O Level Mathematics 4024 Paper 11, May/June 2023

$1234.4÷8$

$\frac{3}{7}$ $\text{ of }$ 56

Write down the fraction of this $3\times 3$ square that is shaded.

Evaluate ${0.5}^2$.

The diagram shows four straight lines meeting at a point. Work out the value of $x$.

$ABC$ is a straight line and $BCD$ is an equilateral triangle. Work out the value of $y$.

Benjamin's age is $t$ years. Maryam is 5 years younger than Benjamin. Write an expression for Maryam's age in terms of $t$.

Colin's age is twice Benjamin's age. Write an expression for Colin's age in terms of $t$.

Given that $a=3$ and $b=-2$, evaluate $5a-2b$.

Insert one set of brackets to make the calculation correct. $$3+5\times 2-7=9$$

Insert $+$, $-$ and $\times$ to make the calculation correct. $$3527=20$$

Complete the pattern so that $AB$ is the only line of symmetry.

A hexagon has rotational symmetry of order 6. The perimeter of the hexagon is $30\text{ cm}$. Draw a sketch of the hexagon labelling the lengths of the sides.

Here are five temperatures in ${}^{\circ }\text{C}$. -18 -21 -2 17 -10 Write these temperatures in order from coldest to hottest.

Work out the temperature that is $5^{\circ }\text{C}$ colder than $-{18}^{\circ }\text{C}$.

Find the length, in cm, of the longest piece of rope.

Find the total length of rope. Give your answer in metres.

Work out $1\frac{1}{3}\times \frac{8}{9}$. Give your answer as a mixed number in its simplest form.

Kate has a bunch of grapes. She ate $\frac{1}{4}$ of the grapes in the morning. She ate $\frac{2}{3}$ of the grapes in the afternoon. Work out the fraction of the grapes that she has not eaten.

Ali keeps a record of the computer games he plays. Out of the first 6 games, Ali wins 4. Out of the first 20 games, Ali wins 13. Use these results to find the best estimate for the probability that Ali will not win the next computer game he plays.

A spinner is spun $n$ times. The spinner lands on red 14 times. The relative frequency of the spinner landing on red is 0.2. Find the value of $n$.

The bearing of Mingfield from Lenton is ${156}^{\circ }$. Calculate the bearing of Lenton from Mingfield.

On a map, the distance between Lenton and Mingfield is $4.5\text{ cm}$. The actual distance between Lenton and Mingfield is $9\text{ km}$. Find the scale of the map in the form $1:n$.

$5(3x-2)-3(2x-3)$

$(2x+3)(x-7)$

$7y+2xy-6x-21$

$3a^2-12b^2$

Write down the minimum number of people at the cricket match.

The number of males attending the match is $21000$ correct to the nearest five hundred. Find the maximum number of females that could be attending the cricket match.

Find the coordinates of the midpoint of $AB$.

Line $l$ is the locus of points that are equidistant from $A$ and $B$. Find the equation of line $l$.

Find $\overrightarrow{OB}$ in terms of $\mathbf{a}$ and $\mathbf{c}$.

Express, as simply as possible, in terms of $\mathbf{a}$ and $\mathbf{c}$ $\overrightarrow{AM}$

$\overrightarrow{AT}$.

Show that $ATM$ is a straight line.