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Reception Maths · ReceptionChapter 6 · Taking away within 10
Reception · Chapter 6

Taking away within 10

By the end of this chapter you will be able to

  • I can take away from a group and count what is left
  • I can count back to take away
  • I can write a number sentence with the minus sign and the equals sign
  • I can find the missing number when some things are taken away
  • I can check my answer by adding the number taken away back on

You should already know

  • Counting to 10 (Chapter 1)
  • Adding within 10 (Chapter 5)

Where this leads

  • Numbers to 20 (Chapter 2)
  • Comparing quantities (Chapter 3)

Early Years Foundation Stage for England, maths. Content: Take away from a group and count what is left, Count back to take away on a number track, Use the sign minus and the equals sign in simple number sentences, Find the missing number in a take-away problem, Check a take-away answer by adding back.

Exercise P  Do you remember?

Non-calculator
1
FWhat number is one less than 8?
12345678910
2
FHow many wheels does a tricycle have?
3
FWhich number comes before 6?
12345678910
4
FWhat is 2 + 2?
5
FWhich is less, 3 or 6?
6.1

Taking away and counting what is left

Reception
Take away from a group and count what is left
Video lesson: Taking away and counting what is leftComing soon

Mia has 5 apples. She eats 2 of them. How many apples are left?

Start with all the apples. Take away the ones that go, and cross them out. Then count only the apples that are left.

Five apples. Two are taken away (crossed out).

Key ideas

  • Take away means some are removed.
  • Count only the things that are left.
  • Check: the left-over and the taken-away make the start.
Worked example 6.1.1
Mia has 5 apples. She eats 2. How many are left?

Key words. Take away means some are removed. The sign − means take away.

Method. Start with all of them. Take away the ones that go, then count what is left.

  1. Start with 5. Count all the things first.
    5 in all
  2. Take away 2. Cross out the ones that are taken away.
    5 − 2
  3. Count what is left. Count only the ones that are not crossed out.
    3 left
  4. Write the answer.
    3

Check. Add them back: 3 + 2 = 5. ✓

Watch out. Count only what is left. Do not count the crossed out ones.

Worked example 6.1.2
There are 7 stars. 3 fly away. How many stars are left?

Key words. Take away means some are removed. The sign − means take away.

Method. Start with all of them. Take away the ones that go, then count what is left.

  1. Start with 7. Count all the things first.
    7 in all
  2. Take away 3. Cross out the ones that are taken away.
    7 − 3
  3. Count what is left. Count only the ones that are not crossed out.
    4 left
  4. Write the answer.
    4

Check. Add them back: 4 + 3 = 7. ✓

Watch out. Count only what is left. Do not count the crossed out ones.

Worked example 6.1.3
There are 6 balls. 1 rolls away. How many balls are left?

Key words. Take away means some are removed. The sign − means take away.

Method. Start with all of them. Take away the ones that go, then count what is left.

  1. Start with 6. Count all the things first.
    6 in all
  2. Take away 1. Cross out the ones that are taken away.
    6 − 1
  3. Count what is left. Count only the ones that are not crossed out.
    5 left
  4. Write the answer.
    5

Check. Add them back: 5 + 1 = 6. ✓

Watch out. Count only what is left. Do not count the crossed out ones.

Watch out

Watch out: count the ones that are left, not the ones that were taken away.

Exam tip

Grown-up tip. Use five buttons. Move two off the table. Ask: “How many are left?” Then put the two back and count all five again.

Exercise 6A  Taking away and counting

Non-calculator
1
F5 apples. 2 are taken away. How many are left?
2
F7 stars. 3 are taken away. How many are left?
3
F6 balls. 1 is taken away. How many are left?
4
F8 cubes. 4 are taken away. How many are left?
5
F9 apples. 5 are taken away. How many are left?
6
F10 balls. 3 are taken away. How many are left?
7
FWhat is 4 take away 1?
8
FWhat is 6 take away 2?
9
PSBen had 8 stickers. He gave 3 to Sam. How many stickers does Ben have now?
10
PSThere are 6 birds on a fence. 2 fly away. How many birds are left on the fence?
11
PSMia has 9 cakes. She eats 4 of them. How many cakes are left?
12
RLee says 5 take away 5 is 5. Is he right? Explain.
6.2

Counting back on a number track

Reception
Count back to take away
Video lesson: Counting back on a number trackComing soon

Ravi is on number 8 on a track. He goes back 3 steps. He counts back: 7, 6, 5.

Counting back means going down one number at a time. Start with the number you have. Say each number as you go down. The last number you say is the answer.

12345678910
Start at 8 (shaded). Count back 3.

Key ideas

  • Start at the bigger number.
  • Count back one number at a time.
  • The last number you say is the answer.
Worked example 6.2.1
Ravi is on 8. He counts back 3. Which number is he on now?
12345678910

Key words. Count back means count down, one number at a time.

