Patterns and Sequences

Hard⏱ 25 min

$A string of colourful beads arranged in a repeating pattern$

A is a of or to a . the you out what . Each in a is called a .

2, 4, 6, 8, 10 — the is "add 2 each ". These are the even ! Odd the "add 2" from 1: 1, 3, 5, 7, 9.

The even numbers as equal jumps of 2: 2, 4, 6, 8, 10. The same-size gap is the rule.

Some by . The 1, 2, 4, 8, 16 by 2 each . This is called a . that add the each (like 3, 6, 9, 12) are called .

Find the rule and you can always work out the next term.

🧩 Continue this sequence in the right order: 5, 10, 15, ?, ?

To the , at the gap between . 3, 7, 11, 15 — the gap is 4, so the is "add 4".

can also . 20, 17, 14, 11 the " 3". The would be 11 − 3 = 8. a or is the to the .

🔗 Match each sequence to its rule.

in . The 3 3, 6, 9, 12, 15... Every is a of 3. The sum of every of 9 up to 9 (e.g. 18: 1+8=9; 27: 2+7=9). That is a !

The — 1, 1, 2, 3, 5, 8, 13 — has a : each is the sum of the two before it. 1+1=2, 1+2=3, 2+3=5, and so on. It in and in !

✍️ Find the missing numbers in these sequences.

10, 20, 30, , 50 — : add 10. And 1, 2, 4, 8, — : by 2.

can be made of too. A like , , , , , every 3 . To the 7th , that 7 = 6 + 1, so it the again — the 7th is a .

Position	1	2	3	4	5	6	7
Shape	🔵	🟥	🔺	🔵	🟥	🔺	🔵

This pattern repeats every 3 shapes. Position 7 starts the cycle again — so it's a circle.

🗂️ Sort each number: is it in the 6 times table, or not?

🃏 Flip a card to test the 6 times table.

Tap each card to see the answer.

Quiz time! 📝

Question 1 of 5

Tip: log in to save your score and track progress.

What is the for the 3, 6, 9, 12?