Remarkable / Worksheets / Grade 5 Maths / Patterns and number sentences
A one-page CAPS Grade 5 Maths poster on patterns and number sentences (Patterns and algebra), with the key ideas, key words and a tip to remember.
A pattern follows a rule. Look at the gap between each number to find the rule.
3, 7, 11, 15, 19: add 4 each time
Sometimes the gap changes in a pattern of its own. Find the gaps first.
1, 2, 4, 7, 11: the gaps are 1, 2, 3, 4
The next gap is 5, so the next number is 16.
A rule changes the input into the output. Do the same to every input.
Rule: multiply by 4
Input 3 gives output 12. Input 9 gives output 36.
n + 38 = 100, so n = 100 − 38 = 62
6 × n = 72, so n = 72 ÷ 6 = 12
Guess, test, then make a better guess. Check by putting your answer back in.
(n × 6) + 4 = 58
Try 8: (8 × 6) + 4 = 52, too small
Try 9: (9 × 6) + 4 = 58, so n = 9
Count the pieces in each picture. Look for what is added each time.
Squares in a row need 4, 7, 10, 13 matchsticks. Each new square adds 3.
Learners can practise this topic for free with a short quiz and flashcards, with no sign-up. Open the Patterns and number sentences revision.