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P5/P6 Math : Percentage Discount of 2 items with One Discount Known

The question type belows will provide total price of 2 items after discount.
One of the items' discount(amount saved) will be given.

From the information, students will need to find out either the original price of
- item A
- item B
- both items

and/or how much was the discount ( amount not percentage ) given.

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


During the summer sale,
Paul bought a TV and a fan, both at 25% discount.
He paid $930 altogether for both items after the discount.
He paid $50 lesser for the fan because of this discount.

What is the original price of the TV?


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P4 Math: Area and Perimeter of Square and Rectangle with Same Areas or Perimeters

This question type will show 2 shapes, a square and a rectangle.
Either the area or perimeter of both shapes will be the same.

From the values given, lengths or breadths or areas, students must be able to work towards the required answer(s).



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The question below will randomize with different numbers every hour. 
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P5/P6 Math: Overlapping Triangles in a Rectangle

The concept of "Triangles in Rectangle" is commonly tested in P5 once the students have learnt how to find the area of triangles.

Such questions usually appear in P5 and P6 Paper 2.
Calculator usage is allowed.

(Diagram above may not be drawn to scale)

The question below will randomize with different numbers every hour. 
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P5/P6 Math: Starting Ratio and Ending Fraction of Total Given

This question type starts with the ratio of 2 parties given.

One of them undergo fractional decrease and the other one has a numeral decrease.

The remaining, which is a fraction of the total, will also be provided.

Such questions will appear in P5 SA2 and P6 exams Paper 2.
Calculator usage is allowed.

The ratio of money that Charles and David have are in the ratio of 4:5 respectively.
After Charles spent 1/2 of his money on lunch and David spent $28 on a taxi ride,
the total amount they have left is 1/3 of the total amount they had at first.

How much money did both have left at the end altogether?


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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P6 Math: One Party Reduced to Zero with Starting Difference Given

The following question deals with "constant decrease".
The starting difference between 2 parties is known and both parties undergo constant decrease.

One party will be reduced to zero while the other will have some left.

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

Shane have 40 more flyers than Derek at first.
Every minute, Shane gave out 18 flyers and Derek gave out 15 flyers.
When Shane has given away all his flyers, Derek still has 35 flyers remaining.

How many flyers do they have altogether 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. 
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Students may find these question types to be similar.

P5/P6 Math: Sharing the Workload Thus Lesser Time Needed

This question looks like an "Average" question
but it is not simply adding together and divided by 2.

When the job is shared, the time taken will always be lesser as the workload will be shared.

Such questions are common in P5 and P6 exams.
Calculator usage is not allowed.

Carol will need 5 hours to paint her bedroom.
If the room was painted by her father, he will only need 2 hours.

If both Carol and her father were to paint together,
how long will it take for them to paint her bedroom?
(Give your answer in hours using fraction in simplest form)




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The question below will randomize with different numbers every hour. 
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P5 Math : Internal Transfer

This question requires students to be able to visualize a before and after model.

Before and after the transfer between both parties in the question,
the total will not change.

Such question often appears in P5 Paper 2.
Calculator usage is allowed.

Lester has thrice as many lego bricks as Patrick.
After Lester gave Patrick 60 lego bricks,
Lester now has twice as many lego bricks as Patrick.

How many lego bricks do they have altogether?


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The question below will randomize with different numbers every hour. 
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P3/P4 Math: Set Method (Complete Sets without Remainders)

By the end of P3, students will be exposed to set method.

The basic components within 1 set will be given.

Such questions usually appear in from P3 SA2 and in P4 exam papers.

On a farm, there are ducks and pigs.
For every 1 pig, there are 3 ducks.
The ducks and pigs have a total of 80 legs.

How many pigs are there in this farm?



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P5 Math: Average of 2 groups of items

The topic of Average requires students to find out each fair share.

The question type below provides 2 sub-totals, 
from which, students must be able to derive first the total before they can process the average [ aka fair share ].

Such questions can appear in both paper 1 and 2.

Calculator usage is allowed if in Paper 2.

A group of 3 boys have a total of 17 die-cast toy cars.

Another group of 5 boys have a total of 39 die-cast toy cars.

What is the average number of die-cast toy cars owned by each of these 8 boys?


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The question below will randomize with different numbers every hour. 
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P5/P6 Math: Discounted Price inclusive of GST given

This type of percentage question deals with the local Singapore tax system of GST ( aka Goods and Services Tax ), which is currently at 9% ( at March 2025).

A discount is given upon the purchase and the price of the discounted item includes the 9% GST.

Such questions will appear in P5 SA2 in Paper 2 and in P6 exams.
Calculator is allowed.

At a sports store, Alan bought a pair of sneakers at a 25% discount.
Alan paid $176.58, inclusive of the 9% GST, for the pair of sneakers.

What is the original price of this pair of sneakers?




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The question below will randomize with different numbers every hour. 
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P5/P6 Math: Whatever Left is a Fraction of Total

This question type shows the denominator that represents the total are presented differently when used to represent the "fraction of total" that is represents on first item and the "fraction of total" that is left at the end.

Can the denominator that is used to represent the total in both statements be different numbers?

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

In a bag of red, blue, yellow and pink balloons,
2/5 of the balloons are red.
There are 13 blue balloons and 27 yellow balloons.
The remaining 1/10 of the balloons are pink.

How many balloons are there in the bag altogether?


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The question below will randomize with different numbers every hour. 
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P4/P5/P6 Math: Series of Repeating Pattern Numbers or Letters

Patterns are commonly tested since P3 for students to predict the next number in the sequence using Math.

The following question type deals with a repeating pattern of numbers or letters.

Suitable for P4, P5 and P6 students.

Calculator usage will not be necessary.

In a number series below,

1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 .....

a) What would be the 54th digit?

b) From the first digit to the 74th digit,
how many times would the digit "7" have appeared?


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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