P6 Math: Fractions with Different Values

Such "fraction" questions are further complicated by having different values tagged to each group. Each of the "fraction of total" and "fraction of remaining" and "left" groups have different values/scores/points.

These questions often appear in Paper 2.

Calculator usage is allowed.

During a carnival, a total of 1748 play tokens were given out free to children whom visited.

¹/₄ of the children received 5 tokens each and 

²/₅ of the remaining children received 4 tokens each.

The rest of the children each received 3 tokens.

How many children visited the carnival?

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

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. 

Copy below question down before making attempt.

Click if above box appears blank

P5/P6 Math: Fractional Decrease of 2 parties of Equal Starting Ratio with Ending Difference Given

This question presents itself with 2 parties having equal ratio at first and both parties undergo difference fractional decrease. The difference at the end is also given.

Such questions are common in Paper 2 of P5 and P6 test/exam papers.

Calculator usage is allowed.

Pravin and Gary are postal delivery staff and 

have the equal number of packages to deliver in the morning.

By noon, Pravin has delivered ³/₄ of his packages and

Gary has delivered ⁶/₇ of his packages.

Pravin has 24 more undelivered packages than Gary.

How many packages did both have altogether in the morning at first?

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

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. 

Copy below question down before making attempt.

Click if above box appears blank

P5/P6 Math: Fraction of Remaining with Additional Value at the End

Fraction of remaining question types like this requires students to use "Part/Whole Models" to represent the numerators and denominators represented in each of the fractions. 

There is usually a value (of what's left) that is given at the end for students to use it to find the total at first. But this question instead changes what is left by adding a new value to the "left" and compares it with the original total value at the end.

Such questions usually appear in Paper 2 of P5 and P6 exams.

Calculator usage is allowed.

Timmy made some lemonade for his school's open house event.

³/₈ of the lemonade were given out in the morning and ²/₅ of the remaining lemonade were given out in the afternoon.
He made another 33 litres of lemonade in the evening and had 8 more litres of lemonade than what he had at first.

How much lemonade did Timmy make at first?

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: Incomplete Set Method

Set method is a common technique taught from P3.

In P5, the concept of incomplete sets is commonly tested.

Such questions often appear in Paper 2 of P5 and P6 papers

Calculator usage is allowed.

In a market, each kilogram of the tilapia fish is sold at $12.

For every 5kg of tilapia fish bought, the 6th kilogram of tilapia is sold only at $9.

How many kilograms of tilapia was bought if the total price paid was $438?

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

P6 Math: Before and After Percentage Decrease with Value Increase

This "Before and After" question provides the total before and the total after the change.

One of the party undergo percentage decrease while the other party undergo a value increase.

Such questions are common in Paper 2.

Calculator usage is allowed.

At first, there were 180 adults and children in a cinema.

After an additional 24 adults entered the cinema and 25% of the children went home,

there were a total of 179 adults and children in the cinema at the end.

How many adults were there at the end?

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