P4/P5 Math: Composite Figure made of Identical Rectangles

The formula for area and perimeter of shapes such as rectangles or square are taught since P3.

Composite figures made of identical rectangles requires students to be able to see lengths and breadths of each rectangle and how they are related to the composite figure.

Such questions are common for P4 Section C and P5 Paper 1.
No calculator is allowed.

Facade of house with rectangular windows

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P5/P6 Math: Fractional Internal Transfer with Total and Ending Difference Known

The following question type starts with a known total between 2 parties.

One of the party transfers a fraction of itself to the other.
The ending difference is also known.

Such questions usually appear in P5 and P6 Paper 2 of exams.
Calculator usage is allowed.

There are 234 white and black gloves.

After ²/₅ of the white gloves dyed to become black,

there were still 24 more white gloves than black gloves.

How many black gloves were there at first?

Rock climbing gloves help to prevent abrasions on skin

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

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P5/P6 Math: Sum of Consecutive, Odd or Even Numbers in a Series

Summing up 2 or 3 numbers are taught in since kindergarten and primary 1.

However, in a series of numbers, a method must be used to find the sum of 20 - 50 numbers without manually adding 2 in a working and continuously adding the next one until the end of the series.

This method was taught in some schools though many choose to omit it due to lack of time within the curriculum (aka rainbow method).

A rainbow can be seen from one end to the other in Singapore City

The question below will randomize with different numbers every hour. 

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P6 Math: An Impossible Fractional Transfer

The question below poses an impossible fractional split if students try to draw models and split up the apples fractionally.

Such questions require deeper understanding of before and after "Ratio" models and "Internal
Transfer".

As these questions usually appear in P6 Paper 2,
calculator usage is acceptable.

Alan has 160 more magazines than Pete.

After Alan gave ¹/₉ of his magazines to Pete,

he now has 4 times as many magazines as Pete.

How many magazines do they have altogether?

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

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P4/P5 Math: Fractions along a Number Line

Fractions is a staple topic of P4, P5 and P6.

Questions like these require students to be able to see fractions along a number line with various deviations between 2 fractions.

Such questions usually appear in Paper 1 of P5 exams and Section B of P4 exams.

Calculator usage for P5 and P6 students is not allowed.

Ants forming a line as they head back to their nest

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P5/P6 Math : Water in Partially-Filled Tanks to fill up Multiples of Smaller Containers

Such questions that deals with a large volume of water requires student to redistribute the water into smaller containers.

Both the dimensions of the larger tanks and smaller containers are given.
But the larger container is not filled to the brim.

Questions like these usually appear in Paper 2 of P5/P6 papers.
Calculator usage is allowed.

A large tank with dimensions of 32cm by 18cm by 12cm is ¹/₃ filled with water.

The water is used to fill smaller cubical containers with sides of 2cm.

How many of such smaller containers can be filled with the water from the large tank?

Glass filled with water to the brim

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

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P5/P6: Remaining Fraction expressed as a Ratio

This question types presents the a total sum being split into 3 parts.

The first part is a fraction of the total. The remaining is split into a ratio of 2 unequal parts.

Such questions will start to appear in P5 exam papers once students have been taught "Fraction of Remaining" and also "Ratio".

These uestions usually appear in Paper 2.
Calculator usage is acceptable.

Jack, Larry and Kelvin each have some gold coins inherited from their grandfather.

²/₅ of all the gold coins were inherited by Jack.

The remaining gold coins were distributed to Larry and Kelvin in the ratio of 3:7 respectively.

If Kelvin inherited 60 more gold coins than Larry,

how many gold coins did the 3 boys inherited altogether?

Chest of gold coins

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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