Elmswood bus depot recorded the number of passengers carried by three routes last Saturday, shown in the table below. Each total happens to be a perfect squ...
Question 1 Report
Elmswood bus depot recorded the number of passengers carried by three routes last Saturday, shown in the table below. Each total happens to be a perfect square. The depot manager wants the square root of each total worked out by hand before the figures go into next month's report.
| Route | Passengers |
|---|---|
| A | 324 |
| B | 441 |
| C | 576 |
- Work out \(\sqrt{324}\). (1)
- Work out \(\sqrt{441}\). (1)
- Work out \(\sqrt{576}\), and write down which route carried the most passengers. (2)
Answer Details
A square root undoes squaring, so finding \(\sqrt{324}\), \(\sqrt{441}\) and \(\sqrt{576}\) means finding the number that, when multiplied by itself, gives each total.
- (a) [1]. Since \(18^2 = 324\), \(\sqrt{324} = 18\).
- (b) [1]. Since \(21^2 = 441\), \(\sqrt{441} = 21\).
- (c) [2]. Since \(24^2 = 576\), \(\sqrt{576} = 24\). Comparing the original passenger totals directly, 576 is the largest of \(324\), \(441\) and \(576\), so Route C carried the most passengers.
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