Method. Start at 8 and count back 3. The number you reach is the answer.

  1. Start at 8. Start with the number you have.
    8
  2. Count back 3. Each number is one less than the one before.
    7, 6, 5
  3. Look at the last number you said. It is the answer.
    5
  4. Write the answer.
    5

Check. Count on 3 from 5: you reach 8. ✓

Watch out. Count back one at a time. Do not count the starting number again.

Worked example 6.2.2
What is 6 take away 2?

Key words. Count back means count down, one number at a time.

Method. Start at 6 and count back 2. The number you reach is the answer.

  1. Start at 6. Start with the number you have.
    6
  2. Count back 2. Each number is one less than the one before.
    5, 4
  3. Look at the last number you said. It is the answer.
    4
  4. Write the answer.
    4

Check. Count on 2 from 4: you reach 6. ✓

Watch out. Count back one at a time. Do not count the starting number again.

Worked example 6.2.3
What is 9 take away 4?

Key words. Count back means count down, one number at a time.

Method. Start at 9 and count back 4. The number you reach is the answer.

  1. Start at 9. Start with the number you have.
    9
  2. Count back 4. Each number is one less than the one before.
    8, 7, 6, 5
  3. Look at the last number you said. It is the answer.
    5
  4. Write the answer.
    5

Check. Count on 4 from 5: you reach 9. ✓

Watch out. Count back one at a time. Do not count the starting number again.

Watch out

Watch out: count back one at a time. Do not jump two numbers, and do not count the start number again.

Exam tip

Grown-up tip. Walk down a row of steps, saying each number as you go. Then ask: “Which step are you on now?”

Exercise 6B  Counting back

Non-calculator
1
FStart at 8. Count back 3. Which number do you reach?
12345678910
2
FWhat is 6 take away 2?
3
FWhat is 9 take away 4?
4
FWhat is 10 take away 3?
5
FWhat is 5 take away 1?
6
FWhat is 7 take away 7?
7
FCount back from 9 to 6. Write the numbers.
8
FStart at 10. Count back 4. Which number do you reach?
9
FWhat is 8 take away 5?
10
PSAli has 10 pencils. He lends 6 to a friend. How many pencils does he have left?
11
PSRuby is on step 7. She goes down 3 steps. Which step is she on now?
12345678910
12
PSUse the track. Which number is 2 less than 9?
12345678910
13
RElla says 4 take away 1 is 5, because counting back makes the number bigger. Is she right? Explain.
6.3

The minus sign and number sentences

Reception
Use the sign minus and the equals sign in number sentences
Video lesson: The minus sign and number sentencesComing soon

Jack writes a sum to show what happened. He had 5 cubes. He took 2 away. He has 3 left.

He writes 5 − 2 = 3. The minus sign − means take away. The equals sign = means is the same as.

5
−
2
=
?
A number sentence with the minus sign: 5 − 2 = 3.

Key ideas

  • − means take away.
  • = means is the same as.
  • Read the sentence: five take away two is the same as three.
Worked example 6.3.1
Write the number sentence for 5 take away 2.

Key words. The minus sign − means take away.

Method. Write the first number, the minus sign, the second number, the equals sign and the answer.

  1. Write the first number. This is the number we start with.
    5
  2. Add the minus sign and the number taken away. The minus sign means take away.
    5 − 2
  3. Add the equals sign and the answer. The equals sign means is the same as.
    5 − 2 = 3
  4. Write the answer.
    5 − 2 = 3

Check. Check by adding back: 3 + 2 = 5. ✓

Watch out. Write the minus sign between the two numbers, not a plus sign.

Worked example 6.3.2
Write the number sentence for 9 take away 4.

Key words. The minus sign − means take away.

Method. Write the first number, the minus sign, the second number, the equals sign and the answer.

  1. Write the first number. This is the number we start with.
    9
  2. Add the minus sign and the number taken away. The minus sign means take away.
    9 − 4
  3. Add the equals sign and the answer. The equals sign means is the same as.
    9 − 4 = 5
  4. Write the answer.
    9 − 4 = 5

Check. Check by adding back: 5 + 4 = 9. ✓

Watch out. Write the minus sign between the two numbers, not a plus sign.

Worked example 6.3.3
Fill in the answer: 6 − 1 = __

Key words. Take away means some are removed. The sign − means take away.

Method. Start with all of them. Take away the ones that go, then count what is left.

  1. Start with 6. Count all the things first.
    6 in all
  2. Take away 1. Cross out the ones that are taken away.
    6 − 1
  3. Count what is left. Count only the ones that are not crossed out.
    5 left
  4. Write the answer.
    5

Check. Add them back: 5 + 1 = 6. ✓

Watch out. Count only what is left. Do not count the crossed out ones.

