P6 Math : Angles in 2 Identical Overlapping Isosceles Triangles

Angles within 2 overlapping triangles.

Though the question presents 2 identical isosceles triangles overlapping each other, the rules of angles in quadrilaterals cannot be ignored in this question.

Questions like these will appear in Paper 2.
Calculator usage is allowed.

Quadrilaterals and Triangles in traditional bridge construction

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P6 Math: Discount on an already discounted price

The following question type requires student to understand that when 2 separate discounts are given, they are not cumulative. 
(ie their numerical percentages cannot be simply added together.)

Such questions are common in P6 exams and can appear in both Paper 1 and 2.
But for the questions below, calculator usage is allowed.


Shayanne bought a watch from a store at Raffles Place.
There was a storewide discount of 20%.
Her credit card provided an additional 10% on the discounted price.
The original price of the watch at this store was $8000.

How much did Shayanne pay for the watch if she used her credit card?
(The total discount on the watch is definitely NOT 30%)

Luxurious Watches are also known as Timepieces

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

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P4/P5 Math: Before and After (Start with Multiples and Ending Equal)

Questions such as the one below starts off with one party having multiples of another.

The one with more(at first) decreased and the one with less(at first) increased.
Both ends with equal value.

The amount decreased or increased may not always be a multiple of a common number.

A "Before and After" comparison model is needed to represent the changes.

Such questions require no calculator and are suitable for both P4 and P5.

Ackbar and Mohan each bought some carrots from the supermarket.
Ackbar bought 5 times as many carrots as Mohan.
After Ackbar ate 13 carrots and Mohan bought 19 more,
both have equal number of carrots.

How many carrots do they have altogether at the end?

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

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P5 Math: Total of 2 items with different quantities and different values

The question type below deals with 2 different items, each with different individual values and quantity. 

One item bought has a larger quantity that the other.
The total value of both items and their individual value difference a
re given.

Such questions often appear in P5 mid year exam onwards.
This is a paper 2 question so calculator is allowed.

A tougher version of this question for P6 students can be found here.
An easier version of this question for P4 students can be found here.

Calista bought 6 more dolls than hairbands from a shop.
Each doll costs $11 and each hairband costs $7.
She spent a total of $156 of all the hairbands and dolls.

How many dolls did she buy?

Classic Porcelain Dolls


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

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P4/P5 Math: Internal Transfer (Ending with Multiples)

 Questions like these are common up to P5 and P6.

The starting difference between 2 parties is given.
There is an internal transfer and one party is a multiple of the other party at the end.
Similar question type on internal Transfer "here".


Reiney has $100 more than Keith at first.
After Reiney gives Keith $5,
Reiney now has 6 times as much money as Keith.

How much did Reiney have at the end?

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


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P5 Math: Overlapping Vertexes/Angles on a Straight Line

Angles are often thought of as easy questions that require little practice.

That is a common misconception of many P5 and P6 students.
Without practice, one will not be able to remember the rules easily.

Questions like these will often appear in Paper 1.
Calculator usage will not be allowed.



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Diagram may not be drawn to scale



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P5/P6 Math: TRUE or FALSE or NOT POSSIBLE TO TELL?

Questions such as these are common in P5 and P6 Paper 1.

Students are required to use arithmetic and logic and knowledge of specific topics such as "average" in order to be able to fill in the boxes with the correct ticks.

Calculator usage is not allowed.


Jennifer, Kate and Lena have an average of 30 hairbands.
Each of them have some but different number of hairbands.
Lena has 50 hairbands.

Put a tick in the correct boxes.

StatementsTRUEFALSENOT POSSIBLE
TO TELL
Jennifer has 20 hairbands


Kate & Lena have 90 hairbands altogether



Exquisite Bejeweled Hairband


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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