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 cube has a volume of 512 cubic cm. How long is each edge (in cm)?
- 2.What amount will ₹11200 grow to in 3 years at 25% per year compound interest (in ₹)?
- 3.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
- 4.What is the difference between the compound interest and the simple interest on ₹18300 at 10% per year for 2 years (in ₹)?
- 5.The diagonals of a rhombus are 18 cm and 19 cm. What is its area (in square cm)?
- 6.Find the compound interest on ₹37100 at 15% per year for 1 year, compounded every year (in ₹).
- 7.A father is 24 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
- 8.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 9.A trapezium has an area of 323 square cm. Its parallel sides are 6 cm and 28 cm. What is the distance between them (in cm)?
- 10.A trapezium has parallel sides of 30 cm and 14 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 11.Solve: 8t + 5 = 2t + 89. What is t?
- 12.Which of these is a perfect square? (a) 583 (b) 576 (c) 597
- 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
- 14.What is ∛125? =
- 15.What amount will ₹10600 grow to in 1 year at 5% per year compound interest (in ₹)?
- 16.What is ∛10648? =
- 17.How many whole numbers lie between 13² and 14²?
- 18.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
- 19.What is √3364? =
- 20.The sum of two consecutive whole numbers is 55. What is the smallest of them?
- 21.What is the value of (1/5)⁻¹? =
- 22.What is the smallest whole number by which 243 must be divided to get a perfect square?
- 23.Write 9.2 × 10⁻⁴ as a decimal. =
- 24.Write 6⁴ × 6² as a single power 6ⁿ. What is n?
- 25.A trapezium has an area of 36 square cm. Its parallel sides are 7 cm and 29 cm. What is the distance between them (in cm)?
- 26.Which of these is a perfect square? (a) 625 (b) 649 (c) 672
- 27.The sum of two consecutive whole numbers is 99. What is the smallest of them?
- 28.A town has 10000 people. The population grows by 10% every year. What will the population be after 3 years?
- 29.The sum of two consecutive whole numbers is 13. What is the smallest of them?
- 30.What is the smallest whole number by which 96 must be divided to get a perfect square?
- 31.A room is 5 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
- 32.Use (a + b)² = a² + 2ab + b² to find 58².
- 33.Use a² − b² = (a + b)(a − b) to find 39² − 21².
- 34.A trapezium has an area of 168 square cm. Its parallel sides are 28 cm and 20 cm. What is the distance between them (in cm)?
- 35.What is the smallest whole number by which 648 must be divided to get a perfect cube?
- 36.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
- 37.What is the value of 6²? =
- 38.What is the value of 3⁵ × 3⁻³? =
- 39.What is √6400? =
- 40.What is the difference between the compound interest and the simple interest on ₹35000 at 4% per year for 2 years (in ₹)?
Answer key
- 8
- 21875
- 15
- 183
- 171
- 5565
- 4
- 216
- 19
- 264
- 14
- 576
- 12
- 5
- 11130
- 22
- 26
- 150
- 58
- 27
- 5
- 3
- 0.00092
- 6
- 2
- 625
- 49
- 13310
- 6
- 6
- 88
- 3364
- 1080
- 7
- 3
- 400
- 36
- 9
- 80
- 56
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