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.The sum of two consecutive whole numbers is 71. What is the smallest of them?
- 2.Find the compound interest on ₹16200 at 10% per year for 2 years, compounded every year (in ₹).
- 3.What amount will ₹9600 grow to in 1 year at 5% per year compound interest (in ₹)?
- 4.Use (a + b)(a − b) = a² − b² to find 33 × 27.
- 5.The sum of two consecutive whole numbers is 71. What is the largest of them?
- 6.What is 52²? =
- 7.A square garden has an area of 841 square m. How long is each side (in m)?
- 8.Solve: 3(t − 3) = 2t + 1. What is t?
- 9.What is 15³? =
- 10.Which of these is a perfect cube? (a) 2201 (b) 2322 (c) 2197
- 11.A trapezium has an area of 39 square cm. Its parallel sides are 30 cm and 9 cm. What is the distance between them (in cm)?
- 12.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
- 13.Which of these is a perfect cube? (a) 1080 (b) 1137 (c) 1000
- 14.Use (a + b)² = a² + 2ab + b² to find 28².
- 15.What is the smallest whole number by which 20 must be divided to get a perfect square?
- 16.What is 68²? =
- 17.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 18.What is the smallest whole number by which 320 must be divided to get a perfect cube?
- 19.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
- 20.What is ∛13824? =
- 21.A town has 7200 people. The population grows by 5% every year. What will the population be after 2 years?
- 22.What is √8281? =
- 23.What amount will ₹2000 grow to in 1 year at 8% per year compound interest (in ₹)?
- 24.What is 31²? =
- 25.The sum of four consecutive whole numbers is 102. What is the largest of them?
- 26.Find the compound interest on ₹5000 at 4% per year for 2 years, compounded every year (in ₹).
- 27.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
- 28.What is the difference between the compound interest and the simple interest on ₹15200 at 25% per year for 2 years (in ₹)?
- 29.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 30.What is the value of 2³ × 2⁻⁴? =
- 31.A scooter is worth ₹60000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
- 32.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 33.Solve: 6x + 15 = 5x + 19. What is x?
- 34.What is 11³? =
- 35.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 36.What is the value of 2⁴ × 2⁻⁶? =
- 37.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
- 38.What is the smallest whole number by which 891 must be multiplied to get a perfect square?
- 39.What is the value of 10⁻³ (as a fraction)? =
- 40.Which of these is a perfect cube? (a) 104 (b) 106 (c) 64
Answer key
- 35
- 3402
- 10080
- 891
- 36
- 2704
- 29
- 10
- 3375
- 2197
- 2
- 1176
- 1000
- 784
- 5
- 4624
- 216
- 5
- 625
- 24
- 7938
- 91
- 2160
- 961
- 27
- 408
- 8
- 950
- 125
- 1/2
- 50784
- 54
- 4
- 1331
- 8
- 1/4
- 12
- 11
- 1/1000
- 64
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