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.A trapezium has parallel sides of 9 cm and 25 cm, and the distance between them is 9 cm. What is its area (in square cm)?
- 2.Which of these is a perfect cube? (a) 34 (b) 49 (c) 27
- 3.What is the value of 10⁻³ (as a fraction)? =
- 4.What is √900? =
- 5.Find the compound interest on ₹48000 at 15% per year for 2 years, compounded every year (in ₹).
- 6.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 7.Which of these is a perfect cube? (a) 73 (b) 100 (c) 64
- 8.Write (5⁹)³ as a single power 5ⁿ. What is n?
- 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 10.What is 2³? =
- 11.What is √4489? =
- 12.Solve: 4(m − 3) = m + 6. What is m?
- 13.Find the compound interest on ₹15300 at 10% per year for 1 year, compounded every year (in ₹).
- 14.What amount will ₹10600 grow to in 1 year at 25% per year compound interest (in ₹)?
- 15.Which of these is a perfect square? (a) 101 (b) 104 (c) 100
- 16.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 17.A trapezium has an area of 70 square cm. Its parallel sides are 8 cm and 12 cm. What is the distance between them (in cm)?
- 18.What is the value of 2³ × 2⁻²? =
- 19.Use a² − b² = (a + b)(a − b) to find 34² − 15².
- 20.A trapezium has an area of 405 square cm. Its parallel sides are 30 cm and 24 cm. What is the distance between them (in cm)?
- 21.A cuboid is 8 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 22.What amount will ₹15300 grow to in 1 year at 12% per year compound interest (in ₹)?
- 23.What is 59²? =
- 24.Solve: 9y + 6 = 3y + 84. What is y?
- 25.A trapezium has parallel sides of 19 cm and 12 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 26.What is ∛64? =
- 27.What is the value of 5¹ × 5⁻⁴? =
- 28.What is 19³? =
- 29.What is 97²? =
- 30.A scooter is worth ₹35200. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
- 31.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
- 32.A town has 9900 people. The population grows by 25% every year. What will the population be after 1 year?
- 33.What is √441? =
- 34.The sum of four consecutive whole numbers is 74. What is the smallest of them?
- 35.A trapezium has parallel sides of 25 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 36.Solve: 7n + 10 = 2n + 35. What is n?
- 37.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 38.Write 2,50,000 in standard form as 2.5 × 10ⁿ. What is n?
- 39.Solve: 6x + 6 = 3x + 30. What is x?
- 40.What is √8100? =
Answer key
- 153
- 27
- 1/1000
- 30
- 15480
- 8
- 64
- 27
- 27
- 8
- 67
- 6
- 1530
- 13250
- 100
- 10
- 7
- 2
- 931
- 15
- 280
- 17136
- 3481
- 13
- 186
- 4
- 1/125
- 6859
- 9409
- 14850
- 19
- 12375
- 21
- 17
- 196
- 5
- 125
- 5
- 8
- 90
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