P6 Math: 3 Different Fractions of 3 Different Totals

This question type shows 2 fractions of 2 different totals.

The 3rd fraction shows the relationship between the 2 numerators above.

Such questions are common in Paper 1 of P6 Exams(Mid Year and Prelims)

Calculator usage is not allowed.

Mr Teo owns an aquarium that sells goldfish and guppies.

On a particular day, he sold ¹/₃ of the goldfish and ⁵/₁₁ of the guppies.

⁸/₁₃ of the fish sold that day were goldfish.

What fraction of all his fish were sold that day?

                                                1)    ²⁶/₃₃

                                                2)    ²⁶/₃₅

                                                3)    ¹³/₃₅

                                                4)    ⁶/₁₁

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P4/P5 Pie Chart (Fractions of Different Denominators)

These questions shows that the Pie Chart have 3 sections and each section is denoted by a fraction with its own unique denominator.

Students have to make use of common denominator so all the sections' fractions add up to become one whole.

Such questions are common in Section C of P4 exams and also in Paper 1 of P5 exams.

Calculator usage is not allowed.

More similar questions on Pie Charts here.

Is this a Pie Chart or a picture of a pyramid?

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P4/P5 Math: Fraction of Total remaining

"Fraction of total" and "Fraction of remaining" are common Fraction problem sums in P5 and P6 Math.

While the word remaining is used here, it is not representing the "fraction of remaining".

A value and fraction of total was used and what remains is a fraction of the total.

Simple model drawing can be used to solve this fraction problem sum.

Such questions usually appear in Paper 1 of P5 papers or Section C of P4 papers.

Calculator usage is not allowed.

Sally read 60 pages of a book on Thursday and read ¹/₈ of the book on Friday.

She completed reading the remaining ¹/₄ of the book over the weekend.

How many pages has this book got?

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P5/P6 Math: Comparing Fractions with a Whole Number

Being able to compare fractions requires quite a few skills.

- Comparing with "HALF"

- Comparing with "ONE WHOLE"

- Comparing Numerators when "DENOMINATORS ARE THE SAME"

- Comparing Denominators when "NUMERATORS ARE THE SAME"

The following question requires students to be able to compare 4 fractions with a whole number to determine which is the nearest fraction.

The key to find correct nearest/closest fraction is by looking at the "difference" or the "gap"

Such questions appear in Paper 1.

Calculator usage is not allowed.

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P6 Math: Units and Parts (Fractions of different items) Part 2

This question uses 2 different fractions to represent 2 different groups of items. 

Each denominator represents a different total.

Such questions are referred to as "units and parts".

A similar version of the question can also be found "here".

These questions will usually appear in P6 Exams Paper 2 and often appears in P6 Prelims.
Calculator usage is allowed.

650 children visited the Singapore Zoo on a Sunday morning.

By 3pm, ⁴/₅ of the girls and ³/₄ of the boys left the zoo and went home.

There were 58 more girls than boys whom stayed on at the zoo after 3pm.

How many girls were there at the Zoo on Sunday morning at first?

World's Best Rainforest Zoo

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P5/P6 Math: Comparing Fractions MCQ

Being able to compare fractions requires quite a few skills.

- Comparing with "HALF"

- Comparing with "ONE WHOLE"

- Comparing Numerators when "DENOMINATORS ARE THE SAME"

- Comparing Denominators when "NUMERATORS ARE THE SAME"

Such questions appear in Paper 1.

Calculator usage is not allowed.

Which of these fractions is smaller than 1/5?

1)     2/6   

2)     3/10

3)     2/11

4)     3 /12

Some random pictures of how to see "FRACTIONS"

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P6 Math: Fractions (Expert Level)

The following question type requires students to be able to look into each numerator and denominator to find a common one to make the same.

Such questions will usually appear in P6 exams in Paper 2.
Calculator usage is allowed.

In a school, ¹/₃ of the male students were absent and

¹/₄ of the female students were absent on Monday.

⁷/₁₀ of all the students were present that day.

There were a total of 440 female students in that school.

How many male students were present on Monday?

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P5/P6 Math: Whatever Left is a Fraction of Total

This question type shows the denominator that represents the total are presented differently when used to represent the "fraction of total" that is represents on first item and the "fraction of total" that is left at the end.

Can the denominator that is used to represent the total in both statements be different numbers?

Such questions usually appear in Paper 2.
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In a bag of red, blue, yellow and pink balloons,

²/₅ of the balloons are red.

There are 13 blue balloons and 27 yellow balloons.

The remaining ¹/₁₀ of the balloons are pink.

How many balloons are there in the bag altogether?

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P5/P6 Fractions (Before and After)

The following question type require students to understand what each numerator and denominator represents.

There will be 

fraction of the "total"
fraction of "one type"
fraction of "left"

Such questions usually appear in P5 SA2 and P6 exam papers in paper 2.

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There are equal number of gray and brown jackets for sale in the store.

After ¹/₂ of the gray jackets and some brown jackets were sold,

the amount of jackets remaining was ¹/₃ of the total number of jackets for sale in the store.

What fraction of the remaining jackets are brown?

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P6 Math: Units and Parts (Fractions of different items) Part 1

This question uses 2 different fractions to represent 2 different groups of items.

Each denominator represents a different total.
Such questions are referred to as "units and parts".

A similar version of the question can also be found "here".

These questions will usually appear in P6 Exams Paper 2 and often appears in P6 Prelims.
Calculator usage is allowed.

In the morning,
there were a total of 387 boys and girls visiting the Science Center.

At 12 p.m. noon,
⁵/₇ of the girls and ⁷/₁₀ of the boys went home.

There were only 114 girls and boys remaining at the premises.

How many girls were there at first? 

Singapore Science Center

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P4/5/6 Math: Decreasing Denominator Along Number Line (Fractions)

Questions like these deals with fractions along a number line.

Such questions usually appears in P4 section B 

and will also be tested for P5 and P6 in Paper 1.

No calculator usage for the P5 and P6.

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What is the missing fraction?

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