SPPS Convent School , Begowal
Class-VIII
Revision Assignment
Subject: Mathematics
Topics : Mensuration and Factorisation
I. Multiple choice questions:
1.The circumference of the circle is
(a)2πr
(b)πr
c)πr2
(d)2πr2
2. The area of the rhombus is 224 m2 and one of its diagonal is 16m ,the length of
other diagonal is
a). 25m
b). 26m
(c). 27m
(d). 28m
3. The area of an equilateral triangle with side 8cm is
(a). 8√3 sq.cm
(b). 16√3 sq.cm
(c). 14√3 sq.cm
(d). 12√3 sq.cm
4. Degree of any constant term is
(a). 0
(b) 1
(c) 3
(d) 2
2 2
5. (a -b ) / (a-b) is equal to
(a). a + b
(b). a – b
(c). a3- b3 (d). a2 + b2
II. Fill in the blanks:
1. (25x2 -16y2) = (5x+……….)(………..)
2. x2- 12x + 35 =……………
3. 1 kilolitre = ………..litre.
4. Volume of a Cuboid =………..
5. Square is a particular type of………..
III.True/False
1.All rhombus are parallelogram.
2.Area of trapezium=1/2(sum of parallel sides)*(distance between them)
3.A cuboid has 8 edges and 12 vertices.
4.Perimeter of a circle is called area.
5. The amount of space occupied by solid is called its volume.
IV.Match the following:
1 .25x 2+150xy+225y2
a).middle term splitting
2.4x2-12x2y2-8x
(b).(a+b)2=a2+2ab+b2
3.ab2-ba2-ab+a2
(c)Taking out common term
4. x2-17x+60
(d)Regrouping of terms
5.(48x)2 - (52x)2
(e)a2-b2=(a+b)(a-b)
6. x2-4xy+4y2
(f)(a-b)2=a2-2ab+b2
V .Very Short Answer Questions:
1 ) Top surface of a table is trapezium in shape. Find its area if its parallel sides
are 1m and 1.2m and its perpendicular distance between them is 0.8 m
2 )Find the side of a cube whose surface area is 600 cm2 ?
3). Factorise:
x2 + xy + 8x + 8y
4)Find the common factors of the given terms:
2y , 22xy
VI Short Answer Questions:
1)
Factorise:
x4 - y4
2)Find the factors of a2+6a-16
3)Find the area of rhombus whose side is 6 cm and altitude is 4 cm
4)Find the height of a cylinder whose radius is 7cm and the total surface area is
968 cm2?
VII Long Answer Questions:
1) A rectangular paper of width 14cm is rolled along its width and a
cylinder of radius 20 cm is formed. Find the volume of the cylinder. (Take
π=22/7)
2) Find the volume and the total surface area of a right circular cylinder
whose height and the radius of the base are 20cm and 14 cm respectively.
3) Factorise :
a)25 ( x + y )2 – 16 (x - 2y ) 2
b) 28x-21y+8x2-6xy
Answer Key
Multiple Choice Questions
1. (a)
2. (d)
3. (b)
4. (a)
5. (a)
Fill in the blanks:
1. (5x+4y)(5x-4y)
2. (x - 7)(x - 5)
3. 1000 litres
4. (length*breadth*height ) cubic units
5. parallel
Very Short Answer Questions
1. 0.88 m2
2. 10 cm
3. (x+8)(x+y)
4. 2y
Short Answer Questions:
1. (x2+y2) (x + y) (x - y)
2. (a+8) (a-2)
3. 11 cm2
4. 15 cm
Long Answer Questions:
1. 17600 cm3
(or)
12320 cm3 and 2992 cm2
2. (9x - 3y) (x +13y) (or) (4x - 3y)(7 + 2x)