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.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 2.Write (2⁹)⁴ as a single power 2ⁿ. What is n?
- 3.Solve: m/2 + m/4 = 24. What is m?
- 4.Which of these is a perfect square? (a) 196 (b) 202 (c) 205
- 5.Use (a + b)² = a² + 2ab + b² to find 52².
- 6.A town has 27600 people. The population grows by 15% every year. What will the population be after 2 years?
- 7.Use (a − b)² = a² − 2ab + b² to find 84².
- 8.How many whole numbers lie between 10² and 11²?
- 9.What is ∛6859? =
- 10.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
- 11.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
- 12.What is ∛8000? =
- 13.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
- 14.8.5 × 10⁶ =
- 15.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
- 16.Find the compound interest on ₹57600 at 25% per year for 3 years, compounded every year (in ₹).
- 17.What is 5³? =
- 18.What is the value of 2⁻⁹ (as a fraction)? =
- 19.Use a² − b² = (a + b)(a − b) to find 53² − 21².
- 20.What is ∛729? =
- 21.What is the value of 7⁻² (as a fraction)? =
- 22.What is the value of 3⁴? =
- 23.What is √8100? =
- 24.What is 54²? =
- 25.What is the value of 3⁵? =
- 26.What is the smallest whole number by which 960 must be divided to get a perfect square?
- 27.What is √8836? =
- 28.What is the value of (4/7)⁻¹? =
- 29.What is the value of 2¹⁴? =
- 30.Solve: x/2 + x/4 = 18. What is x?
- 31.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 32.Solve: m/2 + m/3 = 20. What is m?
- 33.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
- 34.The sum of four consecutive whole numbers is 90. What is the largest of them?
- 35.A trapezium has an area of 255 square cm. Its parallel sides are 25 cm and 26 cm. What is the distance between them (in cm)?
- 36.Which of these is a perfect square? (a) 711 (b) 676 (c) 710
- 37.Solve: 7n + 17 = 2n + 27. What is n?
- 38.A father is 8 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
- 39.Write 7.4 × 10⁻⁴ as a decimal. =
- 40.Which of these is a perfect square? (a) 729 (b) 742 (c) 747
Answer key
- 150
- 36
- 32
- 196
- 2704
- 36501
- 7056
- 20
- 19
- 120
- 5
- 20
- 64
- 8500000
- 20
- 54900
- 125
- 1/512
- 2368
- 9
- 1/49
- 81
- 90
- 2916
- 243
- 15
- 94
- 7/4
- 16384
- 24
- 8
- 24
- 144
- 24
- 10
- 676
- 2
- 2
- 0.00074
- 729
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