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. 

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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.

P6 Math: Fractions with incomplete sets

With a known quantity expressed as a fraction, smaller (equal)quantities in fraction are being removed until the last remaining quantity is left. 

Such questions often appear in Paper 1 of P6 papers.

Calculator usage is not allowed.

Tracy has ⁷/₅ kg of sugar. 

She packed them into as many packets of ¹/₈ kg as possible
and had some sugar left unpacked.

How many packets of sugar was she able to get?

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.

The question below will randomize with different numbers every hour. 

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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. 

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