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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P6 Math: Circles with Rectangles and Diagonals

A rectangle is drawn inside a circle with one of its corner at the center of the circle.

The diagonal length of the rectangle between 2 corners is provided together with its length and breadth.

Students are expected to find the area of the circle using the information from the rectangle(within the circle).

Such questions often appear in P6 Paper 2 during the Prelims.
Calculator usage is allowed.

The semi-circle below has a rectangle inside of it.
The rectangle was drawn from the center of the circle.

What is the area of this semi-circle?

Take π to be 3.14

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P6 Math: Composite figure of Square formed around the edges of a Rectangle

The question below is a relatively uncommon one.

2 pairs of squares are drawn along the edges of a rectangle.
The total area of the 4 squares and the perimeter of the rectangle is known.
With that, students must find out what is the area of the rectangle in the middle.

Such questions appear in Paper 2 of P6 Prelim papers.
Calculator usage is allowed.

Composite rectangles in real life

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P5/P6 Math: Figure of 2 Overlapping Triangles

2 overlapping triangles sharing the same base but with different heights shares a common overlapped area.

Such questions requires students to know that the sum of the area of both triangles will definitely be more than the actual area of the figure shown.

Such questions are common in Paper 1 of P5/P6 exam papers.
Calculator usage is not allowed.

Triangular shaped support structures at the Eiffel Tower

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P6 Math: Different Percentage Discounts causing Different items to be Same Price

2 different items for sale at different discount percentages but has the same price after their respective discounts.

Such questions are common in Paper 2 of P6 Prelims and PSLE papers.
Calculator usage is allowed.

A pen was for sale at a 15% discount and a vase was selling at a 20% discount.
Both items were sold at the same price after the discount.

Lisa wanted to buy both discounted items but was short of $36.

If she only bought the pen at the discounted price, she'd have $100 left.

How much more will she need if she were to buy both items without discount?

An intricate antique Chinese vase

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