Given that x is a whole number, work out the values of x which satisfy this inequality.

4  <  2x  ≤  8

Three containers are shown.

The capacity of the jug is 2 litres.
The cylinder has a radius 5 cm and height 15 cm.
The cuboid has width 12 cm, length 15 cm and height 8 cm.

Determine the volume of the cylinder.

Volume of a cylinder = πr²h

A carpet costs £15 per square metre.
The total delivery charge is £21
Peter buys n square metres of carpet.


The expression which represents the total cost in £ is ........................

Which is larger?

2/5 of 410                                            38% of 420

Here is a mapping. x²

Which of the functions could represent the mapping?

A and B are points with coordinates (–2, 5) and (6, –7)

M is the midpoint of the line joining A to B.

Work out the coordinates of M.

Work out the temperature after the change.

The temperature starts at 6 °C and it falls by 13 °C.      ............................ °C

Two fair four-sided dice numbered 1 to 4 are rolled and the scores are multiplied
together.



What is the probability of obtaining a prime number?

The diagram shows three scatter graphs.



What type of correlation is shown in Graph C?

The diagram shows a pentagon ABCDE.



Angle EAB = 118°
All of the following can tell from the size of this angle that the pentagon is not regular EXCEPT.

Work out

5.44 ÷ 1.6 = .........................

Yuri and Hassan take part in a 40 kilometre race as shown on the distance-time graph below



Work out the difference in the number of minutes that Yuri and Hassan take to run the race.

A cuboid has dimensions 8 cm, 5 cm and 14 cm. 



Find the cross-sectional area of the cuboid.

A fair spinner is in the shape of a regular hexagon as shown below



What is the probability of getting an odd
number to be 1/3?

A company makes 12 different types of television.
The cost (in dollars) and screen size (in centimetres) of each type of television are
shown in the scatter diagram.



The company is introducing a new television with a screen size of 85 cm.
Which one of the costs below do you think would be most appropriate for the new television?

$320           $530           $690           $800

Work out

(3  -  2/3) (1  -  5/7)

Decide whether each of these statements is true or false.

Which of them is/are true?

I.    9° = 0

II.   9⁸ x 9⁴ = 9²

III.   9³ x 9² = 9⁵

Find the first 4 terms of the sequence.

The position-to-term rule is multiply by 2 then add 3

...............;   ..................;   ................;    ..................

Look at these numbers:
5           6           7           8           9           10

Using only the numbers above, write down a prime number.

Find the sum of the first four negative integers.

A teacher wrote this sum on the board.

$9.61 + $0.39 + $2.71 + $5.28 + $7.29 + $4.72
She said,

A circular fish pond has an area of 20m²

Calculate the diameter of the fish pond.

Determine if 1400 millilitres is 

less than 1 litre     equal to 1 litre      more than 1 litre

Part of a train timetable is shown below.



Grace wants to travel from Staveley to Kendal.
She arrives at Staveley station at 14 30.

How long will she have to wait for the train?

Here is a relationship involving powers of 5

5^m  ÷  5ⁿ  =  5⁴

m and n are positive whole numbers each greater than 1
One of these is a possible pair of values for m and n.

Expand the brackets:

6(2w + 5)

Tireni is playing a game.
The probability of winning is 0.3
What is the probability of not winning?

A restaurant manager records the time (in minutes) that customers wait for their food to be served.
The back to back stem-and-leaf diagram shows his results for customers eating at
lunchtime and in the evening.

When are waiting times generally longer and why?

A teacher asks all the students in her class to write down an algebraic expression.
Julie writes down this expression:                  4w - 5
The expression that Jim writes down is:       2w + 14

What value of w makes the value of Julie’s expression EQUAL to the value of Jim’s
expression?

Here is a number line.


Which of these range of values satisfy the inequality?

This table shows the mass of a child at different ages.


Calculate the percentage increase in mass from age 5 to age 8

The diagram below shows two quadrilaterals, Q and R, on a grid.



Which of the following describes fully the transformation that maps quadrilateral Q onto quadrilateral R.

Put a ring around all the numbers that are exactly divisible by 9
3,     56,     72,     93,     146,     198

Choose one of the words in the options to complete this sentence.

It is  ............................  that the day after Wednesday is Sunday.

The diagram shows triangle ABC


Triangle ABC is reflected in the x-axis.
Write down the coordinates of the image of point A.

x and y are positive numbers.
Below is a statement.

X  ×  Y  >  0

The above statement is .......................

Use the information that:

22.1  x  32.5  =  718.25

Find the value of
718.25  ÷  3.25

x and y are positive numbers.
Below is a statement.

X  ÷  Y  <  0

The above statement is .......................

The diagram shows a probability scale.

The probability of the first event on the probability scale is?
The third one has been done for you.

A – The probability of a new baby being a boy.
B – The probability of picking a blue pen from a box containing 2 black pens and 8 blue pens.
C – The probability of rolling a 7 on a dice with faces numbered 1 to 6
D – The probability of picking the letter M at random from the letters in the word GAME.

The table below shows some time differences.
It is not complete.



Determine the time difference between
Johannesburg and Wellington.

Fatima has a phone.

The time on the phone is 17:23
Write this time using the 12-hour clock.

Complete the statement

0.75 m  =  ................................ cm

Fill in the spaces.

(p + 3) (.........  -    .......)  =  p² - p - 12 

Put one set of brackets in the calculation to make the answer correct.

24 ÷ 12 – 8 + 2 = 4

The table shows hourly rates of pay in a factory.



Anjola works for 6 hours during the day on Monday and for 5 hours on Tuesday night.
Calculate how much money Anjola earns altogether.