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Find the value of $x$.
$x = \text{.....................}$ [2]
512
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533
Expand the brackets and simplify.
$2(3x - 1) + 3(1 - 2x)$
..........................................
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502
A quadrilateral has
• two pairs of parallel sides
• all sides the same length
• no right angles.
Write down the mathematical name of this quadrilateral.
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16 10 11 15 10 12 14 13 17 10 15
Find the median of these eleven numbers.
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584
Work out the following. Give each answer in standard form.
(a) \((1 \times 10^1) + (2 \times 10^{-2})\) ....................................................... [2]
(b) \((1 \times 10^1) \div (2 \times 10^{-2})\) ....................................................... [2]
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518
A bag contains 2 blue balls, 3 red balls and 5 green balls only. John takes a ball out of the bag at random. He records the colour and puts the ball back in the bag. Flavia takes a ball out of the bag at random and records the colour.
Find the probability that both balls are red.
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531
a = \begin{pmatrix} 6 \\ 8 \end{pmatrix} \quad b = \begin{pmatrix} 2 \\ -8 \end{pmatrix}
(a) Find \ a - 3b. \quad [2]
(b) Work \ out \ |a|. \quad [2]
598
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A travel agent has the following exchange rates.
$\pounds1 = \$1.25$
$\pounds1 = €1.20$
(a) Change £200 into dollars (\$).
$\$ \text{.................................................} \quad [1]$
(b) Change \$100 into euros (€).
$€ \text{.................................................} \quad [2]$
600
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530
The point $A$ has co-ordinates $(1, 3)$ and the point $B$ has co-ordinates $(4, 1)$. $B$ is the midpoint of the line $AC$.
Find the co-ordinates of the point $C$.
\( ext{( .................. , .................. )} \)
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Make $a$ the subject of $s = ut + \frac{1}{2}at^2$.
$a = \text{...............................}$
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566
Erica walks 13 km in 2 hours. She then runs at a speed of 12 km/h for 45 minutes.
Find her average speed in km/h for the whole journey.
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The diagram shows a circle, centre $O$.
$AOB$ is a straight line.
$BCD$ is a tangent to the circle at $C$.
Find $y$ in terms of $x$.
502
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The table shows the heights, $x$ cm, of some students at a school.
[Table_1]
On the grid below, draw a histogram to show this information.
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