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.Find the compound interest on ₹45700 at 5% per year for 1 year, compounded every year (in ₹).
- 2.How many whole numbers lie between 47² and 48²?
- 3.Which of these is a perfect square? (a) 1571 (b) 1536 (c) 1521
- 4.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
- 5.The sum of two consecutive whole numbers is 63. What is the smallest of them?
- 6.What is ∛12167? =
- 7.What is the difference between the compound interest and the simple interest on ₹4500 at 10% per year for 2 years (in ₹)?
- 8.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
- 9.Find the value of x² − y² when x = 14 and y = 1.
- 10.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
- 11.What is the smallest whole number by which 32 must be divided to get a perfect cube?
- 12.The sum of three consecutive whole numbers is 171. What is the smallest of them?
- 13.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
- 14.What is the value of 10² × 10⁻⁶? =
- 15.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
- 16.What is the value of 10² × 10⁻⁴? =
- 17.Use (a + b)² = a² + 2ab + b² to find 96².
- 18.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
- 19.What is the smallest whole number by which 375 must be multiplied to get a perfect square?
- 20.Write 2.8 × 10⁻³ as a decimal. =
- 21.A town has 23500 people. The population grows by 20% every year. What will the population be after 3 years?
- 22.A town has 47200 people. The population grows by 5% every year. What will the population be after 2 years?
- 23.A trapezium has an area of 92 square cm. Its parallel sides are 20 cm and 26 cm. What is the distance between them (in cm)?
- 24.What is the smallest whole number by which 396 must be divided to get a perfect square?
- 25.A trapezium has parallel sides of 10 cm and 16 cm, and the distance between them is 8 cm. What is its area (in square cm)?
- 26.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
- 27.Write 7.6 × 10⁻¹ as a decimal. =
- 28.What is the value of 3⁹? =
- 29.Write 9⁸ ÷ 9² as a single power 9ⁿ. What is n?
- 30.A scooter is worth ₹17200. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
- 31.Find the value of x² − y² when x = 9 and y = 7.
- 32.What is the value of 2¹¹? =
- 33.Use (a + b)² = a² + 2ab + b² to find 55².
- 34.Write (6⁷)⁴ as a single power 6ⁿ. What is n?
- 35.What is the value of (5/6)⁻¹? =
- 36.What is the value of 9⁻³ (as a fraction)? =
- 37.A trapezium has an area of 99 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
- 38.How many whole numbers lie between 18² and 19²?
- 39.Which of these is a perfect square? (a) 196 (b) 208 (c) 204
- 40.The sum of three consecutive whole numbers is 120. What is the smallest of them?
Answer key
- 2285
- 94
- 1521
- 72
- 31
- 23
- 45
- 10
- 195
- 16
- 4
- 56
- 20
- 1/10000
- 5
- 1/100
- 9216
- 90
- 15
- 0.0028
- 40608
- 52038
- 4
- 11
- 104
- 16
- 0.76
- 19683
- 6
- 12900
- 32
- 2048
- 3025
- 28
- 6/5
- 1/729
- 9
- 36
- 196
- 39
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