Preparing for the Primary School Leaving Examination (PSLE) Math paper?
Here’s the secret: Most questions aren’t random—they follow patterns that come up year after year. That means you don’t need to memorise the whole syllabus—you just need to focus on the types of questions that matter most.
Once you know what to expect, spotting them in the exam becomes way easier (and faster).
In this guide, we’ll break down 7 must-practise PSLE Math question types with examples, tips, and strategies that work.
Let’s make revision smarter—not harder.
1. Whole Numbers
Whole numbers form the foundation of many PSLE Math problems, encompassing operations like addition, subtraction, multiplication, and division. These questions look simple, but one tiny mistake can wreck your answer.
So, before you move on to fractions or algebra, make sure your foundation here is solid.
Sample Question:
Calculate the value of:
24 + (18 – 6) ÷ 3 – 14 × 2
Worked Solution:
- Brackets first: (18 – 6) = 12
- Divide and multiply (left to right):
12 ÷ 3 = 4, and 14 × 2 = 28 - Add and subtract (left to right):
24 + 4 = 28, then 28 – 28 = 0
Tips to Tackle Whole Number Questions:
- Follow the BIDMAS rule: Brackets, Indices, Divide/Multiply (left to right), Add/Subtract (left to right)
- Watch out for sign slips—mixing up subtraction and negative numbers is super common
- If your answer is super clean (like 0), don’t panic—it’s not always a trap, but double-check anyway
2. Fractions
Fractions are an important concept at PSLE Math. You’ll see them in word problems, bar models, and those dreaded “fraction of a set” questions.
If you’re not confident with fractions, now’s the time to fix that.
Sample Question:
Mary spent ⅖ of her money on books and ¼ on a bag. What fraction of her money had she spent altogether?
Worked Solution:
- Find a common denominator:
LCM of 5 and 4 = 20 - Convert the following fractions:
⅖ = 8/20 and ¼ = 5/20 - Add them up:
8/20 + 5/20 = 13/20
Tips to Tackle Fraction Questions:
- Always find the lowest common denominator before adding or subtracting
- Highlight keywords like “fraction spent”, “gave away”, “left”, and “saved”—they hint whether to add or subtract
- Don’t forget: improper fractions and mixed numbers might show up too—be ready to switch between them
3. Patterns
Pattern questions test how well you can recognise a sequence—whether it’s numbers, shapes, or symbols. These questions often look easy at first, but PSLE loves to throw in sneaky twists like two-step changes or alternating patterns.
Once you know how to spot the rule, solving them becomes a matter of extending the logic, not guessing.
Sample Question:
A pattern is made up of dots. How many dots will there be in Figure 6?
- Figure 1: 4 dots
- Figure 2: 7 dots
- Figure 3: 10 dots
Worked Solution:
- Look for the increase:
7 – 4 = 3, 10 – 7 = 3 → consistent jump of +3 - Continue the pattern:
Figure 4 = 13 dots
Figure 5 = 16 dots
Figure 6 = 19 dots
Tips to Tackle Pattern Questions:
- If it’s not a number pattern, draw the figures—visual patterns can have shape growth, flips, or colour changes
- Feeling stuck on a challenging question? Ask: “What’s changing each time?”.
4. Geometry
Geometry questions in PSLE go beyond just memorising formulas—they often test how well you can break down a shape and apply what you know.
Expect to see compound shapes, missing lengths, or questions where part of the diagram is hidden.
Sample Question:
A figure is made up of a square and a rectangle. The square has sides of 5 cm. The rectangle is 5 cm by 3 cm. What is the total area of the figure?
Worked Solution:
- Area of square = s² = 5² = 25 cm²
- Area of rectangle = l × w= 5 × 3 = 15 cm²
- Total area = area of square + area of rectangle = 25 + 15 = 40 cm²
Tips to Tackle Geometry Questions:
- Label all lengths and angles clearly—even if they’re not given, you can work some out
- Remember key formulas:
- Circumference = 2πr
- Area = πr² (Use the value of π stated in the question)
- Don’t mix up area and perimeter—they test that confusion a lot
5. Grouping Concept
Grouping questions is really division-in-disguise. They’re usually wrapped in a word problem where something is split. These questions test your understanding of remainders, equal distribution, and logical thinking about what’s left over or carried forward.
Getting this right is all about reading carefully and checking that your answer fits the context.
