No questions found
Work out.
(a) $(-4)^2$ .......................................................... [1]
(b) $(0.3)^2$ .......................................................... [1]
585
539
512
(a) Write down a prime number between 80 and 90. ..................................................... [1]
(b) Write down a triangle number between 30 and 50. ..................................................... [1]
582
551
532
(a) Shade two squares so that this shape has exactly one line of symmetry. [1]
(b) Shade two squares so that this shape has rotational symmetry of order 2. [1]
553
516
581
A cat eats $1\frac{2}{3}$ tins of food each day.
How many tins are needed for one week?
525
506
594
Factorise.
(a) $x^2 - 1$ .................................................. [1]
(b) $3x^2 - 6ax - axy + 2a^2y$ .................................................. [2]
521
583
588
Triangle $ABC$ is isosceles and angle $A = 40^{\circ}$.
Find the three possible values for angle $B$. .................................................... .................................................... ....................................................
587
551
568
The mean of 10 numbers is 15.
When an 11th number is included, the mean is 16.
Find the 11th number.
562
527
576
200 students record the method they use most to travel to school. The results are shown in the table.
[Table_1]
\begin{tabular}{|c|c|c|c|c|}\hline\text{Method of travel} & \text{Bus} & \text{Car} & \text{Walk} & \text{Cycle} \\ \hline\text{Number of students} & 40 & 98 & 37 & 25 \\ \hline\end{tabular}
(a) Find, as a fraction, the relative frequency of a student travelling to school by bus.
.................................................... [1]
(b) Give a reason why it is reasonable to use your answer to part (a) to estimate the probability that a student travels to school by bus.
.............................................................................................................................. [1]
(c) The school has 1800 students.
Estimate the number of students who travel to school by bus.
.................................................... [1]
550
539
525
(a) Solve $3x - 2 > 7x + 6$. ......................................................... [2]
(b) Show your solution to part (a) on this number line.
[1]
534
567
597
Rearrange this formula to make $a$ the subject.
$$ y = \frac{3a - 2}{a - 1} $$
504
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560
The equation of the line $L$ is $y = 3x - 2$.
(a) Find the co-ordinates of the point $A$, where the line $L$ crosses the $y$-axis.
$\text{(................ , ................)}$ [1]
(b) Find the co-ordinates of the point $B$, where the line $L$ crosses the $x$-axis.
$\text{(................ , ................)}$ [1]
(c) The line $M$ passes through the point $A$ and is perpendicular to the line $L$.
Find the equation of the line $M$.
.............................................................. [2]
563
532
518
$ABCD$ is a parallelogram.
$AP = PQ = QC$.
Show that triangles $BQC$ and $DPA$ are congruent.
Statement Reason
...................................... ..........................................................
...................................... ..........................................................
...................................... ..........................................................
...................................... ..........................................................
588
521
556
The diagram shows a sketch of the graph $y = x^2 + bx + c$.
The minimum point is at $P(2, -3)$.
Find the value of $b$ and the value of $c$.
$b = \text{.............................}$ $c = \text{.............................}$
597
526
555
The table shows the height, $h \, \text{cm}$, of some plants.
[Table_1: Height and Frequency]
(a) Complete the histogram to show this information.
[Image_1: Histogram]
(b) Find the value of $p$ and the value of $q$.
$p = \text{..................................................}$
$q = \text{..................................................}$
562
573
575
