Algebra & Measurement
Algebra & Measurement
Algebra & Measurement
Algebra & Measurement
Algebra & Measurement
100

Find the value of these expressions, if x = 2, y = 3 and z = -5.

2x - yz


19

100

A rectangular paddock has perimeter 100 m.

Find the breadth of the paddock if its length

is 30 m.

 Breadth = 20 m

100

Write an expression for the following:

The cost of a pizza ($11) shared between m people

$11 / m

100

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

100

A square has a perimeter of 64 cm. How many square centimetres in its area ?

256 cm2

200

Simplify


12mn÷ (36mn)

   n

____

  3

200

Find the area of a circle whose diameter is 1.06 km


A = 0.88 km2

200

Fully simplify

(-5mn) ×(−7mp)×(2np) 

70m2n2p2

200

The surface area of a cylinder is

 A = 2π r 2 + _________.

2πrh

200

Find the missing term to make the following true.

4xy × (    ) = -24x2y

-6x

300

Simplify expressions by removing brackets:


3(2x + 2) - 4 (x+4)

2x - 10

300

A pizza with diameter 40 cm is divided into eight equal parts. Find the area of each portion

157 cm2

300

Simplify:

3x         3x

__   -   __

10        2



-6x
___
5

300

A cube’s surface area is 54 cm2. What is its volume?

27 cm3

300

 simplify: 

(2x-2)3 + (3x)0

    8
______  +   1
    x6

400

Simplify the following using the index law for multiplication

3x2y3  x  4 x3y4

12 x5y7

400

What is the area of the triangle?

Area = 15 m2

400

Expand and simplify the binomial products 

(4x - 2)(x + 5)

4x2 + 18x − 10

400

The radius of the circle is 3m.
Find
A) the circumference
B) The area

A) 18.85 m

B) 28.27 m2

400

Factorise the following:

4x2 - 10x

2x(2x - 5)

500

Factorise
x2 + 2x − 3

(x + 3)(x − 1)

500

What name is given to the line AB?

Chord

500

2a3b × 3a2 b3

____________

12 a4 b2

ab2

___

2

500

 6c4d6
_______

15 c3d

 2cd5

_____

   5

500

A square sandpit has perimeter (4x + 12) metres. What is the side length of the square?

(x + 3) metres

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