This section is Section 1 of 3.

Speed as well as accuracy is important in this section. Work quickly, or you might not finish the paper. There are no penalties for incorrect responses, only marks for correct answers, so you should attempt all 35 questions. Each question is worth one mark.

You must complete the answers within the time limit. Calculators are NOT permitted.

Good Luck!

Hugh painted a room 60% pink and 40% orange.

Before he began he had three full 1.5 litre pots of paint: one red, one yellow and one white. He mixed equal amounts of red and yellow to create the orange paint and he mixed red and white in the ratio 1:3 to create the pink paint.

He made exactly the amounts of orange paint and pink paint that he needed. After doing so, he had 900 ml of the yellow paint left.

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1. How much of the red paint did Hugh have left?
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    Explanation

    The correct answer is C.

    In a deeply questionable interior design choice, 60% of the paint was pink and 40% was orange. Using the ratios therefore, our 40% of orange can be represented as 20% of red and 20% of yellow. Similarly, our 60% pink is equal to 15% red and 45% white. We are told that 900ml of yellow paint was left, so 600ml overall must have been used. This represents 20% of the overall paint used, so 1% must be 30ml. We know that 20% + 15% of red paint was used overall to total 35%. If 1% is 30ml, we can calculate 35 x 30 to tell us 1050ml of red paint was used.

    Therefore, 450ml was left over.

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