Mini Minds Hub · Free printable
Symmetry Safari Quiz: Free Printable Quiz for Year 4
- ForYear 4
- StageKey Stage 2
- CostFree
- FormatPrintable PDF
Symmetry Safari Quiz is a free printable maths quiz for Year 4 (ages 8 to 9). Children go on a shape safari and decide how many lines of symmetry each shape has. Every question is multiple choice with three answers. It needs only a pencil and some scrap paper, and page 2 gives the grown-up notes, help, a stretch idea and the answers.
It comes from the Mini Minds Hub, the free library of printables from Jaques of London, the British games and toy company that has been making games for families since 1795. Print both pages, give page 1 to your child and keep page 2 for yourself. Black and white printing works well.
What is on the sheet
Children meet a mix of flat shapes and one capital letter, including a square, a rectangle, an equilateral triangle, a regular hexagon, the letter H and a kite. For each one they choose from three answers. Folding paper copies lets them test their thinking before they commit, so the quiz becomes a small investigation.
- How many lines of symmetry does a square have?
- How many lines of symmetry does a rectangle (not a square) have?
- How many lines of symmetry does an equilateral triangle have?
- How many lines of symmetry does a regular hexagon have?
- How many lines of symmetry does the capital letter H have?
- How many lines of symmetry does a kite shape have?
Worked example: a regular pentagon
How many lines of symmetry does a regular pentagon have?
A regular pentagon has five equal sides and five equal angles. It is not one of the shapes on the sheet. It shows two ways to test a shape.
Method 1: fold it- Cut out a regular pentagon from paper.
- Pick one corner. Fold along a line that runs from that corner to the middle of the opposite side.
- Check the edges. The two halves should lie exactly on top of each other. If they do, the fold is a line of symmetry.
- Open it out and draw along the fold. Repeat from each of the other corners.
- Count the different fold lines.
- Stand a small mirror upright on the pentagon, along a line from one corner to the middle of the opposite side.
- Look at the half you can see and its reflection. If together they look like the whole pentagon, the line works.
- Move the mirror to the next corner and test again.
- Count the lines that work.
Make a symmetry kit
Paper shapes
Cut out a few shapes from scrap paper, such as a square, a rectangle and a triangle. Draw them neatly first so the sides are straight. Use them to test each answer on the sheet.
Fold and mark
After each successful fold, open the shape and draw along the crease with a coloured pencil. Use a different colour for each line so nothing is counted twice.
Mirror check
Use a small flat mirror, with an adult's help to choose a safe one with smooth edges. Stand it on a line and see whether the reflection completes the shape.
Butterfly painting
Fold a sheet of paper in half, open it, and put dots of paint on one side. Fold it shut and press. The print shows a mirror image. Wash hands afterwards.
What is a line of symmetry?
A shape has a line of symmetry when you can draw a line through it so that one side is an exact mirror image of the other. If you folded along the line, the two halves would fit exactly on top of each other. This line is also called a mirror line. Some shapes have several lines, some have just one, and some have none at all.
In Year 4, children move from spotting symmetry by eye to testing it with care. They learn that two halves of the same size are not always enough. The halves must match perfectly when reflected. Folding, tracing and using a mirror all help them check an idea, then explain why it works.
Symmetry facts for young explorers
- A line of symmetry is sometimes called a mirror line.
- Butterflies have wings that are very close to mirror images of each other.
- Many capital letters of the alphabet have a line of symmetry, and many do not.
- A line of symmetry can be upright, flat or sloping.
- Human faces look symmetrical, but the two sides are never exactly the same.
Skills and curriculum link
- Lines of symmetry
- 2D shapes
- Visual reasoning
- Testing ideas by folding
- Explaining thinking
Helpful ideas for the grown-up
- Mirror lineA line of symmetry works like a mirror. What is on one side is reflected exactly on the other.
- Fold testFold along the line. If the edges match all the way along, the line is a line of symmetry.
- Equal is not enoughTwo halves can be the same size and still not match when folded. The shape of each half matters.
- DirectionLines of symmetry can be upright, flat or sloping. Encourage children to try all three directions.
Key words
- SymmetryWhen one half of a shape is an exact mirror image of the other half.
- Line of symmetryA line that splits a shape into two matching halves.
- Mirror lineAnother name for a line of symmetry.
- ReflectionThe image you see when a shape is flipped over a mirror line.
- Regular shapeA shape with all sides the same length and all angles the same size.
- VertexA corner of a shape. More than one are called vertices.
