G S Rehill's Interactive Maths Software Series - "Building a Strong Foundation in Mathematics" from mathsteacher.com.au.

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Year 8 Interactive Maths - Second Edition


Problem Solving Unit

Problem 7.1  General Term in a Pattern

1.  Observe the following pattern and complete the remaining lines:

2.  Write an expression for the sum of the terms in the nth row.

3.  What is the middle term in the nth row.


Problem 7.2  The Puzzle

For this problem you may use the following results:

By using the numbers 3 exactly three times, together with any of the four operations (+, –, ×, ÷), brackets and powers of 3 if you need them, try to make an expression equal to the numbers 0 to 9.  For example, an expression to obtain 6 is illustrated below.  There is more than one way in some cases.  Copy and complete the following.

0 =
1 =
2 =
3 =
4 =
5 =
6 = 3 × 3 – 3
7 =
8 =
9 =

 

Study Another Topic in Chapter 7: Indices

Indices ] Index Laws ] Index Law for Division ] Power of Zero ] Index Law for Powers ] Index Law for Powers of Products ] Index Law for Powers of Quotients ] [ Problem Solving Unit ] Symbols ] Index ]

 

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