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: 3 Parties Before and After with Uneven Ratio at the End

A total of 3 parties are given at first.
Each of the party undergo increase or decrease and the end ratio is given.

Some of the increase/decrease are fractional and some are numerical.

Such questions are common in Paper 2 of P6 exams

Calculator usage is allowed.

An easier version of this question can be found here.

Elizabeth, Wendy and Lindy had a total of $483 at first.

Elizabeth was given more money by her parents and had double of what she had at first.

Wendy spent $67 on a pair of ballet shoes and Lindy's brother gave her another $94.

In the end, the ratio of remaining money of Elizabeth to Wendy to Lindy was 5:4:2.

How much did Lindy have at first?

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P5/P6 Math: Before and After with Percentage and Fractional Decrease

This question type begins with the total of 2 values given at first.

One of the value undergo percentage decrease and the other a fractional decrease.

Both values become equal at the end.

Students will need to work backwards in order to solve such questions.

These questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed.

Mr Tan and Mr Lee had a total of $418 at first.

After Mr Tan spent 75% of his money on a gift and Mr Lee spent ¹/₃ of his money on lunch, both men had equal amount of money remaining.

How much did each have remaining at the end?

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P5/P6 Math : 3 Parties Before and After with Equal Amounts at the End

This Before and After problem sum starts with the total of 3 parties given.

Each party undergo either numerical increase, numerical decrease and/or fractional decrease. The problem sum ends with each party having equal ratio in the end.

Such questions are common in P5 and P6 Paper 2.

Calculator usage is allowed.

Ben, Carl and Dave have a total of 1021 marbles at first.

After Ben halved his number of marbles by giving some away, 

Carl bought 118 more marbles and Dave threw away ¹/₅ of his marbles,

each boy have the same number of marbles left.

How many marbles did Dave have at first?

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P4/P5 Math: Before and After with Starting Total and Ending Equal

Questions like these require students to be able to use model drawing to visualize how the ending became both the same amount.

The total at first is given. Both parties undergo a change [ increase and decrease respectively.

And both parties have the same at the end.

Such questions will appear in Section C of P4 and Paper 1 of P5.

Calculator usage is not allowed.

There are a total of 140 red and green bottles at first.

After 12 red bottles are discarded and 20 green bottles were added,

there are now equal number of red and green bottles.

How many green bottles were there at first?

Green bottles due for recycling

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P4P5 Math: Internal Transfer ( Starting Total, Ending Multiples)

Another variant of the "Internal Transfer" type of question.

This version starts with a known total and the value of the transfer is also given.
Such questions will end with one party being the multiple of the other.

"Before and After" Comparison Models are necessary for such Section C questions in P4 exams.

Alice and Wendy have a total of 324 cookies at first.

After Wendy gave 35 cookies to Alice,

she now has twice as many cookies as Alice.

How many cookies did Alice have at first?'

Chewy Chocolate Chip Cookies

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P5 Math: Before and After Fractional Change and Deduction

This is a slightly more complex version of the P4 Question "here".

This question requires students to draw "Before and After" comparison models.

Calculation using long division will be impractical due to the large divisor.
Thus question shows itself again in P5 with larger numbers.

Such question will appear in P5 Exams in Paper 2.
Calculator usage is allowed.

Ken and Ryu have sum of $1040 altogether.

After Ken spent ¹/₆ of his money and Ryu spent $732 of his money,

both have the same amount of money left.

How much money did Ryu have at first?

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P4 Math: Before and After Fractional Change and Deduction

Such questions deals with the "Before and After" comparison models and
will commonly appear in P4 Section C in mid year SA1 or end of year SA2.

The P5 version of this question can be found "here".

Mark and Kelvin have total of $1075 altogether.
After Mark spent ⁷/₈ of his money and Kelvin spent $220 of his money,
each boy have the same amount of money left.

How much did they have left altogether at the end?

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The question below will randomize with different numbers every hour. 

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