P6 Math: 3 Different Fractions of 3 Different Totals

This question type shows 2 fractions of 2 different totals.

The 3rd fraction shows the relationship between the 2 numerators above.

Such questions are common in Paper 1 of P6 Exams(Mid Year and Prelims)

Calculator usage is not allowed.

Mr Teo owns an aquarium that sells goldfish and guppies.

On a particular day, he sold ¹/₃ of the goldfish and ⁵/₁₁ of the guppies.

⁸/₁₃ of the fish sold that day were goldfish.

What fraction of all his fish were sold that day?

                                                1)    ²⁶/₃₃

                                                2)    ²⁶/₃₅

                                                3)    ¹³/₃₅

                                                4)    ⁶/₁₁

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P6 Math: Bill shared by 3 people but one of them paid first

A bill is shared equally by 3 people whom have different amounts of money at first.

This is a very unique question that requires students to make use of "Total Unchanged" to visualize the models between all 3 parties.

Such questions usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Mary, Roger and Ken shared the cost of a gift for their father equally.

If Mary paid for the gift first, the amount she have remaining will 

be ⁴/₉ of the amount of what Roger have at first. 

If Roger paid first, the amount he have remaining will 

be ¹¹/₁₅ of the amount of what Mary have at first.

If Ken paid first, he'd have no money remaining.

If Roger had $126 more than Mary at first,

how much did the gift cost?

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P4/P5 Math: Arranging Fractions in Ascending or Descending Order

Fraction comparison are often tested by having students arrange 3 different fractions in ascending(smallest to biggest) or descending(biggest to smallest) order.

To compare and ascertain which is the biggest, student can either make numerator the same or denominator the same. When comparing different numerators of fractions(with same denominator), the biggest numerator is the biggest fraction. But when comparing different denominators of fractions(with same numerator), the opposite will have to apply.

Such questions are common in P4 and P5 exams.

Calculator usage is not allowed.

Arrange these fractions in ascending order

2 ⁴/₇ , ¹⁸/₉ , ⁹/₄    

__________  ,  __________  ,  __________

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P6 Math: Different Percentage Discounts causing Different items to be Same Price

2 different items for sale at different discount percentages but has the same price after their respective discounts.

Such questions are common in Paper 2 of P6 Prelims and PSLE papers.
Calculator usage is allowed.

A pen was for sale at a 15% discount and a vase was selling at a 20% discount.
Both items were sold at the same price after the discount.

Lisa wanted to buy both discounted items but was short of $36.

If she only bought the pen at the discounted price, she'd have $100 left.

How much more will she need if she were to buy both items without discount?

An intricate antique Chinese vase

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P6 Math: An Impossible Fractional Transfer

The question below poses an impossible fractional split if students try to draw models and split up the apples fractionally.

Such questions require deeper understanding of before and after "Ratio" models and "Internal
Transfer".

As these questions usually appear in P6 Paper 2,
calculator usage is acceptable.

Alan has 160 more magazines than Pete.

After Alan gave ¹/₉ of his magazines to Pete,

he now has 4 times as many magazines as Pete.

How many magazines do they have altogether?

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P4/P5 Math: Fractions along a Number Line

Fractions is a staple topic of P4, P5 and P6.

Questions like these require students to be able to see fractions along a number line with various deviations between 2 fractions.

Such questions usually appear in Paper 1 of P5 exams and Section B of P4 exams.

Calculator usage for P5 and P6 students is not allowed.

Ants forming a line as they head back to their nest

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P6 Math: Comparing Percentages of 2 Different Totals

Though 2 percentages are being compared, each percentage represents part of a different total. Such questions are similar to fraction comparisons of 2 different totals ( where the denominator represents 2 different totals )

Questions like these can appear in Paper 2 of P6 exams.

Calculator usage is allowed.

More of such questions "here".

There are men and women queuing to enter a new mall in Jurong.

50% of all the men in the queue are equal to 200% of all the women in the queue.

There were 36 more men than women in this queue.

How many women were there in this queue?

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P6 Math: Fraction of one is more than Fraction of another

This question compares a fraction of one value with a fraction of another.

The difference between the 2 fractions of different totals and their total are values that are given.

Such questions are common in Paper 2 for P6 mid year exams.
Calculator usage is allowed.

Alfie and Brad spent a total of $802 at the arcade.

¹/₄ of the amount that Alfie spent was $41 more than ¹/₇ of what Brad spent.

How much more did Brad spend than Alfie?

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P5/P6 Math: Comparing Fractions with a Whole Number

Being able to compare fractions requires quite a few skills.

- Comparing with "HALF"

- Comparing with "ONE WHOLE"

- Comparing Numerators when "DENOMINATORS ARE THE SAME"

- Comparing Denominators when "NUMERATORS ARE THE SAME"

The following question requires students to be able to compare 4 fractions with a whole number to determine which is the nearest fraction.

The key to find correct nearest/closest fraction is by looking at the "difference" or the "gap"

Such questions appear in Paper 1.

Calculator usage is not allowed.

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P6 Math: Units and Parts (Fractions of different items) Part 2

This question uses 2 different fractions to represent 2 different groups of items. 

Each denominator represents a different total.

Such questions are referred to as "units and parts".

A similar version of the question can also be found "here".

These questions will usually appear in P6 Exams Paper 2 and often appears in P6 Prelims.
Calculator usage is allowed.

650 children visited the Singapore Zoo on a Sunday morning.

By 3pm, ⁴/₅ of the girls and ³/₄ of the boys left the zoo and went home.

There were 58 more girls than boys whom stayed on at the zoo after 3pm.

How many girls were there at the Zoo on Sunday morning at first?

World's Best Rainforest Zoo

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P6 Math: Fraction of One Number is a Multiple of Another Number (Advanced)

The question below compares between 2 different numbers.

An "improper fraction" of the first number is a "multiple" of the second number.

Such questions usually appear in Paper 2.
Calculator usage is allowed.

Similar variations of this question can be found "here".

⁵/₃ of Brandon's marbles is equal to 4 times of Chris' marbles.

Brandon has 56 more marbles than Chris.

How many marbles do they have altogether?

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