Starter quiz
- Complete the sentence. If the dividend in a calculation is not a multiple of the divisor,
- there will be a remainder. ✓
- there will not be a remainder.
-
- Which of the following will not have a remainder?
- 56 ÷ 9
- 56 ÷ 8 ✓
- 56 ÷ 7 ✓
- 56 ÷ 6
-
- Which of these numbers will have a remainder when the divisor is 8?
- 36 ✓
- 48
- 43 ✓
- 78 ✓
- 72
-
- 58 books are sorted onto 9 shelves in the classroom. Are there any books left over?
- Yes, because 58 is not a multiple of 9 ✓
- No, there are no books left over
-
- We know that multiples of 6 are even and have a digit sum that is divisible by 3 Which of these numbers will have a remainder when divided by 6?
- 51 ✓
- 72
- 77 ✓
- 84
- 92 ✓
-
- We know that multiples of 4 must be even and, if halved, will reach an even number. Which of these numbers will have a remainder when divided by 4?
- 84
- 95 ✓
- 94 ✓
- 96
-
Exit quiz
- Pencils are put into pots of 7 Which of the total number of pencils won’t divide equally into pots of 7?
- 28
- 32 ✓
- 35
- 38 ✓
- 42
-
- When dividing 21 into equal groups, which group size will give a remainder?
- groups of 3
- groups of 4 ✓
- groups of 5 ✓
- groups of 6 ✓
- groups of 7
-
- Which of these equations is incorrect?
- 57 ÷ 8 = 7 r 1
- 57 ÷ 6 = 8 r 9 ✓
- 57 ÷ 9 = 6 r 3
-
- Jun has fewer that 40 counters. When divided into groups of 7 there are no remainders and when divided into groups of 5 there are no remainders. How many counters must Jun have? ______
- '35' ✓
Look at the image.- 2
- 3
- 4 ✓
- 5 ✓
- 6 ✓
-
Look at the image.- '33' ✓
Worksheet
Presentation
Video
Lesson Details
Key learning points
- If the dividend is a multiple of the divisor, there will be no remainder.
- If the remainder is greater than the divisor, another equal group can be made.
- If the remainder is known, the possibilities for a missing divisor can be found.
- If the divisor is known, the possibilities for a missing remainder can be found.
- This knowledge can help when solving missing number equations.
Common misconception
Children may either choose to use a multiple higher than the dividend, e.g. 53 ÷ 9 = , or choose a multiple that is too low, e.g. 57 ÷ 8 = , which results in a remainder greater than the divisor.
When solving equations, refer back to the largest multiple that is less than or equal to the dividend and use number lines to allow children to visualise this.
Keywords
Dividend - The dividend is the whole amount to be divided into groups or divided into equal parts. It is what we are dividing.
Divisor - The divisor is the number in each group or the number of equal parts that the whole is divided into or between. It is what we are dividing by.
Remainder - A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.