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From this list of numbers, write down
(a) the multiple of 11,
......................................................... [1]
(b) the prime number,
......................................................... [1]
(c) the square number,
......................................................... [1]
(d) the lowest common multiple (LCM) of 4 and 5.
......................................................... [1]
20 25 29 32 33 40 45
564
500
537
Share $150 in the ratio 2:3.
$ ................... and $ ................... [2]
501
556
582
Write down the mathematical name for an 8-sided shape.
.........................
592
589
586
(a)
Write down the size of the angle marked $a$ and give a reason for your answer.
$$a = \text{.....................} \text{because} \text{..........................................................................................}$$
......................................................................................................................... [2]
(b)
Find the size of the angle marked $q$.
$$q = \text{.........................................}$$ [2]
522
508
504
Give two examples of discrete data.
1. .........................................................................................................................................................
2. .........................................................................................................................................................
594
583
522
This sign is a company logo.
The diagram shows a rectangle with two identical right-angled triangles removed.
Work out the area of the shaded region.
Give the units of your answer.
564
519
523
The diameter of an atom is 0.00000003 metres.
Write this number in standard form.
540
540
558
Voroda invests $200 at 3\% per year \textbf{simple} interest.
Work out the total value of this investment at the end of 4 years.
$\text{.................................} \quad [3]
520
538
524
(a) Factorise.
4x + 10
.................................. [1]
(b) Expand.
4(9a - 3b)
.................................. [1]
510
515
506
Simplify. \[ \frac{2x}{3} \times \frac{9x}{10} \] = \text{.....................}
576
578
587
The point $A$ has co-ordinates $(3, 2)$ and $\overrightarrow{AB} = \begin{pmatrix} 5 \\ -3 \end{pmatrix}$.
Find the co-ordinates of the point $B$.
\((\text{.....................},\text{.....................})\) [2]
508
516
552
Find the gradient of the line $4y = 3x - 7$.
526
588
545
The point $A$ has co-ordinates $(2, 7)$.
The point $B$ has co-ordinates $(5, 1)$.
Find the co-ordinates of the midpoint of the line $AB$.
(..................., .................)
527
554
550
The function $f(x) = x^2$ is defined for $-3 \le x \le 6$.
Write down the range of $f(x)$.
586
528
593
Describe the single transformation that maps the graph of $y = \frac{1}{x}$ onto the graph of $y = \frac{1}{x+3}$.
530
584
572
Reflect triangle $P$ in the line $y = x$.
533
540
559
