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 difference between the compound interest and the simple interest on ₹52800 at 5% per year for 2 years (in ₹)?
- 2.A town has 6800 people. The population grows by 10% every year. What will the population be after 2 years?
- 3.A scooter is worth ₹2600. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
- 4.How many whole numbers lie between 29² and 30²?
- 5.Solve: 4(m − 3) = 2m + 20. What is m?
- 6.A square garden has an area of 729 square m. How long is each side (in m)?
- 7.How many whole numbers lie between 26² and 27²?
- 8.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 9.A square garden has an area of 3364 square m. How long is each side (in m)?
- 10.What is the value of 3⁵ × 3⁻⁶? =
- 11.What is the value of (2/7)⁻²? =
- 12.What is the value of 2⁷? =
- 13.What is the value of 5⁶? =
- 14.What is 20³? =
- 15.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
- 16.A father is 27 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
- 17.What is 75²? =
- 18.A room is 12 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
- 19.What is 4³? =
- 20.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 21.What amount will ₹21500 grow to in 3 years at 20% per year compound interest (in ₹)?
- 22.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
- 23.Solve: 5(y − 5) = 2y + 8. What is y?
- 24.What is the smallest whole number by which 343 must be multiplied to get a perfect square?
- 25.Which of these is a perfect square? (a) 676 (b) 707 (c) 709
- 26.A square garden has an area of 441 square m. How long is each side (in m)?
- 27.4.5 × 10² =
- 28.A trapezium has an area of 23 square cm. Its parallel sides are 5 cm and 18 cm. What is the distance between them (in cm)?
- 29.What is 83²? =
- 30.A scooter is worth ₹5200. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
- 31.Find the compound interest on ₹7400 at 10% per year for 1 year, compounded every year (in ₹).
- 32.What amount will ₹12400 grow to in 2 years at 15% per year compound interest (in ₹)?
- 33.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
- 34.Use (a − b)² = a² − 2ab + b² to find 37².
- 35.What amount will ₹30500 grow to in 1 year at 4% per year compound interest (in ₹)?
- 36.Solve: 5m + 5 = 2m + 23. What is m?
- 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
- 38.What is ∛10648? =
- 39.A trapezium has an area of 64 square cm. Its parallel sides are 9 cm and 23 cm. What is the distance between them (in cm)?
- 40.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
Answer key
- 132
- 8228
- 2340
- 58
- 16
- 27
- 52
- 384
- 58
- 1/3
- 49/4
- 128
- 15625
- 8000
- 2
- 7
- 5625
- 150
- 64
- 216
- 37152
- 676
- 11
- 7
- 676
- 21
- 450
- 2
- 6889
- 4992
- 740
- 16399
- 10
- 1369
- 31720
- 6
- 10
- 22
- 4
- 110
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