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: 6x + 17 = 2x + 25. What is x?
- 2.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
- 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
- 4.Use (a − b)² = a² − 2ab + b² to find 46².
- 5.What is 37²? =
- 6.Solve: 9x + 10 = 5x + 14. What is x?
- 7.The length of a rectangle is 9 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
- 8.What is √1681? =
- 9.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
- 10.What amount will ₹60000 grow to in 2 years at 12% per year compound interest (in ₹)?
- 11.A square garden has an area of 1444 square m. How long is each side (in m)?
- 12.Use a² − b² = (a + b)(a − b) to find 20² − 18².
- 13.The diagonals of a rhombus are 18 cm and 8 cm. What is its area (in square cm)?
- 14.What is the value of 5⁶? =
- 15.A trapezium has an area of 221 square cm. Its parallel sides are 4 cm and 22 cm. What is the distance between them (in cm)?
- 16.A room is 4 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
- 17.A square garden has an area of 1764 square m. How long is each side (in m)?
- 18.Use a² − b² = (a + b)(a − b) to find 66² − 3².
- 19.Solve: 3t + 11 = 2t + 12. What is t?
- 20.Use (a + b)(a − b) = a² − b² to find 82 × 78.
- 21.How many whole numbers lie between 48² and 49²?
- 22.Use (a + b)² = a² + 2ab + b² to find 37².
- 23.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
- 24.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
- 25.What amount will ₹10800 grow to in 2 years at 25% per year compound interest (in ₹)?
- 26.The length of a rectangle is 10 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
- 27.What is the value of 6⁴? =
- 28.Write 1,90,000 in standard form as 1.9 × 10ⁿ. What is n?
- 29.Write 7¹⁶ ÷ 7⁸ as a single power 7ⁿ. What is n?
- 30.Use a² − b² = (a + b)(a − b) to find 27² − 25².
- 31.What amount will ₹27600 grow to in 1 year at 5% per year compound interest (in ₹)?
- 32.What is 20²? =
- 33.What is the value of 10²? =
- 34.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 35.Which of these is a perfect cube? (a) 40 (b) 27 (c) 37
- 36.What is the smallest whole number by which 539 must be multiplied to get a perfect square?
- 37.What is √2116? =
- 38.What is the value of 5⁴? =
- 39.A father is 34 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
- 40.What is 25²? =
Answer key
- 2
- 84
- 2
- 2116
- 1369
- 1
- 15
- 41
- 7
- 75264
- 38
- 76
- 72
- 15625
- 17
- 72
- 42
- 4347
- 1
- 6396
- 96
- 1369
- 11
- 160
- 16875
- 6
- 1296
- 5
- 8
- 104
- 28980
- 400
- 100
- 2646
- 27
- 11
- 46
- 625
- 12
- 625
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