P6 Math: Before and After (3 changes to percentage between 2 values)

This question type show the percentage changes at every step of the "internal transfer" that happens between 2 values.

Such questions are common in Paper 2 of P6 Prelim exams.

Calculator usage is allowed.

Shane and Kirsten have a total of $8640 at first.

Shane gave Kirsten some of his money and Kirsten's amount increased by 60%.

Kirsten then gave Shane some of her money and Shane's amount increased by 30%.

Then, Shane gave Kirsten some of his money and Kirsten's amount increased by 80%.

Both had equal amount of money in the end.

Find the percentage increase of the amount of Kirsten's money.

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P6 Math: Bill shared by 3 people but one of them paid first

A bill is shared equally by 3 people whom have different amounts of money at first.

This is a very unique question that requires students to make use of "Total Unchanged" to visualize the models between all 3 parties.

Such questions usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Mary, Roger and Ken shared the cost of a gift for their father equally.

If Mary paid for the gift first, the amount she have remaining will 

be ⁴/₉ of the amount of what Roger have at first. 

If Roger paid first, the amount he have remaining will 

be ¹¹/₁₅ of the amount of what Mary have at first.

If Ken paid first, he'd have no money remaining.

If Roger had $126 more than Mary at first,

how much did the gift cost?

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P6 Math: 2 Different Comparisons between 3 Parties

The relationship of 3 values are being compared by using the sum of first two to compare with the third.

2 of such comparisons are given with the known differences.

Such questions are common in Paper 2 of P6 Prelims.

Calculator usage is allowed.

Ahmad, Balu and Canaan, each have some marbles.

Ahmad's marbles make up ¹/₄ of their total number of their marbles.

Ahmad and Balu together, have 66 more marbles than Canaan.

Canaan and Ahmad together, have 24 more marbles than Balu.

How many marbles do they have altogether?

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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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P6 Math: Redistribution of same total to lesser parties with left over

The same total meant to be equally distributed, is now distributed to lesser parties, with each party getting sligjhtly more than before. There will also be some left over after the "re-distribution" due to lesser shares.

A relatively similar question can also be found here.

Such questions are common in P6 Paper 2.

Calculator usage is allowed.

Miss Tan have 560 sweets to give to her class of 35 students.

Each student was supposed to get the same number of sweets.

Because some students were absent that day,

Miss Tan had 38 sweets left after distributing 2 more sweets
to all whom were present.

How many of her students were present that day?

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P6 Math: Splitting 2 groups to become 4

For questions like these, there will be a ratio to split a larger group into 2.

Each of the smaller group is divided into 2 smaller groups.
Students are required to make use of repeated identity concept in order to solve such questions.

These questions often appear in Paper 2.
Calculator usage is accepted.

The children in a dance hall are divided equally into 2 groups.

In the first group, there were 20 more girls than boys.

In the second group, there were 12 more boys than girls.

45% of all the children in the dance hall are boys.

How many children are there at the dance hall?

Vintage picture of children dancing in hall

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P5/P6 Math: Repeated Identity (Ratios as Fractions)

The question presents 3 unique items of different quantities and each or 2 of them are compared with the total using "fractions".
2 of such comparison statements are given and the total is also known.

Questions like these requires students to use "ratio" methods to solve a seemingly "fraction" problem sum.

Cocepts such as "total unchanged" and "repeated identity" are required to solve such questions.

These questions will usually appear in Paper 2 of P5 and P6 exam papers.

Calculator usage is allowed.

Patricia has a collection of 135 books, stickers and pens.

²/₃ of these items were not pens.

³/₅ of these items were either books or pens.

a) How many items of Patricia's collection were stickers?

b) What is the ratio of her stickers to pens?

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P6 Math: An Impossible Fractional Transfer

The question below poses an impossible fractional split if students try to draw models and split up the apples fractionally.

Such questions require deeper understanding of before and after "Ratio" models and "Internal
Transfer".

As these questions usually appear in P6 Paper 2,
calculator usage is acceptable.

Alan has 160 more magazines than Pete.

After Alan gave ¹/₉ of his magazines to Pete,

he now has 4 times as many magazines as Pete.

How many magazines do they have altogether?

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P3/P4 Math: Internal Transfer (Make Equal)

"Total unchanged", more commonly known as , "Internal Transfer", requires students to draw "before and after" comparison models in order to solve "visually"

Such questions usually appear in Section C of P3 and P4 exam papers.

Janice has 225 candy bars and Kenny has 99 candy bars.

How many candy bars must Janice give Kenny

so both will have the same number of candy bars?

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P5/P6 Math: Internal Transfer with Constant Difference

The following question is a "Before and After" type question where there is an "Internal Transfer" between 3 parties and two of the parties will either add or minus the same number.

Hence the "Constant Difference".

Such questions usually appear in Paper 2 of P5/P6 exams.

Calculator usage is allowed.

Brad, Harry and Lawrence have some toy trucks.

Brad has 88 toy trucks, Harry has 150 toy trucks and

Lawrence has 20 toy trucks.

After Harry gave Brad and Lawrence equal number of his toy trucks,

Brad now have thrice as many toy trucks as Lawrence.

How many toy trucks did Harry have at the end?

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P5 Math : Internal Transfer

This question requires students to be able to visualize a before and after model.

Before and after the transfer between both parties in the question,
the total will not change.

Such question often appears in P5 Paper 2.
Calculator usage is allowed.

Lester has thrice as many lego bricks as Patrick.
After Lester gave Patrick 60 lego bricks,
Lester now has twice as many lego bricks as Patrick.

How many lego bricks do they have altogether?

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