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.Use (a − b)² = a² − 2ab + b² to find 85².
- 2.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
- 3.Use (a + b)² = a² + 2ab + b² to find 93².
- 4.A trapezium has an area of 51 square cm. Its parallel sides are 23 cm and 11 cm. What is the distance between them (in cm)?
- 5.Solve: 6(p − 1) = p + 29. What is p?
- 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
- 7.Which of these is a perfect cube? (a) 657 (b) 512 (c) 526
- 8.Write 7⁵ × 7⁴ as a single power 7ⁿ. What is n?
- 9.What is √4489? =
- 10.A town has 15000 people. The population grows by 12% every year. What will the population be after 2 years?
- 11.6.3 × 10² =
- 12.Solve: 6(y − 1) = 3y + 3. What is y?
- 13.Which of these is a perfect square? (a) 1131 (b) 1096 (c) 1089
- 14.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
- 15.What is √784? =
- 16.Use (a − b)² = a² − 2ab + b² to find 44².
- 17.How many whole numbers lie between 37² and 38²?
- 18.What is 6³? =
- 19.Which of these is a perfect square? (a) 678 (b) 728 (c) 676
- 20.A trapezium has parallel sides of 6 cm and 16 cm, and the distance between them is 7 cm. What is its area (in square cm)?
- 21.Write 4.2 × 10⁻¹ as a decimal. =
- 22.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
- 23.Which of these is a perfect square? (a) 652 (b) 625 (c) 634
- 24.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
- 25.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
- 26.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
- 27.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
- 28.What is the value of 10³ × 10⁻⁴? =
- 29.How many whole numbers lie between 11² and 12²?
- 30.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
- 31.The sum of four consecutive whole numbers is 222. What is the smallest of them?
- 32.How many whole numbers lie between 47² and 48²?
- 33.Write 690 in standard form as 6.9 × 10ⁿ. What is n?
- 34.What is ∛12167? =
- 35.What is 86²? =
- 36.What is ∛2744? =
- 37.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
- 38.What is the value of 5¹ × 5⁻⁵? =
- 39.What is the value of 8⁻² (as a fraction)? =
- 40.What is 30²? =
Answer key
- 7225
- 125
- 8649
- 3
- 7
- 30
- 512
- 9
- 67
- 18816
- 630
- 3
- 1089
- 56
- 28
- 1936
- 74
- 216
- 676
- 77
- 0.42
- 144
- 625
- 19
- 170
- 54
- 256
- 1/10
- 22
- 9
- 54
- 94
- 2
- 23
- 7396
- 14
- 8
- 1/625
- 1/64
- 900
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