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P3 Math: Before and After (Basic)

The question type introduces P3 students to the "before and after" concept.

Drawing of comparison models is absolutely necessary to demonstrate understanding and comprehension of the story.

One of the models will remain unchanged.

Such questions are of higher value and will be in Section C of P3 SA1 or SA2.

Steven have $97 more than Elise at first.
After Elise spent $12 to buy some snacks,
Steven still has twice as much money as her.
How much money did both have altogether at first?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


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P3/P4 Math: Set Method (Equal Quantity)

The question below deals with "sets" with equal quantities of 2 items.
(each with different value)

Such questions are common for P3 SA2 and P4 SA1/SA2.


Patrick was given the equal number of $2 notes and $5 notes.
The $2 and $5 has a total value of $98.

How many $5 notes was he given?



If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


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P3 Math: Part/Whole Models Practice ( Fill in the Blanks )

The following is a part/whole model drawing practice designed for students to improve their model drawing skills and "number sense" without having to read a problem sum.


Students are required to draw the model shown below and make use of 3 numbers given to fill in the blanks in the model and also use arithmetic calculation to fill in the 4th blank.
The box below will randomize with different numbers every hour. 
Copy down these numbers and draw the model before making attempt.





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P3 Math: Comparison Models Practice (Fill in the Blanks)

The following is a comparison model drawing practice designed for students to improve their model drawing skills and "number sense" without having to read a problem sum.


Students are required to draw the model shown below and make use of 3 numbers given to fill in the blanks in the model and also use arithmetic calculation to fill in the 4th blank.


The box below will randomize with different numbers every hour. 
Copy these numbers down before making attempt.



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P3 Math: Comparisons Between 2 Parties

Questions like the ones below are designed to improve P3 student's proficiency in drawing comparison models and placing the correct values in different parts of the model.

Once students can draw such models and place the values at the correct parts of the model, the comparison model will actually help them to be able to write down the number statements required.

Basic foundation of such model can also be practiced at this link below.

P3 Math: Comparison Model Drawing Exercise (More Than/Less Than)

Alan and Beth have 95 vuvuzelas altogether.
Beth has 35 vuvuzelas.
How many more vuvuzelas does Alan have than Beth?

What is a vuvuzela?


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


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P3 Math : TRUE or FALSE or NOT POSSIBLE TO TELL?

This question type is getting popular with the upper primary Math exams.
It will require both arithmetic and logic to try to check(tick) the correct boxes.

An example of such question will look like this.

Ben, Chris and Dave have a total sum of $70.
Ben has $50.

Put a tick in the correct boxes.
Statements TRUE FALSE NOT POSSIBLE
TO TELL
Chris and Dave have a total of $20


Ben and Chris have a total of $60




If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


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P4/P5 Math: Common Multiples in Comparison Model Drawing

The following question is a P4 and P5 question that does not require a calculator.

This question presents 3 different parties and the same party is being compared with 2 others with different multiples.

A broom, a dustpan and a mop costs $33 altogether.
The mop costs thrice as much as the dustpan.
The mop also costs twice as much as the broom.

How much did the dustpan cost?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.



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P3 Math: Comparison Model Drawing Exercise (More Than/Less Than)





The following is designed to help students visualise more than/less than questions by using comparison models.

These few questions may look identical 

but these numbers given are representing different parts of the model.

Draw the comparison models and fill up all the empty boxes in each model


Q1) 
Ali has $78. Ben has $30 more than Ali. How much do they have altogether?


Q2)
Ali has $78 more than Ben. Ben has $30. How much does Ali have?


Q3)
Ali has $30 less than Ben. Ben has $78. How much do they have altogether?


Q4) 
Ali and Ben have $78 altogether. Ali has $30 more than Ben. How much does Ben have?


Q5)
Ben has $78 more than Ali. Ali has $30. How much do they have altogether?


Q6) Ali has $30 more than Ben. Ben has $78. How much money do they have altogether?


Q7) Ali and Ben have $78 altogether. Ben has $30. How much more money does Ali have than Ben?


Q8) Ali has $78. Ben has $30 How much more money does Ali have than Ben?




Draw this model for each question and
fill up the blanks with information from the question

P3 Math: Part/Whole Model Drawing Exercise



The following is designed to help students visualise subtraction and addition by using part/whole models.

These few questions may look identical 

but these numbers given are representing different parts of the model.

Draw the part/whole models and fill up all the empty boxes in each model


Q1) 
Bella has $100. She bought a book and had $15 left. How much was the book?


Q2)
Bella spent $15 to buy a magazine and has $100 left. How much did she have at first?


Q3)
Bella has some money at first. She received $15 from her father and now she has $100. How much money did Bella have at first?


Q4) 
Bella wanted to buy a bag that costs $15. How much change would she get if she gave the cashier a $100 note?


