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27 39 49 51 53 55 58
From this list write down the prime number.
A is the point (1, 3) and B is the point (4, 9).
Find \( \overrightarrow{AB} \).
\( \overrightarrow{AB} = \left( \begin{array}{c} \text{ } \end{array} \right) \) [2]
AB = AC.
Find the value of x.
x = ................................................
$144 is shared in the ratio 1 : 7.
Find the value of the smaller share.
$ \text{............................................} \ [2]$
Ciara buys 6 red pens and 4 blue pens for a total cost of $3.90.
Blue pens cost $0.45 each.
Find the cost of one red pen.
$\text{.....................}$ [3]
Write each number in standard form.
(a) 58000 .............................................................. [1]
(b) 0.00809 .............................................................. [1]
The interior angle of a regular polygon is 160°.
Find the number of sides of this polygon.
Solve the equation.
$45 - \frac{90}{x} = 15$
$x = \text{............................}$
The mean of two numbers is 46.
The difference between the two numbers is 12.
Find the two numbers.
........................ and ....................... [2]
Solve the equation.
$x^2 - 5x - 24 = 0$
$x = \text{.....................}$ or $x = \text{.....................}$ [3]
Rationalise the denominator and simplify your answer.
$$\frac{32}{\sqrt{8}}$$
The volume of a sphere is $\frac{32}{3\pi}$ cm$^3$.
Find the radius of the sphere.
A is the point (1, 8) and B is the point (5, 0). Find the equation of the perpendicular bisector of AB in the form $y = mx + c$. \[y = \text{...........................................} \text{ [4]}\]
Rearrange the formula to make $x$ the subject.
$A = \frac{3x}{2x - 5}$
$x = \text{..................................................}$
Factorise completely.
$5x^2 - 12y^2$
The probability that it rains today is 0.3. If it rains today, the probability that it will rain tomorrow is 0.4. If it does not rain today, the probability that it will rain tomorrow is 0.15. Find the probability that it will rain tomorrow.