X Tables
Problem Solving

Always sometimes never questions

Encourage reasoning with statements that may or may not be true.

Quick answer

Always sometimes never questions ask you to decide if a statement is always true, sometimes true, or never true. You need to think carefully and test your ideas to find the right answer.

Learning outcome

By the end of this page, you will be able to look at a maths statement and decide if it is always true, sometimes true, or never true. You will use examples and reasoning to find the answer. Success signs:
  • You can test a statement with different examples
  • You can explain why a statement is always, sometimes, or never true
  • You can find at least one example that shows a statement is true or false
  • You can use words like always, sometimes, and never to describe your answer

Why this matters

Always sometimes never questions help you think more deeply about maths. They are used in tests, puzzles, and real life. When you solve these questions, you learn to think carefully and check your work. These skills help you in school and in everyday life when you need to make decisions.

How it works

To answer always sometimes never questions, follow these steps:
  1. Read the statement carefully
  2. Think of examples that make the statement true
  3. Think of examples that make the statement false
  4. Decide if it is always true, sometimes true, or never true

Examples you can see

Let’s look at some examples to understand how this works. Example 1: "A square has four sides."
  • This is always true. All squares have four sides.
Example 2: "A triangle has three sides."
  • This is always true. All triangles have three sides.
Example 3: "A rectangle has four sides."
  • This is always true. All rectangles have four sides.
Example 4: "A circle has four sides."
  • This is never true. Circles have no sides.
Example 5: "A shape with four sides is a square."
  • This is sometimes true. Squares have four sides, but rectangles and rhombuses also have four sides.
Example 6: "A number is greater than 0."
  • This is sometimes true. Positive numbers are greater than 0, but negative numbers are less than 0.
Example 7: "A triangle has four sides."
  • This is never true. Triangles always have three sides.

Try it as a mini adventure

Adventure: The Mystery of the Magic Statements You are a detective in a maths mystery land. You have a magic box with statements. You must decide if each statement is always true, sometimes true, or never true. Statement 1: "A bird can fly."
  • Some birds can fly, but some cannot. Like penguins and ostriches. So, this is sometimes true.
Statement 2: "A fish lives in water."
  • All fish live in water. This is always true.
Statement 3: "A dog has four legs."
  • Most dogs have four legs, but some dogs might have fewer due to injury or birth. This is sometimes true.
Statement 4: "A car has no wheels."
  • Cars always have wheels. This is never true.
Statement 5: "A number is less than 10."
  • This is sometimes true. Numbers like 5 are less than 10, but numbers like 15 are not.

Common mistakes

  • Mistake: Thinking that a statement is always true just because it is true in one example.
    • Why it happens: Children might see one example and assume it's always true.
    • Fix: Try more examples to see if it works every time.
  • Mistake: Not checking if a statement can be false.
    • Why it happens: Children might only think of examples that make it true.
    • Fix: Think of examples that might make the statement false.
  • Mistake: Using words like "usually" or "often" instead of "always", "sometimes", or "never".
    • Why it happens: These words are not precise for maths.
    • Fix: Use the exact words: always, sometimes, or never.

Parent and carer guide

As a parent or carer, you can help your child by:
  • Asking questions like: "Can you think of an example where this is true?" or "Can you think of an example where this is false?"
  • Using everyday objects to test statements, like toys, food, or books.
  • Encouraging your child to explain their thinking clearly.
  • Not worrying if they make mistakes – that's how they learn!
  • Practising with simple statements together, like "A triangle has three sides" or "A square has four sides."

Practice questions

  1. Is it always, sometimes, or never true that a circle has four sides? Answer: Never
  2. Is it always, sometimes, or never true that a number is greater than 0? Answer: Sometimes
  3. Is it always, sometimes, or never true that a rectangle has four sides? Answer: Always
  4. Is it always, sometimes, or never true that a bird can fly? Answer: Sometimes
  5. Is it always, sometimes, or never true that a triangle has three sides? Answer: Always
  6. Is it always, sometimes, or never true that a shape with four sides is a square? Answer: Sometimes
  7. Is it always, sometimes, or never true that a fish lives in water? Answer: Always
  8. Is it always, sometimes, or never true that a dog has four legs? Answer: Sometimes
  9. Is it always, sometimes, or never true that a car has no wheels? Answer: Never
  10. Is it always, sometimes, or never true that a number is less than 10? Answer: Sometimes

FAQ

What are always sometimes never questions?

Always sometimes never questions are maths statements where you have to decide if the statement is always true, sometimes true, or never true.

How do I know if a statement is always true?

If the statement is true in every situation, then it is always true. Try many examples to check.

How do I know if a statement is sometimes true?

If the statement is true in some situations but not in others, it is sometimes true. Find examples that make it true and examples that make it false.

How do I know if a statement is never true?

If the statement is false in every situation, then it is never true. Look for examples that show it is always false.

Why do we learn always sometimes never questions?

These questions help you think carefully and reason about maths. They are useful for tests and everyday life.