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Octagon

Week 4

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WALT: Find the rule and missing number

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Number Patterns:

Example:

What are the missing numbers in this pattern? 30 26 22 ? ? 10

What is the rule for the pattern?

Answer 30 26 22 18 14 10

-4 -4 -4 -4 -4

The rule is ‘subtract 4’.

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Fill in the gaps for each of these patterns:

1. 4 10 16 ? 28 ?

+___ +___ +___ +___ +___

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The rule is _____________

2. 80 76 ? 68 ? 60

The rule is _____________

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Find the missing numbers in these:

Write the rule for each one. The first one has been done for you.

  1. 4, 7, 10, ___, 16, ___, ___ The rule is to add 3
  2. 8, 13, 18, ___, 28, 33, __, ___ The rule is:
  3. 2, 2 ½ , 3, 3 ½ , ___, 4 ½ , ___, ___ The rule is:
  4. 300, ____, 200, 150, ___, ____ The rule is:
  5. _____, 400, 200, ___, 50, ____ The rule is:
  6. 2, ___, 8, ___, 32, 64 The rule is:
  7. ___, ___, 9, 8 ½ , 8, 7 ½ , ____, _____ The rule is:

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Which is the incorrect number in each of these pattern?

What number should it be? The first one has been done for you.

  1. 4, 8, 12, 15, 20, 24 The answer is 15
  2. 1, 2, 4, 7, 16, 32, 64 The answer is ______
  3. 90, 86, 82, 79, 74, 70 The answer is ______
  4. 76, 67, 58, 47, 40, 31 The answer is ______
  5. 480, 240, 100, 60, 30, 15 The answer is ______
  6. ½ , 1, 1 ½ ,2, 2 ½ , 3, 4 The answer is _____

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Challenge:

Find the 10th number in each of these patterns. The first one has been done for you.

  1. 20, 24, 28, 32, … Answer = 56
  2. 48, 43, 38, 33, … Answer =
  3. 190, 170, 150, 130, 110, 90, … Answer =
  4. 1, 1 ½ , 2, 2 ½ ,3,... Answer =
  5. 1, 2, 4, 8, … Answer =
  6. 1, 2, 7, 2, 1, 2, 7, 2, … Answer =
  7. 1, 2, 2, 3, 3, 3, 4, 4, … Answer =

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Challenge:

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  1. In your maths book, draw what 4 tents would look like.

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Challenge:

b) Fill in the table based on the information in the last slide:

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c) The families had 12 tents altogether and 25 tent pegs. Will they have enough pegs?

Explain your answer.

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Number of tents

1

2

3

4

5

6

7

8

9

10

Number of pegs

4

6

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Challenge:

d) Another family joined them. How many pegs will they need for 14 tents?

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e) How many tents could be pegged with 80 tent pegs?

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Practice:

Once you have completed all the tasks, click on the image to practice more problems involving number and algebra:

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