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Age 7 to 11

Challenge Level

Mr. Sunshine tells the children they will have 2 hours of homework each evening every school day in the year.

Harry, who has a horror of homework, hauls out his homework diary. The school calendar shows 180 school days this year.

He wants to calculate how many full days of homework he will have.

**Can you help Harry figure out the number of
days?**

Hmmm...Harry thinks he has too much work to do and goes to his teacher. "What else do you do with your time?" asks Mr Sunshine. Harry makes a list.

"This is **not** a leap year", Harry reminded
himself as he begins his task. I go to school for 7 hours a day,
though it seems much longer! My mother says everybody must have 8
hours of sleep each night, and I do. As he has a snack, his
estimates that he spends 2 hours a day eating.

Harry stops and gets a calculator to help him discover just how
he spends his time. He realises that he needs to **round
off** his answers to the nearest day.

**How much time does Harry spend on school, snoozing and
snacking?**

Not content with the time he has already accounted for, Harry carries on counting.

"Well, weekends are taken up with sports and visiting. I'm way too busy for homework," he thinks. He adds in all of the weekend days to his growing list.

"I could do with a holiday after all this work", he thinks. Ahh, holidays. Harry looks at the calendar again, he has counted weekends so that leaves 11 weeks of weekdays for holidays.

A few jottings and calculator keys later, Harry realises he can't possibly do 15 days of homework this year.

**Is Harry correct?**

Mr Sunshine checks Harrys calculations, they seem to be right. He thought about it and said, "We need to spend some time trying and explain what's happened here, Harry."

**What can you say about Harry's reasoning ?**

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?