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.Solve: 9m + 5 = 3m + 17. What is m?
- 2.Write 9⁸ ÷ 9⁵ as a single power 9ⁿ. What is n?
- 3.Write 8.1 × 10⁻¹ as a decimal. =
- 4.Solve: 4x + 13 = x + 40. What is x?
- 5.What is the value of 3⁶ × 3⁻⁶? =
- 6.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
- 7.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
- 8.Solve: y/5 + y/2 = 56. What is y?
- 9.Use a² − b² = (a + b)(a − b) to find 84² − 55².
- 10.What is the value of 5¹ × 5⁻⁵? =
- 11.Use (a + b)(a − b) = a² − b² to find 24 × 16.
- 12.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
- 13.What is √484? =
- 14.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 15.What is the smallest whole number by which 567 must be multiplied to get a perfect square?
- 16.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 9 cm. What is its area (in square cm)?
- 17.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 18.Write 5.7 × 10⁻¹ as a decimal. =
- 19.The length of a rectangle is 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
- 20.Use a² − b² = (a + b)(a − b) to find 93² − 13².
- 21.What is ∛5832? =
- 22.Solve: 4p + 8 = p + 26. What is p?
- 23.What is the value of 7⁻³ (as a fraction)? =
- 24.Write 8.4 × 10⁻⁴ as a decimal. =
- 25.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
- 26.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
- 27.Solve: 4(n − 1) = 3n + 3. What is n?
- 28.Find the compound interest on ₹52400 at 15% per year for 1 year, compounded every year (in ₹).
- 29.The length of a rectangle is 7 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
- 30.Which of these is a perfect square? (a) 676 (b) 698 (c) 726
- 31.Solve: 6(x − 4) = 4x + 8. What is x?
- 32.Write 4.7 × 10⁻¹ as a decimal. =
- 33.A square garden has an area of 3249 square m. How long is each side (in m)?
- 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
- 35.A room is 11 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
- 36.A cuboid is 10 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 37.Use (a − b)² = a² − 2ab + b² to find 66².
- 38.A trapezium has parallel sides of 23 cm and 25 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 39.What is ∛9261? =
- 40.What is the value of 3⁵ × 3⁻⁵? =
Answer key
- 2
- 3
- 0.81
- 9
- 1
- 3174
- 11
- 80
- 4031
- 1/625
- 384
- 3
- 22
- 27
- 7
- 72
- 27
- 0.57
- 14
- 8480
- 18
- 6
- 1/343
- 0.00084
- 5
- 2
- 7
- 7860
- 10
- 676
- 16
- 0.47
- 57
- 17
- 112
- 360
- 4356
- 480
- 21
- 1
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