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Exam-Style Questions on Ratio Standard Form

Problems on Ratio Standard Form adapted from questions set in previous Mathematics exams.

1.

GCSE Higher

The surface gravity, \(g\), of a planet is the gravitational acceleration experienced at its surface. The following formula can be used to find how a planet's gravity compares to Earth's.

$$g=\frac{6.67 \times 10^{-11} \times m}{r^2}$$

Where \(m\) is the mass of the planet and \(r\) is the radius.

Find the ratio of the surface gravity on Jupiter and the surface gravity Mars. Give your answer in the form \(n:1\).

Mass (kg)Radius (m)
Jupiter1.90 × 10276.68 × 107
Mars6.39 × 10233.39 × 106

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