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 10¹ × 10⁻²? =
- 2.Solve: t/4 + t/3 = 7. What is t?
- 3.Use (a − b)² = a² − 2ab + b² to find 51².
- 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
- 5.What is 18³? =
- 6.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
- 7.Find the compound interest on ₹14800 at 12% per year for 1 year, compounded every year (in ₹).
- 8.What is the value of 5¹ × 5⁻⁴? =
- 9.Write 98,000 in standard form as 9.8 × 10ⁿ. What is n?
- 10.Use (a + b)(a − b) = a² − b² to find 59 × 41.
- 11.Solve: 3(t − 1) = 2t + 10. What is t?
- 12.What is the value of 2² × 2⁻⁴? =
- 13.What is 79²? =
- 14.Use a² − b² = (a + b)(a − b) to find 65² − 1².
- 15.What is the value of 2⁵ × 2⁻²? =
- 16.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
- 17.A trapezium has parallel sides of 26 cm and 28 cm, and the distance between them is 4 cm. What is its area (in square cm)?
- 18.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
- 19.A town has 2800 people. The population grows by 15% every year. What will the population be after 2 years?
- 20.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
- 21.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
- 22.What is √1600? =
- 23.What is 18²? =
- 24.What amount will ₹55000 grow to in 1 year at 20% per year compound interest (in ₹)?
- 25.Use (a + b)² = a² + 2ab + b² to find 73².
- 26.A trapezium has parallel sides of 17 cm and 3 cm, and the distance between them is 3 cm. What is its area (in square cm)?
- 27.How many whole numbers lie between 41² and 42²?
- 28.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
- 29.Solve: 4(m − 1) = 3m + 8. What is m?
- 30.Find the value of x² + 2xy + y² when x = 4 and y = 1.
- 31.A cuboid is 15 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
- 32.Which of these is a perfect square? (a) 1089 (b) 1110 (c) 1125
- 33.What is ∛13824? =
- 34.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
- 35.Use a² − b² = (a + b)(a − b) to find 24² − 10².
- 36.Use (a − b)² = a² − 2ab + b² to find 62².
- 37.What is ∛6859? =
- 38.What is the value of 5³ × 5⁻¹? =
- 39.What is ∛64? =
- 40.A father is 18 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
Answer key
- 1/10
- 12
- 2601
- 17
- 5832
- 7
- 1776
- 1/125
- 4
- 2419
- 13
- 1/4
- 6241
- 4224
- 8
- 22
- 108
- 2
- 3703
- 13
- 5
- 40
- 324
- 66000
- 5329
- 30
- 82
- 11
- 12
- 25
- 500
- 1089
- 24
- 3174
- 476
- 3844
- 19
- 25
- 4
- 3
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