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From the list of numbers write down
(a) the triangle number, .......................... [1]
(b) the even number. .......................... [1]
9 11 15 22 27 33
546
584
516
Insert one pair of brackets to make this statement correct.
$$3 - 2 \times 5 + 1 = 6$$
543
559
517
Complete the statements.
Diagram [Image_A] shows perpendicular lines.
Diagram [Image_D] shows a reflex angle.
594
550
549
(a) Complete the diagram above so that the dotted line is a line of symmetry. [1]
(b) (i) On the grid, plot and label the point $C(3, 1)$. Join the points to form triangle $ABC$. [1]
(ii) A shape is made from two congruent triangles $ABC$ and $ABD$. The shape has rotational symmetry of order 2 and no lines of symmetry. On the grid draw triangle $ABD$. [1]
500
559
556
Look at this train timetable.
\[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline & \text{08 35} & \text{09 00} & \text{09 05} & \text{09 35} & \text{10 05} & \text{10 35} & \text{11 00} & \text{11 35} \\ \hline \text{Bunley} & & \text{08 51} & \text{09 51} & \text{10 51} & \text{11 51} \\ \hline \text{Alton} & & & & & & \text{09 19} & \text{09 44} & \text{09 30} & \text{10 19} & \text{11 19} & \text{11 44} & \text{12 19} \\ \hline \text{Sidcot} & & & \text{09 59} & \text{10 59} & \text{11 59} \\ \hline \text{Bilham} & & & \text{10 22} & \text{10 56} & \text{11 30} & \text{12 22} & \text{12 36} & \text{13 22} \\ \hline \text{Tim Spa} & & & \text{10 35} & \text{11 11} & \text{12 35} & \text{12 49} & \text{13 35} \\ \hline \text{Trickway} & & & \text{11 25} \\ \hline \text{Wester} & & & & & \text{12 14} & \text{13 30} & \text{14 04} \\ \hline \end{array} \]
(a) A train goes from Bunley to Tim Spa without stopping.
Write down the time this train leaves Bunley.
..................................................... [1]
(b) Find which train takes the longest time to travel from Bunley to Wester.
..................................................... [2]
530
554
508
The diagram shows a triangle $ABC$ and a straight line $BD$.
Find the size of angle $x$.
$x = \text{.....................}$
555
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581
Change 45g into kilograms. \[ \text{........................ kg} \] [1]
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529
A = \{ x \mid x \text{ is a factor of 30 and } x \leq 10 \}
List the elements of set A.
\{ \text{............................} \} [2]
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These are the marks of 11 students in a mathematics test.
23 43 17 8 21 23 41 6 15 11 34
Draw an ordered stem and leaf diagram for these marks.
Key ....... | ....... represents ............... [3]
575
587
579
A cyclist travels 120 km in 6 hours.
Calculate his average speed.
............................... km/h [1]
534
565
594
Put a ring around the correct expression for the distance x.
30 \tan 37^\circ
30 \sin 53^\circ
30 \cos 53^\circ
30 \cos 37^\circ
597
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515
The diagram shows a pyramid with vertical height 30 cm. The horizontal base of the pyramid is a square with side 7 cm.
Work out the volume of the pyramid.
.................................... cm^3
529
529
524
The bearing of Town X from Town Y is 045°. Find the bearing of Town Y from Town X.
547
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511
(a) On the grid, draw the image of shape $A$ after an enlargement by scale factor $2$ about centre $C$. [2]
(b) Shape $S$ is the image of a shape after a translation by the vector \( \begin{pmatrix} 2 \\ 3 \end{pmatrix} \).
On the grid, draw the original shape. [2]
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593
The cumulative frequency table shows the marks, $x$, of 100 students in a science test.
[Table_1]
On the grid, draw a cumulative frequency curve to show this information.
539
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524
