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 difference between the compound interest and the simple interest on ₹18800 at 15% per year for 2 years (in ₹)?
- 2.A trapezium has an area of 144 square cm. Its parallel sides are 10 cm and 26 cm. What is the distance between them (in cm)?
- 3.What is 6³? =
- 4.Find the compound interest on ₹57900 at 25% per year for 1 year, compounded every year (in ₹).
- 5.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
- 6.What is 3³? =
- 7.Find the value of x² + 2xy + y² when x = 8 and y = 7.
- 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 9.Write 1.7 × 10⁻² as a decimal. =
- 10.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
- 11.What is 7³? =
- 12.What is √841? =
- 13.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
- 14.What amount will ₹52500 grow to in 2 years at 4% per year compound interest (in ₹)?
- 15.A cuboid is 8 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 16.A town has 56000 people. The population grows by 15% every year. What will the population be after 3 years?
- 17.A scooter is worth ₹29700. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
- 18.Write 9.9 × 10⁻⁴ as a decimal. =
- 19.A trapezium has parallel sides of 6 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 20.What is the value of 9⁻¹ (as a fraction)? =
- 21.Write (8⁵)⁶ as a single power 8ⁿ. What is n?
- 22.Write 3.4 × 10⁻¹ as a decimal. =
- 23.Find the value of x² + 2xy + y² when x = 14 and y = 12.
- 24.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
- 25.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
- 26.Find the compound interest on ₹40400 at 8% per year for 1 year, compounded every year (in ₹).
- 27.If a + b = 4 and ab = 3, what is a² + b²?
- 28.A cuboid is 5 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
- 29.A square garden has an area of 784 square m. How long is each side (in m)?
- 30.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
- 31.What is √2401? =
- 32.What is the value of 2⁻⁵ (as a fraction)? =
- 33.What is the value of 10⁻² (as a fraction)? =
- 34.What is the value of 2⁴? =
- 35.What is the value of 10² × 10⁻²? =
- 36.Find the value of x² + 2xy + y² when x = 13 and y = 10.
- 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
- 38.A trapezium has parallel sides of 24 cm and 22 cm, and the distance between them is 5 cm. What is its area (in square cm)?
- 39.How many whole numbers lie between 37² and 38²?
- 40.What is 16³? =
Answer key
- 423
- 8
- 216
- 14475
- 14
- 27
- 225
- 64
- 0.017
- 2904
- 343
- 29
- 4
- 56784
- 132
- 85169
- 28215
- 0.00099
- 40
- 1/9
- 30
- 0.34
- 676
- 324
- 15
- 3232
- 10
- 126
- 28
- 64
- 49
- 1/32
- 1/100
- 16
- 1
- 529
- 28
- 115
- 74
- 4096
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