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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P5/P6 Math: Revisting Before and After Ratio ( Both Parties Change )

This question type is similar to the one posted here.

There are 2 values being compared using ratio and each of them undergo addition or subtraction and the ending ratio is also provided.

Such questions are common in Paper 2 of P6 exams.

Calculator usage is allowed.

Eric and Tyra were given money by their father in the ratio of 7:2. 

After Eric spent $165 and Tyra was given $210 more, 

the ratio of Eric to Tyra's money at the end became 2:7. 

How much did Tyra have at first?

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P5 Math: Uneven Ratio becomes Equal after Both Decrease

This question provides the ratio of 2 items at first.
After both undergo different decrease in value, both ends up being equal with one another.

Such questions are common in WA2(mid year) for P5.

Calculator usage may be allowed.

A similar but "inverted" version of this question can also be found "here".

Alan and Rick each have pencils in the ratio of 5:8.

After Alan gave away 32 pencils and Rick sold 77 pencils.

They have equal number of pencils remaining.

How many pencils did Rick have at the end?

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P6 Math: Fraction of one is more than Fraction of another

This question compares a fraction of one value with a fraction of another.

The difference between the 2 fractions of different totals and their total are values that are given.

Such questions are common in Paper 2 for P6 mid year exams.
Calculator usage is allowed.

Alfie and Brad spent a total of $802 at the arcade.

¹/₄ of the amount that Alfie spent was $41 more than ¹/₇ of what Brad spent.

How much more did Brad spend than Alfie?

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P5/P6 Math: Sharing the Workload Thus Lesser Time Needed

This question looks like an "Average" question
but it is not simply adding together and divided by 2.

When the job is shared, the time taken will always be lesser as the workload will be shared.

Such questions are common in P5 and P6 exams.
Calculator usage is not allowed.

Carol will need 5 hours to paint her bedroom.

If the room was painted by her father, he will only need 2 hours.

If both Carol and her father were to paint together,

how long will it take for them to paint her bedroom?
(Give your answer in hours using fraction in simplest form)

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P5/P6 Math: Fraction of Remaining (Intermediate)

The following question type require students to be able to understand "fraction of remaining".

2 fractions are given to represent 2 items
and 2 numbers are given to represent one of the items and the final amount left.

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

Joe started reading a novel.

He read ²/₅ of the novel on Monday.
He read another 58 pages of the novel on Tuesday.
After reading ¹/₄ of the remaining novel on Wednesday,
he finished reading the last 96 pages of the novel on Thursday.

How many pages were there in this novel?

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P6 Math: Average: Before and After (Advance)

The question below deals with the topic of "Average".
Each of the 2 groups' average is known and the average of both groups is also given.

However the exact number of the parties in one of the groups was not provided.

Such questions appears in P6 mid year and prelims.
Calculator usage is allowed.

15 girls spent an average of $30 on stationery.

A group of boys spent an average of $22 on stationery.

Both the boys and girls spent an average of $25 on stationery.

How many children were there altogether?

How pencils are made at the factory?

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P6 Math: Catching up by Adding More every time

The question below starts with 2 parties, one with more and one with less.

The one with less will add more each time in order to catch up with the one with more.

Such question will usually appear in P6 and will appear in paper 2.
Calculator usage is allowed.

Hannah have a collection of 45 seashells and

Oliver have a collection of 72 seashells at first.

Each week, Hannah will add 9 seashells to her collection and 

Oliver will add 6 seashells to his collection.

How many weeks will it take Hannah to have the same number of seashells as Oliver?

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P5/P6 Math: Revisiting Fractions of Equal Value

The question below deals with the concept of equal value fractions.
Such questions will appear in exams once after ratio techniques are taught in P5.

Similar Fractions of Equal Value questions can also be found here

Calculator usage is allowed.

In a school canteen, there were 37 more boys than girls.

³/₇ of the boys and ²/₅ of the girls wore spectacles.

An equal number of boys and girls do not wear spectacles.

How many children were there at the canteen altogether?

Natural ways to improve your eyesight without surgery

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P5/P6 Math: Ratio: Both Parties Change

The question below deals with the ratio, where both parties undergoing changes via addition or subtraction. Both the starting ratio and ending ratio will be given.

Such questions will appear in exams once after ratio techniques are taught in P5.

Calculator usage is allowed.

A similar version of this question can also be found here.

Jason and Alan each bought some flowers

in the ratio of 1:3 respectively.

Jason gave away 12 flowers and Alan gave away 18 flowers.

The ratio of Jason's flowers to Alan's flowers became 2:9.

How many flowers did they buy altogether at first?

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P4/P5/P6 Math: Fraction With And Without Units

Questions like these need students to understand that 

"fraction of total" and "fraction of a kg"(or any other units of measure)

needs to be processed differently.

Such questions usually appears in P4 section C and will also be tested for P5 and P6.

Heather has ⁷/₈ kg of flour.

She gave ¹/₄ of her flour to Ben

and used ¹/₂ of her flour to bake a cake.

How much flour does she have left?

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P4 Math: Before and After (Intermediate)

The question type below deals with "P4 before and after" comparison models.
One of the models will remain the same.

Such questions often appear in P3/P4 exam papers in Section C.

Samy has thrice as many books as Darius at first. After Darius gave away 18 books, Samy has 6 times as many books as Darius.

How many books does Samy have?

Book binding process (video link)

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P5/P6 Math : Repeated Identity Ratio (Basic)

Questions of these type will start to appear in tests and exam papers once the students have been exposed to REPEATED IDENTITY and RATIO.

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

Gerald, Thomas and Brandon shared the cost of a present.

The ratio of Gerald's share to Thomas' share was 2:3.
The ratio of Thomas' share to Brandon's share was 1:2.

Brandon paid $48 more for his share than Gerald.

How much was the present?

Some history about Christmas

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P5/P6 Math: Fractions of Equal Value

The question below deals with the concept of equal value fractions.
Such questions will appear in exams once after ratio techniques are taught in P5.

Calculator usage is allowed.

Evelyn and Heather collected some seashells from the beach.

¹/₃ of the seashells that Evelyn had collected 

was equal to ²/₅ of Heather's seashells.

How many seashells did they collect altogether

if Evelyn collected 13 more seashells than Heather?

Why we must not pick seashells from the beach

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P6 Math: One Party Reduced to Zero with Starting Ratio Given

The question type below deals with 2 parties with different ratios given at the start.
Each will have different amount deducted every instance until one party reaches zero.

Such questions often appear in P6 paper 2 during SA1 and prelim.

Calculator is allowed.

Geraldine has red and blue pins in the ratio of 3:4 respectively.

For every 5 red pins she used, 3 blue pins will also be used.

After all the red pins were used, there were 132 blue pins remaining.

How many red and blue pins did Geraldine have altogether at first?

20 of the most visited countries in the world

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Students may find these question types to be similar.