P6 Math: Patterns NOT of Constant Increment

This question below is a very demanding P6 Pattern question.
Mostly seen in Prelim Papers and PSLE itself.

Usually appear in the last few questions of Paper 2 so calculator usage is required.


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Are you able to see the square and triangles in this question?

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P4 Math: Patterns of Constant Increment

This question below is a P4 pattern question that is common in Section C.

The number of objects in each consecutive pattern have the same increment as before.


Figure 1 2 3 4 5
Toothpicks 9 16 23 30 (a)

a) How many toothpicks will there be in Figure 5?

b) In which figure will there be 212 toothpicks?


Did you know toothpicks were first used before toothbrushes were invented?

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P5 Math : Same Capacity to Hold 2 Different Items

The question type below deals with a container with limited space for both items.
Such questions are common in P5 SA1 and SA2 and
 appears in Paper 1.

No calculator allowed.

A school bus can board either 20 adults or 28 children. After 5 adults boarded the empty bus,

how many more children can this bus take?

Why are school buses in America painted yellow?

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P4 Math: Before and After (Difference Unchanged)

The question type below deals with "P4 before and after" comparison models.
As both parties are subtracting the same amount, 
the difference between the 2 parties remains the same. (Constant Difference)

Such questions often appear in P4 exam papers in Section C.

Students may find this question "here" to be similar to the ones below.

Lily has 110 more postcards than Kelly at first. After both girls gave away the same number of postcards, Lily has 6 times as many postcards remaining as Kelly.

How many postcards did Kelly have at the end?

The earliest known picture postcard was designed and mailed out from London, England

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P6 Math: Catching up by Adding More every time

The question below starts with 2 parties, one with more and one with less.

The one with less will add more each time in order to catch up with the one with more.

Such question will usually appear in P6 and will appear in paper 2.
Calculator usage is allowed.

Hannah have a collection of 45 seashells and
Oliver have a collection of 72 seashells at first.

Each week, Hannah will add 9 seashells to her collection and 
Oliver will add 6 seashells to his collection.

How many weeks will it take Hannah to have the same number of seashells as Oliver?


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The question below will randomize with different numbers every hour. 
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P6 Math: Units and Parts (Fractions of different items) Part 1

This question uses 2 different fractions to represent 2 different groups of items.

Each denominator represents a different total.
Such questions are referred to as "units and parts".

A similar version of the question can also be found "here".

These questions will usually appear in P6 Exams Paper 2 and often appears in P6 Prelims.
Calculator usage is allowed.


In the morning,
there were a total of 387 boys and girls visiting the Science Center.

At 12 p.m. noon,
5/7 of the girls and 7/10 of the boys went home.

There were only 114 girls and boys remaining at the premises.

How many girls were there at first? 


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P5 Math: Lesser Number of Shares Increasing Cost of Each Share

The question type below deals with equal share with total unchanged.
But each share increases due to lesser number of people sharing the total.

P5 SA2 type question for Paper 1.
No calculator allowed.

5 girls shared to buy Alvin a watch for Christmas. One of the girls calculated wrongly and divided the cost of the watch by 6. Because of that, each girl's share became $8 lesser. How much was this watch?

How do automatic watches work?

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P5/P6 Math: Revisiting Fractions of Equal Value

The question below deals with the concept of equal value fractions.
Such questions will appear in exams once after ratio techniques are taught in P5.

Similar Fractions of Equal Value questions can also be found here

Calculator usage is allowed.


In a school canteen, there were 37 more boys than girls.
3/7 of the boys and 2/5 of the girls wore spectacles.
An equal number of boys and girls do not wear spectacles.

How many children were there at the canteen altogether?

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P6 Math: Lowest Possible Score in an Average of Some

The question below deals with the topic of "Average".
The average of some number of tests is known and the student must find out what is the lowest possible score for one of the tests if the maximum is also known.

Such questions usually appear in P6 Prelims and in Paper 1.

Calculator usage is not allowed.


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P6 Math: Fractional Internal Transfer and Fractional loss

The following is a popular P6 Prelim question that requires student to perform fractional internal transfer and fractional reduction.

Percentage is often thrown into the mix to represent the fraction instead.

Such questions appears in P6 Prelims and will be in Paper 2.
Calculator usage is required.


Steve and Melanie shared total of $8600 at first.
After Steve gave 50% of his money to Melanie and
Melanie spent 3/5 of her money on a ring,
they have a total of $4730 left.

How much did Melanie have at first?

History of tradition of exchange of wedding rings


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The question below will randomize with different numbers every hour. 
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