P6 Math: Before and After Average Expert (Average Decreased after some left)

The meaning of "Average" is 

"the number that is calculated by adding quantities together and then dividing the total by the number of quantities" 

according to Britannica dictionary.

For this "Before and After" Average question type, the total is not given and the average decreased if some parties were excluded from the count.

This question is very similar to another one published here.(where the average increased instead). More of such "before and after average" questions here.

Such questions are common in P6 Prelim Paper 2.

Calculator usage is allowed.

A group of girls have an average of 66 stickers in their collection.

If 3 girls with an average of 70 stickers stickers were excluded from the group,

the remaining girls will have an average of 64 stickers instead.

How many girls were there in this group?

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

P4P5 : Internal Transfer Multiples (More Became Less)

This question type is very similar to the one with external transfer where the one with more became the one with less.

This one, however, is internal transfer, where the larger value gives away to the smaller value until the smaller value becomes the bigger one.

Such questions will appear in Section C of P4 exams and Paper 1 of P5 exams.

Calculator usage is not allowed.

Kieran has thrice as many marbles as Irwin at first.

After Kieran gave Irwin 75 marbles,

Irwin now has twice as many marbles as Kieran.

How many marbles did Kieran 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

P4P5 Math: Before and After Multiples (More became Less)

This type of question is a "Before and After" where the one with more, became the one with less after an external transfer.

This question requires students to draw "before and after" comparison models in order to visualize the problem sum.

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

Calculator usage is not allowed

Another one of more difficulty that deals with "internal transfer"

Jenny has twice as much money as Kelly.

After Jenny spent $36 on a durian, 

Kelly now has twice as much as Jenny.

How much did both girls 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

P6 Math: Before and After Average Expert (Average Increased after some left)

Average is about equal sharing. 

When the average is given but not the total number of parties to be shared with, the question becomes more complex.

Such "before and after" average questions will often appear in Paper 2 of P6 Prelim exams.

Calculator usage is allowed.

More of such before and after Average questions here and here.

Class 6C took a Math test recently and the class scored an average of 81 marks.

If the results of 4 students with average of 64 marks are excluded, 

the remaining students will have an average of 83 marks for this test.

How many students are there in class 6C?

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: Before and After (3 changes to percentage between 2 values)

This question type show the percentage changes at every step of the "internal transfer" that happens between 2 values.

Such questions are common in Paper 2 of P6 Prelim exams.

Calculator usage is allowed.

Shane and Kirsten have a total of $8640 at first.

Shane gave Kirsten some of his money and Kirsten's amount increased by 60%.

Kirsten then gave Shane some of her money and Shane's amount increased by 30%.

Then, Shane gave Kirsten some of his money and Kirsten's amount increased by 80%.

Both had equal amount of money in the end.

Find the percentage increase of the amount of Kirsten's money.

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: Speed and Time differences given

As the syllabus refreshes itself in 2026, P6 students will no longer need to learn Distance, Speed and Time from the year 2026 onwards.

Such questions will go down in history as what the former generation of 12 year olds have learnt and were able to solve(2025 and before).

The question below provides 2 possible speeds and 2 timings (of lateness) between the faster and slower speeds.

These questions were common in Paper 2 of P6 Prelims.

Calculator usage is allowed.

Brenda is driving to meet her friend at a specified time.

If she travels from her home and drives at constant speed of 80km/h, 

she will be 20 minutes late.

If she drives at a constant speed of 60 km/h, 

she will be late by 45 minutes.

What is the distance she had to travel to meet her friend?

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

P4/P5 Math: Spend and Left after buying 2 items (multiples of each other)

This question type requires students to draw comparison models and also a part/whole model to visualize the problem sum.

Such questions are common in WA2 in P4 exams and also Paper 1 in P5 exams.

Calculator usage is not allowed.

Steffi has $77 to spend at the mall.

After she bought a book and a camera, she has $14 left.

The camera costs thrice as much as the book.

How much was the book?

Vintage camera

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: Circle with a Square (2 identical isosceles triangles)

This is a circle question that also requires knowledge of triangles and squares.

The radius is not given but the area of the square or triangle is given.

Students will find it difficult to find the area of the circle due to the missing radius.

Such questions appear in Paper 2 of Prelim papers.

Calculator usage is allowed.

An oil drum cylinder has a circular base
but is a rectangle when viewed from the side

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click  if above box appears blank