Patterning And Algebra
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4Patterning and Algebra
2007/2008 Circle 3 Problem 2
Problem
1000
100
10
1
1
99
2
99
3
99
Calculate and write the first five multiples of 99 in
4
99
the chart given. What pattern do you notice in each column?
5
99
Use this pattern to predict the next five multiples of 99. Add
then to the chart. Check your predictions with a calculator.
Extensions:
1. Add to your chart the multiples of 99 from 11
99 to
15 99. Use any new patterns you can see to predict and
write the next five multiples of 99 (to 20
99). Check
with a calculator.
2. Predict and write the multiples of 99 from 21
99 to
25
99. Check with a calculator.
3. WITHOUT USING YOUR CALCULATOR, using the
pattern you discovered in 1, predict the value of 89 99.
4. Write the sum of the digits in each product. Describe
the results.
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