Find the value of these expressions, if x = 2, y = 3 and z = -5.
2x - yz
19
A rectangular paddock has perimeter 100 m.
Find the breadth of the paddock if its length
is 30 m.
Breadth = 20 m
Write an expression for the following:
The cost of a pizza ($11) shared between m people
$11 / m
The circumference of a circle of diameter 12.5 cm is
A) 122.72 cm
B) 490.87 cm
C) 39.27 cm
D) 3.927 cm
c
A square has a perimeter of 64 cm. How many square centimetres in its area ?
256 cm2
Simplify
12mn2 ÷ (36mn)
n
____
3
Find the area of a circle whose diameter is 1.06 km
A = 0.88 km2
Fully simplify
(-5mn) ×(−7mp)×(2np)
70m2n2p2
The surface area of a cylinder is
A = 2π r 2 + _________.
2πrh
Find the missing term to make the following true.
4xy × ( ) = -24x2y
-6x
Simplify expressions by removing brackets:
3(2x + 2) - 4 (x+4)
2x - 10
A pizza with diameter 40 cm is divided into eight equal parts. Find the area of each portion
157 cm2
Simplify:
3x 3x
__ - __
10 2
-6x
___
5
A cube’s surface area is 54 cm2. What is its volume?
27 cm3
simplify:
(2x-2)3 + (3x)0
8
______ + 1
x6
Simplify the following using the index law for multiplication
3x2y3 x 4 x3y4
12 x5y7
What is the area of the triangle?
Area = 15 m2
Expand and simplify the binomial products
(4x - 2)(x + 5)
4x2 + 18x − 10
The radius of the circle is 3m.
Find
A) the circumference
B) The area
A) 18.85 m
B) 28.27 m2
Factorise the following:
4x2 - 10x
2x(2x - 5)
Factorise
x2 + 2x − 3
(x + 3)(x − 1)
What name is given to the line AB?
Chord
2a3b × 3a2 b3
____________
12 a4 b2
ab2
___
2
6c4d6
_______
15 c3d
2cd5
_____
5
A square sandpit has perimeter (4x + 12) metres. What is the side length of the square?
(x + 3) metres