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?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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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?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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P5/P6 Math: Starting Total Known with Both Parties undergoing Fractional Decrease

A total of 2 parties is given.

Each of the 2 parties undergo different fractional decrease.

The comparison between the amount left is given as multiple of another.

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

Calculator usage is allowed.

Similar questions of this type can also be found here.

Jayden and Keane have a total of $2024.

After Jayden spent ²/₅ of his money on a gaming console and

Keane spent ³/₄ of his money on a phone, 

Jayden has twice as much money left as Keane.

How much did Jayden have at first?

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The question below will randomize with different numbers every hour. 

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P5/P6 Math: Starting Total and Ending Ratio (Basic)

The question type below provides the student with the starting total between 2 parties and the ending ratio after each of them undergo some changes. One of the value will undergo a fractional decrease and the other will have some value added or subtracted.

Students will need to "start from the end" in order to solve. (aka working backwards)

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

Calculator usage is allowed.

Similar questions of this type can also be found here.

Moorthi and Devi have a total of 1093 invitation cards to send out.

After Moorthi sent out ¹/₃ of his cards and Devi sent out 444 cards of her cards,

the ratio of Moorthi's to Devi's remaining cards was 4:5.

a) How many cards did Moorthi sent out?

b) How many cards did they have left altogether at the end?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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P5/P6 Math: Starting Total Known and Ending Ratio Given

Ratio question, such as the one below, starts off with a known total and ends with a given ratio.

Before and After questions, like these, will require students to work backwards.

Such questions usually appear in P5 and P6 Paper 2.
Calculator usage is allowed.

Similar questions of this type can also be found here.

Mr Kwok has a total of 350 guppies and terrapins for sale in his aquarium.

After selling ¹/₇ of the guppies and 80 of the terrapins, 

the ratio of the guppies and terrapins unsold is in the ratio of 3:1 respectively.

How many terrapins were there left in the aquarium?

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The question below will randomize with different numbers every hour. 

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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?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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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?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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