m?
13. 13.Write 6.7 × 10⁻³ as a decimal. =
14. 14.A scooter is worth ₹45100. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
15. 15.What is the difference between the compound interest and the simple interest on ₹9800 at 20% per year for 2 years (in ₹)?
16. 16.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
17. 17.What is √729? =
18. 18.A square garden has an area of 289 square m. How long is each side (in m)?
19. 19.What is 73²? =
20. 20.What is the difference between the compound interest and the simple interest on ₹18200 at 10% per year for 2 years (in ₹)?
21. 21.A trapezium has parallel sides of 23 cm and 21 cm, and the distance between them is 16 cm. What is its area (in square cm)?
22. 22.A room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
23. 23.Write (9⁴)⁷ as a single power 9ⁿ. What is n?
24. 24.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
25. 25.The diagonals of a rhombus are 26 cm and 15 cm. What is its area (in square cm)?
26. 26.A trapezium has an area of 33 square cm. Its parallel sides are 25 cm and 8 cm. What is the distance between them (in cm)?
27. 27.What is the difference between the compound interest and the simple interest on ₹60000 at 8% per year for 2 years (in ₹)?
28. 28.If a + b = 9 and ab = 18, what is a² + b²?
29. 29.How many whole numbers lie between 19² and 20²?
30. 30.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
31. 31.Which of these is a perfect square? (a) 274 (b) 260 (c) 256
32. 32.Use (a + b)(a − b) = a² − b² to find 81 × 79.
33. 33.Write 5.3 × 10⁻⁴ as a decimal. =
34. 34.A scooter is worth ₹55600. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
35. 35.How many whole numbers lie between 11² and 12²?
36. 36.Solve: m/3 + m/5 = 56. What is m?
37. 37.Write 9¹¹ ÷ 9⁶ as a single power 9ⁿ. What is n?
38. 38.What is the smallest whole number by which 343 must be divided to get a perfect square?
39. 39.Use (a + b)² = a² + 2ab + b² to find 54².
40. 40.A town has 5800 people. The population grows by 10% every year. What will the population be after 2 years?

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