P6 Math: Fractional Decrease of 2 different totals with 2 possibilities

This question type challenges the ability of students to handle fractions of 2 different totals.

Students need to be able to make use of the fractional decrease and the 2 values given (One of remaining total and one of difference between the 2 remaining values).

Such questions usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Jenny and Patsie have baked some cookies each.

If Jenny gave away ²/₅ of her cookies and Patsie gave away ¹/₂ of her cookies,

they will have 70 cookies left altogether.

But if Jenny gave away ²/₅ of her cookies and Patsie gave away ³/₄ of her cookies,

Jenny will have 19 more cookies than Patsie remaining at the end.

How many cookies did both girls bake altogether?

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

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P5/P6 Math: Before and After Fractional Decrease with Total at the End

2 values, in which one is a fraction of another, each undergoes fractional decrease and the total amount left is provided.

Such questions will need students to make use of common multiples and comparison models in order to solve.

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

Calculator usage is allowed.

An easier version of this question for P4 students can be found here.

Alan and Ben each have some water in their bottles.

The volume of water Alan have is ¹/₂ of the volume of water that Ben have.

After Alan drank ¹/₃ of his water and Ben drank ³/₄ of his water,

both boys have 560ml of water left altogether.

What is the total volume of water both boys have at first?

Army water bottle is also known as a water canteen

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

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P5 Math: Fractions Weighted Assessment 1

Usually at the end of Term 1, the P5 cohort will be taking a weighted assessment (WA1) that will test their ability to handle fraction problem sums.

The following few examples are common questions that addresses different aspects of P5 Fractions.

Calculator usage will not be allowed for such questions as workings are needed in order to solve.

The questions 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?

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/P5 Math: Before and After Fractional Decrease (Start Same, End with Difference)

The questions starts off with equal quantities of 2 different items.

Each item undergoes different fractional decrease.

The difference at the end is given.

Such question requires students to be able to use "Before and After" models 

and use the denominator of each fraction to show the total items of either type at first. 

Such questions usually appear in P4 SA2 papers and P5 Paper 1.

Calculator usage is not allowed.

A slightly more complex version of this question for P5 and P6 students can be found here.

Alison has the same number of red and white roses.

After giving away ¹/₄ of the red roses and ¹/₃ of the white roses,

she now has 24 more red than white roses.

How many roses does she have altogether 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: Before and After Fractional Change with Starting Difference (Advanced)

The question below require students to be able to split up 2 different quantities with the starting difference given.

Each unknown quantity is needed to split up to its corresponding fractions.
The difference between the 2 quantities at the end is given.

A similar variation of this question can also be found "here".

Such questions will appear in P5 SA2 and P6 Paper 2.
Calculator usage is allowed.

Harry has 45 more pencils than Matthew at first.

After Harry sold ¹/₃ of his pencils and Matthew gave ¹/₂ of his pencils away,

Harry has 80 more pencils than Matthew at the end.

How many pencils did both have altogether 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: Fractions and Ratio vs Repeated Identity

This following fraction/ratio question requires students to be able to identify the repeated identities in order to be able to make sense of the relationship between each ratio/fraction.

A starting ratio is given between 2 items.

Each of the item is then split again into 2 types via fractions.

The relationship between 2 of the split items are given with a comparison statement.

[eg more than, less than ]

Such questions usually appear in Paper 2 of P5 SA2 and P6 exams.

Calculator usage is allowed.

The ratio of boys to girls at the swim meet is 3:2.

¹/₄ of the boys and ¹/₃ of the girls are swimming
and the rest are not swimming.

There are 11 more boys than girls, whom are not swimming.

How many boys and girls are there altogether at the swim meet?

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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P6 Math: Fractional Internal Transfer and Fractional loss

The following is a popular P6 Prelim question that requires student to perform fractional internal transfer and fractional reduction.

Percentage is often thrown into the mix to represent the fraction instead.

Such questions appears in P6 Prelims and will be in Paper 2.

Calculator usage is required.

Steve and Melanie shared total of $8600 at first.

After Steve gave 50% of his money to Melanie and
Melanie spent ³/₅ of her money on a ring,
they have a total of $4730 left.

How much did Melanie have at first?

History of tradition of exchange of wedding rings

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: Fraction of a Fraction

Questions that deals with fraction of a fraction will usually appear in P4 WA2 and SA2.

Such questions will appear in Section C.

This is a pre-cursor to the P5 "Fraction of Remainder" type of questions.

A slightly easier version of this question for P4 students can be found here.

There are 280 people in a library.
¹/₄ of the people at this library are children.
The remaining are adults.
¹/₅ of the adults are men.

How many of the adults in the library are women?

Which is the oldest library in Singapore?

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: Before and After Fractional Change with Starting Difference (Basic)

The question below require students to be able to split up 2 different quantities with the starting difference given.

Each unknown quantity is needed to split up to its corresponding fractions.
The total of what both have left is given at the end.

A similar variation of this question can also be found "here".

Such questions will appear in P5 SA2 and P6 Paper 2
Calculator usage is allowed.

Fergie had 54 more instagram photos than Lionel at first.
After Fergie deleted ¹/₂ of her instagram photos
and Lionel deleted ¹/₃ of his instagram photos, 

both had 69 instagram photos left altogether.

How many instagram photos did both have altogether 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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