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Numeric and geometric patterns

Finding the rule of a number pattern, and working out far terms with a position rule. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Number patterns

  • Find the rule: what happens from one term to the next? 3; 7; 11; 15 → +4.
  • Patterns can also multiply or divide: 2; 6; 18; 54 → ×3.
  • Some grow by a growing step: 1; 2; 4; 7; 11 → +1, +2, +3, +4.
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The position rule

To find a far term (e.g. the 50th), link the term to its position. Pattern 4; 7; 10; 13: term = 3 × position + 1. The 50th term = 3 × 50 + 1 = 151.

Meerkat tip

The step between terms becomes the number that multiplies the position. Then test the first term to find the extra number.

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Geometric patterns

A geometric pattern grows with shapes or drawings. Build squares in a row with matchsticks: 1 square uses 4 matchsticks, 2 squares use 7 and 3 squares use 10.

Number of squares1234
Matchsticks471013
Rule

Each new square adds 3 matchsticks, so 4 squares use 10 + 3 = 13. Draw the next picture or make a table to go further.

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Remember this and test yourself

Remember this: your summary
  • Find the rule from term to term.
  • Patterns can add, subtract, multiply or divide.
  • Far terms: link the term to its position.
  • The step becomes the number in front of the position.

Write these points in your book. Read them again the night before the test.

Memory trick

Step → multiply; first term → check.

Flash cards · Tap to turn over

Important words

First say the answer yourself, then turn the card over.

Now the real quiz!

The quiz has many more questions on this topic. Every question shows straight away whether you are right and explains why.

Take the quiz: Numeric and geometric patterns
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For parents
  • Let your child work the examples on paper and explain them to you.
  • The ticks (“I know this”) are saved on this device only. We never ask for names or emails.

Follows CAPS for Grade 4 Mathematics. Always check your teacher’s notes and textbook too.

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