NumberP6 level17 questions in the full course

Prime NumbersSEAG Practice Questions

Understanding that prime numbers have exactly two factors (1 and itself), identifying primes up to 100.

Where your child meets this in real life: Understanding factors, cryptography basics, and number theory puzzles

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 prime numbers into 2 steps, taught in order so each skill builds on the last.

  1. 1

    Definition & Primes to 20

    Understand that prime numbers have exactly two factors (1 and itself), and identify all primes from 2 to 20

  2. 2

    Testing Primes to 100

    Test whether larger two-digit numbers are prime by systematic divisibility checking

Try these SEAG-style questions

Try three free questions from our prime numbers 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

Sean is learning about prime numbers. His teacher asks him to check whether 7 is prime by listing its factors. What are the factors of 7?

Answer choices for question 1
Question 2Standard

Max is arranging 93 chairs into equal rows for the school assembly. He wants to know if 93 is prime, so he notices that 9 + 3 = 12, and 12 is divisible by 3. What can Max conclude?

Answer choices for question 2
Question 3Stretch

Ethan says: 'All prime numbers are odd.' Leah says: 'There is exactly one even prime number.' Who is correct?

Answer choices for question 3

Try the lesson: Definition & Primes to 20

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

Poppy is learning about special numbers. Her teacher asks her to decide whether 11 is a prime number.

Is 11 a prime number? Explain by listing its factors.

11 = ? x ?

Find all the factors
1

Try dividing 11 by each number from 1 upwards

Step 1 of 4

Prefer to read? See every step written out

Poppy is learning about special numbers. Her teacher asks her to decide whether 11 is a prime number.

Is 11 a prime number? Explain by listing its factors.

  1. 1

    Find all the factors

    • Try dividing 11 by each number from 1 upwards
    • 11 divides by 1 and 11 only11 = 1 x 11
  2. 2

    Apply the prime definition

    • Count the factors: 1 and 11
    • Exactly two factors means prime!

11 is a prime number because it has exactly two factors: 1 and 11.

The key insight: Prime means exactly TWO factors - that's why 1 is not prime (only one factor)!

Common mix-up: 1 is a prime number. 1 only has one factor (itself), but primes need exactly two different factors.

Mistakes to watch for

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

  • Thinking 1 is prime (it only has one factor)
  • Thinking all odd numbers are prime
  • Forgetting that 2 is the only even prime

Build these skills first

Struggling with prime numbers? 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 prime numbers 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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