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A quadrilateral has exactly one pair of parallel sides.
Write down the mathematical name for this quadrilateral.
AB is a straight line.
Find the value of $x$.
$x = \text{.........................}$
A bag contains 2 blue balls, 3 red balls and 5 green balls only.
One ball is chosen at random.
Find the probability that this ball is red.
Write down a prime number between 60 and 70.
Solve.
\(7x + 9 = 5x + 17\)
\(x = \text{.....................}\) [2]
Write 36 as a product of prime factors.
Solve.
$3x + 7 < 1$
Point $A$ has co-ordinates $(2, 12)$. Point $B$ has co-ordinates $(4, 2)$.
Find the co-ordinates of the midpoint of $AB$.
Work out.
$$4\frac{2}{5} - 1\frac{2}{3}$$
Use the cumulative frequency curve to estimate the inter-quartile range.
Here are the first four terms of a sequence.
13 9 5 1
(a) Write down the next term.
....................................................... [1]
(b) Find an expression, in terms of $n$, for the $n$th term.
....................................................... [2]
Simplify. $\sqrt{75} - \sqrt{12} + \sqrt{27}$
Shade the given sets in each of these diagrams.
$A' \cap B$
$(A' \cup B)'$
Point $A$ has co-ordinates $(2, 3)$. Point $B$ has co-ordinates $(4, 11)$.
Find the equation of the line $AB$.
Give your answer in the form $y = mx + c$.
$y =$ ...................................................... [Image]
Expand the brackets and simplify.
$(3x - 5y)(5x - 3y)$
A factory makes soft centre chocolates and hard centre chocolates only. The probability that a chocolate chosen at random has a hard centre is 0.6. Three chocolates are chosen at random.
Find the probability they are all soft centre chocolates.
Factorise.
$4x^2 - 4xy - 3y^2$
Write as a single fraction in its simplest form.
$$ \frac{n+1}{n-1} - \frac{n-1}{n+1} $$