No questions found
(a) Write $\frac{24}{60}$ in its lowest terms.
.......................................................... [1]
(b) Work out $\frac{5}{7} - \frac{1}{14}$.
.......................................................... [2]
552
510
565
This is a list of ten numbers.
19 24 16 17 22 14 28 34 20 18
(a) Find the range. ................................................................. [1]
(b) Find the median. ................................................................. [2]
580
512
516
A regular polygon has 12 sides.
Find the size of an exterior angle of this polygon.
506
577
600
y varies as the square of (x+1).
When $y = 18$, $x = 2$.
Find $y$ when $x = 3$.
y = \text{.............................................} \quad [3]
594
535
546
Factorise.
(a) \(6ax - 8by - 3ay + 16bx\) .............................................. [2]
(b) \(5x^2 - 7x - 6\) .............................................. [2]
544
534
553
Write in standard form.
(a) 760900 ................................................................. [1]
(b) 0.08007 ............................................................. [1]
511
533
533
A, B, C, \text{ and } D \text{ lie on a circle, centre } O.
Find
(a) angle \( ABC \)
\( \text{Angle } ABC = \text{........................} \) [1]
(b) obtuse angle \( AOC \)
\( \text{Angle } AOC = \text{........................} \) [1]
(c) angle \( OCA \).
\( \text{Angle } OCA = \text{........................} \) [1]
[Image_1: Diagram of circle with points A, B, C, D and center O]
553
566
577
(a) Simplify.
$$\sqrt{2}\left(5\sqrt{8} - 7\sqrt{2}\right)$$ ........................................................ [2]
(b) Rationalise the denominator.
$$\frac{21}{3 - \sqrt{2}}$$ ........................................................ [2]
595
519
543
Vlad has two unbiased dice, each numbered 1, 2, 3, 4, 5, 6.
Vlad rolls the two dice and records the total score.
Find the probability that the total score is
(a) 13 .................................................... [1]
(b) 11. ..................................................... [2]
598
578
595
The point $A$ has coordinates $(4, -1)$ and the point $B$ has coordinates $(8, -3)$.
Find the equation of the perpendicular bisector of the line $AB$.
Give your answer in the form $y = mx + c$.
$y = \text{.................................}$
532
504
570
Write as a single fraction in its simplest form.
$$\frac{8}{4x-1} - \frac{3}{2x+1}$$
541
593
570
