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Primary Mathematics: How to Score in Bar Model Questions

Updated June 13, 2026Primary
Tutorly.sg editorial team
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Quick answer

Running out of time on PSLE bar model questions can be stressful. To score well, you need to learn how to break the problem into smaller steps and avoid common mistakes. Once you understand the process, you can tackle these questions more confidently and efficiently.

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What you need to know

Bar models are a way to solve math problems by drawing pictures. They help you see the problem clearly, so you know what to do. With practice, they become a powerful tool for solving tricky questions in exams.

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Understanding Bar Models

Bar models are a visual way to represent math problems. They use bars to show relationships between numbers, making abstract ideas easier to understand. This technique is especially helpful for Primary 3–6 students who often struggle to visualize math problems.

Why Use Bar Models?

Parents are often surprised that bar models can simplify complicated problems. When children draw the problem out, they can see the solution more clearly. This method is not just for exams; it's a skill that helps in everyday problem-solving.

Common mistakes students make

1. Not Drawing the Bar Model Properly

Many students skip drawing a neat model, thinking they can solve it mentally. However, a messy or incorrect model leads to mistakes.

Fix: Always draw a clear and accurate bar model. Start with the known values and then add the unknowns.

2. Misunderstanding Relationships

Students often mix up the parts of the model, leading to incorrect answers.

Fix: Check the relationships in your model. Are the parts and wholes correctly labeled? If not, adjust before solving.

3. Rushing Through the Problem

In a hurry to finish, students may overlook important details in the question.

Fix: Slow down and read the question carefully. Breathe first, then start drawing.

Exam tip

During exams, time management is crucial. Spend the first few minutes reading through the paper. Identify the questions that are easier for you. Start with those to build confidence. For bar model questions, allocate enough time to draw and review your models.

Worked examples

Question

A box has 45 red balls and blue balls. There are 15 more red balls than blue balls. How many blue balls are there?

Solution

Step 1: Draw a bar for the blue balls and label it.
Why: This helps you visualize the number of blue balls.

Step 2: Draw another bar for the red balls. Make it 15 units longer than the blue bar.
Why: The problem states there are 15 more red balls, so this difference must be clear in your model.

Step 3: Add the two bars together. They should equal 45.
Why: The total number of balls is 45, so this confirms your drawing is correct.

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Step 4: Solve the equation: Blue + (Blue + 15) = 45.
Why: This equation represents the total from your model.

Step 5: Simplify to find: 2 Blue + 15 = 45.
Why: Combine the blue parts to make solving easier.

Step 6: Subtract 15 from both sides: 2 Blue = 30.
Why: Isolate the variable to find the number of blue balls.

Step 7: Divide by 2: Blue = 15.
Why: This gives you the number of blue balls.

Quick summary

  • Bar models help you see math problems clearly.
  • Draw clearly to avoid mistakes.
  • Check relationships in your model.
  • Manage time during exams.
  • Practise regularly to build confidence.

FAQ

1. How do I know if I've drawn the bar model correctly?
Check if all parts add up to the total given in the problem. If they match, your model is likely correct.

2. Why are bar models important for exams?
They simplify complex problems, helping you solve them accurately and quickly.

3. What if I panic during the exam?
Take a deep breath and start with the questions you find easiest. Build confidence as you go.

4. Can I use bar models for all math problems?
They are best for problems involving relationships and comparisons, like addition, subtraction, and fractions.

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Practise with step-by-step help — free to start

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  • ✓ PSLE, O Level, A Level, and more
  • ✓ Step-by-step working when you are stuck
  • ✓ Works on phone and laptop
Start practising on Tutorly.sg/app →

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