IMO Practice Test: Symmetry | Class 1 Mathematics

Question 1 of 6

Sam draws half of a star next to a straight vertical line of symmetry. The half-star has 5 sharp points. When he finishes drawing the mirror image on the other side, how many total points will the complete star have?

5 points

10 points

8 points

6 points

Explanation: The mirror image will also have 5 points. Total points = 5 + 5 = 10.

Question 2 of 6

A paper rectangle is folded in half once from left to right, and then folded in half again from top to bottom. When unfolded, how many crossing line creases are formed in total?

1 crease

2 creases

3 creases

4 creases

Explanation: The first fold makes 1 vertical crease, and the second makes 1 horizontal crease (1+1=2).

Question 3 of 6

Look at the word **"BOB"**. If you draw a horizontal line right through the middle of all three letters, which statement is true?

Only B matches

Only O matches

The whole word matches

Nothing matches

Explanation: The letters B and O are horizontally symmetrical, so the whole word reflects top-to-bottom.

Question 4 of 6

Tina has a paper triangle with 3 equal sides. She folds it along every possible line of symmetry she can find. How many unique creases can she make?

1 crease

2 creases

3 creases

4 creases

Explanation: A triangle with all equal sides (equilateral) has exactly 3 lines of symmetry.

Question 5 of 6

A magical symmetrical rug has a line of symmetry down the middle. The left side has 2 blue circles and 4 red stars. What is the total number of shapes on the entire rug?

6 shapes

8 shapes

12 shapes

10 shapes

Explanation: Left side has 2 + 4 = 6 shapes. Right side must have 6 shapes. Total = 6 + 6 = 12.

Question 6 of 6

Which of these shapes can NEVER have a line of symmetry no matter how you turn it or draw lines through it?

A long rectangle

A perfect square

A staircase shape

A classic star

Explanation: A staircase shape is irregular and stepped, making matching halves impossible.

IMO Practice Test — Symmetry