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.What is the smallest whole number by which 112 must be divided to get a perfect square?
- 2.Solve: 3(x − 3) = x + 23. What is x?
- 3.A cuboid is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 4.What is √1296? =
- 5.The sum of two consecutive whole numbers is 107. What is the smallest of them?
- 6.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 7.A town has 35200 people. The population grows by 5% every year. What will the population be after 2 years?
- 8.Find the compound interest on ₹4800 at 25% per year for 3 years, compounded every year (in ₹).
- 9.Which of these is a perfect cube? (a) 1083 (b) 1000 (c) 1131
- 10.Find the compound interest on ₹59000 at 10% per year for 3 years, compounded every year (in ₹).
- 11.What amount will ₹27900 grow to in 1 year at 25% per year compound interest (in ₹)?
- 12.Solve: 3y + 13 = 2y + 28. What is y?
- 13.What is the value of 2⁻⁴ (as a fraction)? =
- 14.What is the value of 3⁶ × 3⁻³? =
- 15.Use (a − b)² = a² − 2ab + b² to find 72².
- 16.Find the value of x² − 2xy + y² when x = 11 and y = 6.
- 17.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
- 18.Use (a + b)² = a² + 2ab + b² to find 79².
- 19.Solve: n/4 + n/5 = 27. What is n?
- 20.What is the value of (8/9)⁻²? =
- 21.A trapezium has an area of 255 square cm. Its parallel sides are 18 cm and 16 cm. What is the distance between them (in cm)?
- 22.What is the difference between the compound interest and the simple interest on ₹21000 at 10% per year for 2 years (in ₹)?
- 23.A room is 5 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
- 24.A trapezium has an area of 180 square cm. Its parallel sides are 25 cm and 20 cm. What is the distance between them (in cm)?
- 25.Which of these is a perfect square? (a) 841 (b) 871 (c) 881
- 26.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
- 27.A cuboid is 3 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 28.What is the smallest whole number by which 9 must be divided to get a perfect cube?
- 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 30.How many whole numbers lie between 10² and 11²?
- 31.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
- 32.What is the difference between the compound interest and the simple interest on ₹57700 at 20% per year for 2 years (in ₹)?
- 33.A father is 54 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
- 34.Write (7⁸)⁹ as a single power 7ⁿ. What is n?
- 35.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
- 36.A trapezium has an area of 92 square cm. Its parallel sides are 13 cm and 10 cm. What is the distance between them (in cm)?
- 37.Find the compound interest on ₹50800 at 20% per year for 1 year, compounded every year (in ₹).
- 38.Solve: 8n + 7 = 7n + 11. What is n?
- 39.What is 27²? =
- 40.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
Answer key
- 7
- 16
- 536
- 36
- 53
- 150
- 38808
- 4575
- 1000
- 19529
- 34875
- 15
- 1/16
- 27
- 5184
- 25
- 256
- 6241
- 60
- 81/64
- 15
- 210
- 96
- 8
- 841
- 49
- 142
- 9
- 14
- 20
- 7
- 2308
- 11
- 72
- 170
- 8
- 10160
- 4
- 729
- 4
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