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?

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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.

The question below will randomize with different numbers every hour. 

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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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