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.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
- 2.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
- 3.Use (a + b)(a − b) = a² − b² to find 53 × 47.
- 4.The length of a rectangle is 8 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
- 5.Write 5.7 × 10⁻¹ as a decimal. =
- 6.Find the compound interest on ₹42500 at 8% per year for 2 years, compounded every year (in ₹).
- 7.Write 8.9 × 10⁻⁴ as a decimal. =
- 8.What is the difference between the compound interest and the simple interest on ₹6800 at 25% per year for 2 years (in ₹)?
- 9.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 10.6.4 × 10² =
- 11.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
- 12.What amount will ₹53500 grow to in 3 years at 20% per year compound interest (in ₹)?
- 13.A trapezium has an area of 220 square cm. Its parallel sides are 16 cm and 24 cm. What is the distance between them (in cm)?
- 14.What is √729? =
- 15.Use (a + b)² = a² + 2ab + b² to find 42².
- 16.What is the difference between the compound interest and the simple interest on ₹38800 at 25% per year for 2 years (in ₹)?
- 17.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
- 18.What is 16³? =
- 19.What amount will ₹53100 grow to in 1 year at 8% per year compound interest (in ₹)?
- 20.What is 12³? =
- 21.Solve: t/6 + t/3 = 9. What is t?
- 22.Find the value of x² − 2xy + y² when x = 5 and y = 2.
- 23.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 24.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
- 25.The length of a rectangle is 13 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
- 26.A trapezium has an area of 270 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?
- 27.A cuboid is 4 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 28.What is ∛6859? =
- 29.Use (a + b)² = a² + 2ab + b² to find 84².
- 30.What is the value of 5¹ × 5⁻⁶? =
- 31.Use (a − b)² = a² − 2ab + b² to find 38².
- 32.What is √4900? =
- 33.What is the smallest whole number by which 891 must be divided to get a perfect square?
- 34.Which of these is a perfect square? (a) 462 (b) 441 (c) 465
- 35.A cuboid is 13 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
- 36.What is √576? =
- 37.The sum of four consecutive whole numbers is 142. What is the largest of them?
- 38.What is the value of 9²? =
- 39.What is 18³? =
- 40.What is √2601? =
Answer key
- 4
- 23
- 2491
- 5
- 0.57
- 7072
- 0.00089
- 425
- 27
- 640
- 9
- 92448
- 11
- 27
- 1764
- 2425
- 4167
- 4096
- 57348
- 1728
- 18
- 9
- 216
- 6
- 18
- 20
- 176
- 19
- 7056
- 1/3125
- 1444
- 70
- 11
- 441
- 334
- 24
- 37
- 81
- 5832
- 51
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