Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 351 · 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 the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
2. 2.Solve: 6(m − 2) = 2m + 4. What is m?
3. 3.Write 2² × 2⁴ as a single power 2ⁿ. What is n?
4. 4.A father is 42 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
5. 5.What is 16³? =
6. 6.What is the value of 5⁶ × 5⁻²? =
7. 7.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
8. 8.Solve: 6(m − 4) = 4m + 14. What is m?
9. 9.A square garden has an area of 2500 square m. How long is each side (in m)?
10. 10.Write 2⁹ × 2² as a single power 2ⁿ. What is n?
11. 11.If a + b = 12 and ab = 20, what is a² + b²?
12. 12.What is the smallest whole number by which 72 must be multiplied to get a perfect square?
13. 13.What is the difference between the compound interest and the simple interest on ₹28000 at 5% per year for 2 years (in ₹)?
14. 14.Write (5²)⁴ as a single power 5ⁿ. What is n?
15. 15.What is the value of 10⁴ × 10⁻⁴? =
16. 16.Solve: 5x + 15 = 4x + 25. What is x?
17. 17.What amount will ₹13100 grow to in 1 year at 20% per year compound interest (in ₹)?
18. 18.A scooter is worth ₹40000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
19. 19.What is the value of 2¹⁰? =
20. 20.What is 63²? =
21. 21.A cuboid is 6 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
22. 22.The sum of two consecutive whole numbers is 11. What is the largest of them?
23. 23.Find the compound interest on ₹10700 at 5% per year for 1 year, compounded every year (in ₹).
24. 24.A scooter is worth ₹55500. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
25. 25.What is √1156? =
26. 26.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
27. 27.What is the difference between the compound interest and the simple interest on ₹50400 at 20% per year for 2 years (in ₹)?
28. 28.Use a² − b² = (a + b)(a − b) to find 24² − 1².
29. 29.Solve: 6p + 2 = p + 27. What is p?
30. 30.What is 17³? =
31. 31.A trapezium has parallel sides of 24 cm and 10 cm, and the distance between them is 7 cm. What is its area (in square cm)?
32. 32.Write 9.3 × 10⁻³ as a decimal. =
33. 33.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
34. 34.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
35. 35.What is 34²? =
36. 36.Which of these is a perfect square? (a) 100 (b) 109 (c) 105
37. 37.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
38. 38.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
39. 39.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
40. 40.Solve: 7x + 20 = 6x + 24. What is x?

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