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Tennis Maths

Tennis angles of shots maths challenge

A child-friendly sports challenge using angles of shots to practise angles with real examples.

Quick answer

You can use angles to describe where tennis shots go and how they bounce! By learning about angles, you can understand how tennis players hit the ball to make it go in different directions, and how to measure those directions using a protractor.

Learning outcome

By the end of this page, you will be able to describe and measure different angles of tennis shots using real-life examples and tools. Success signs:
  • You can identify when a tennis shot goes at a sharp angle (like 90°) or a wide angle (like 180°).
  • You can use a protractor to measure tennis shot angles.
  • You can explain how angles affect where the ball goes.
  • You can imagine how a tennis ball bounces off the court at different angles.

Why this matters

Angles are used in tennis to help players aim their shots and make the ball go where they want. When you understand angles, you can:
  • Help a tennis player plan their next shot
  • Guess where a ball will go before it bounces
  • Improve your own tennis game by thinking about direction
  • Learn how to measure and describe angles in real sports
Even outside tennis, angles help you in everyday life – like when you're walking to school, playing with a ball, or building with blocks.

How it works

Tennis shots are described by the angle they travel. Angles are measured in degrees (°), like a circle cut into 360 parts. When you watch tennis, you can think about:
  1. How the ball comes off the racket
  2. How it bounces on the court
  3. How it travels to the other side
You can measure these angles with a protractor or imagine them using a simple way:
  • 0° = straight ahead
  • 90° = to the side (like a right angle)
  • 180° = straight back
  • 360° = a full circle

Examples you can see

Let’s imagine you’re playing tennis. Here are some shots and their angles:
Shot Type Angle What it looks like
Forehand 90° The ball goes to the side, like a right angle
Serve 180° The ball goes straight back to the other side
Backhand 45° The ball goes diagonally across the court
Volley 0° The ball goes straight ahead
You can draw these angles on paper or even act them out with a ball and a protractor. For example, if you hold a ball in front of you and throw it straight ahead, that’s 0°. If you throw it to the side, that’s 90°.

Try it as a mini adventure

Adventure: The Tennis Angle Challenge! You are a tennis coach helping a young player improve their game. You have a tennis court and a ball. Your challenge is to help the player hit shots at different angles and measure them.
  1. First time: Hit the ball straight ahead (0°)
  2. Second time: Hit the ball to the side (90°)
  3. Third time: Hit the ball diagonally (45°)
  4. Fourth time: Hit the ball back (180°)
  5. Fifth time: Measure each shot with a protractor
Draw a tennis court on paper. Mark where the ball goes for each shot. Then, use a protractor to measure and label each angle. Can you guess which shot went the farthest? Why?

Common mistakes

  • Mistake: Thinking 90° is a straight line.
    Why it happens: Confusing right angles with straight lines.
    Fix: Remember that 90° is like a corner of a square, not a straight line.
  • Mistake: Measuring angles from the wrong side.
    Why it happens: Not knowing where to place the protractor.
    Fix: Always line up one side of the angle with the baseline of the protractor.
  • Mistake: Mixing up 0° and 180°.
    Why it happens: Both look like straight lines.
    Fix: Remember 0° is forward, 180° is backward.

Parent and carer guide

Parents and carers can help by:
  • Using a protractor to measure angles while watching tennis or playing at home
  • Encouraging children to describe how a ball moves in different directions
  • Creating a simple tennis court at home with tape or paper to practice angles
  • Using real tennis balls to act out shots and angles
  • Practicing with a protractor on different objects like books, doors, or toys
If your child gets confused, remind them that:
  • 0° = straight ahead
  • 90° = to the side
  • 180° = straight back
Keep it fun – don’t make it feel like a test. Ask questions like:
  • “Where do you think the ball will go?”
  • “Can you show me 90° with your hands?”
  • “How can we measure that angle?”

Practice questions

  1. What angle does a ball go if it travels straight ahead?
  2. What angle does a ball go if it travels straight back?
  3. What angle does a ball go if it travels to the side?
  4. If you throw a ball at 45°, where does it go?
  5. What angle is a full circle?
Answers:
  1. 0°
  2. 180°
  3. 90°
  4. Diagonally across the court
  5. 360°

FAQ

What is an angle in tennis?

An angle in tennis is the direction a ball travels after it hits the racket. It can be measured in degrees (°).

How do I measure angles with a protractor?

Place the protractor's centre on the point where the ball starts, line up one side of the angle with the baseline, and read the number on the edge where the other side meets the protractor.

Why do tennis players use angles?

Players use angles to make the ball go where they want. It helps them hit the ball past their opponent or into the corners of the court.

Can I practice angles outside of tennis?

Yes! You can practice angles with any ball, by throwing it in different directions, or even with your hands or toys.

How can I remember what 90° and 180° look like?

Think of 90° like a corner of a square (a right angle), and 180° like a straight line that goes back the way you came.