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.How many whole numbers lie between 20² and 21²?
- 2.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
- 3.A square garden has an area of 1521 square m. How long is each side (in m)?
- 4.A room is 7 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
- 5.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
- 6.Which of these is a perfect cube? (a) 27 (b) 44 (c) 34
- 7.A square garden has an area of 2809 square m. How long is each side (in m)?
- 8.What is ∛12167? =
- 9.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 10.Write (8⁶)⁴ as a single power 8ⁿ. What is n?
- 11.What is 4³? =
- 12.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
- 13.What is the difference between the compound interest and the simple interest on ₹8400 at 15% per year for 2 years (in ₹)?
- 14.7.4 × 10⁵ =
- 15.Write 8.8 × 10⁻² as a decimal. =
- 16.What is the value of 9⁻² (as a fraction)? =
- 17.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
- 18.What is √6400? =
- 19.If a + b = 15 and ab = 44, what is a² + b²?
- 20.A square garden has an area of 400 square m. How long is each side (in m)?
- 21.Use (a + b)² = a² + 2ab + b² to find 39².
- 22.A scooter is worth ₹44000. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
- 23.Solve: 3y + 5 = y + 19. What is y?
- 24.Use (a + b)² = a² + 2ab + b² to find 47².
- 25.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
- 26.What is the value of 9⁴? =
- 27.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
- 28.A town has 5000 people. The population grows by 20% every year. What will the population be after 3 years?
- 29.Use a² − b² = (a + b)(a − b) to find 72² − 8².
- 30.What is the value of 2⁻⁶ (as a fraction)? =
- 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 32.Which of these is a perfect square? (a) 1664 (b) 1667 (c) 1600
- 33.Solve: 4t + 14 = t + 29. What is t?
- 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
- 35.The sum of two consecutive whole numbers is 11. What is the largest of them?
- 36.Write 4¹³ ÷ 4⁵ as a single power 4ⁿ. What is n?
- 37.Write 4.7 × 10⁻⁴ as a decimal. =
- 38.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
- 39.What is ∛343? =
- 40.What is the value of 2⁻⁴ (as a fraction)? =
Answer key
- 40
- 4
- 39
- 112
- 625
- 27
- 53
- 23
- 1734
- 24
- 64
- 5
- 189
- 740000
- 0.088
- 1/81
- 6
- 80
- 137
- 20
- 1521
- 39710
- 7
- 2209
- 6
- 6561
- 864
- 8640
- 5120
- 1/64
- 64
- 1600
- 5
- 17
- 6
- 8
- 0.00047
- 84
- 7
- 1/16
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