Watch out

Watch out: the minus sign means take away. Do not write a plus sign by mistake.

Exam tip

Grown-up tip. Write the number sentence on paper with a big minus sign. Read it aloud together: “Five take away two is the same as three.”

Exercise 6C  Number sentences with minus

Non-calculator
1
FWrite the number sentence: 5 take away 2 is 3.
2
FWrite the number sentence: 9 take away 4 is 5.
3
FFill in the answer: 6 − 1 = __
4
FFill in the answer: 8 − 3 = __
5
FWhat does the minus sign mean?
6
FWhat does the = sign mean?
7
FWrite the number sentence for 10 take away 4 is 6.
8
FFill in the missing number: 7 − __ = 4
9
FWhich number sentence is right? Choose 8 − 3 = 4, or 8 − 3 = 5.
10
PSSam writes 6 − 2 = 3. What mistake did he make? Write the right sentence.
11
PSFill in the missing number: 9 − __ = 6
12
RExplain why 7 − 2 = 5 but 7 − 5 = 2.
6.4

Finding the missing number

Reception
Find the missing number in a take-away problem
Video lesson: Finding the missing numberComing soon

Lily had 8 cubes. Now she has 5 cubes. Some were taken away. How many?

Start at 8. Count back until you reach 5. The number of steps is how many were taken away: 3.

Eight cubes. Three were taken away.

Key ideas

  • Start at the number you had at the start.
  • Count back until you reach what is left.
  • The number of steps is the missing number.
Worked example 6.4.1
Lily had 8 cubes. She has 5 left. How many were taken away?

Method. Start at 8. Count back until you reach 5. The number of steps is the missing number.

  1. Start at 8. That is the number we start with.
    8
  2. Count back to 5. Count each step as you go down.
    7, 6, 5
  3. Count the steps. The number of steps is the missing number.
    3 steps
  4. Write the answer.
    3

Check. Check: 5 + 3 = 8. ✓

Watch out. Count the steps, not the numbers you say.

Worked example 6.4.2
Fill in the missing number: 9 − __ = 6

Method. Start at 9. Count back until you reach 6. The number of steps is the missing number.

  1. Start at 9. That is the number we start with.
    9
  2. Count back to 6. Count each step as you go down.
    8, 7, 6
  3. Count the steps. The number of steps is the missing number.
    3 steps
  4. Write the answer.
    3

Check. Check: 6 + 3 = 9. ✓

Watch out. Count the steps, not the numbers you say.

Worked example 6.4.3
Fill in the missing number: 7 − __ = 2

Method. Start at 7. Count back until you reach 2. The number of steps is the missing number.

  1. Start at 7. That is the number we start with.
    7
  2. Count back to 2. Count each step as you go down.
    6, 5, 4, 3, 2
  3. Count the steps. The number of steps is the missing number.
    5 steps
  4. Write the answer.
    5

Check. Check: 2 + 5 = 7. ✓

Watch out. Count the steps, not the numbers you say.

Watch out

Watch out: count the steps, not the numbers you say. Three steps down from 8 gives 5.

Exam tip

Grown-up tip. Hide some cubes under a cloth. Ask: “How many did I hide? How do you know?” Then count them to check.

Exercise 6D  Missing numbers in take-away

Non-calculator
1
F7 − __ = 4. What is the missing number?
2
F5 − __ = 2. What is the missing number?
3
F9 − __ = 5. What is the missing number?
4
F6 − __ = 6. What is the missing number?
5
F10 − __ = 7. What is the missing number?
6
F8 − __ = 1. What is the missing number?
7
F8 − __ = 3. What is the missing number?
8
F4 − __ = 0. What is the missing number?
9
PSBen had 10 stickers. Now he has 4. How many did he give away?
10
PSRavi had 7 cars. There are 2 cars left in the box. How many cars were taken out?
11
PSLily had 9 biscuits. She has 3 left. How many did she eat?
12
RExplain how you could check that 9 − 6 = 3 by adding.
6.5

Stories and checking

Reception
Solve one-step take-away stories, Check by adding back
Video lesson: Stories and checkingComing soon

There are 9 fish in a tank. 4 swim away behind the rocks. How many fish are still in the tank?

Take away 4 from 9. Then check your answer by adding the 4 back. Do you get 9?

Nine balls. Four are taken away.

Key ideas

  • Read the story and find the number taken away.
  • Take away, then count what is left.
  • Check by adding back.
Worked example 6.5.1
There are 9 fish. 4 swim away. How many are left?

Key words. Take away means some are removed. The sign − means take away.

Method. Start with all of them. Take away the ones that go, then count what is left.

