GCSE English and Maths Resits (Grade 4) · Maths

Ratio and Proportion

32 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 32 questions

A bike costs £ $180$ including VAT at $20%$ . What was the price before VAT was added?
A rectangle $4$ cm by $6$ cm is enlarged by scale factor $2.5$ . What is the perimeter of the enlarged rectangle?
A car is worth £ $18000$ and loses $12%$ of its value each year. What is it worth after $2$ years?
Change $1.5$ m $^{3}$ into cm $^{3}$ .
Priya and Tom share $360$ stickers in the ratio $5 : 4$ . How many stickers does Priya get?
$\frac{3}{5}$ of the students in a class are girls. What is the ratio of boys to girls?
A shopkeeper buys a jacket for £ $40$ and sells it for £ $52$ . What is the percentage profit?
A car travels $120$ km at an average speed of $48$ km/h. Another car makes the same journey in $20$ minutes less. What is its average speed?
In a ratio $A : B = 3 : 2$ , what percentage of the total is $A$ ?
Dev drives $60$ km at $40$ km/h and then $60$ km at $60$ km/h. What is his average speed for the whole journey?
$y$ is inversely proportional to $x$ . When $x = 4$ , $y = 6$ . What is $y$ when $x = 8$ ?
Write the ratio $45 : 60 : 75$ in its simplest form.
A car uses $8$ litres of petrol per $100$ km. How far can it travel on $30$ litres?
A map has a scale of $1 : 25000$ . Two villages are $6.4$ cm apart on the map. What is the real distance in kilometres?
Two similar shapes have corresponding lengths of $3$ cm and $7.5$ cm. The smaller shape has area $12$ cm $^{2}$ . What is the area of the larger shape?
A fruit cake uses flour, sugar and butter in the ratio $4 : 2 : 3$ . The total mass of these three ingredients is $450$ g. What mass of butter is used?
$5$ identical machines take $12$ hours to make an order. How long would $8$ of the machines take?
The ratio of Mia's money to Leo's money is $3 : 2$ . Mia gives Leo £ $6$ and they then have the same amount. How much did Mia have to start with?
$y$ is directly proportional to $x$ . When $x = 4$ , $y = 12$ . What is $y$ when $x = 7$ ?
A cyclist rides at $18$ km/h for $40$ minutes. How far does she travel?
Convert $2.5$ m/s to kilometres per hour.
Sam and Tia share money in the ratio $3 : 5$ . Tia gets £ $45$ more than Sam. How much is shared in total?
A recipe for $8$ people uses $240$ g of rice. How much rice is needed for $14$ people?
Zoe earns £ $11.40$ an hour. She works for $7$ hours $30$ minutes. How much does she earn?
A metal block has mass $540$ g and volume $200$ cm $^{3}$ . What is its density in g/cm $^{3}$ ?
$A : B = 2 : 3$ and $B : C = 4 : 5$ . Find $A : B : C$ .
A train travels $150$ km in $2$ hours $30$ minutes. What is its average speed?
$4$ taps fill a tank in $30$ minutes. All taps run at the same rate. How long would $6$ taps take?
A town has $5400$ people living in an area of $12$ km $^{2}$ . What is the population density?
In a club the ratio of boys to girls is $3 : 5$ . There are $21$ boys. How many members are there altogether?
A tablet costs £ $150$ before VAT. VAT is charged at $20%$ . What is the price including VAT?
A price rises by $10%$ and then falls by $10%$ . Compared with the original price, the final price is:

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