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 cuboid is 3 cm long, 10 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 2.What is the smallest whole number by which 375 must be multiplied to get a perfect square?
- 3.Find the compound interest on ₹56400 at 10% per year for 1 year, compounded every year (in ₹).
- 4.A trapezium has parallel sides of 24 cm and 21 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 5.Solve: m/6 + m/3 = 21. What is m?
- 6.What is ∛13824? =
- 7.Find the compound interest on ₹34400 at 4% per year for 1 year, compounded every year (in ₹).
- 8.How many whole numbers lie between 25² and 26²?
- 9.A square garden has an area of 49 square m. How long is each side (in m)?
- 10.Use (a + b)² = a² + 2ab + b² to find 49².
- 11.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 12.A cuboid is 11 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 13.Use (a + b)(a − b) = a² − b² to find 32 × 28.
- 14.Solve: 5(t − 3) = t + 5. What is t?
- 15.Use (a + b)(a − b) = a² − b² to find 27 × 13.
- 16.Write 2.2 × 10⁻⁴ as a decimal. =
- 17.What is the value of 4³? =
- 18.Write (9⁷)⁷ as a single power 9ⁿ. What is n?
- 19.A cuboid is 5 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 20.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
- 21.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
- 22.What is the value of 4⁻¹ (as a fraction)? =
- 23.A room is 11 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
- 24.A trapezium has an area of 186 square cm. Its parallel sides are 26 cm and 5 cm. What is the distance between them (in cm)?
- 25.Write 3.8 × 10⁻³ as a decimal. =
- 26.Solve: 5x + 5 = x + 53. What is x?
- 27.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 28.A trapezium has parallel sides of 28 cm and 13 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 29.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
- 30.Solve: 7t + 14 = 2t + 74. What is t?
- 31.What is the difference between the compound interest and the simple interest on ₹4400 at 15% per year for 2 years (in ₹)?
- 32.Use (a + b)² = a² + 2ab + b² to find 32².
- 33.Which of these is a perfect cube? (a) 216 (b) 260 (c) 229
- 34.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 35.Solve: x/2 + x/6 = 28. What is x?
- 36.A square garden has an area of 196 square m. How long is each side (in m)?
- 37.What is the value of 5⁶? =
- 38.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 39.A scooter is worth ₹27500. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
- 40.What is the value of 2³? =
Answer key
- 294
- 15
- 5640
- 180
- 42
- 24
- 1376
- 50
- 7
- 2401
- 216
- 506
- 896
- 5
- 351
- 0.00022
- 64
- 49
- 334
- 484
- 6
- 1/4
- 200
- 12
- 0.0038
- 12
- 64
- 123
- 24
- 12
- 99
- 1024
- 216
- 3
- 42
- 14
- 15625
- 384
- 21296
- 8
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