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.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
- 2.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
- 3.What is the difference between the compound interest and the simple interest on ₹40000 at 8% per year for 2 years (in ₹)?
- 4.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
- 5.What is the smallest whole number by which 128 must be multiplied to get a perfect square?
- 6.Solve: 3m + 19 = m + 47. What is m?
- 7.What is the smallest whole number by which 16 must be divided to get a perfect cube?
- 8.How many whole numbers lie between 37² and 38²?
- 9.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
- 10.What is the value of 2²? =
- 11.A father is 21 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
- 12.A square garden has an area of 25 square m. How long is each side (in m)?
- 13.What is the value of 2¹³? =
- 14.The length of a rectangle is 15 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
- 15.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
- 16.A trapezium has parallel sides of 11 cm and 30 cm, and the distance between them is 12 cm. What is its area (in square cm)?
- 17.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
- 18.If a − b = 1 and ab = 2, what is a² + b²?
- 19.Solve: 6m + 4 = 3m + 37. What is m?
- 20.Solve: x/2 + x/6 = 24. What is x?
- 21.What is the smallest whole number by which 350 must be multiplied to get a perfect square?
- 22.A square garden has an area of 3481 square m. How long is each side (in m)?
- 23.What is the value of 6⁵? =
- 24.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 25.What is 16³? =
- 26.What is the smallest whole number by which 27 must be divided to get a perfect square?
- 27.Find the compound interest on ₹25000 at 10% per year for 2 years, compounded every year (in ₹).
- 28.What is the difference between the compound interest and the simple interest on ₹25800 at 10% per year for 2 years (in ₹)?
- 29.Write 8.8 × 10⁻³ as a decimal. =
- 30.Write 2.2 × 10⁻¹ as a decimal. =
- 31.What is the smallest whole number by which 243 must be divided to get a perfect cube?
- 32.2.2 × 10² =
- 33.What amount will ₹31800 grow to in 1 year at 10% per year compound interest (in ₹)?
- 34.Write 3¹⁷ ÷ 3⁹ as a single power 3ⁿ. What is n?
- 35.Use (a + b)² = a² + 2ab + b² to find 51².
- 36.What is 19²? =
- 37.Find the compound interest on ₹8000 at 25% per year for 3 years, compounded every year (in ₹).
- 38.What is the value of 7⁴? =
- 39.Use (a + b)² = a² + 2ab + b² to find 49².
- 40.What amount will ₹52400 grow to in 2 years at 10% per year compound interest (in ₹)?
Answer key
- 324
- 20
- 256
- 600
- 2
- 14
- 2
- 74
- 384
- 4
- 6
- 5
- 8192
- 17
- 150
- 246
- 13
- 5
- 11
- 36
- 14
- 59
- 7776
- 216
- 4096
- 3
- 5250
- 258
- 0.0088
- 0.22
- 9
- 220
- 34980
- 8
- 2601
- 361
- 7625
- 2401
- 2401
- 63404
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