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
- 1.3.7 × 10² =
- 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
- 3.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
- 4.A father is 16 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
- 5.The sum of four consecutive whole numbers is 202. What is the smallest of them?
- 6.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
- 7.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
- 8.Which of these is a perfect cube? (a) 1728 (b) 1897 (c) 2062
- 9.What is 13²? =
- 10.What is the value of 10⁶ × 10⁻⁵? =
- 11.A trapezium has parallel sides of 23 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 12.Solve: t/2 + t/3 = 5. What is t?
- 13.What is 5³? =
- 14.What is √400? =
- 15.Use (a + b)² = a² + 2ab + b² to find 56².
- 16.Write 8.5 × 10⁻¹ as a decimal. =
- 17.Which of these is a perfect square? (a) 841 (b) 883 (c) 884
- 18.Solve: x/3 + x/6 = 12. What is x?
- 19.Solve: 6(x − 5) = x + 40. What is x?
- 20.How many whole numbers lie between 34² and 35²?
- 21.Use (a − b)² = a² − 2ab + b² to find 51².
- 22.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
- 23.What is ∛1331? =
- 24.A trapezium has an area of 63 square cm. Its parallel sides are 16 cm and 5 cm. What is the distance between them (in cm)?
- 25.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
- 26.Find the value of x² − y² when x = 14 and y = 8.
- 27.What is 18³? =
- 28.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
- 29.What is the value of 2⁴? =
- 30.What is √3844? =
- 31.Use (a + b)(a − b) = a² − b² to find 32 × 28.
- 32.What amount will ₹9400 grow to in 2 years at 20% per year compound interest (in ₹)?
- 33.What is the difference between the compound interest and the simple interest on ₹22500 at 12% per year for 2 years (in ₹)?
- 34.What is the value of (7/9)⁻²? =
- 35.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
- 36.What is ∛2197? =
- 37.A cuboid is 3 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 38.Find the compound interest on ₹6100 at 12% per year for 1 year, compounded every year (in ₹).
- 39.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
- 40.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
Answer key
- 370
- 22
- 18
- 5
- 49
- 8
- 12
- 1728
- 169
- 10
- 212
- 6
- 125
- 20
- 3136
- 0.85
- 841
- 24
- 14
- 68
- 2601
- 54
- 11
- 6
- 3
- 132
- 5832
- 75
- 16
- 62
- 896
- 13536
- 324
- 81/49
- 7
- 13
- 282
- 732
- 3
- 24
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