O Level Mathematics 4024 Paper 11, May/June 2024

$\mathbf{G}\mathbf{R}\mathbf{A}\mathbf{N}\mathbf{T}$ From this word write down the letters which have

At the start of the day the mass of a bird is $4.628\text{ kg}$. Later in the day the mass of this bird is $4.693\text{ kg}$. Calculate the increase in the mass of the bird. Give your answer in grams.

Work out.

The table shows information about a class of 28 students and the distances they live from their school.

A square and a regular pentagon are joined along one edge as shown in the diagram. Calculate the value of $x$. $x=$

Ahmed invests $\mathrm{\$}4000$ at a rate of $1.5$ per year simple interest. Calculate the value of the investment after 2 years.

Tom’s pet eats $\frac{3}{5}$ of a tin of food each day. Tom needs food for his pet for 12 days. Calculate the number of tins of food Tom needs to buy.

Solve. $$4(2x-3)+5(x+5)=20$$ $x=$

The pie chart shows the proportion of junior members and senior members at a gym. There are 120 more senior members than junior members. Calculate the total number of junior and senior members at the gym.

Solve the simultaneous equations. Show all your working. $$\begin{array}{rl}{\displaystyle 2x+3y}& {\displaystyle =7}\\ {\displaystyle x-6y}& {\displaystyle =6}\end{array}$$ $x=$ $y=$

By writing each number correct to one significant figure, estimate the value of $$\frac{2.87\times \sqrt{396.5}}{{1.92}^2}\mathrm{.}$$

$A$, $B$, $C$ and $D$ are points on the circumference of a circle centre $O$. Angle $BCD={58}^{\circ }$ and angle $DBC={72}^{\circ }$.

The table shows the time that each of 60 children spends in a play area.

In this table, $p$ is directly proportional to $q^2$.

Calculate the value of $a$ and the value of $b$. $a=$ $b=$

$\mathrm{f}(x)=2x-5$

The matrix $\mathbf{N}$ satisfies the equation $$3\mathbf{N}=\mathbf{N}+5\left(\begin{array}{cc}4& 0\\ 6& -2\end{array}\right)$$ Find $\mathbf{N}$. $\mathbf{N}=$

Prism $A$ and prism $B$ are mathematically similar. In the diagram, the cross-sections of the prisms are shaded. The volume of prism $A$ is $5000{\text{ cm}}^3$. The length of prism $A$ is $50\text{ cm}$. The area of the cross-section of prism $B$ is $16{\text{ cm}}^2$. Calculate the length of prism $B$.

$$a=\frac{5b+2x}{x-3}$$ Rearrange the formula to make $x$ the subject. $x=$

$AB$ is a line segment joining $A(-2,5)$ and $B(1,3)$.

$ABCD$ is a quadrilateral. $H$, $K$, $L$ and $M$ are the midpoints of $AB$, $BC$, $CD$ and $AD$ respectively. $\overrightarrow{AB}=2\mathbf{a}$, $\overrightarrow{BC}=2\mathbf{b}$ and $\overrightarrow{AD}=2\mathbf{d}$. Express, as simply as possible, in terms of $\mathbf{a}$ and $\mathbf{b}$ or $\mathbf{a}$, $\mathbf{b}$ and $\mathbf{d}$