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.Write 9.1 × 10⁻⁴ as a decimal. =
- 2.What is 3³? =
- 3.What is the value of 6⁻³ (as a fraction)? =
- 4.The diagonals of a rhombus are 22 cm and 16 cm. What is its area (in square cm)?
- 5.What is ∛5832? =
- 6.What is ∛4096? =
- 7.A town has 57200 people. The population grows by 8% every year. What will the population be after 1 year?
- 8.Write 4.1 × 10⁻² as a decimal. =
- 9.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
- 10.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
- 11.Find the compound interest on ₹45800 at 15% per year for 1 year, compounded every year (in ₹).
- 12.Write 2.2 × 10⁻¹ as a decimal. =
- 13.Which of these is a perfect square? (a) 676 (b) 689 (c) 692
- 14.What is the value of 10³? =
- 15.Use (a + b)² = a² + 2ab + b² to find 98².
- 16.Which of these is a perfect square? (a) 1424 (b) 1369 (c) 1434
- 17.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?
- 18.A cuboid is 6 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 19.If a − b = 3 and ab = 70, what is a² + b²?
- 20.Use (a − b)² = a² − 2ab + b² to find 33².
- 21.What is the smallest whole number by which 54 must be divided to get a perfect square?
- 22.What is 4³? =
- 23.If a + b = 3 and ab = 2, what is a² + b²?
- 24.Write 4.8 × 10⁻³ as a decimal. =
- 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 26.A scooter is worth ₹48000. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
- 27.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 28.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?
- 29.A cuboid is 14 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 30.Use (a + b)² = a² + 2ab + b² to find 72².
- 31.A town has 43600 people. The population grows by 5% every year. What will the population be after 2 years?
- 32.A square garden has an area of 2916 square m. How long is each side (in m)?
- 33.What is ∛8000? =
- 34.What is √6889? =
- 35.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
- 36.What is the difference between the compound interest and the simple interest on ₹17300 at 20% per year for 2 years (in ₹)?
- 37.If a + b = 7 and ab = 10, what is a² + b²?
- 38.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
- 39.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
- 40.Solve: 5(n − 5) = 3n + 9. What is n?
Answer key
- 0.00091
- 27
- 1/216
- 176
- 18
- 16
- 61776
- 0.041
- 13
- 225
- 6870
- 0.22
- 676
- 1000
- 9604
- 1369
- 5
- 432
- 149
- 1089
- 6
- 64
- 5
- 0.0048
- 8
- 34680
- 1734
- 6
- 856
- 5184
- 48069
- 54
- 20
- 83
- 140
- 692
- 29
- 7
- 2904
- 17
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