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

If you are able to solve the above question, try the one below with higher difficulty.

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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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Click here to Mr Neo's class

P5/P6 Math : Sharing the Shortage/Excess

The question type below is about evenly distributed items in multiple containers.

When some of the containers were removed, the items will be redistributed evenly into the remaining containers.

Such questions often appear in paper 2 for P5 after SA2 
and also for P6 mid year and prelim.

Calculator usage is allowed.

In a hall, chairs were arranged into 18 equal rows.
3 rows of chairs were removed and
these chairs were arranged equally into the remaining rows.
Each of the remaining row now has 12 more chairs.
How many chairs were there in the hall?

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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.

P3 Math : 3 Parties More Than/Less Than Comparison Model with One Party Given

The question type below allows P3 students to test their understanding on how to compare 3 different parties.

With the 2 comparison sentences given, students must piece together the information from both comparison pairs to construct a model that conforms with the information presented in the question.

Such questions often appear in P3 WA1 or SA1 during May and usually appears as the first question of section C.

There are red, blue and green rubber bands in a bag.
There are 35 more red than blue rubber bands.
There were 42 less green rubber bands than red rubber bands.
There were 80 blue rubber bands in the bag.

How many rubber bands were there altogether?

World's largest rubberband ball

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