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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### Advanced mathematics

### For younger learners

# Racing Odds

##### Editor's note: The hint explains 2 to 1 against in fractional
form

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Age 11 to 14

Challenge Level

An elephant, a hippopotamus and a rhinoceros are entered for a
race. The odds for the rhinoceros and the hippopotamus are:

2 to 1 against the rhinoceros winning and
3 to 2 against the hippopotamus winning.

What are the odds against the elephant winning if the race?

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

If the sides of the triangle in the diagram are 3, 4 and 5, what is the area of the shaded square?