Mathematics 4024 · O Level · Ratio and proportion

Ratio and proportion — practice question

This bag contains a mix of fruit.
(a)[2]

Calculate the mango mass as a percentage of the total mass of the mixed fruit.

(b)[2]

Tom prepares a drink by mixing juice and water in the ratio $3:7$. He makes $1.4$ litres of the drink. Calculate how much juice Tom uses. Give your answer in millilitres.

(c)[2]

The price of a fruit drink is directly proportional to the amount of juice it contains. A fruit drink containing $125\,\text{ml}$ of juice costs $\$1.50$. Calculate the price of a fruit drink containing $175\,\text{ml}$ of juice.

(d)[2]

Kofi has a bag with nuts and raisins. The bag contains $285\,\text{g}$ of raisins. Nuts make up the remaining $62\%$ of the mass in the bag. Calculate the mass of nuts in the bag.

(e)[3]

The mass of mixed nuts and seeds in a bag is $500\,\text{g}$, accurate to the nearest $10\,\text{g}$. The mass of nuts in the bag is $350\,\text{g}$, accurate to the nearest $5\,\text{g}$. Calculate the upper bound and the lower bound of the mass of seeds in the bag.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct percentage calculation reaching 35

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