Pattern & Sequence

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

Write the two missing numbers in this sequence.

• 100 and 65

• 96 and 65

• 101 and 67

• 100 and 56

The first two numbers in this sequence are 2.1 and 2.2

The sequence then follows the rule :

‘to get the next number, add the two previous numbers’

Write in the next two numbers in the sequence.

• 10.8 and 17.1

• 11.6 and 18.2

• 10.8 and 17.3

• 10.6 and 18.2

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

The numbers in this sequence increase by the same amount each time.

Write the missing numbers.

• 34, 56, 74

• 35, 56 and 70

• 36, 65, 72

• 35, 65, 72

The numbers in this sequence increase by 45 each time.

Write the missing numbers.

• 112, 280, 355

• 140, 290, 315

• 110, 290, 335

• 110, 280, 355

The numbers in this sequence decrease by the same amount each time.

303604, 302604, 301604, 300604, …

What is the next number in the sequence?

• 299604

• 289604

• 299406

• 298406