IGCSE Mathematics 0580 Paper 23, Oct/Nov 2023

Tara goes on a journey by train. The train leaves at 0648. The journey takes 12 hours and 35 minutes. Find the time when Tara arrives.

61 63 64 66 68 69 From this list, write down

The stem-and-leaf diagram shows the heights, in centimetres, of some plants.

Key: $10\mid 4$ represents $10.4\text{ cm}$

Shubhu invests $750 in a savings account for 5 years. The account pays simple interest at a rate of 1.8% per year. Calculate the total interest she earns during the 5 years.

The diagram shows triangle $ABC$. $M$ is the midpoint of $AC$. Triangle $ABC$ is rotated ${180}^{\circ }$ about centre $M$. The image and the original triangle together form a quadrilateral $ABCD$.

Rama asks a group of students how they travel to school. The table shows the probability of how a student, chosen at random, travels to school.

Without using a calculator, work out $1\frac{5}{6}÷\frac{11}{15}$. You must show all your working and give your answer as a mixed number in its simplest form.

Find the highest common factor (HCF) of 48 and 80.

$P=\frac{2w{y}^2}{3}$ Find the positive value of $y$ when $P=108$ and $w=8$.

$\overrightarrow{AB}=\left(\begin{array}{c}7\\ -3\end{array}\right)$

A bronze sphere has radius $3.6\text{ cm}$. The density of bronze is $8.05{\text{ g/cm}}^3$. Find the mass of the sphere. Give your answer in kilograms, correct to the nearest gram. [The volume, $V$, of a sphere with radius $r$ is $V=\frac{4}{3}\pi r^3$.] [$\text{Density}=\text{mass}÷\text{volume}$.]

Oliver sent 22% more messages in June than in May. He sent 305 messages in June. Find how many more messages he sent in June than in May.

The graph of $y=2x+1$ is drawn on the grid. By shading the unwanted regions of the grid, find and label the region R which satisfies these inequalities. $$y⩾2x+1y⩾14x+3y<12$$

The box-and-whisker plot shows information about the mass, in kg, of some parcels.

$T=\sqrt{3d-e}$ Rearrange the formula to make $d$ the subject.

A cylinder with height $12.5\text{ cm}$ has a curved surface area of $105\pi {\text{ cm}}^2$. Calculate the volume of the cylinder.

$F$ is proportional to the product of $m$ and $a$. Calculate the percentage change in $F$ when $m$ is increased by 40% and $a$ is decreased by 15%.

Calculate the obtuse angle $PRQ$.

$(x+a)(x+2)(2x+3)$ is equivalent to $2x^3+b{x}^2+cx-18$. Find the value of each of $a$, $b$ and $c$.

The diagram shows a cuboid $ABCDEFGH$. $AB=14\text{ cm}$, $BC=5\text{ cm}$ and $CG=8\text{ cm}$. $M$ is the midpoint of $HG$.

Find the coordinates of the point where the line $4x+y=9$ intersects the curve $y+x^2=5$. You must show all your working.