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Year 7 Interactive Maths - Second Edition


Problem Solving Unit

Problem 7.1  Sum and Product

We know that:

This suggests that we can find two whole numbers whose sum is 10 and whose product is 21.  Two such numbers are 3 and 7.

1.  By trial and error, find two whole numbers whose sum is 8 and whose product is 15.
2.  By trial and error, find two whole numbers whose sum is 9 and whose product is 18.
3.  By trial and error, find two whole numbers whose sum is 13 and whose product is 36.
4.  By trial and error, find two whole numbers whose sum is 17 and whose product is 52.
5.  By trial and error, find two whole numbers whose sum is 19 and whose product is 84.
6.  By trial and error, find two whole numbers whose sum is 23 and whose product is 76.
7.  By trial and error, find two whole numbers whose sum is 29 and whose product is 204.
8.  By trial and error, find two whole numbers whose sum is 37 and whose product is 312.
9.  By trial and error, find two whole numbers whose sum is 43 and whose product is 222.
10.  By trial and error, find two whole numbers whose sum is 48 and whose product is 351.


Problem 7.2  Equations

Consider the information given below and work out the number of jelly beans in a full jar.


Problem 7.3  Logic

Katrina spends 18 dollars each fortnight on milk and bread.  Sylvia spends 5 dollars more on milk and bread than Julie who spends 4 dollars more on milk and bread than Katrina.  Anne spends 7 dollars more on milk and bread than Sylvia.  Find how much money is spent on milk and bread each fortnight by:
a. Sylvia
b. Julie
c. Anne


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