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.A father is 26 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?
- 2.What is 21²? =
- 3.Use (a + b)(a − b) = a² − b² to find 57 × 43.
- 4.A cuboid is 8 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 5.Use (a + b)(a − b) = a² − b² to find 72 × 68.
- 6.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
- 7.What amount will ₹9500 grow to in 3 years at 20% per year compound interest (in ₹)?
- 8.The sum of three consecutive whole numbers is 33. What is the largest of them?
- 9.What is the difference between the compound interest and the simple interest on ₹16400 at 25% per year for 2 years (in ₹)?
- 10.Solve: t/5 + t/2 = 42. What is t?
- 11.What is the value of 5¹ × 5⁻⁴? =
- 12.Solve: m/2 + m/5 = 7. What is m?
- 13.Find the compound interest on ₹3600 at 25% per year for 2 years, compounded every year (in ₹).
- 14.What is 4³? =
- 15.What is ∛13824? =
- 16.If a + b = 5 and ab = 4, what is a² + b²?
- 17.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
- 18.What is the value of 10²? =
- 19.What is √2601? =
- 20.What amount will ₹12400 grow to in 2 years at 10% per year compound interest (in ₹)?
- 21.Solve: 3(x − 3) = x + 13. What is x?
- 22.What amount will ₹27500 grow to in 2 years at 8% per year compound interest (in ₹)?
- 23.Write 780 in standard form as 7.8 × 10ⁿ. What is n?
- 24.Which of these is a perfect cube? (a) 3375 (b) 3791 (c) 3789
- 25.What is the value of 3¹ × 3⁻⁴? =
- 26.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
- 27.Write 7⁵ × 7⁸ as a single power 7ⁿ. What is n?
- 28.Write 6⁴ × 6⁴ as a single power 6ⁿ. What is n?
- 29.What is √625? =
- 30.Which of these is a perfect cube? (a) 2663 (b) 2365 (c) 2197
- 31.Use (a + b)² = a² + 2ab + b² to find 27².
- 32.What is 36²? =
- 33.Which of these is a perfect cube? (a) 64 (b) 68 (c) 87
- 34.Solve: x/5 + x/4 = 45. What is x?
- 35.Use (a + b)(a − b) = a² − b² to find 43 × 37.
- 36.If a + b = 6 and ab = 5, what is a² + b²?
- 37.Use (a + b)(a − b) = a² − b² to find 92 × 88.
- 38.Use (a − b)² = a² − 2ab + b² to find 72².
- 39.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 40.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
Answer key
- 8
- 441
- 2451
- 322
- 4896
- 110
- 16416
- 12
- 1025
- 60
- 1/125
- 10
- 2025
- 64
- 24
- 17
- 14
- 100
- 51
- 15004
- 11
- 32076
- 2
- 3375
- 1/27
- 3750
- 13
- 8
- 25
- 2197
- 729
- 1296
- 64
- 100
- 1591
- 26
- 8096
- 5184
- 216
- 13
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