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 cuboid is 4 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 2.What is the difference between the compound interest and the simple interest on ₹27500 at 12% per year for 2 years (in ₹)?
- 3.Use (a + b)(a − b) = a² − b² to find 48 × 32.
- 4.Write 1.9 × 10⁻³ as a decimal. =
- 5.What amount will ₹16900 grow to in 1 year at 4% per year compound interest (in ₹)?
- 6.A scooter is worth ₹27800. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
- 7.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
- 8.The sum of three consecutive whole numbers is 177. What is the smallest of them?
- 9.A trapezium has parallel sides of 30 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 10.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
- 11.Which of these is a perfect cube? (a) 1502 (b) 1385 (c) 1331
- 12.9.6 × 10³ =
- 13.The sum of two consecutive whole numbers is 37. What is the largest of them?
- 14.What is the difference between the compound interest and the simple interest on ₹58000 at 25% per year for 2 years (in ₹)?
- 15.5 × 10² =
- 16.A trapezium has parallel sides of 27 cm and 24 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 17.Solve: t/3 + t/4 = 7. What is t?
- 18.Solve: 3(x − 1) = 2x + 13. What is x?
- 19.What is the smallest whole number by which 56 must be divided to get a perfect cube?
- 20.7.6 × 10⁴ =
- 21.What is the value of 3⁶ × 3⁻²? =
- 22.Write 5.1 × 10⁻³ as a decimal. =
- 23.A trapezium has an area of 78 square cm. Its parallel sides are 6 cm and 20 cm. What is the distance between them (in cm)?
- 24.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 25.What is 5³? =
- 26.The length of a rectangle is 13 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
- 27.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 28.What is the difference between the compound interest and the simple interest on ₹14400 at 5% per year for 2 years (in ₹)?
- 29.Use a² − b² = (a + b)(a − b) to find 27² − 15².
- 30.What is the value of 2⁴ × 2⁻⁵? =
- 31.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
- 32.A cuboid is 5 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 33.What is √2209? =
- 34.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
- 35.A trapezium has parallel sides of 26 cm and 5 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 36.How many whole numbers lie between 25² and 26²?
- 37.Use (a − b)² = a² − 2ab + b² to find 69².
- 38.A trapezium has an area of 147 square cm. Its parallel sides are 13 cm and 29 cm. What is the distance between them (in cm)?
- 39.What is the smallest whole number by which 125 must be multiplied to get a perfect square?
- 40.A square garden has an area of 1369 square m. How long is each side (in m)?
Answer key
- 160
- 396
- 1536
- 0.0019
- 17576
- 22240
- 12
- 58
- 78
- 15
- 1331
- 9600
- 19
- 3625
- 500
- 204
- 12
- 16
- 7
- 76000
- 81
- 0.0051
- 6
- 160
- 125
- 2
- 14
- 36
- 504
- 1/2
- 19
- 184
- 47
- 7
- 62
- 50
- 4761
- 7
- 5
- 37
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