P4: Fraction of Remainder (Basic)

Fraction of a remainder is a concept similar to Fraction of a Fraction.

Student will need to know that they must not make both denominator the same if each denominator of the 2 fractions do not represent the same total.

Such questions are common in Section C of P4 exams.

More of such questions with slightly higher difficulty for P4 students here.

Jaya has some plates in green, blue and red in colour.

¹/₄ of his plates are green.

⁵/₆ of the remaining plates are blue and the rest are red.

He has 40 blue plates.

How many plates does he have altogether?

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

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P4P5 Math: Fraction of Remaining(Simpler)

"Fraction of remaining" is a concept that requires students to be able to understand that in the 2 fractions given, one represents "Fraction of Total" and the other represents "Fraction of Remaining".

The denominators of both fractions need not be made to be the same as both represents a different value.

Such questions usually appear in Section C of P4 exam papers.

Calculator is not allowed. (for P5 students attempting this question)

Similar question for P4 can be found here.

A tougher version for P5 can be found here.

Calvin has a collection of precious gemstones.

¹/₄ of his gemstones are green in colour.

¹/₃ of his remaining gemstones are red and the rest are blue.

He has 24 blue gemstones.

How many gemstones does Calvin have altogether?

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

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P6 Math: Fraction of a Fraction of a Fraction

This questions splits up a total value into 2 groups.

After undergoing fractional decrease for each group, both are now of equal value.

Such questions are common on Paper 1 of P6 Prelim papers.

Calculator usage is not allowed.

There were some passengers in the airport waiting to board their planes.

²/₅ of the passengers were male and the rest were female.

After ¹/₄ of the male passengers and some female passengers boarded their planes,

there were equal number of male and female passengers whom have yet to board their planes.

What fraction of the female passengers have already boarded their planes?

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 Fractions : Mixed numbers undergo fractional decrease

A mixed number is used to represent the mass of a substance.

This mixed number next undergo fractional decrease.
The fractional decrease may or may not include the units of measure.

Such variation will result in different method of solving and the answers will be different.

Such questions usually appear in Paper 1 of P5 Papers.
Calculator usage will not be allowed.

An easier version of this fraction problem sum can be found here.
An expert version of this question can be found here.

Sean has 2 3⁄4 litres of milk.	Melissa has 2 3⁄4 litres of apple juice.
He drank 1⁄2 litre of the milk.	She drank 1⁄2 of the apple juice.
What is the volume of milk he has left?	What is the volume of juice she has left?

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

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P5/P6: Remaining Fraction expressed as a Ratio

This question types presents the a total sum being split into 3 parts.

The first part is a fraction of the total. The remaining is split into a ratio of 2 unequal parts.

Such questions will start to appear in P5 exam papers once students have been taught "Fraction of Remaining" and also "Ratio".

These uestions usually appear in Paper 2.
Calculator usage is acceptable.

Jack, Larry and Kelvin each have some gold coins inherited from their grandfather.

²/₅ of all the gold coins were inherited by Jack.

The remaining gold coins were distributed to Larry and Kelvin in the ratio of 3:7 respectively.

If Kelvin inherited 60 more gold coins than Larry,

how many gold coins did the 3 boys inherited altogether?

Chest of gold coins

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

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P6 Math: Discount on an already discounted price

The following question type requires student to understand that when 2 separate discounts are given, they are not cumulative. 
(ie their numerical percentages cannot be simply added together.)

Such questions are common in P6 exams and can appear in both Paper 1 and 2.
But for the questions below, calculator usage is allowed.

Shayanne bought a watch from a store at Raffles Place.

There was a storewide discount of 20%.

Her credit card provided an additional 10% on the discounted price.

The original price of the watch at this store was $8000.

How much did Shayanne pay for the watch if she used her credit card?

(The total discount on the watch is definitely NOT 30%)

Luxurious Watches are also known as Timepieces

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

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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.

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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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