Reception Maths: Finding the missing number
Part of the Reception Maths taking away within 10 chapter. Chapter overview · whole chapter on one page
Finding the missing number
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.
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.
Method. Start at 8. Count back until you reach 5. The number of steps is the missing number.
- Start at 8. That is the number we start with.8
- Count back to 5. Count each step as you go down.7, 6, 5
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 5 + 3 = 8. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 9. Count back until you reach 6. The number of steps is the missing number.
- Start at 9. That is the number we start with.9
- Count back to 6. Count each step as you go down.8, 7, 6
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 6 + 3 = 9. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 7. Count back until you reach 2. The number of steps is the missing number.
- Start at 7. That is the number we start with.7
- Count back to 2. Count each step as you go down.6, 5, 4, 3, 2
- Count the steps. The number of steps is the missing number.5 steps
- 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-calculatorMethod. Start at 7. Count back until you reach 4. The number of steps is the missing number.
- Start at 7. That is the number we start with.7
- Count back to 4. Count each step as you go down.6, 5, 4
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 4 + 3 = 7. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 5. Count back until you reach 2. The number of steps is the missing number.
- Start at 5. That is the number we start with.5
- Count back to 2. Count each step as you go down.4, 3, 2
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 2 + 3 = 5. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 9. Count back until you reach 5. The number of steps is the missing number.
- Start at 9. That is the number we start with.9
- Count back to 5. Count each step as you go down.8, 7, 6, 5
- Count the steps. The number of steps is the missing number.4 steps
- Write the answer. 4
Check. Check: 5 + 4 = 9. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 6. Count back until you reach 6. The number of steps is the missing number.
- Start at 6. That is the number we start with.6
- Count back to 6. Count each step as you go down.no steps
- Count the steps. The number of steps is the missing number.0 steps
- Write the answer. 0
Check. Check: 6 + 0 = 6. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 10. Count back until you reach 7. The number of steps is the missing number.
- Start at 10. That is the number we start with.10
- Count back to 7. Count each step as you go down.9, 8, 7
- Count the steps. The number of steps is the missing number.3 steps
- Write the answer. 3
Check. Check: 7 + 3 = 10. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 8. Count back until you reach 1. The number of steps is the missing number.
- Start at 8. That is the number we start with.8
- Count back to 1. Count each step as you go down.7, 6, 5, 4, 3, 2, 1
- Count the steps. The number of steps is the missing number.7 steps
- Write the answer. 7
Check. Check: 1 + 7 = 8. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 8. Count back until you reach 3. The number of steps is the missing number.
- Start at 8. That is the number we start with.8
- Count back to 3. Count each step as you go down.7, 6, 5, 4, 3
- Count the steps. The number of steps is the missing number.5 steps
- Write the answer. 5
Check. Check: 3 + 5 = 8. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 4. Count back until you reach 0. The number of steps is the missing number.
- Start at 4. That is the number we start with.4
- Count back to 0. Count each step as you go down.3, 2, 1, 0
- Count the steps. The number of steps is the missing number.4 steps
- Write the answer. 4
Check. Check: 0 + 4 = 4. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 10. Count back until you reach 4. The number of steps is the missing number.
- Start at 10. That is the number we start with.10
- Count back to 4. Count each step as you go down.9, 8, 7, 6, 5, 4
- Count the steps. The number of steps is the missing number.6 steps
- Write the answer. 6
Check. Check: 4 + 6 = 10. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 7. Count back until you reach 2. The number of steps is the missing number.
- Start at 7. That is the number we start with.7
- Count back to 2. Count each step as you go down.6, 5, 4, 3, 2
- Count the steps. The number of steps is the missing number.5 steps
- Write the answer. 5
Check. Check: 2 + 5 = 7. ✓
Watch out. Count the steps, not the numbers you say.
Method. Start at 9. Count back until you reach 3. The number of steps is the missing number.
- Start at 9. That is the number we start with.9
- Count back to 3. Count each step as you go down.8, 7, 6, 5, 4, 3
- Count the steps. The number of steps is the missing number.6 steps
- Write the answer. 6
Check. Check: 3 + 6 = 9. ✓
Watch out. Count the steps, not the numbers you say.
Method. Add the number taken away to the answer. You should get the start.
- Look at the answer. The answer is 3.3
- Add the number taken away. Add back the 6 that was taken away.3 + 6
- Check the total. The total is the start number.3 + 6 = 9
- Write the answer. Accept any answer: 3 + 6 = 9, so 9 − 6 = 3 is right.
Check. 9 − 6 = 3, and 3 + 6 = 9. ✓
Watch out. Adding back should give the start number.