How to use it
- Print both pages. Page 1 is for your child. Keep page 2, which has the answers and notes.
- Cut out a few paper shapes to match the ones on the sheet, or let your child draw and cut their own.
- Read each question aloud. Ask your child to guess first, then test the guess by folding.
- Talk about each choice, including the wrong ones. Ask, "How do you know the halves match?"
- Check against page 2. Come back another day to try again. Repeating a familiar sheet builds confidence.
Help, stretch and game ideas
If it feels too hard
Cut out each shape from paper and fold it until both halves match exactly. Mark each fold with a pencil so you do not count it twice. Start with the shapes you know best, then try the harder ones.
To stretch confident children
List five capital letters that have a line of symmetry. Then sort them by direction: upright line, flat line or both. Finally, invent a shape of your own with exactly two lines of symmetry and draw it.
Make it a game
Go on a symmetry hunt around the home. Find five things with a mirror line, such as a book, a spoon or a leaf. Draw each one and mark its line. The player with the most correct lines wins.
Mistakes to watch for
Watch forA child counts a line that cuts the shape into two halves of equal size, but the halves do not match when folded.
Try thisAsk them to fold along the line. If the edges do not meet exactly, it is not a line of symmetry.
Watch forA child only looks for upright lines and misses flat or sloping ones.
Try thisTurn the paper shape round and test again. Lines of symmetry can point in any direction.
Watch forA child counts the same line twice because the shape has been turned.
Try thisDraw each line on the shape as it is found, using a different colour each time.
Talk about it
- Which shape do you think has the most lines of symmetry? Why?
- How can you check without drawing?
- Can a shape have no lines of symmetry? What might it look like?
- Why is a regular shape useful when we look for symmetry?
- Where have you seen symmetry in nature?
- Which answer surprised you, and why?
Take it off the page
Letter detectives
Write the capital alphabet on paper. Test each letter with a fold or a mirror, and sort the letters into those that have a mirror line and those that do not.
Paper butterflies
Fold paper in half, draw half a butterfly along the fold, cut it out and open it. Colour one side, then match the pattern on the other.
Symmetry pictures
Draw a line down a page. Draw half of a house, a tree or a face on one side and ask a grown-up to complete the other half as a mirror image.
Who it is for
Parents
Sit with your child for the first question, then let them lead. Have scrap paper ready for folding. Praise careful checking, not speed. Short bursts work better than one long session.
Teachers
Use it as a starter, a plenary after teaching symmetry, an early finisher task or a table activity. It needs no preparation beyond printing. Page 2 gives support and stretch for mixed ability groups.
Home educators
Pair it with a symmetry hunt around the home or garden, or with art work such as butterfly prints. Reuse it for brothers and sisters, or as revision a few weeks later.
Where symmetry fits in maths
Before this, children have met simple 2D shapes and learnt to name their sides and corners. They have also seen patterns and talked about shapes that look the same on both sides, often through art and play.
After this, children go on to complete symmetric figures, work with reflections and use coordinates to describe where shapes move. Secure knowledge of lines of symmetry gives them a firm base for that work.
Questions parents and teachers ask
- What age is Symmetry Safari Quiz for?
It is written for Year 4, ages 8 to 9, in Key Stage 2. Younger children may enjoy it with a grown-up, and older children can use the stretch idea on page 2.
- What will children practise?
Children practise finding lines of symmetry in 2D shapes. They also use visual reasoning and learn to test an idea by folding paper, which links to the geometry strand on properties of shapes.
- Do children need any equipment?
No. A pencil and some scrap paper are enough. Scissors help for cutting out shapes, and a small mirror is a nice extra. An adult should help choose a safe mirror.
- What if my child finds it hard?
Cut out the shapes from paper and fold them until both halves match exactly. Mark each fold line with a pencil. Take the questions slowly, and come back to the harder ones another day.
- Are the answers included?
Yes. Page 2 has the answers, together with notes on how to use the sheet, help for children who find it hard and a stretch idea. Keep it covered until your child has finished.
- Is it suitable for teachers to use in class?
Yes. Teachers can use it as a starter, a plenary, an early finisher task, homework or a table activity. It needs no preparation beyond printing, and it prints well in black and white.
- Is this a screen free activity?
Yes. It is a screen free printable that needs only paper and a pencil. It works well for quiet time, rainy days, school holidays and home education, and it is free to print again.
Preview the full PDF
Made by Jaques of London, making games for families since 1795. A printable supports classroom learning and does not replace a teacher.