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Broad Topics >

Fractions, Decimals, Percentages, Ratio and Proportion > Equivalent fractions, decimals and percentages

##### Age 11 to 14 Challenge Level:

Where will the point stop after it has turned through 30 000
degrees? I took out my calculator and typed 30 000 ÷ 360. How
did this help?

##### Age 11 to 14 Challenge Level:

The number 2.525252525252.... can be written as a fraction. What is
the sum of the denominator and numerator?

##### Age 11 to 14 Challenge Level:

What is the last digit of the number 1 / 5^903 ?

##### Age 11 to 14 Challenge Level:

The Egyptians expressed all fractions as the sum of different unit
fractions. The Greedy Algorithm might provide us with an efficient
way of doing this.

##### Age 14 to 16 Challenge Level:

Find the decimal equivalents of the fractions one ninth, one ninety
ninth, one nine hundred and ninety ninth etc. Explain the pattern
you get and generalise.

##### Age 11 to 14 Challenge Level:

A jigsaw where pieces only go together if the fractions are
equivalent.

##### Age 11 to 16 Challenge Level:

Match the cards of the same value.