P6 Math: Overlapping Areas of 2 Shapes ( Triangle and Rectangle )

This question type presents 2 overlapping shapes.
The areas of both shapes are not given but certain dimensions of the shapes are given.
The question will ask for the area difference between 2 non-overlapped regions.

Such questions are common in both paper 1 and paper 2 of P6 exam papers.

Calculator is allowed if such questions appear in Paper 2.

Overlapping leaves of the forest canopy to capture as much light as possible

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P5 Math: Ratio Basics

The comparison between 2 values can be done using fractions, ratio, percentage, etc.

 

To express 2 numbers as ratio is like drawing a comparison models of 2 numbers and finding their common factors.

But all these must be done without drawing models and without finding common factors.

Such questions will appear in Paper 1 of P5 exams.

Calculator usage is not allowed.

Fadil bought 25 chicken satay sticks for his children.

Germaine bought 30 chicken satay sticks for her parents.

What is the ratio of Germaine's satay sticks to Fadil's satay sticks?

Some of the best Satay in Singapore

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

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P6 Math: Starting Ratio and Ending Fraction and Ending Value

This question begins with a ratio between 2 parties.

Both will share to spend on an item [ unequal shares ].

One of the parties will have a fraction of its amount left and the other party will have a certain value remaining after the spending.

Matt and his brother has money in the ratio of 5:3 at first.

They shared to buy a handbag for their mother.

Matt paid for 60% of the handbag and his brother paid for the rest.

After paying for the handbag, Matt has ¹/₄ of his money left and his brother has $316 left.

How much was the handbag?

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

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P5 Math: Start Equal Ratio with Constant Decrease

These questions begin with both parties having equal amount. 

Each undergo constant decrease but of different amounts.

The one with larger constant decrease will end up with having lesser money remaining.

Such questions will appear in P5 Paper 2.

Calculator usage is allowed.

Rina and Kate have equal amount of money at first.

Each week, Rina spends $50 and Kate spends $55.

After a while, Rina has $177 left and Kate has $122 left.

How much did Kate have at first?

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

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P6 Math: Comparing Percentages of 2 Different Totals

Though 2 percentages are being compared, each percentage represents part of a different total. Such questions are similar to fraction comparisons of 2 different totals ( where the denominator represents 2 different totals )

Questions like these can appear in Paper 2 of P6 exams.

Calculator usage is allowed.

More of such questions "here".

There are men and women queuing to enter a new mall in Jurong.

50% of all the men in the queue are equal to 200% of all the women in the queue.

There were 36 more men than women in this queue.

How many women were there in this queue?

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

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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 are 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

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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.

The question below will randomize with different numbers every hour. 

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