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

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P6 Math: Perimeter of Inner Rectangle to find Area of 4 Outer Rectangles

P6 Area and Perimeter can be challenging with questions such as the one below.

A shaded rectangle is surrounded by smaller unshaded rectangles along it's lengths and breadths.

The perimeter of the shaded rectangle and the breadth of each smaller rectangle is given.

Such questions usually appear in P6 Paper 1 exams.
Calculator usage is not allowed.


Open carton boxes resembling a total of 5 rectangles.
(when viewed from top)


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P5/P6 Math: Stacked Rectangles with Overlapping Triangle

A few identical smaller rectangles are stacked(combined) to form a larger rectangle.

From the larger rectangle, a triangle is drawn from the same dimensions, with part of the triangle, overlapping the large rectangle. ( as shown in the question below).

Such questions can appear in both Paper 1 and Paper 2 of P5 or P6 Math exams.
Calculator may be allowed if double digit long division needs to be carried out.


The "Recycle" logo is also a triangle

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P4P5 Math: Internal Transfer ( Starting Total, Ending Multiples)

Another variant of the "Internal Transfer" type of question.

This version starts with a known total and the value of the transfer is also given.
Such questions will end with one party being the multiple of the other.

"Before and After" Comparison Models are necessary for such Section C questions in P4 exams.

Alice and Wendy have a total of 324 cookies at first.
After Wendy gave 35 cookies to Alice,
she now has twice as many cookies as Alice.

How many cookies did Alice have at first?'

Chewy Chocolate Chip Cookies


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P4/P5 Math: Cutting out Smaller Squares from Larger Rectangle (Area)

Cutting out smaller squares from a larger rectangular sheet of paper requires students to remember that there may be "wastage" involved.

Common multiples may be employed to check if there are wastage.

Such questions usually appear in P3 and P4 exams in Section C.

Plots of land divided into smaller rectangles


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P3/P4 Math: Internal Transfer (Make Equal)

"Total unchanged", more commonly known as , "Internal Transfer", requires students to draw "before and after" comparison models in order to solve "visually"

Such questions usually appear in Section C of P3 and P4 exam papers.

Janice has 225 candy bars and Kenny has 99 candy bars.
How many candy bars must Janice give Kenny
so both will have the same number of candy bars?


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P4 Math: Common Multiples

Common Multiples are taught in P4 and requires students to be familiar with the multiplication tables.

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

Rick and Marge are at the bottom of a flight of stairs.
Rick placed a stone at every 3rd step he reached along the stairs.
Marge placed a stone at every 5th step she reached along the stairs.

Which is the first step along the stairs that will contain 2 stones?

Spiral Staircase

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