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.Find the compound interest on ₹55000 at 12% per year for 2 years, compounded every year (in ₹).
- 2.What is the smallest whole number by which 250 must be divided to get a perfect cube?
- 3.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
- 4.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
- 5.A square garden has an area of 2601 square m. How long is each side (in m)?
- 6.What is the value of 3⁸? =
- 7.The sum of two consecutive whole numbers is 101. What is the largest of them?
- 8.A square garden has an area of 1600 square m. How long is each side (in m)?
- 9.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
- 10.A square garden has an area of 289 square m. How long is each side (in m)?
- 11.What is the difference between the compound interest and the simple interest on ₹36000 at 5% per year for 2 years (in ₹)?
- 12.What is 69²? =
- 13.Use (a + b)² = a² + 2ab + b² to find 54².
- 14.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
- 15.A square garden has an area of 961 square m. How long is each side (in m)?
- 16.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
- 17.Find the compound interest on ₹10900 at 15% per year for 1 year, compounded every year (in ₹).
- 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
- 19.How many whole numbers lie between 23² and 24²?
- 20.What is 5³? =
- 21.What is the value of 10⁴? =
- 22.What is 2³? =
- 23.Write 3² × 3³ as a single power 3ⁿ. What is n?
- 24.Use (a + b)² = a² + 2ab + b² to find 64².
- 25.What is the value of 3¹ × 3⁻⁶? =
- 26.A room is 11 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 27.What is 14³? =
- 28.What is ∛2744? =
- 29.A town has 26700 people. The population grows by 8% every year. What will the population be after 1 year?
- 30.What is ∛6859? =
- 31.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
- 32.What is ∛2197? =
- 33.Write 9⁶ × 9⁹ as a single power 9ⁿ. What is n?
- 34.A cuboid is 5 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 35.How many whole numbers lie between 11² and 12²?
- 36.What is the value of 2¹⁵? =
- 37.A father is 20 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
- 38.A town has 38400 people. The population grows by 5% every year. What will the population be after 2 years?
- 39.Write (7⁸)⁹ as a single power 7ⁿ. What is n?
- 40.What amount will ₹47500 grow to in 1 year at 15% per year compound interest (in ₹)?
Answer key
- 13992
- 2
- 23
- 294
- 51
- 6561
- 51
- 40
- 2
- 17
- 90
- 4761
- 2916
- 576
- 31
- 12
- 1635
- 10
- 46
- 125
- 10000
- 8
- 5
- 4096
- 1/243
- 152
- 2744
- 14
- 28836
- 19
- 21
- 13
- 15
- 148
- 22
- 32768
- 6
- 42336
- 72
- 54625
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