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 value of 2⁵ × 2⁻⁵? =
- 2.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
- 3.A cuboid is 3 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 4.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
- 5.What amount will ₹59200 grow to in 3 years at 25% per year compound interest (in ₹)?
- 6.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 7.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
- 8.Use (a + b)² = a² + 2ab + b² to find 83².
- 9.What is ∛1000? =
- 10.Solve: n/3 + n/2 = 15. What is n?
- 11.Use (a − b)² = a² − 2ab + b² to find 33².
- 12.How many whole numbers lie between 11² and 12²?
- 13.Which of these is a perfect cube? (a) 112 (b) 107 (c) 64
- 14.Write 2.9 × 10⁻¹ as a decimal. =
- 15.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
- 16.What is the smallest whole number by which 160 must be multiplied to get a perfect square?
- 17.Use (a + b)(a − b) = a² − b² to find 36 × 24.
- 18.What is the difference between the compound interest and the simple interest on ₹17200 at 25% per year for 2 years (in ₹)?
- 19.Use (a − b)² = a² − 2ab + b² to find 97².
- 20.Write 16,00,000 in standard form as 1.6 × 10ⁿ. What is n?
- 21.Write 9.1 × 10⁻¹ as a decimal. =
- 22.What is √2809? =
- 23.What is the difference between the compound interest and the simple interest on ₹36100 at 10% per year for 2 years (in ₹)?
- 24.Find the value of x² − y² when x = 4 and y = 3.
- 25.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
- 26.How many whole numbers lie between 50² and 51²?
- 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 28.What is the value of 2⁵? =
- 29.A square garden has an area of 169 square m. How long is each side (in m)?
- 30.If a − b = 2 and ab = 80, what is a² + b²?
- 31.Write 5 × 10⁻¹ as a decimal. =
- 32.Find the compound interest on ₹57500 at 25% per year for 1 year, compounded every year (in ₹).
- 33.What is 3³? =
- 34.What is the difference between the compound interest and the simple interest on ₹22900 at 20% per year for 2 years (in ₹)?
- 35.What is the difference between the compound interest and the simple interest on ₹50400 at 25% per year for 2 years (in ₹)?
- 36.Which of these is a perfect cube? (a) 229 (b) 244 (c) 216
- 37.What is the value of 3¹⁰? =
- 38.A trapezium has parallel sides of 25 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 39.What is 87²? =
- 40.What is ∛10648? =
Answer key
- 1
- 49
- 136
- 160
- 115625
- 27
- 13
- 6889
- 10
- 18
- 1089
- 22
- 64
- 0.29
- 17
- 10
- 864
- 1075
- 9409
- 6
- 0.91
- 53
- 361
- 7
- 19
- 100
- 8
- 32
- 13
- 164
- 0.5
- 14375
- 27
- 916
- 3150
- 216
- 59049
- 82
- 7569
- 22
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