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.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
- 2.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
- 3.The sum of three consecutive whole numbers is 27. What is the largest of them?
- 4.A trapezium has an area of 184 square cm. Its parallel sides are 10 cm and 13 cm. What is the distance between them (in cm)?
- 5.Solve: 3(n − 3) = n + 1. What is n?
- 6.Write 8,40,000 in standard form as 8.4 × 10ⁿ. What is n?
- 7.A cuboid is 13 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 8.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
- 9.A cuboid is 10 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
- 10.Which of these is a perfect square? (a) 1368 (b) 1345 (c) 1296
- 11.Solve: 5(m − 4) = 2m + 16. What is m?
- 12.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 13.7.9 × 10³ =
- 14.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
- 15.Which of these is a perfect square? (a) 423 (b) 404 (c) 400
- 16.Write 5⁴ × 5⁵ as a single power 5ⁿ. What is n?
- 17.Solve: 3(t − 5) = 2t + 4. What is t?
- 18.What is ∛125? =
- 19.A trapezium has an area of 126 square cm. Its parallel sides are 17 cm and 4 cm. What is the distance between them (in cm)?
- 20.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 21.What is √4489? =
- 22.What is 25²? =
- 23.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
- 24.What is 46²? =
- 25.Solve: 8t + 6 = 6t + 26. What is t?
- 26.Use (a − b)² = a² − 2ab + b² to find 34².
- 27.What is ∛8000? =
- 28.Which of these is a perfect cube? (a) 127 (b) 125 (c) 193
- 29.Use a² − b² = (a + b)(a − b) to find 22² − 16².
- 30.If a − b = 1 and ab = 12, what is a² + b²?
- 31.A square garden has an area of 784 square m. How long is each side (in m)?
- 32.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
- 33.What is the smallest whole number by which 675 must be divided to get a perfect cube?
- 34.How many whole numbers lie between 12² and 13²?
- 35.4.7 × 10⁵ =
- 36.Solve: t/6 + t/2 = 24. What is t?
- 37.What is ∛4913? =
- 38.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
- 39.What is √8100? =
- 40.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
Answer key
- 5
- 17
- 10
- 16
- 5
- 5
- 490
- 2
- 160
- 1296
- 12
- 2400
- 7900
- 280
- 400
- 9
- 19
- 5
- 12
- 27
- 67
- 625
- 24334
- 2116
- 10
- 1156
- 20
- 125
- 228
- 25
- 28
- 4
- 25
- 24
- 470000
- 36
- 17
- 20
- 90
- 112
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