ESAT (Engineering and Science Admissions Test) · Mathematics 1

Ratio and proportion

7 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 7 questions

Six workers build a wall in $10$ days, all working at the same rate. How many days would $8$ workers need for the same wall?
A map has a scale of $1 : 25000$ . Two villages are $6.4$ cm apart on the map. What is the real distance between them?
The lengths of two similar solids are in the ratio $2 : 3$ . The smaller solid has volume $40 cm^{3}$ . What is the volume of the larger solid?
Two friends share $£600$ in the ratio $3 : 5$ . How much more does the larger share receive than the smaller share?
$y$ is inversely proportional to $x^{2}$ . When $x = 3$ , $y = 8$ . What is $y$ when $x = 6$ ?
A recipe for 4 people uses 250 g of flour. A cook scales it up to feed 10 people. How much flour does the cook need?
A car uses $6.5$ litres of fuel per $100$ km. How far can it travel on $52$ litres?

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