  1. Start with 9. Count all the things first.
    9 in all
  2. Take away 4. Cross out the ones that are taken away.
    9 − 4
  3. Count what is left. Count only the ones that are not crossed out.
    5 left
  4. Write the answer.
    5

Check. Add them back: 5 + 4 = 9. ✓

Watch out. Count only what is left. Do not count the crossed out ones.

Worked example 6.5.2
Check: 7 − 2 = 5. Does adding back 2 give 7?

Method. Check your answer by adding the take-away number back on.

  1. Find the answer: 7 − 2. Take away and count what is left.
    5
  2. Add the number taken away. If you added it back, you should get the start again.
    5 + 2 = 7
  3. Write the answer.
    5

Check. The check works: 5 + 2 = 7. ✓

Watch out. If the check does not give the start number, count again.

Worked example 6.5.3
Mia has 10 balloons. 6 float away. How many are left?

Key words. Take away means some are removed. The sign − means take away.

Method. Start with all of them. Take away the ones that go, then count what is left.

  1. Start with 10. Count all the things first.
    10 in all
  2. Take away 6. Cross out the ones that are taken away.
    10 − 6
  3. Count what is left. Count only the ones that are not crossed out.
    4 left
  4. Write the answer.
    4

Check. Add them back: 4 + 6 = 10. ✓

Watch out. Count only what is left. Do not count the crossed out ones.

Watch out

Watch out: a story may use words like “gone”, “away” or “eaten”. These all mean take away.

Exam tip

Grown-up tip. Make up short stories with toys. Ask: “How many went away? How many are left?” Then count the toys that are left to check.

Exercise 6E  Stories and checking

Non-calculator
1
FWhat is 9 take away 3?
2
FWhat is 10 take away 5?
3
FWhat is 8 take away 0?
4
FWhat is 6 take away 4?
5
FWhat is 5 take away 3?
6
FWhat is 9 take away 1?
7
FCheck: 4 + 3 = 7. So 7 − 3 = __. What is the missing number?
8
FCheck: 2 + 5 = 7. So 7 − 2 = __. What is the missing number?
9
PSThere are 9 fish in a tank. 4 swim away. How many fish are left?
10
PSLee has 6 pencils. He breaks 1 and throws it away. How many pencils are left?
11
PSMia has 10 balloons. 6 float away. How many balloons are left?
12
RElla has 8 apples. She eats some and has 3 left. How many did she eat? Explain how you worked it out.

Chapter summary

SkillMethod
Take awayCross out the ones taken away, then count what is left.
Count backStart at the number you have and count down one at a time.
Minus signThe sign − means take away: 5 − 2 = 3.
Missing numberCount back from the start to what is left. The steps are the missing number.
CheckAdd the number taken away back on. You should get the start number.

Can you…?

  • I can take away from a group and count what is left
  • I can count back to take away on a number track
  • I can write a number sentence with the minus sign and the equals sign
  • I can find the missing number when some are taken away
  • I can check my answer by adding back

Key terms

take away
remove some things from a group
count back
go down, one number at a time
minus sign
the sign − that means take away
left
what is still there after some are taken away
check
use the opposite sum to see if an answer is right

Exercise 6Z  Check-up

Non-calculator
1
6 apples. 2 are taken away. How many are left?
2
What is 9 take away 2?
3
Write the number sentence: 8 take away 3 is 5.
4
Fill in the answer: 10 − 4 = __
5
Fill in the missing number: 7 − __ = 5
6
Count back from 10 to 7. Write the numbers.
7
What does the minus sign mean?
8
Check: 3 + 6 = 9. What is 9 − 6?
9
Ben has 8 stickers. He gives away 5. How many does he have left?
10
Explain how you can check 10 − 3 = 7 by adding.

Total 22 marks. Allow about 22 minutes.

Exercise 6X  Practice test questions

Non-calculator
1
F7 cubes. 2 are taken away. How many are left?[1 mark]
2
FWrite the number sentence: 6 take away 1 is 5.[1 mark]
3
FFill in the missing number: 10 − __ = 6[2 marks]
4
FCheck: 5 + 2 = 7. So 7 − 5 = __. What is the missing number?[2 marks]
5
PSMia has 9 stickers. 4 are lost. How many are left? Write a number sentence.[2 marks]
6
PSRavi has 6 cars. He gives 2 to his friend. How many does he have now?[2 marks]
7
RSam says 8 − 3 = 4. Is he right? Explain how you know.[3 marks]
8
PSElla had 10 pencils. She has 6 left. How many did she give away? Check your answer by adding.[3 marks]
9
RExplain how counting back helps you take away. Give one example.[3 marks]
10
RLily has 5 cubes. 3 are taken away. Explain how you know how many are left.[3 marks]

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