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 86²? =
- 2.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
- 3.A room is 12 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
- 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 5.The diagonals of a rhombus are 14 cm and 14 cm. What is its area (in square cm)?
- 6.Use (a + b)(a − b) = a² − b² to find 71 × 69.
- 7.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
- 9.A trapezium has parallel sides of 19 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 10.Use (a + b)² = a² + 2ab + b² to find 102².
- 11.What amount will ₹26400 grow to in 2 years at 15% per year compound interest (in ₹)?
- 12.What is the difference between the compound interest and the simple interest on ₹30000 at 4% per year for 2 years (in ₹)?
- 13.What is √1296? =
- 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
- 15.Write 3.8 × 10⁻¹ as a decimal. =
- 16.What is the value of 5⁵? =
- 17.How many whole numbers lie between 50² and 51²?
- 18.A town has 40000 people. The population grows by 10% every year. What will the population be after 3 years?
- 19.Which of these is a perfect square? (a) 481 (b) 441 (c) 456
- 20.What amount will ₹30800 grow to in 2 years at 5% per year compound interest (in ₹)?
- 21.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
- 22.Which of these is a perfect square? (a) 1496 (b) 1486 (c) 1444
- 23.What is the value of 10² × 10⁻³? =
- 24.Find the compound interest on ₹56500 at 5% per year for 1 year, compounded every year (in ₹).
- 25.What is the difference between the compound interest and the simple interest on ₹19200 at 15% per year for 2 years (in ₹)?
- 26.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
- 27.Solve: y/4 + y/6 = 40. What is y?
- 28.9.6 × 10³ =
- 29.Which of these is a perfect square? (a) 625 (b) 666 (c) 646
- 30.The diagonals of a rhombus are 10 cm and 25 cm. What is its area (in square cm)?
- 31.A square garden has an area of 1444 square m. How long is each side (in m)?
- 32.A father is 39 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?
- 33.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
- 34.Solve: x/5 + x/6 = 11. What is x?
- 35.Solve: t/4 + t/3 = 7. What is t?
- 36.What is the value of 10¹ × 10⁻³? =
- 37.Solve: p/4 + p/6 = 15. What is p?
- 38.What is the difference between the compound interest and the simple interest on ₹5000 at 4% per year for 2 years (in ₹)?
- 39.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 40.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
Answer key
- 7396
- 19
- 160
- 27
- 98
- 4899
- 64
- 26
- 88
- 10404
- 34914
- 48
- 36
- 14
- 0.38
- 3125
- 100
- 53240
- 441
- 33957
- 3
- 1444
- 1/10
- 2825
- 432
- 294
- 96
- 9600
- 625
- 125
- 38
- 6
- 14
- 30
- 12
- 1/100
- 36
- 8
- 8
- 104
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