P5 Math: Splitting 2 Groups to become 4

A group of items is being split into 2 using fractions.
Each of the group is being sub-divided again using another pair of fractions.

Such questions require the student to recognise the repeated identity in order to ensure that the fractional split in each group is correctly processed.

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

A similar version of this question using percentages can also be found here.

At first, ¹/₃ of the fruits in the basket are red grapes, the rest are green grapes.

¹/₂ of the red grapes and ¹/₄ of the green grapes are sold.

150 red and green grapes were sold altogether.

How many grapes were there at the basket at the start?

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P6 Math: Patterns NOT of Constant Increment (Version 2)

Pattern questions that deals with constant increment can be solved using a certain "3-step method".

The pattern shown below, however, is not exactly showing a constant increment between every consecutive pattern.

Such questions are common in P6 Prelim Paper 2.
Calculator usage is allowed

Pattern	1	2	3	4	5	6	7
Tiles	25	26	28	29	31	32	34

a) How many tiles will there be in pattern 11?

b) In which pattern will there be 145 tiles?

Mosaic tiles commonly used in swimming pools

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P6 Math: Circular area covered line fixed at one end

The following question is on "Circles".

Students needs to visualize a line fixed on one end that can be used to draw "circles" or a fraction of a circle around a square perimeter.

Such questions will appear in Paper 2 of P6 Prelims.
Calculator usage is allowed.

A dog on a leash is tied to a post at corner of a house.

The house occupies a square shape base and has an area of 256m².

The leash is 30m long.

What is the maximum area outside the house that the dog can roam freely?

Take π to be 3.14

Amazing facts about their sense of smell

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P4 Math: Fraction Comparison between 2 parties

Fractional comparision between 2 parties are taught in P4 after they become familiar with multiples such as twice, thrice, 4 times and 5 times, etc.

Instead of 

Alan has twice as much as Beth 

the same sentence could now be expressed as 

Beth has ¹/₂ as much as Alan

With this in problem sums, students must be able to draw model to express the comparison between 2 parties.

Amos has ⁵/₇ as many boxes of toys as Marvin.

Marvin has 35 boxes.

How many lesser boxes does Amos have than Marvin?

 

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P6 Math: Percentage Internal Transfer and External Transfer with Starting/Ending Totals given

The following question types provides both the starting and ending totals between 2 parties. There is an percentage internal transfer that took place before another percentage external transfer taking place.

"Before and After" and "Percentage" and "Internal Transfer" concepts will useful in solving these questions.

Such questions are common in Paper 2 of P6 Prelim exam papers.
Calculator usage is allowed.

Annie and Elizabeth have total of $4670 at first.

After Elizabeth gave 35% of her money to Annie and 

Annie spent 45% of her total amount on a designer bag,

they both had a total amount of $3095 remaining.

How much did Elizabeth give to Annie?

Are you a victim of fast fashion?

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P6 Math: Same total quantity of 2 different items of different values

This question type is made famous during the 2021's Math PSLE exams.

The "Helen and Ivan" question.

2 items of different quantities and value are split into 2 groups containing same number of items. The individual value difference a between 2 items and the total value of one of the group [ containing different quantities of 2 items ] are given.

This is a P6 PSLE Paper 2 question.
Calculator usage is allowed.

Helen bought 64 pencils and some notepads.

Ivan bought 104 pencils and some notepads.

Both Helen and Ivan bought the same total number of notepads and pencils.

Each notepad costs $2.70 more than each pencil.

Helen spent a total of $1134 on their pencils and notepads.

How much did Ivan spend on all his pencils and notepads?

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P5 Math : Rates and Part Thereof

Rates are commonly taught after students are able to grasp the concepts of time and mutiples.

The term "Part Thereof" refers to a fixed portion, regardless consumed by part or whole, that is charged the same "rate".

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

The rates of taking a taxi ride ( based on distance ) is shown in the table below.

First 1 km	$3
Every 200m or part thereof	50 cents

How much will it cost to ride on this taxi for 2.3km?

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The question below will randomize with different numbers every hour. 

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