1. The Royal Cooking Lesson I am learning to solve division problems by changing them to simpler problems that have the same answer.

2. 15 people want to eat at restaurant ‘A’. There are 3 tables. How many people (blue dots) must be seated around each table (blue rectangle)? 30 people want to eat at restaurant ‘B’. There are 6 tables. How many people (blue dots) must be seated around each table (blue rectangle)? 30 ÷ 6 = 5 15 ÷ 3 = 5 Did you spot the pattern? If you have twice as many people and twice as many tables then the amount of people you put around each table doesn’t change. 15 ÷ 3 = 5 30 ÷ 6 = 5 X2 (twice as many people) X2 (twice as many tables) Answer doesn’t change

3. A small café normally serves 10 people at morning tea at 5 different tables. On the weekends they serve 30 people at morning tea at 15 different tables. Weekday Weekend 10 ÷ 5 = 2 30 ÷ 15 = 2 Did you notice that three times more people are served on the weekend but there are also three times as many seats so they still seat the same amount of people at each table. 10 ÷ 5 = 2 30 ÷ 15 = 2 X3 (three times as many people) X3 (three times as many tables) Answer doesn’t change

4. We can use this strategy to answer some quite difficult questions. E.g 128 ÷ 32 = 32 ÷ 8 = 4 64 ÷ 16 = ? 128 ÷ 32 = ? I notice that the numbers are even so I can divide by 2 to make the problem easier to answer. ÷2 This is still too hard for me to answer so I can try dividing by 2 again. ÷2 I know the answer to this question is 4 so the answer to 128 ÷ 32 = 4 If I was really smart I could have done this in one step by dividing both 128 and 32 by 4. ÷4

5. The questions on the left have a buddy question to the right. Work out which questions go together and how the question on the right helps you answer it’s buddy question to the left. 1)135 ÷ 27 = ? 2)81 ÷ 9 = ? 3) 84 ÷ 12 = ? 4) 144 ÷ 16 = ? Click again when you have worked out which questions go together. 45 ÷ 9 = 5 27 ÷ 3 = 9 42 ÷ 6 = 7 72 ÷ 8 = 9 5 9 7 9

6. Now try these questions on your own. 1) 112 ÷ 16 = ? 2) 98 ÷ 14 = ? 3) 75 ÷ 15 = ? 4) 72 ÷ 12 = ? 5) 96 ÷ 32 = ? Click again when you have worked out all your answers. 56 ÷ 8 = 7 So 112 ÷ 16 = 7 49 ÷ 7 = 7 So 98 ÷ 14 = 7 25 ÷ 5 = 5 So 75 ÷ 15 = 5 36 ÷ 6 = 6 So 72 ÷ 12 = 6 24 ÷ 8 = 3 So 96 ÷ 32 = 3 Need some more practise? Try Pg37 & 38 of Teacher Tools Multiplication and Division Book Numeracy resourcesNumeracy resources