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Work out.
(a) 23 - 6 \times 3
Answer(a) ......................................................... [1]
(b) 8 \div (32 \div 4)
Answer(b) ......................................................... [1]
Write down the five factors of 16.
Answer...................................................
Joe buys a magazine for $1.50 and a drink for $2.35.
How much change does Joe get from $5?
(a) Write down the next fraction in this sequence.
$$\frac{1}{2}, \frac{1}{5}, \frac{1}{8}, \frac{1}{11}, \frac{1}{14}, \ldots$$
Answer(a) ............................................... [1]
(b) The $n$th term of a sequence is $n^2 - 3$.
Find the first three terms of this sequence.
Answer(b) ............... , ............... , ............... [2]
In the last ten football matches, West Port FC scored the following numbers of goals.
2 5 1 1 4 7 1 3 1 4
Find
(a) the range,
Answer(a) ................................................ [1]
(b) the median,
Answer(b) ................................................ [2]
(c) the mean.
Answer(c) ................................................ [2]
(a)
The diagram shows a triangle with one side extended.
Work out the size of angle $p$.
Answer (a) ............................................................
[2]
(b)
Work out the size of angle $q$.
Give a reason for your answer.
Answer (b) $q = ...................................$ because .....................................................................................
..............................................................................................................................................
[2]
Change 5.6 square centimetres into square millimetres.
Answer ......................................................... $\text{mm}^2$ [1]
Write the following numbers in standard form.
(a) 346
Answer(a) .......................................... [1]
(b) 0.00216
Answer(b) .......................................... [1]
Estimate the answer to the following calculation by rounding each number to 1 significant figure. Show all your working.
$$\frac{19.4 + 32.96}{0.472}$$
Answer ..........................................................
Draw the enlargement of the pentagon, centre $P$, scale factor 3.
Peter is $x$ years old.
Jane is 4 years older than Peter.
Write down an expression, in terms of $x$, for Jane’s age.
Make $r$ the subject of this formula.
$$A = 4 \pi r^2$$
Answer $r = \text{.....................}$
Solve the following simultaneous equations.
\(6x + 10y = 26\)
\(2x + 5y = 12\)
\text{Answer} \ x = \text{..................................................}
\ y = \text{..................................................}
(a) On the grid, plot the points $A(-3, 3)$ and $B(5, -3)$.
(b) Find the gradient of the line $AB$. Answer(b) ................................. [2]
A biased coin is spun two times. The probability of the coin showing a head is $\frac{1}{5}$.
(a) Complete the tree diagram.
(b) Find the probability of the coin showing a head both times. Answer(b) \text{.......................................................... }$[2]$
Write down the letter of the diagram that shows
(a) $y = -x - 1$,
Answer(a) ............................................................ [1]
(b) $y = 2x + 1$.
Answer(b) ............................................................ [1]