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.Solve: 6(p − 5) = 2p + 22. What is p?
- 2.A square garden has an area of 1089 square m. How long is each side (in m)?
- 3.Which of these is a perfect square? (a) 564 (b) 563 (c) 529
- 4.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
- 5.The diagonals of a rhombus are 8 cm and 22 cm. What is its area (in square cm)?
- 6.A town has 8000 people. The population grows by 5% every year. What will the population be after 3 years?
- 7.What is the difference between the compound interest and the simple interest on ₹17600 at 15% per year for 2 years (in ₹)?
- 8.3.6 × 10⁷ =
- 9.What is the difference between the compound interest and the simple interest on ₹33600 at 5% per year for 2 years (in ₹)?
- 10.What is the value of 5⁴ × 5⁻³? =
- 11.Write 8.5 × 10⁻³ as a decimal. =
- 12.Use a² − b² = (a + b)(a − b) to find 64² − 9².
- 13.The sum of two consecutive whole numbers is 57. What is the smallest of them?
- 14.What is the difference between the compound interest and the simple interest on ₹13700 at 10% per year for 2 years (in ₹)?
- 15.Write 3⁶ × 3⁶ as a single power 3ⁿ. What is n?
- 16.Use a² − b² = (a + b)(a − b) to find 74² − 66².
- 17.What is 31²? =
- 18.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
- 19.What is 6³? =
- 20.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
- 21.Use (a + b)(a − b) = a² − b² to find 78 × 62.
- 22.What is the value of 5² × 5⁻⁶? =
- 23.What is the value of 3⁷? =
- 24.How many whole numbers lie between 31² and 32²?
- 25.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
- 26.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
- 27.What is the value of 3⁵ × 3⁻²? =
- 28.Which of these is a perfect cube? (a) 2510 (b) 2224 (c) 2197
- 29.How many whole numbers lie between 6² and 7²?
- 30.What amount will ₹22400 grow to in 2 years at 25% per year compound interest (in ₹)?
- 31.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
- 32.Which of these is a perfect square? (a) 291 (b) 313 (c) 289
- 33.Write 5.7 × 10⁻³ as a decimal. =
- 34.A cuboid is 5 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 35.Find the value of x² − y² when x = 14 and y = 6.
- 36.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
- 37.What is √2809? =
- 38.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
- 39.What is the value of 3² × 3⁻¹? =
- 40.Write 9¹² ÷ 9³ as a single power 9ⁿ. What is n?
Answer key
- 13
- 33
- 529
- 96
- 88
- 9261
- 396
- 36000000
- 84
- 5
- 0.0085
- 4015
- 28
- 137
- 12
- 1120
- 961
- 18
- 216
- 1350
- 4836
- 1/625
- 2187
- 62
- 125
- 49
- 27
- 2197
- 12
- 35000
- 3
- 289
- 0.0057
- 94
- 160
- 12
- 53
- 2
- 3
- 9
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