Q5)
Bella paid for the pair of shoes with $100 and received $15 change. How much did the pair of shoes cost?


Q6) Bella bought a chair that costs $15. She also bought a table that costs $100. How much did she pay for the 2 items altogether?

Draw this above model for each question and
fill up the blanks with information from the question


P4/P5 Math: Before and After: Start Same but End with Multiples

The following question is a P4 and P5 question that does not require a calculator.

This is a "before and after" model drawing exercise where both parties starts with the same amount but after each add or subtract different amounts from their total, the story ends with one being a multiple of another.

Derek and Becky baked the same number of loaves of bread at first.
After Derek sold 20 loaves and Becky gave away 80 loaves,
Derek now has 4 times as many loaves of bread left as Becky.

How many loaves of bread did both bake altogether at first?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


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P3 Math: Total Given After Subtraction and Addition

This question type is a simple before and after question that requires students to be able to comprehend what 2 mathematical functions (subtraction or addition) must be performed to get the total that was given at first(aka before).

Such questions usually will appear in Section B or C of P3 exam papers.

The train left Ang Mo Kio station with some passengers.
When the train reached Bishan station,
433 passengers alighted.
When the train reached Braddell station,
100 passengers boarded the train.

There were 645 passengers altogether on the train 
after the Braddell station passengers boarded

How many passengers were there on the train 
when the train left Ang Mo Kio station?


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


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P4/P5 Math: Same Container Holding Different Multiples of Objects

The following question is a P4 and P5 question that does not require a calculator.

The total value of container holding more items is given.
The total value of the same container holding lesser items is also known.

Such questions are common in Paper 1 of P5 and Section C of P4 exams.
Calculator usage is not allowed.

The same concept can also be presented in P6 questions in this manner

A box that holds 8 bars of soap,
has a combined mass of 2400g.
The same box holding 5 bars of soap,
has a combined mass of 1800g.

What is the mass of the box?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.



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P5 Math: Assumption (Advance)

This P5 version of "Assumption" method is different because there is a deduction of value.

This question usually appears in paper 1 for P5 mid-year SA1 or SA2.
Calculator usage is not allowed.

Mr Guetta is a delivery rider.
He delivered 15 parcels on Monday.

For each parcel delivered on time, he will earn $5.
For each parcel delivered late, $3 will be deducted.

He received $59 for the parcels delivered on Monday.
How many parcels were delivered late?

How are mail sorted at the post office?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
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P4 Math: Assumption

This question type is identical to "Guess and Check" which students have learnt in P3.
But in P4, a mathematical method is preferred to using a Guess/Check table.

The "Assumption" method is a required skill in P4 onwards
Such questions will begin to appear in P4 WA1 or SA1 in Section C.

In a carpark of 30 cars and motorcycles,

these vehicles have a total of 100 wheels.

How many motorcycles are there in this carpark?

What goes on at a car manufacturing plant?


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
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P3 Math: Gaps and Objects

This question type of "Gaps and Objects" requires the P3 student to understand the difference between "Objects" and the "Gaps" in between every 2 objects.

Such questions usually will appear in Section C of P3 exam papers

Along a footpath of 30m, 
there are 6 soldiers standing equally apart from each other.

What is the distance between every 2 soldiers?


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
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P5/P6 Math: Gaps and Objects around a fenced shape.

This question revisits the topic of "Gaps and Objects".

Such questions usually will appear in paper 2 and in P5 SA2 onwards.
Calculator usage is allowed.


Pots of plants are placed, equal distance apart from each other,
along the side of a square that has a length of 120m.
Along every side of this square, there needs to be exactly 6 plants.

a) What is the least number of potted plants needed altogether?
b) What is the distance between every potted plant along the same side?

(Hint: Answer for part (a) is definitely NOT 24.)


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
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P3 Math: Guess and Check

The question type below deals with the concept of "Guess and Check" for P3 students.

This is a precursor to "Assumption" which will be the arithmetic method that they will learn in P4.

But in P3, students are required to draw up a "guess and check" table to show their progress in guessing that leads up to the correct answer expected.

Such questions often appear in P3 WA1 or SA1 in Section C.

There are 22 chickens and cows in a farm.
These 22 animals have a total of 58 legs.

How many animals in this farm are cows?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
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P6 Math: Average: Before and After (Expert)

The question below deals with the topic of "Average".
Each of the 2 groups' average is known and the average of both groups is also given.

However the exact number of the parties in one of the groups was not provided.

Such questions appears in P6 mid year and prelims.
Calculator usage is allowed.


15 girls spent an average of $30 on stationery.
A group of boys spent an average of $22 on stationery.
Both the boys and girls spent an average of $25 on stationery.

How many children were there altogether?


If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 
Copy below question down before making attempt.


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