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 room is 4 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
- 2.Solve: 5y + 11 = 4y + 12. What is y?
- 3.A trapezium has an area of 460 square cm. Its parallel sides are 20 cm and 26 cm. What is the distance between them (in cm)?
- 4.What amount will ₹33800 grow to in 1 year at 12% per year compound interest (in ₹)?
- 5.A square garden has an area of 2916 square m. How long is each side (in m)?
- 6.What is the smallest whole number by which 32 must be divided to get a perfect cube?
- 7.What is 20²? =
- 8.7.5 × 10⁵ =
- 9.How many whole numbers lie between 26² and 27²?
- 10.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
- 11.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
- 12.What is the value of 8⁵? =
- 13.Which of these is a perfect cube? (a) 2197 (b) 2310 (c) 2458
- 14.Which of these is a perfect cube? (a) 65 (b) 96 (c) 64
- 15.What is ∛2197? =
- 16.If a + b = 5 and ab = 4, what is a² + b²?
- 17.What is the difference between the compound interest and the simple interest on ₹8000 at 10% per year for 2 years (in ₹)?
- 18.A trapezium has parallel sides of 6 cm and 21 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 19.What is ∛8000? =
- 20.Solve: 3n + 3 = 2n + 6. What is n?
- 21.What is ∛9261? =
- 22.Use a² − b² = (a + b)(a − b) to find 78² − 14².
- 23.Use (a − b)² = a² − 2ab + b² to find 28².
- 24.What is the smallest whole number by which 343 must be multiplied to get a perfect square?
- 25.If a + b = 3 and ab = 2, what is a² + b²?
- 26.The sum of four consecutive whole numbers is 78. What is the smallest of them?
- 27.Which of these is a perfect square? (a) 142 (b) 130 (c) 121
- 28.A cuboid is 3 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 29.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 30.Use (a − b)² = a² − 2ab + b² to find 39².
- 31.A town has 46100 people. The population grows by 5% every year. What will the population be after 1 year?
- 32.What is the value of 4⁸? =
- 33.How many whole numbers lie between 32² and 33²?
- 34.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 3 cm. What is its area (in square cm)?
- 35.Use (a + b)² = a² + 2ab + b² to find 43².
- 36.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
- 37.What is 8³? =
- 38.Write 7⁹ ÷ 7² as a single power 7ⁿ. What is n?
- 39.What is the difference between the compound interest and the simple interest on ₹41500 at 20% per year for 2 years (in ₹)?
- 40.A father is 18 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
Answer key
- 90
- 1
- 20
- 37856
- 54
- 4
- 400
- 750000
- 52
- 3
- 2400
- 32768
- 2197
- 64
- 13
- 17
- 80
- 81
- 20
- 3
- 21
- 5888
- 784
- 7
- 5
- 18
- 121
- 174
- 10
- 1521
- 48405
- 65536
- 64
- 24
- 1849
- 23
- 512
- 7
- 1660
- 5
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