Shape and Number Pattern Rule

The table shows two sequences of numbers.
 
The rule that describes the number of T-shirts sold relates to the amount earned is....

• multiply by 5

• add 10

• multiply by 3

• divide by 5

Mia and Mya are creating patterns. Mia starts with the number 4 and uses the rule "add 3"; Mya starts with the number 2 and uses the rule "multiply by 2". What's the first number that appears in both patterns?

• 7

• 22

• 9

• 16

What would be the 15th shape?

• 
• 

You have shape 1, 2 and 3 in the picture. How many square will be in shape 5?

• 13

• 21

• 17

• 50

Here is a repeating pattern of shapes.
Each shape is numbered.
The pattern continues in the same way.
Write the numbers of the next two stars in the pattern.

• 11 and 16

• 24 and 30

• 12 and 16

• 12 and 30

In this diagram the rule is

‘to make the number in a triangle,

multiply the numbers in the two squares above it’.

Write in the three missing numbers.

• 24, 4, 40

• 24, 256, 80

• 16, 4, 40

• 27, 5, 45

Here is part of a number square.

The shaded numbers are part of a sequence.

Explain the rule for the sequence.

• Subtracting 9 each time

• Adding 12 each time

• Adding 9 each time

• Subtracting 20 each time

Here is a sequence of patterns made from squares and circles.

The sequence continues in the same way.

Calculate how many squares there will be in the pattern which has 25 circles.

• 12 circles

• 9 circles

• 15 circles

• 20 circles

In this sequence each number is double the previous number.

Write in the missing numbers.

• 0.75, 1.2, 69

• 0.45, 1.5, 69

• 1.2, 1.75, 96

• 0.75, 1.5, 96

Write the missing numbers in this sequence.

• 6 and 2

• 8 and 2

• 8 and 12

• 6 and 12