Use patterns of odd and even numbers in the times tables to solve problems | Maths

Starter quiz

In a multiplication equation, if one factor is odd and one factor is even, the product will be ______.
- 'even' ✓
Which expressions will give an odd product?
- 9 × 6
- 7 × 5 ✓
- 5 × 11 ✓
- 6 × 10
- 7 × 9 ✓
How can we find the product of 35?
- Multiply two even factors together.
- Multiply two odd factors together. ✓
- Multiply an odd factor and an even factor together.
Which of these times tables has all even products?
- 10 times table ✓
- 5 times table
- 7 times table
- 8 times table ✓
- 12 times table ✓
Which of these times tables have a pattern that results in the products alternating between odd and even?
- 6 times table
- 7 times table ✓
- 9 times table ✓
- 11 times table ✓
- 12 times table
True or false. The products in the 8 times tables will always be even.
- True ✓
- False

Which of these expressions will result in an odd product?
- 35 × 5 ✓
- 27 × 8
- 10 × 22
- 21 × 7 ✓
- 15 × 9 ✓
Without calculating, will this equation produce an odd or even product? 23 × 6 =
- odd
- even ✓
When two odd factors are multiplied together, the product is ______.
- 'odd' ✓
Sofia thinks of a 2-digit number multiplied by a 1 digit number. Her product is even. What could the expression be?
- 7 × 13
- 8 × 15 ✓
- 9 × 21
- 10 × 18
True or false. All products with 52 as one factor will be even.
- True ✓
- False
Jacob says, “When I multiply an odd factor by an ______ factor, the product will be even.” Complete the missing word.
- odd
- even ✓

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Pupils may not understand how to use patterns of odd and even numbers to make problem-solving easier.

Show that recognising these patterns can help predict results and verify answers (e.g., an even × odd = even).

Odd - An odd number is any whole number that cannot be divided exactly by 2 The ones digit is 1, 3, 5, 7 or 9
Even - Any whole number that can be divided exactly by 2 is an even number. The ones digit is 0, 2, 4, 6 or 8