P4P5 Math: 2 Different Totals with 2 Different Quantities of 2 Different Items

Such questions presents 2 different type of items, each of different values.

The total of 2 different quantities of 2 items are given.

Without any comparison given, students must be able to make use of the 2 totals given in order to solve.

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

Calculator usage is not allowed.

Similar questions of varying difficulties can also be found here and here.

3 pots and 5 lids costs $25.

4 pots and 3 lids costs $26.

How much does 6 lids cost?

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P5/P6 Math: Different Multiples of 2 Items with Same Total Value (Individual Difference Given)

2 items of different quantities have the same total value.

The difference between each item is also given.

Such questions can appear in both P5 and P6 Paper 2.

Calculator usage is allowed.

3 bottles of soy sauce cost as much as 5 bottles of cooking oil.

A bottle of soy sauce costs $17.60 more than each bottle of cooking oil.

Find the cost of one bottle of soy sauce.

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P4/P5 Math: 2 different total of 2 different quantities given

Questions like these do not provide any comparison between individual items.

The sum of 2 items of different quantities are given.

Students will find it difficult to draw any form of models since there is no comparisons between the 2 unit items.

Such questions usually appear in P4 Section C or P5 Paper 1.

Calculator usage is not allowed.

4 pails and 2 mugs costs $44 altogether.

1 pail and 1 mug cost $12 altogether.

How much does 1 pail cost?

Colourful pails

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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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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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P5/P6 Math: Same Container Filled with Different Fractions of Liquids

Such questions refreshes the concept of P4 constant difference where the student cannot ignore the presence of the container that is holding the items within.

Questions like these usually appear in Paper 1 of P5 and P6 exams.
Calculator usage is not allowed.

Similar versions of this concept with varying difficulties can also be found "here".

A bottle, when completely filled with water, has a mass of 1000g.

The same bottle, when only ¹/₂ filled, is 600g.

a) What is the mass of the empty bottle?

b) What is the mass of the bottle if ¹/₄ filled with water?

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P6 Math: Fractions (Expert Level)

The following question type requires students to be able to look into each numerator and denominator to find a common one to make the same.

Such questions will usually appear in P6 exams in Paper 2.
Calculator usage is allowed.

In a school, ¹/₃ of the male students were absent and

¹/₄ of the female students were absent on Monday.

⁷/₁₀ of all the students were present that day.

There were a total of 440 female students in that school.

How many male students were present on Monday?

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P4/P5 Math: Sum of 2 not given

The following question type is an advance version of "Sum of 2 given".

Instead of giving a sum of 2 (out of 3 items) , the sentences are rephrased in another manner.

Such questions usually appears in Paper 1.
Calculator usage is not allowed.

The students of class 5A, each joined one of these 3 different clubs,
namely, a computer club, a nature club and an astronomy club.

15 students are not members of the computer club.
17 students are not members of the nature club.
12 students are not members of the astronomy club.

How many students are there in class 5A?

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P5/P6 Math: 2 Different Totals with No Comparisons between 2 Different Items

This question provides 2 different totals of 2 different items with different unit values and quantities. But it does not give any other information besides the quantities and the totals.

This question is a more advance version of this question.
(Where 2 different item types and 2 totals are given but no comparisons given between the 2 different items)

Such questions are suitable for P5 and P6.
These questions will usually appear in paper 2.
Calculator usage is allowed.

8 boxes of gum and 5 packs of sweets costs $29 altogether.

2 boxes of gum and 2 packs of sweets costs $8 altogether.

What is the cost of 8 boxes of gum?

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P4/P5 Math: Same Container Holding Different Multiples of Objects

The following question is a P4 and P5 question that does not require a calculator.

The total value of container holding more items is given.

The total value of the same container holding lesser items is also known.

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

Calculator usage is not allowed.

The same concept can also be presented in P6 questions in this manner

A box that holds 8 bars of soap,

has a combined mass of 2400g.

The same box holding 5 bars of soap,

has a combined mass of 1800g.

What is the mass of the box?

How soap is made

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P6 Math: Units and Parts (Fractions of different items) Part 1

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.

In the morning,
there were a total of 387 boys and girls visiting the Science Center.

At 12 p.m. noon,
⁵/₇ of the girls and ⁷/₁₀ of the boys went home.

There were only 114 girls and boys remaining at the premises.

How many girls were there at first? 

Singapore Science Center

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P5/P6 Math: 2 Different Items of Different Unit Value and Different Quantities

This question provides 2 different totals of 2 different items with different unit values and quantities. But it does not give any other information besides the quantities and the totals.

Such questions are suitable for P5 and P6.
These questions will usually appear in paper 2.
Calculator usage is allowed.

6 bricks and 3 cement bags have a total mass of 24 kg

3 bricks and 6 cement bags have a total mass of 30 kg

What is the total mass of 1 cement bag and 1 brick? 

How are housing flats built in Singapore?

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P4 Math: Sum of 2 given

The question type below uses the sum of 2 to describe the relationship between 3 objects.

Such questions often appear in P4 exam papers in Section C.

A more complex version of this question can also be found here.

Abigail, Beth and Candice were given a sum of money to share. The total of Abigail and Beth's share is $35. The total of Beth and Candice's share is $26. The total of Abigail and Candice's share is $31

How much did the 3 girls have altogether?

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P4 Math: Constant Difference

The question type below introduces the concept of constant difference.

Such questions often appear in P4 exam papers in Section C.

In a stationery shop, 3 pencils and 1 notepad costs $10 altogether. A notepad with 5 pencils costs $16 altogether. How much does each pencil cost?

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P6 Math: 3 Parties but only sum of 2 given

The question below usually appear in many schools' Prelim Papers just before the PSLE.

Such questions will appear in Paper 2.  

Calculator usage is allowed.

This question revisits a similar P4 concept here.

Harry and Randall and Patrick made some paper flowers for a charity event.
The number of paper flowers made by Harry and Randall was 290.
The number of paper flowers made by Randall and Patrick was 728.
Patrick made thrice as many paper flowers as Harry.

How many paper flowers did the 3 boys make altogether?

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