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Primary Maths · Year 1Chapter 2 · Adding and subtracting within 10
Year 1 · Adding and Subtracting within 10 · Lesson 2.5

Year 1: Missing numbers

Part of the Year 1 adding and subtracting within 10 chapter. Chapter overview · whole chapter on one page · Download worksheet (PDF) · Answers (PDF)

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2.5

Missing numbers

Year 1
Missing numbers such as 7 = [ ] − 2, Use the whole and the parts to find a missing number
A park with a missing number to find.

Sometimes a number is missing. We show the missing number with a box: ?.

The sentence 4 + ? = 9 asks: what number do we add to 4 to make 9? Start at 4 and count on until you reach 9. You count 5 steps, so the missing number is 5.

The box can be on the left, in the middle or on the right of the = sign. The sentence must still be true.

012345678910
Start at 4. Count on 5 steps to reach 9.

Key ideas

  • A box means a missing number. Find the number that makes the sentence true.
  • Count on to find a missing number in an addition sentence.
  • Count back to find a missing number in a subtraction sentence.
  • Check your answer by putting it back in the sentence.
Worked example 2.5.1
6 + ? = 10. What number goes in the box?

Key words. A missing number is shown by a box. Find the number that makes the sentence true.

Method. Start at 6. Count on until you reach 10. The number of counts is the missing number.

  1. Start at 6, the number we know. Put your finger on it.
    Start: 6
  2. Count on to 10. Say each number as you count on.
    7, 8, 9, 10
  3. Count how many numbers you said. That many is the missing number.
    4 numbers
  4. Write the missing number.
    4

Check. 6 + 4 = 10. ✓

Watch out. Count the numbers after 6, not 6 itself.

Worked example 2.5.2
? − 2 = 5. What number goes in the box?
0123456?8910

Key words. Adding undoes taking away.

Method. Undo the take away. Put back the number that was taken away.

  1. Look at the answer, 5. The answer is what is left after taking away.
    Answer: 5
  2. Add 2 back on. Adding undoes taking away.
    5 + 2 = 7
  3. Write the missing number.
    7

Check. 7 − 2 = 5. ✓

Watch out. Do not take the number away again. Put it back on instead.

Worked example 2.5.3
8 − ? = 3. What number goes in the box?
01234?678910

Key words. The box is the number we take away.

Method. Start at 8. Count back until you reach 3. The number of steps is the missing number.

  1. Start at 8. That is the number we begin with.
    Start: 8
  2. Count back to 3. Each step back takes one away.
    7, 6, 5, 4, 3
  3. Count how many steps you took. The steps are the number taken away.
    5 steps
  4. Write the missing number.
    5

Check. 8 − 5 = 3. ✓

Watch out. Count the steps back. Do not count the number you start from.

Watch out

Watch out: a box on the left is still a missing number. Check your answer: 6 + 4 = 10 is true.

Exam tip

Grown-up tip. Put 6 counters on the table and ask: “How many more do we need to make 10?” Let your child add the counters one at a time, then write the sentence together.

Exercise 2E  Missing numbers

Non-calculator
1
F2 + ? = 5
01234?678910
2
F? + 3 = 7
0123456?8910
3
F5 − ? = 2
01?345678910
4
F? − 2 = 6
01234567?910
5
F7 = ? − 2
012345678?10
6
FThere are 8 balls. 5 are red. The rest are blue. Write the missing number: 5 + ? = 8
85?
7
FPriya has 6 stars. She gives some away and has 2 left. Write the missing number: 6 − ? = 2
8
PSAli says: ? + 4 = 9, so the missing number is 4. Is he right? Explain how you know.
012345678?10
9
FTrue or false? 4 + 3 = 8
10
FMake the sentence true: 9 − ? = 4
0123?5678910
11
RFind two different missing numbers: ? + ? = 6. Explain your answer.

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