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?

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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?

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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?


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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?


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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.)


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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?

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P6 Math: Average: Before and After (Advance)

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?


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