Sample Question:
Lisa sold sweets in sets of 3 for $9 and cheese in sets of 2 for $14. She sold 5 more sets of cheese than sets of sweets and earned a total of $997. She also spent $30 total cost on ingredients before the sale.
(a) How many sweets in a set did she sell? (b) How much money did she earn from selling the cheese?
Worked Solution:
- Net earnings: $997 – $30 = $967
- 5 more sets of cheese:5 x $14 = $70
$967 – $70 = $897
- Equal sets of sweets and cheese:
$9 + $14 = $23 - Number of sets:$897 ÷ $23 = 39
(a) sweets: 39 sets
(b) cheese: 39 + 5 = 44 sets
→ 44 × $14 = $616
Tips to Tackle Grouping Questions:
- Look out for keywords like “each”, “every”, “equal number”, “left over”, and “group A and group B”
- If there’s a remainder, don’t ignore it—PSLE loves asking what happens to leftover items
- A quick sketch or table can help you visualise the grouping
6. Data Analysis
Data questions aren’t just about reading numbers—they’re about understanding what those numbers mean. You might get tables, bar graphs, or line graphs showing trends over time, comparisons between two groups, or changes in value.
These questions test your ability to find totals, spot differences, and interpret what’s going on in the data.
Sample Question:
The table shows the number of ice cream cups sold by a café over four days.
(a) On which day was the total revenue from ice cream sales the highest?
(b) What was the difference in revenue between Tuesday and Thursday?
(c) What was the average number of cups sold over the four days?
| Day | Cups Sold | Price Per Cup |
| Monday | 60 |
$3 |
| Tuesday | 80 | $2.50 |
| Wednesday | 90 | $2.50 |
| Thursday | 70 | $3 |
Worked Solution:
- Revenue Calculations:
- Monday: 60 × 3 = $180
- Tuesday: 80 × 2.50 = $200
- Wednesday: 90 × 2.50 = $225
- Thursday: 70 × 3 = $210
(a) Highest = Wednesday ($225)
(b) Tuesday = $200, Thursday = $210 → Difference = $10
(c) Total cups = 60 + 80 + 90 + 70 = 300
→ 300 ÷ 4 = 75 cups/day (average)
Tips to Tackle Data Analysis Questions:
- Read the labels and units carefully—some graphs may show “in kg” or “in hundreds”
- Look for terms like “total number”, “difference”, “least number”, or “most”
- Use a ruler or finger to track values clearly when reading off graphs
7. Multi-Step Word Problems
These are the “thinker” questions—where one-step answers won’t cut it.
They often involve more than one operation and require you to read carefully, work backwards, or break things into parts.
Sample Question:
Ivan gave half of his money to Helen. He then spent $18 and was left with $12. How much money did Ivan have at first?
Worked Solution:
- After spending, Ivan’s coins total $12
- So before spending, he had: 12 + 18 = $30
- That $30 was half of his original total amount
- Multiply by 2 → 30 × 2 = $60
Tips to Tackle Multi-Step Word Problems:
- Underline important phrases like “gave half”, “left with”, “more than”, or “difference”
- Draw a bar model or use units to break the problem into smaller, manageable parts
- Don’t rush—multi-step questions reward careful, methodical thinking
Smart Study Tips to Power Up Your Primary School Leaving Examination (PSLE) Math Prep
Now that we’ve gone through the most common PSLE Math questions, let’s look at how you can study smarter, stay focused, and build real exam confidence with a few simple habits:
1. Set Short, Focused Revision Blocks
Break your study time into 25–30-minute chunks with short breaks in between. It helps your brain stay sharp and avoids burnout from long, tiring sessions.
2. Study With a Friend (the Right Kind!)
Find someone who’s just as focused—and quiz each other, compare answers, or solve questions together. It’s way easier to spot mistakes (and stay motivated) when you’re not doing it alone.
3. Have a ‘Mistake Book’
Every time you get a question wrong, write down why. This helps you learn from your mistakes, not repeat them—plus, it becomes gold during your final revision.
4. Mix in Past-Year Questions Early
Don’t wait until the last minute to touch actual exam papers. Doing 2–3 PSLE questions a day alongside your topical practice helps you apply what you’re learning in context.
5. Get Guidance from Expert Tutors
There’s only so much you can do on your own. A good tutor helps you spot weak areas, teaches smart strategies, and builds the confidence you need to walk into PSLE feeling ready.
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