P5P6 Math: Value and Multiples and Differences

This is a question type that will provide 4 of the listed information below for 2 different items of different quantities,

1. Total value of 2 items
   
   
2. Difference between 2 item's totals
   
   
3. Unit Difference between 2 items
   
   
4. Multiples of 1 item compared with another 

Similar questions using ratio to represent the multiples can also be found here and here.

Such questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed

Samy bought thrice as many books as pens.

He spent a total of $3850 on all the books and pens.

Each book cost $5 more than each pen.

He paid $2030 more for all the books than for all the pens.

How many books did Samy buy?

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: Revisting Before and After Ratio ( Both Parties Change )

This question type is similar to the one posted here.

There are 2 values being compared using ratio and each of them undergo addition or subtraction and the ending ratio is also provided.

Such questions are common in Paper 2 of P6 exams.

Calculator usage is allowed.

Eric and Tyra were given money by their father in the ratio of 7:2. 

After Eric spent $165 and Tyra was given $210 more, 

the ratio of Eric to Tyra's money at the end became 2:7. 

How much did Tyra have 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 Math: Advance Assumption with 3 variables consisting of 1 accumulation and 2 deductions

In a former "Assumption Method" example shown here, the element of "deduction" is introduced and students will have to use a slightly different way to address the "deductions" when performing calculations using the "Assumption" method.

This question type below, requires students to be able to handle another variable and remove it from the total number of marks before using the "Assumption" method(with subtraction).

Such questions are now common in P5 SA2 Paper 2.

Calculator usage is allowed.

Alison took Mathematics Quiz containing 40 questions.

For each correct answer, 3 points will be awarded.

For each wrong answer, 2 points will be deducted.

For each question without answer, 1 point will be deducted for a blank answer.

Alison scored a total of 64 points with 9 questions that she left blank.

How many questions did Alison answer correctly?

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 Math: Percentage and Ratio to describe 3 Values

Once students are taught percentage and ratio, these 2 concepts can be presented in the same problem sum such as the one below.

Students must make use of the "repeated identity" method to solve.

Such questions are common in WA2 and SA2 of P5 exams.

Calculator usage is allowed.

There are oranges, pears and apples for sale at a fruit stall.

15% of the fruits at the stall are oranges.

The ratio of pears to apples at the stall is 12:5.

There are 150 more apples than oranges at the stall.

How many fruits are there altogether at the fruit stall?

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: Before and After Fractional Change with Starting Difference (Advanced)

The question below require students to be able to split up 2 different quantities with the starting difference given.

Each unknown quantity is needed to split up to its corresponding fractions.
The difference between the 2 quantities at the end is given.

A similar variation of this question can also be found "here".

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

Harry has 45 more pencils than Matthew at first.

After Harry sold ¹/₃ of his pencils and Matthew gave ¹/₂ of his pencils away,

Harry has 80 more pencils than Matthew at the end.

How many pencils did both 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. 

Copy below question down before making attempt.

Click if above box appears blank

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?

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: 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. 

Copy below question down before making attempt.

Click if above box appears blank

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?

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: 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?

If the above question is easy, try to do the more challenging question below.

The questions below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if the above box appears blank

Click here to seek for answer

P3/P4 Math: Set Method (Equal Quantity)

The question below deals with "sets" with equal quantities of 2 items.
(each with different value)

Such questions are common for P3 SA2 and P4 SA1/SA2.

Patrick was given the equal number of $2 notes and $5 notes.

The $2 and $5 has a total value of $98.

How many $5 notes was he given?

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

P3 Math: Comparisons Between 2 Parties

Questions like the ones below are designed to improve P3 student's proficiency in drawing comparison models and placing the correct values in different parts of the model.

Once students can draw such models and place the values at the correct parts of the model, the comparison model will actually help them to be able to write down the number statements required.

Basic foundation of such model can also be practiced at this link below.

P3 Math: Comparison Model Drawing Exercise (More Than/Less Than)

Alan and Beth have 95 vuvuzelas altogether.

Beth has 35 vuvuzelas.

How many more vuvuzelas does Alan have than Beth?

What is a vuvuzela?

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

P3 Math : TRUE or FALSE or NOT POSSIBLE TO TELL?

This question type is getting popular with the upper primary Math exams.

It will require both arithmetic and logic to try to check(tick) the correct boxes.

An example of such question will look like this.

Ben, Chris and Dave have a total sum of $70.

Ben has $50.

Put a tick in the correct boxes.

Statements	TRUE	FALSE	NOT POSSIBLE TO TELL
Chris and Dave have a total of $20
Ben and Chris have a total of $60

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

Click here to register for Mr Neo's class

P5 Math: Assumption (Advance)

This P5 version of "Assumption" method is different because there is a deduction of value.

This question usually appears in paper 1 for P5 mid-year SA1 or SA2.

Calculator usage is not allowed.

Mr Guetta is a delivery rider.
He delivered 15 parcels on Monday.

For each parcel delivered on time, he will earn $5.
For each parcel delivered late, $3 will be deducted.

He received $59 for the parcels delivered on Monday.
How many parcels were delivered late?

How are mail sorted at the post office?

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

Click here to register for Mr Neo's class

P4 Math: Assumption

This question type is identical to "Guess and Check" which students have learnt in P3.

But in P4, a mathematical method is preferred to using a Guess/Check table.

The "Assumption" method is a required skill in P4 onwards

Such questions will begin to appear in P4 WA1 or SA1 in Section C.

In a carpark of 30 cars and motorcycles,

these vehicles have a total of 100 wheels.

How many motorcycles are there in this carpark?

What goes on at a car manufacturing plant?

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

Click here to register for Mr Neo's class

P5 Math : Same Capacity to Hold 2 Different Items

The question type below deals with a container with limited space for both items.
Such questions are common in P5 SA1 and SA2 and appears in Paper 1.

No calculator allowed.

A school bus can board either 20 adults or 28 children. After 5 adults boarded the empty bus,

how many more children can this bus take?

Why are school buses in America painted yellow?

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: Catching up by Adding More every time

The question below starts with 2 parties, one with more and one with less.

The one with less will add more each time in order to catch up with the one with more.

Such question will usually appear in P6 and will appear in paper 2.
Calculator usage is allowed.

Hannah have a collection of 45 seashells and

Oliver have a collection of 72 seashells at first.

Each week, Hannah will add 9 seashells to her collection and 

Oliver will add 6 seashells to his collection.

How many weeks will it take Hannah to have the same number of seashells as Oliver?

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 questions down before making attempt.

Click if the above box appears blank

Click here to register for Mr Neo's class

P5 Math: Lesser Number of Shares Increasing Cost of Each Share

The question type below deals with equal share with total unchanged.
But each share increases due to lesser number of people sharing the total.

P5 SA2 type question for Paper 1.

No calculator allowed.

5 girls shared to buy Alvin a watch for Christmas. One of the girls calculated wrongly and divided the cost of the watch by 6. Because of that, each girl's share became $8 lesser. How much was this watch?

How do automatic watches work?

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

Click here to register for Mr Neo's class

P5/P6 Math: Revisiting Fractions of Equal Value

The question below deals with the concept of equal value fractions.
Such questions will appear in exams once after ratio techniques are taught in P5.

Similar Fractions of Equal Value questions can also be found here

Calculator usage is allowed.

In a school canteen, there were 37 more boys than girls.

³/₇ of the boys and ²/₅ of the girls wore spectacles.

An equal number of boys and girls do not wear spectacles.

How many children were there at the canteen altogether?

Natural ways to improve your eyesight without surgery

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

Click here to register for Mr Neo's class