Use efficient division strategies to solve problems | Maths

Starter quiz

Identify the multiples of 4.
- 4 ✓
- 12 ✓
- 25
- 28 ✓
- 32 ✓
4 hundreds can be regrouped for ______ tens.
- 400
- 40 ✓
- 4
Your divisor is 4, which numbers will result in regrouping?
- A
- B ✓
- C ✓
Choose the correct short division for this equation: 633 ÷ 8.
If the partial quotient written above the 100s digit is a 0 then the divisor is __________ than the 100s digit in the dividend.
- less than
- greater than ✓
Look at the short division, what is the missing number? Write your answer in numeral form.
- '7' ✓

Identify the number which is not a multiple of 11.
- 11
- 22
- 33
- 34 ✓
- 132
Look at the diagram, choose the correct division equation which the image could represent.
- 1 ÷ 2
- 2 ÷ 2 ✓
- 2 ÷ 1
- 4 ÷ 2
Look at the diagram, choose the correct division equation.
- 8 ÷ 0
- 8 ÷ 1 ✓
- 8 ÷ 8
- 8 ÷ 4
Use a mental strategy to solve: 516 ÷ 5 = ______ Write your answer in numeral form using r if there is a remainder.
- '103 r 1' ✓
Choose an efficient strategy to solve: 638 ÷ 9 = ______ Write your answer in numeral form using r if there is a remainder.
- '70 r 8' ✓
Choose an efficient strategy to solve this word problem: 841 cookies are packed in boxes of 6. How many boxes are needed to pack all of the cookies?
- '141' ✓

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Look at the dividend and divisor to decide which strategy is most effective and explain why.
Use partitioning if the dividend can be partitioned into multiples of the divisor.
Use short division if the dividend cannot be partitioned into multiples of the divisor.

Pupils may always choose short division to solve division equations.

Encourage pupils to think about other strategies that they know. Ask questions such as 'Is this the most efficient method?'

Short division - Is a formal method of division often used when dividing any number by a one digit number.
Partition - Partition means splitting a number into smaller parts.