P5/P6 Math: Fractions and Ratio vs Repeated Identity

This following fraction/ratio question requires students to be able to identify the repeated identities in order to be able to make sense of the relationship between each ratio/fraction.

A starting ratio is given between 2 items.
Each of the item is then split again into 2 types via fractions.
The relationship between 2 of the split items are given with a comparison statement.
[eg more than, less than ]

Such questions usually appear in Paper 2 of P5 SA2 and P6 exams.

Calculator usage is allowed.


The ratio of boys to girls at the swim meet is 3:2.
1/4 of the boys and 1/3 of the girls are swimming
and the rest are not swimming.
There are 11 more boys than girls, whom are not swimming.

How many boys and girls are there altogether at the swim meet?


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P5/P6 Fractions (Before and After)

The following question type require students to understand what each numerator and denominator represents.

There will be 

fraction of the "total"
fraction of "one type"
fraction of "left"

Such questions usually appear in P5 SA2 and P6 exam papers in paper 2.

Calculator usage is allowed.


There are equal number of gray and brown jackets for sale in the store.
After 1/2 of the gray jackets and some brown jackets were sold,
the amount of jackets remaining was 1/3 of the total number of jackets for sale in the store.

What fraction of the remaining jackets are brown?


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P5/P6 Math: Fraction of Remaining (Intermediate)

The following question type require students to be able to understand "fraction of remaining".

2 fractions are given to represent 2 items
and 2 numbers are given to represent one of the items and the final amount left.

Such questions appear in P5 and P6 exams and will be in Paper 2.
Calculator usage is allowed.

Joe started reading a novel.

He read 2/5 of the novel on Monday.
He read another 58 pages of the novel on Tuesday.
After reading 1/4 of the remaining novel on Wednesday,
he finished reading the last 96 pages of the novel on Thursday.

How many pages were there in this novel?


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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: Perimeter of Multiple Squares/Equilateral Triangles

The question type below is common for P5 and P6 and often appears as the last question of Paper 1.

Calculator usage is not allowed.

Carpenter's ruler



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P5/P6 Math: Revisiting Value and Ratio Differences

This question is a variation of a tough P5/P6 Paper 2 high value question.
(A slightly more complex version of this question can be found here. )

2 different item of different quantities and individual values.

Only 4 information/numbers are given,

Namely

1) Total value of both items

2) Ratio between the quantity of both items

3) Individual value difference between both items

4) Total value difference between both items

Calculator usage is allowed. 


Tom has marbles placed in blue and red boxes.

The number of blue to red boxes is in the ratio of 7:6 respectively.
Each blue box contains 6 less marbles than a red box.
There are a total of 3834 marbles in both type of boxes.
The number of marbles in all the red boxes is 54 more than
all the marbles in the blue boxes.

How many marbles are there in each red box?


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P3/P4 Math: 3 Party Comparison Model Drawing ( within a same sentence )

Comparing 3 parties with 2 separate sentences is common in P3.

There are 13 more green than red ribbons.
There are 10 more blue than green ribbons.


In the later part of P3 and onto P4,
students are required to know how to draw comparison models with a single sentence such as one below.

Mark has 15 more cards than Reuben and 11 less cards than Bernard.
Who has the most and who has the least cards?



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P3/P4 Math: Reverse Model Drawing

To assist P3 and P4 Math students with comparison model drawing,
such visual aids may be useful.

Instead of having them draw the model, 
have them fill in a partially drawn model first.

If the student is able to fill in all the missing boxes, the model should be able to instruct them on how to find the answer.


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P5/P6 Math: Amount of Money Spent and Left of 2 Different Parties with Comparisons

This question type deals with 2 parties with a total sum of money.

There is a comparison with multiples on the amount of money spent between the 2 parties.
The amount of money left is also compared using multiples.

Such questions are suitable for P5 and P6.
These questions will usually appear in paper 2 in P5 SA2 and P6 papers.

Calculator usage is allowed.

Karlie and Lenny had a total of $1335.50 at first.

Karlie spent 4 times as much money as Lenn
y.

The amount of money that Lenny had left 
was $15 more than what he had spent.

The amount of money that Karlie had left was 
half as much as what Lenny had left.

How much did both have left altogether at the end?

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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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P5/P6 Math: Overlapping Shapes and Areas

Such questions usually appears in P5 Paper 2 after students have learnt ratio.
These questions are also common for P6 exams.

Calculator usage is accepted.

"Equal Fraction" concepts and "Ratio" concepts are required to solve this question.

Overlapping tiles

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Diagram above may not be drawn to scale



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