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Basketball Maths

Maths in basketball: two-pointers and three-pointers

Count baskets worth 2 and 3 points.

Quick answer

Maths in basketball: two-pointers and three-pointers helps you count how many points you score when you make baskets. A two-pointer is worth 2 points and a three-pointer is worth 3 points. You can add these together to find your total score.

Learning outcome

By the end of this page, you will be able to count and add up points from two-pointers and three-pointers in basketball. Success signs:
  • You can tell the difference between a two-pointer and a three-pointer
  • You can count how many points you score from each type of basket
  • You can add up all your points to find your total score
  • You can solve simple problems about basketball scoring

Why this matters

Basketball is a fun game that uses maths every single time you score. When you make a basket, you get points. The number of points depends on where the basket is. If you score from near the basket, it's worth 2 points. If you score from further away, it's worth 3 points. Knowing how to count these points helps you understand the game better and can even help you win games. You use maths when you play basketball, and it's useful for other things too – like counting your pocket money or sharing snacks with friends.

How it works

Basketball scoring is simple:
  1. When you make a basket from close to the basket, it’s worth 2 points. We call this a two-pointer.
  2. When you make a basket from further away, it’s worth 3 points. We call this a three-pointer.
  3. To find your total points, you add up all your two-pointers and three-pointers.
Let’s imagine you are playing basketball. You make 3 two-pointers and 2 three-pointers. First, count your two-pointers: 3 baskets × 2 points = 6 points. Then count your three-pointers: 2 baskets × 3 points = 6 points. Now add them together: 6 + 6 = 12 points.

Examples you can see

Let’s look at some real examples of basketball scoring: Example 1: The Game Sarah is playing basketball with her friends. She scores:
  • 4 two-pointers
  • 1 three-pointer
How many points does she score in total? First, count the two-pointers: 4 × 2 = 8 points Then, count the three-pointer: 1 × 3 = 3 points Total points: 8 + 3 = 11 points Example 2: The Team In a basketball game, the team scores:
  • 6 two-pointers
  • 3 three-pointers
How many points does the team score? First, count the two-pointers: 6 × 2 = 12 points Then, count the three-pointers: 3 × 3 = 9 points Total points: 12 + 9 = 21 points Example 3: The Practice Tommy is practicing his shots. He makes:
  • 5 two-pointers
  • 4 three-pointers
How many points does he score? First, count the two-pointers: 5 × 2 = 10 points Then, count the three-pointers: 4 × 3 = 12 points Total points: 10 + 12 = 22 points

Try it as a mini adventure

Adventure: The Basketball Challenge You are a basketball star and you are going to play a special game. You get to choose how many two-pointers and three-pointers you want to make. Let’s say you decide to make:
  • 3 two-pointers
  • 2 three-pointers
How many points do you score? Let’s count together:
  1. First, you make 3 two-pointers: 3 × 2 = 6 points
  2. Then, you make 2 three-pointers: 2 × 3 = 6 points
  3. Add them together: 6 + 6 = 12 points
Great job! You scored 12 points. Try this challenge again with different numbers. How many points can you score if you make 5 two-pointers and 1 three-pointer?

Common mistakes

  • Mistake: Thinking that 2 + 3 = 5 points for one basket. Why it happens: Confusing the point values of two-pointers and three-pointers. Fix: Remember that each two-pointer is worth 2 points, and each three-pointer is worth 3 points. Add them separately, not together.
  • Mistake: Mixing up the numbers when multiplying. Why it happens: Not knowing the multiplication facts well. Fix: Practice your times tables. You can count by 2s and 3s to help you.
  • Mistake: Forgetting to add the two-pointers and three-pointers together. Why it happens: Getting excited about scoring and losing focus. Fix: Always double-check your addition at the end. Write down each step.

Parent and carer guide

Parents and carers can help by:
  • Playing a pretend basketball game with their child and asking them to count points
  • Using everyday situations to practice: "If you scored 3 two-pointers and 2 three-pointers, how many points did you get?"
  • Practicing multiplication facts for 2s and 3s
  • Encouraging children to write down their steps so they don’t forget to add
  • Making it fun with a score board or small reward for correct answers
At home, you can:
  • Draw a basketball court and have your child place baskets with different point values
  • Use toys or blocks to represent baskets and count points
  • Play a game where you call out baskets and your child adds the points

Practice questions

  1. How many points do you score if you make 4 two-pointers and 2 three-pointers?
  2. If you score 3 two-pointers and 1 three-pointer, how many points is that?
  3. Tom makes 5 two-pointers and 3 three-pointers. How many points does he score?
  4. Jessica scores 2 two-pointers and 4 three-pointers. What is her total?
  5. A team makes 6 two-pointers and 3 three-pointers. What is their total score?
Answers:
  1. 4 × 2 = 8 points from two-pointers, 2 × 3 = 6 points from three-pointers. Total = 14 points
  2. 3 × 2 = 6 points from two-pointers, 1 × 3 = 3 points from three-pointer. Total = 9 points
  3. 5 × 2 = 10 points from two-pointers, 3 × 3 = 9 points from three-pointers. Total = 19 points
  4. 2 × 2 = 4 points from two-pointers, 4 × 3 = 12 points from three-pointers. Total = 16 points
  5. 6 × 2 = 12 points from two-pointers, 3 × 3 = 9 points from three-pointers. Total = 21 points

FAQ

How many points is a two-pointer worth?

A two-pointer is worth 2 points.

How many points is a three-pointer worth?

A three-pointer is worth 3 points.

Can I score more than 3 points in basketball?

Yes, you can score 1 point for a free throw, 2 points for a two-pointer, and 3 points for a three-pointer.

What if I make 2 two-pointers and 3 three-pointers?

You score 2 × 2 = 4 points from two-pointers and 3 × 3 = 9 points from three-pointers. Total = 13 points.

How can I practice basketball maths at home?

You can play pretend games, use toys or blocks to count baskets, or ask questions like "How many points would you get if you scored 4 two-pointers and 1 three-pointer?"