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 14³? =
- 2.Solve: 9n + 12 = 5n + 24. What is n?
- 3.What is the smallest whole number by which 252 must be multiplied to get a perfect square?
- 4.What is ∛512? =
- 5.Solve: 8p + 16 = 3p + 51. What is p?
- 6.Which of these is a perfect square? (a) 1423 (b) 1425 (c) 1369
- 7.What is 13³? =
- 8.What is the value of 3⁻² (as a fraction)? =
- 9.How many whole numbers lie between 22² and 23²?
- 10.A square garden has an area of 1444 square m. How long is each side (in m)?
- 11.The sum of two consecutive whole numbers is 97. What is the largest of them?
- 12.What is 67²? =
- 13.What is 98²? =
- 14.The sum of two consecutive whole numbers is 21. What is the largest of them?
- 15.What is 4³? =
- 16.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
- 17.What is ∛27? =
- 18.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
- 19.What is 3³? =
- 20.How many whole numbers lie between 13² and 14²?
- 21.Write 4,50,00,000 in standard form as 4.5 × 10ⁿ. What is n?
- 22.What is the value of 6⁻² (as a fraction)? =
- 23.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 24.What is √1024? =
- 25.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
- 26.What is the difference between the compound interest and the simple interest on ₹5000 at 10% per year for 2 years (in ₹)?
- 27.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
- 28.The diagonals of a rhombus are 16 cm and 21 cm. What is its area (in square cm)?
- 29.What is the smallest whole number by which 20 must be multiplied to get a perfect square?
- 30.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
- 31.A cuboid is 8 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 32.The sum of three consecutive whole numbers is 153. What is the smallest of them?
- 33.Use (a + b)² = a² + 2ab + b² to find 58².
- 34.What is ∛5832? =
- 35.Write 8.3 × 10⁻¹ as a decimal. =
- 36.Find the compound interest on ₹55700 at 4% per year for 1 year, compounded every year (in ₹).
- 37.What amount will ₹45600 grow to in 1 year at 20% per year compound interest (in ₹)?
- 38.If a + b = 13 and ab = 36, what is a² + b²?
- 39.What is the smallest whole number by which 32 must be divided to get a perfect cube?
- 40.Use (a + b)² = a² + 2ab + b² to find 87².
Answer key
- 2744
- 3
- 7
- 8
- 7
- 1369
- 2197
- 1/9
- 44
- 38
- 49
- 4489
- 9604
- 11
- 64
- 12
- 3
- 49
- 27
- 26
- 7
- 1/36
- 216
- 32
- 216
- 50
- 10
- 168
- 5
- 104
- 256
- 50
- 3364
- 18
- 0.83
- 2228
- 54720
- 97
- 4
- 7569
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