O Level Mathematics 4024 Paper 12, May/June 2024

Here are five temperatures in ${}^{\circ }\mathrm{C}$. $$41-60-2$$ Write these temperatures in order, starting with the lowest.

Write these numbers in order of size, starting with the smallest. $$0.45\frac{3}{8}40\mathrm{\%}$$

Shade one more small square so the diagram has one line of symmetry.

Shade one more small square so the diagram has rotational symmetry of order 2.

Convert 4 kilograms to grams.

Convert $250{\mathrm{c}\mathrm{m}}^3$ to litres.

The diagram shows a parallelogram. Find the perimeter of the parallelogram.

The diagram shows a trapezium. The area of the trapezium is $36{\mathrm{c}\mathrm{m}}^2$. Find the value of $y$.

Jack uses number cards to make a 2-digit number. Complete the missing card to give a 2-digit number that is not a prime number.

Mei says: When I add two multiples of 3, the answer is always a multiple of 6. Give an example to show that Mei is wrong.

Work out $\frac{2}{7}÷\frac{1}{3}$.

Work out $\frac{5}{6}+\frac{3}{4}$. Give your answer as a mixed number.

A train leaves station $A$ at 07 43. The train arrives at station $B$ at 10 27. Work out the time the train takes to travel from station $A$ to station $B$.

A bus leaves the bus station at 06 25. It arrives at the airport at 07 05. The distance from the bus station to the airport is $24\mathrm{k}\mathrm{m}$. Calculate the average speed of the bus for this journey. Give your answer in $\mathrm{k}\mathrm{m}\mathrm{/}\mathrm{h}$.

Write an expression, in terms of $x$, for the total number of pens in the box. Give your expression in its simplest form.

The total number of pens in the box is 27. Find the number of red pens in the box.

Measure the bearing of $C$ from $B$.

$D$ is $250\mathrm{m}$ from $C$ and $300\mathrm{m}$ from $A$. Use a ruler and compasses only to complete the scale drawing of the field $ABCD$.

There is a path across the field. The path is equidistant from $AB$ and $BC$. Use a straight edge and compasses only to construct the path.

$a=5b+7$ Find the value of $a$ when $b=-2$.

$c=4d-9$ Rearrange the formula to make $d$ the subject.

Find the relative frequency of Kamal receiving 0 to 5 phone calls at work in one day.

Kamal works for 160 days. Find the number of these days Kamal would expect to receive 11 or more phone calls at work.

Write 42000000 in standard form.

Evaluate $(1.3\times {10}^{-4})+(7.4\times {10}^{-3})$. Give your answer in standard form.

Find the value of $x$.

Find the value of $y$.

Evaluate ${125}^{-\frac{1}{3}}$.

Simplify ${\left(\frac{a^3}{4a}\right)}^{\frac{3}{2}}$.

The mass of a bag of almonds is $125\mathrm{g}$, correct to the nearest gram. Write down the lower bound of the mass of the bag of almonds.

The mass of a large box is $500\mathrm{g}$, correct to the nearest 10 grams. The mass of a small box is $250\mathrm{g}$, correct to the nearest 10 grams. Calculate the upper bound of the difference between the mass of a large box and the mass of a small box.

Find ${\mathrm{f}}^{-1}(x)$.

Simplify $\mathrm{f}(x)-\mathrm{f}(2x)$.

By drawing a tangent, estimate the gradient of the curve when $x=2$.

By drawing a suitable line on the grid, find the solutions of $\frac{1}{x}-\frac{5x}{2}+1=0$.

Find ${\mathbf{A}}^{-1}$.

$\mathbf{A}\mathbf{X}=\left(\begin{array}{c}7\\ 4\end{array}\right)$ Find $\mathbf{X}$.