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.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
- 2.A cuboid is 3 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
- 3.Find the value of x² + 2xy + y² when x = 5 and y = 1.
- 4.The length of a rectangle is 9 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
- 5.What is the difference between the compound interest and the simple interest on ₹48000 at 20% per year for 2 years (in ₹)?
- 6.Which of these is a perfect square? (a) 134 (b) 125 (c) 121
- 7.If a + b = 7 and ab = 12, what is a² + b²?
- 8.Solve: 4(x − 2) = 3x + 2. What is x?
- 9.Solve: 5(y − 1) = 4y + 1. What is y?
- 10.What is 5³? =
- 11.The sum of two consecutive whole numbers is 85. What is the largest of them?
- 12.Use (a + b)² = a² + 2ab + b² to find 105².
- 13.Which of these is a perfect square? (a) 1600 (b) 1655 (c) 1645
- 14.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
- 15.Solve: 4t + 13 = t + 49. What is t?
- 16.The diagonals of a rhombus are 4 cm and 3 cm. What is its area (in square cm)?
- 17.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
- 18.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 19.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
- 20.A trapezium has an area of 261 square cm. Its parallel sides are 26 cm and 3 cm. What is the distance between them (in cm)?
- 21.Use a² − b² = (a + b)(a − b) to find 44² − 12².
- 22.Find the value of x² − y² when x = 6 and y = 2.
- 23.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
- 24.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
- 25.A trapezium has parallel sides of 13 cm and 4 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 26.A cuboid is 13 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
- 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
- 28.Find the value of x² − 2xy + y² when x = 14 and y = 2.
- 29.8.9 × 10² =
- 30.What amount will ₹22500 grow to in 2 years at 8% per year compound interest (in ₹)?
- 31.Write 17,00,000 in standard form as 1.7 × 10ⁿ. What is n?
- 32.What is the value of 3⁴? =
- 33.What amount will ₹32000 grow to in 3 years at 15% per year compound interest (in ₹)?
- 34.Find the value of x² − 2xy + y² when x = 15 and y = 3.
- 35.What is √6889? =
- 36.Solve: 8m + 12 = 3m + 42. What is m?
- 37.Use (a + b)² = a² + 2ab + b² to find 89².
- 38.A cuboid is 13 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
- 39.A scooter is worth ₹22400. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
- 40.Use (a − b)² = a² − 2ab + b² to find 47².
Answer key
- 27
- 126
- 36
- 15
- 1920
- 121
- 25
- 10
- 6
- 125
- 43
- 11025
- 1600
- 20
- 12
- 6
- 1734
- 64
- 2
- 18
- 1792
- 32
- 8
- 16
- 17
- 366
- 29
- 144
- 890
- 26244
- 6
- 81
- 48668
- 144
- 83
- 6
- 7921
- 766
- 16184
- 2209
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