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. 

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click  if above box appears blank

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.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

P5/P6 Math: Fractions with and without units (expert)

Problem sums with different fractions in the same question.

Many students will simply start doing fraction subtraction by making the denominator to the a common multiple of the 3 denominators. 

But that will result in a wrong answer as not all fractions are representing the same total.

Eg. ¹/₄ kg of the rice is not the same as ¹/₄ of the rice.

¹/₄ kg of rice represents ¹/₄ of a kilogram of rice

but

¹/₄ of rice represents ¹/₄ of the total of all the rice.

Such questions usually appear in Paper 1.

Calculator usage is not allowed.

Janelle has ⁸/₉ kg of rice at first.

She gave ¹/₂ of the rice to her mum and made dumplings using ¹/₃ kg of the rice.

How much rice does she have left?

(Leave your answer in kg)

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

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

P4/P5 Math: Difference between 2 Fractions of Total

Fraction of Totals where the problem sum provides 2 of such fractions and the total is not known.

Model Drawing should be employed here to demonstrate the understanding of the "total parts".

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

Calculator usage is not allowed.

Sally was given her weekly allowance on Monday.

She spent ¹/₃ of her allowance on Monday 

and spent $45 on Tuesday.

She had already spent ³/₄ of her allowance by Tuesday.

How much was her allowance?

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

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

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. 

Copy below question down before making attempt.

P5/P6 Math: Partially-filled Container becomes Lighter

Question like these gives a total mass of a container that is partially filled. (fraction)

The mass given includes the contents of the container and also the mass of the container itself.

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

Calculator usage is accepted.

More of such questions (of varying difficulty) can also be found here.

A glass container, when ⁷/₈ filled with pebbles, has a mass of 1780g.

After 243g of pebbles were poured out, 

the glass container is now half filled with pebbles.

What is the mass of the glass container?

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

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

P5/P6 Math: Fraction of Total and another Fraction of Total

Fraction problem sums are common in P5 and P6 exams.

This particular type presents itself with a fraction of total that was used at first and provides a known value of the 2nd part that was used. 

The fraction of the total that was "used" was also given.

With 2 fractions of the total are provided, students need to know what to do with the value given in order to solve.

Tricia read ¹/₅ of a book on Monday.

She read another 48 pages on Tuesday.

In the 2 days, she had completed reading ²/₇ of the book.

How many pages are there in Tricia's book?

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

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

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.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

P4/P5 Math: Fraction with units and without units

P4 and P5 Fractions is a relatively large topic.

One of the type of question requires student to be able to tell the difference between the following fraction problem sum.

Malcolm has 3/5 kg of sugar.	Malcolm has 3/5 kg of sugar.
He gave away 1/2 kg of the sugar.	He gave away 1/2 of the sugar.
What is the mass of sugar he has left?	What is the mass of sugar he has left?

Can you spot the difference between the 2 fraction problem sums above?

Both will produce different answers due to this subtle difference.

Such questions often appear in Section B or P4 Papers or Paper 1 of P5 Papers.
Calculator usage will not be allowed.

A more advanced version of this question can also be found here.
An expert version of this question can be found here.

Spot the difference arcade game

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

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank