Counting in 25s

Part ofMathsAdding and subtractingYear 4

How do you count in 25s?

There are two 25s in 50 and there are four 25s in 100.

If you remember this, it helps you count in steps of 25.

Look at this number line.

Number line from 0 to 200. There are increment jumps of 25 shown with +25s and arrows. Numbers 0, 25, 50, 75, 100 (highlighted), 125, 150, 175, 200 highlighted

With every two steps of 25 there is a bigger step of 50.

Within each hundred there are four steps of 25.

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Quiz

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Patterns of counting in 25s

Counting in larger steps is like counting in small steps, you need to look for patterns in the numbers.

Counting in small steps of 5 has a great pattern.

Number line from 0 to 30. There are 6 jumps from 0 to 30 counting on in 5s. 0, 5, 10, 15, 20, 25 and 30.

Counting in larger steps of 25 also has a pattern.

Number line from 0 to 150. There are 6 jumps from 0 to 150 counting on in 25s. 0, 25, 50, 75, 100,125 and 150.

Multiples of 25 end in:

25, 50, 75 or  00

Counting up in 25s always follows that order.

Here are the multiples of 25 up to 200.

Girl looking thoughtful with a list of numbers next to her. The numbers in order show pattern counting on from 25, 50, 75, 100, 125, 150, 175, and 200. Highlighted in the pattern are the 10s and 1s in the hundreds section, 00, 25, 50, 75 and 00.

Can you see that each number ends in 25, 50, 75 or 00?

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Counting on in 25s

So, if you start at 400 and count in 25s, what are the next 6 numbers?

Focus on the pattern of the tens and ones and check the hundreds when you reach them.

Numbered satin rosettes counting up in 25s from 400. 400, 425, 450, 475, 500, 525 and 550.
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Counting back in 25s

When you count back in 25s, you need to reverse the number pattern.

If you start at 700 and count back in 25s, what are the next 8 numbers?

Kites in a row counting back from 700 to 500. 700, 675, 650, 625,600, 575, 550, 525 and 500.
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Counting in 25s, 50s and 100s

Counting in 25s is related to counting in 50s and counting in 100s.

Let's look at the relationship between them using bar models.

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  1. Grid with 2 rows. Top row says 100. Bottom row is split into 4 units and has 25 in each.

    Look at this bar model. It shows there are four 25s in every 100. Knowing this can help you work out how many 25s there are in 200.

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Missing numbers

You can also use the patterns for counting in 25s to help find missing numbers in a sequence.

Have a look at this number sequence. How could you work out the missing numbers?

A boy called Arthur with brown curly hair, brown eyes and a blue sweat shirt, he is looking thoughtfully at a blank space, 250, 275, blank space and 325.

You can see the sequence has steps of 25 because it goes from 250 to 275.

Look at the tens and ones digits in each number.

Arthur looking and pointing at a blank space, 250, with the last 2 digits (50) highlighted, 275,with the last 2 digits (75) highlighted blank space and 325 with the last 2 digits (25) highlighted.

The pattern for counting in 25s helps work out these missing numbers. Remember, multiples of 25 end in 25, 50, 75 or 00.

Which number in the sequence comes before 250?

Which number comes between 275 and 325?

Arthur smiling next to 225, 250, 275, 300, 325. 225 and 300 are highlighted.
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Example 1

Wigglesworth Academy with a garden at the front and a path leading up to the academy. there are flowers in the grass.

Wigglesworth Academy has 25 children in each class. How many children are in 7 classes?

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Example 2

A washing line on which 5 cards are pegged. They read 450, 475, 490, 525 and 550.

Which number in this sequence is the odd one out?

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