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 length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
- 2.A town has 37600 people. The population grows by 25% every year. What will the population be after 2 years?
- 3.Use (a + b)(a − b) = a² − b² to find 48 × 32.
- 4.Find the compound interest on ₹36000 at 20% per year for 2 years, compounded every year (in ₹).
- 5.Solve: 8y + 3 = 7y + 17. What is y?
- 6.What is √900? =
- 7.Solve: t/2 + t/3 = 15. What is t?
- 8.Use (a − b)² = a² − 2ab + b² to find 16².
- 9.Find the compound interest on ₹48000 at 25% per year for 3 years, compounded every year (in ₹).
- 10.What is 7³? =
- 11.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 12.What is 9³? =
- 13.What is ∛27? =
- 14.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 15.Find the compound interest on ₹43600 at 20% per year for 2 years, compounded every year (in ₹).
- 16.The sum of four consecutive whole numbers is 170. What is the smallest of them?
- 17.What amount will ₹46500 grow to in 1 year at 20% per year compound interest (in ₹)?
- 18.9 × 10² =
- 19.What is 8³? =
- 20.A town has 17000 people. The population grows by 5% every year. What will the population be after 1 year?
- 21.What is √676? =
- 22.A cuboid is 14 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 23.A cuboid is 12 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 24.What is 2³? =
- 25.Solve: 4(p − 2) = 2p + 8. What is p?
- 26.How many whole numbers lie between 24² and 25²?
- 27.The sum of two consecutive whole numbers is 41. What is the largest of them?
- 28.A town has 56000 people. The population grows by 15% every year. What will the population be after 3 years?
- 29.Use a² − b² = (a + b)(a − b) to find 82² − 77².
- 30.What is the value of 10⁴ × 10⁻¹? =
- 31.Use (a + b)² = a² + 2ab + b² to find 58².
- 32.Find the compound interest on ₹21200 at 4% per year for 1 year, compounded every year (in ₹).
- 33.What is ∛64? =
- 34.What is the value of (1/4)⁻²? =
- 35.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
- 36.Use (a + b)(a − b) = a² − b² to find 63 × 57.
- 37.What is the value of 3⁶ × 3⁻¹? =
- 38.What is ∛5832? =
- 39.A scooter is worth ₹17000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
- 40.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
Answer key
- 2
- 58750
- 1536
- 15840
- 14
- 30
- 18
- 256
- 45750
- 343
- 27
- 729
- 3
- 216
- 19184
- 41
- 55800
- 900
- 512
- 17850
- 26
- 186
- 360
- 8
- 8
- 48
- 21
- 85169
- 795
- 1000
- 3364
- 848
- 4
- 16
- 5
- 3591
- 243
- 18
- 12393
- 2
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