Formulas and Equations

We estimate MS1-11-FE is worth about 4 marks out of 100 under the new Mathematics Standard 1 syllabus. Practise 5 exam-style questions (multiple choice, numerical answer, multi-part, short answer) with instant marking and a worked solution for every question.

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Topic notes

Substituting into formulas, speed, distance and time, stopping distances, blood alcohol content, medication dosage with Fried's, Young's and Clark's formulas, changing the subject and solving word problems, with step-by-step worked examples.

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Example questions

Example 1 · 1 mark · multiple choice

Young's formula for a child's medicine dose is $D = \frac{y A}{y + 12}$ , where $y$ is the child's age in years and $A$ is the adult dose. The adult dose of a medicine is 400 mg. What is the dose for an 8-year-old child, to the nearest milligram?

A267 mg
B256 mg
C160 mg
D240 mg

Example 2 · 2 marks · multi-part

A formula to estimate the blood alcohol content (BAC) of a male is

BAC = \frac{10 N - 7.5 H}{6.8 M}

where $N$ is the number of standard drinks, $H$ is the number of hours of drinking and $M$ is mass in kilograms. After drinking stops, the time for BAC to fall to zero is estimated by

time (hours) = \frac{BAC}{0.015}

Josh has a mass of 82 kg and has 5 standard drinks over 3 hours.

Answers and worked solutions appear when you practise these questions.

Formulas and Equations

Topic notes

Example questions

Other Mathematics Standard 1 topics