Name __________________

Put Patterns To Work For You!

Complete these multiplication squares. As you work, see if you can spot the patterns.

I observed that the product of two even numbers is _______________.

I noticed that the product of two odd numbers is _______________.

I observed that the product of an odd and even number is _______________.

How could you use this knowledge when doing problems like this:

3,492
x 588






Can you see a pattern with odd and even numbers when doing division? Let’s find out.

  1. Write down 5 division problems. Make sure the divisors and dividends are both odd numbers. The first one is done for you.

    1. 35 ÷ 7 = 5
    2.
    3.
    4.
    5.

    What pattern do you notice?



  1. Write 5 division problems again. This time the divisor should be odd and the dividend should be even.

    1.
    2.
    3.
    4.
    5.

    What pattern do you notice?



  1. Finally write 5 more division problems. Both the divisors and dividends should be even numbers.

    1.
    2.
    3.
    4.
    5.

    What pattern do you notice?



How could you use this knowledge about division patterns when doing problems such as:

38,193 ÷ 439 =





Let’s look at more multiplication patterns...

See if YOU can figure out the pattern. Some of the problems are already done for you.

I spot this pattern in the 3’s times table:



Complete this pattern table:

I spot this pattern in the 6’s times table:



Finally complete this pattern table for the 8 facts. You need to keep adding the digits until you get a single digit.

I spot this pattern in the 8’s times table:




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