| Question | Answer |
| Welcome to the House Academic Day Mathematics Competition. This completion should take about 15 minutes and you will need to work quickly in your groups to solve as many problems as possible. You may use a calculator for any question. | No Answer
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| | Jo bought 5 pencils. They normally cost $1.20 each, but in the sale she paid $4.50 for all 5 of them. How much did each pencil cost? | 90 cents
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| | How many different sized rectangles can be made from 20 metres of rabbit proof fencing, if the sides must be whole numbers? | 5
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| | The sequence of Happy Numbers is generated by squaring each digit and adding them. Find the 5th number in the sequence 2, 4, 16, 37 ... | 58
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| | What is the tenth digit in the decimal equivalent of 1/7 ? | 8
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| | The number ten is written here as the sum of 2 squares. 10 = 12 + 32 Write the number thirteen as the sum of 2 squares. 13 = _________2 +__________2 | 2,3
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| | My dog Bob is 15 years and 15 months and 15 weeks and 15 days old. How old will he be next birthday? | 17
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| | [5, 7] and [11,13] are called prime pairs, because they are consecutive primes. There are two more prime pairs greater than 13 and less than 40. Find them. | [17, 19] & [29, 31]
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| | Today is the 21st of August. What is the probability that any day chosen at random from this month will be a Thursday? | 4/31
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| | It takes Sue-Mi 1 minute to swim one 50m length of the school pool. Each subsequent length takes her twice as long as the previous length. How long will it take her to swim 500 metres? | 1023min
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| | I am fourteen years old, born on Saturday 1st January 2000. What day of the week will my 21st birthday be on? | Friday |
