P5/P6 Math: 2 types of stickers/ribbons with different repeated patterns

Such question type presents the student with 2 different lengths of ribbons or stickers.

Each sticker has some printed motifs on it.

With the same total length used, the difference between the total number of motifs on each sticker/ribbon type is provided.

Such questions are common in Paper 2 of P5/P6 exam papers.

Calculator usage is allowed.

Question type of similar nature can also be found here.

Ticker Tape Parade in USA

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P5/P6 Math: Percentage of 2 Totals ( Equal at the End )

This question type shows that 2 unequal quantities undergo percentage decrease.

The quantity left after the percentage decrease is equal to each other.

Such question resembles "Fractions of Equal Value" and there are similar questions using "Percentage" to represent the fractions of equal value here.

Such questions usually appear in SA2 of P5 and also in P6 Paper 2.

Calculator usage is allowed.

Mr Rahim has 250 more laptops than smartphones for sale.

After selling 70% of the laptops and 20% of the smartphones,

he has the same number of laptops and smartphones left.

How many smartphones and laptops altogether does he have for sale at first?

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P4 Math: Two Fractions of Total given ( difference known )

In the following question type, there are 3 different items of different quantity making up the unknown total.

2 fractions of the total are given to differentiate the quantity of 2 items.

The difference between 2 items is also provided.

The concept of common multiples will be useful here since the denominator represents the same total.

Such questions appear can in P4 Papers Section B and C.

A simpler version of the question can be found here.

Harry and Albert and Thomas were given some stamps from their uncle.

¹/₃ of the stamps were given to Harry. 

Albert received ¹/₄ of the stamps.

The rest of the stamps were given to Thomas.

Thomas received 80 more stamps than Harry.

How many stamps were given to the 3 boys altogether?

Vintage Singapore Stamps "Ship Series"

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P4/P5 Math: Before and After (Start Same, End with Difference)

The questions starts off with equal quantities of 2 different items.

Each item undergoes different fractional decrease.

The difference at the end is given.

Such question requires students to be able to use "Before and After" models 

and use the denominator of each fraction to show the total items of either type at first. 

Such questions usually appear in P4 SA2 papers and P5 Paper 1.

Calculator usage is not allowed.

A slightly more complex version of this question for P5 and P6 students can be found here.

Alison has the same number of red and white roses.

After giving away ¹/₄ of the red roses and ¹/₃ of the white roses,

she now has 24 more red than white roses.

How many roses does she have altogether at first?

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P5/P6 Math: Area (Overlapping Triangles in Rectangle)

The question presents 3 triangles overlapping each other within a rectangle.

An area that is clipped out within the rectangle is given.

The length and breadth of the rectangle is also provided.

Each of the heights of the 3 triangles is also the breadth of the rectangle.

This question often appears in Paper 1 of P5 exams.
Calculator usage is not allowed.

More overlapping triangles in rectangles questions here.

The Triangle Musical Instrument 

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P4 Math: Before and After Multiples ( One Party Changed ) Advanced

This question is the slightly more advanced version of the "Before and After" model with one party changed. The simpler version can be found here.

Comparison models will need to be drawn to represent correctly on which is the party that changed.

Such questions usually appear in Section C of P4 SA2 exams.

Alan has 3 times as much money as Beth at first.

After Beth spent $18 on lunch,

Alan now has 5 times as much money as her.

How much did Alan have?

Chicken Rice of Singapore

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P6 Math: Quantity and Value Difference and Ratio

The question type below provides the numerical quantity of 2 different items.
Each item has its own unique unit value but only the difference between each item's unit value is given.
The ratio of the total value between 2 items is also provided.

Such questions usually appear in Paper 2 of P6 Prelims or Mid-year papers.
Calculator usage is allowed.

Alison has 14 small tables and 3 big tables in her restaurant.

Each big table can seat 4 more diners than each small table when fully occupied.

On nights when all the seats are occupied, ⁷/₉ of the diners are seated at the small tables.

How many diners can be seated in each big table?

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P4 Math: Internal Transfer ( Ending Difference )

Internal Transfer where the total remains the same and the ending difference is given.

Such questions are common in Section C of P4 papers.

Alex has $244 and Ben has $1200.

How much must Ben give Alex so Alex will have $20 more than Ben?

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P4 Math: Start Time, End Time and Duration (24h)

Time questions for P4 requires students to work in 24h clock as well as being proficient with 12h clocks.

Questions can present themselves with such scenarios.

1. "Start time" and "duration" given, find "end time".

2. "Start time" and "end time" given, find "duration".

3. "End time and "duration" given, find "start time".

Alan boarded the cruise at 08 15 and disembarked after 7h 35mins.
At what time did Alan disembark?
(Give your answer in 12h clock)

Ben left home at 9.10 a.m. and took at bus to work.
He reached his workplace at 10 45.
How many minutes was his bus ride?

Carl watched a movie that ran for 2h 45mins.
He left the cinema at 5.40 p.m.
What time did the movie begin?
(Give your answer in 24h clock)

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P5/P6 Math: Splitting up groups to become more ( Percentage )

A group of 2 different items are further sub-divided into smaller groups within one group.
Instead of using fractions to split up the group, percentages are used instead.

Such questions are similar to the ones here.

These questions often appear in Paper 2 of P5 and P6 Math exams.
Calculator usage is allowed.

There are 40 students in a class.

25% of them are boys and the rest are girls.

80% of the girls wear spectacles.

How many of the girls do not wear spectacles?

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P4/P5 Math: 2 different total of 2 different quantities given

Questions like these do not provide any comparison between individual items.

The sum of 2 items of different quantities are given.

Students will find it difficult to draw any form of models since there is no comparisons between the 2 unit items.

Such questions usually appear in P4 Section C or P5 Paper 1.

Calculator usage is not allowed.

4 pails and 2 mugs costs $44 altogether.

1 pail and 1 mug cost $12 altogether.

How much does 1 pail cost?

Colourful pails

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