NumberP6 level17 questions in the full course

Understand Proportional RelationshipsSEAG Practice Questions

Understand 'for every' relationships and use the value for one to scale quantities. Formal colon-ratio notation is not included.

Where your child meets this in real life: Recipe scaling, understanding that 'double the ingredients = double the output', unit pricing

What your child needs to know

In the SEAG test

Each SEAG paper has 28 maths questions. Questions 29 to 50 are multiple choice with five possible answers, and questions 51 to 56 need a short written answer. With 56 questions in 60 minutes across English and maths, that is about a minute per question.

SEAGReady breaks understand proportional relationships into 2 steps, taught in order so each skill builds on the last.

  1. 1

    Given Value for One

    Scale a quantity when the value for one is given (e.g., 1 car = 4 wheels, so 2 cars = ? wheels)

  2. 2

    Find the Value for One

    Find the value for one when given equal groups (e.g., 3 bags = 12 apples → 1 bag = 4 apples)

Try these SEAG-style questions

Try three free questions from our understand proportional relationships course. They start easy and get harder, so you can see where your child's confidence runs out. If they manage the last one without a hint, this topic is probably secure. If not, the steps above show where to start.

Question 1Confidence builder

Ella is setting tables for a party. Each table needs 4 chairs. If there are 5 tables, how many chairs are needed in total?

Answer choices for question 1
Question 2Standard

At a bakery, 6 cupcakes cost £24. What is the price of 1 cupcake?

Answer choices for question 2
Question 3Stretch

A pet shop has 4 fish tanks in one room and 3 fish tanks in another. Each tank holds 12 fish. How many fish can the shop hold in total?

Answer choices for question 3

Try the lesson: Given Value for One

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Rosie is setting tables for a school dinner. Each table needs 4 chairs.

If there are 3 tables, how many chairs are needed in total?

1 table = 4 chairs, 3 tables = ?

Identify the value for one
1

For every 1 table, there are 4 chairs

Step 1 of 3

Prefer to read? See every step written out

Rosie is setting tables for a school dinner. Each table needs 4 chairs.

If there are 3 tables, how many chairs are needed in total?

  1. 1

    Identify the value for one

    • For every 1 table, there are 4 chairs
  2. 2

    Multiply to scale up

    • We have 3 tables, so multiply 4 by 3
    • Calculate the total chairs needed4 × 3 = 12

Rosie needs 12 chairs for 3 tables.

The key insight: When you know the value for 1, multiply it to find any whole-number amount!

Common mix-up: 3 tables need 4 + 3 = 7 chairs. Don't add - multiply! Each table needs 4 chairs, so 3 tables need 4 × 3.

Mistakes to watch for

These are the misconceptions we see most often in understand proportional relationships, including the ones our practice questions are specifically designed to catch.

  • Using addition instead of multiplication to scale (if 2 cost £4, then 3 cost £5)
  • Not recognising the constant multiplier in proportional relationships
  • Confusing which quantity to multiply/divide

Build these skills first

Struggling with understand proportional relationships? The real gap is often in one of these earlier topics.

More number practice

Sitting the SEAG test this November? Read our last-month revision plan, Paper 1 vs Paper 2 and test day guide.

17 questions on this topic alone

Master understand proportional relationships and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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