Class 8 Maths Final Test Worksheet
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.
NameDateTime takenScore ___ / 40
- 1.What is the value of 2¹²? =
- 2.How many whole numbers lie between 17² and 18²?
- 3.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
- 4.The sum of four consecutive whole numbers is 62. What is the largest of them?
- 5.A scooter is worth ₹42200. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
- 6.Use a² − b² = (a + b)(a − b) to find 96² − 90².
- 7.A cuboid is 6 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 9.What is 18³? =
- 10.Solve: 7y + 15 = y + 39. What is y?
- 11.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 12.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 13.Write 3⁶ × 3⁴ as a single power 3ⁿ. What is n?
- 14.Which of these is a perfect square? (a) 772 (b) 729 (c) 768
- 15.What is the value of 5⁻³ (as a fraction)? =
- 16.Solve: 6(t − 3) = 4t + 20. What is t?
- 17.Use (a − b)² = a² − 2ab + b² to find 54².
- 18.What is the smallest whole number by which 504 must be divided to get a perfect square?
- 19.How many whole numbers lie between 10² and 11²?
- 20.A square garden has an area of 1936 square m. How long is each side (in m)?
- 21.Solve: m/6 + m/2 = 24. What is m?
- 22.How many whole numbers lie between 45² and 46²?
- 23.3.7 × 10⁷ =
- 24.1.8 × 10² =
- 25.Which of these is a perfect cube? (a) 898 (b) 729 (c) 797
- 26.A trapezium has an area of 51 square cm. Its parallel sides are 26 cm and 8 cm. What is the distance between them (in cm)?
- 27.What is the difference between the compound interest and the simple interest on ₹60000 at 8% per year for 2 years (in ₹)?
- 28.What is the difference between the compound interest and the simple interest on ₹26100 at 20% per year for 2 years (in ₹)?
- 29.What is ∛9261? =
- 30.How many whole numbers lie between 11² and 12²?
- 31.Write 3¹⁷ ÷ 3⁸ as a single power 3ⁿ. What is n?
- 32.Find the compound interest on ₹25200 at 8% per year for 1 year, compounded every year (in ₹).
- 33.Solve: n/5 + n/2 = 28. What is n?
- 34.What is 16³? =
- 35.Which of these is a perfect square? (a) 592 (b) 580 (c) 576
- 36.Write (4⁹)⁵ as a single power 4ⁿ. What is n?
- 37.Solve: x/4 + x/6 = 40. What is x?
- 38.What is the value of 3⁻⁵ (as a fraction)? =
- 39.How many whole numbers lie between 8² and 9²?
- 40.What is the value of 10²? =
Answer key
- 4096
- 34
- 3
- 17
- 31650
- 1116
- 180
- 27
- 5832
- 4
- 216
- 64
- 10
- 729
- 1/125
- 19
- 2916
- 14
- 20
- 44
- 36
- 90
- 37000000
- 180
- 729
- 3
- 384
- 1044
- 21
- 22
- 9
- 2016
- 40
- 4096
- 576
- 45
- 96
- 1/243
- 16
- 100
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