Class 8 Maths sample paper 1

Q.1Choose the correct.

1. The factorization of 12x+36 is__________________.

• A.12(x+3)     
• B.12(3x)        
• C.12(3x+1)
• D.x(12+36x)

2. When we factorize x²+5x+6, then we get:______________.

• A.(x+2)(x+3)
• B.(x–2)(x–3)
• C.(x×2)+(x×3)
• D.(x×2)–(x × 3)

3. The area of a trapezium is 480 cm2, the distance between two parallel sides Is 15 cm and one of the parallel sides is 20 cm. The other parallel side is: ________________.

• A.20cm
• B.34cm
• C.44cm
• D.50cm

4. A cuboid has______ pairs of identical faces.

• A.2
• B.3
• C.4
• D.5

5. If a cuboidal box has height, length, and width as 20cm, 15cm, and 10cm respectively. Then its total surface area is:

• A.1100cm²
• B.1200cm²
• C.1300cm²
• D.1400cm²

Q2. Fill in the blacks.

1. Common factor of 12 and 36x is_______.
2. 26x / 13 =______.
3. Area of parallelogram = ______.
4. Area of trapezium = ______.
5. If radius and height of cylinder is 1cm and 7cm respectively then volume of  cylinder is _______.

Q3. Solve the following. 

1. The parallel sides of a trapezium measure 12cm and 20cm. Calculate its area if  the distance between the parallel lines is 15cm.
2. Calculate the height of a cuboid which has a base area of 180cm² and volume is 900 cm³.
3. A lawnmower takes 750 complete revolutions to cut grass on a field. Calculate the area of the field if the diameter of the lawnmower is 84cm and the length is 1m.
4. Factorize (x+y)² – 4xy.
5. Solve for (4x² –100) ÷ 6(x+5).
6. Factorize x2 +6x–16.