P5/P6 Math: Exchange until One Party becomes Zero

This question type requires students to work backwards to derive the initial number of both items at first.

A total of 2 different items are presented at first.

One of the items will be replaced with a multiple of the other item.

This is repeated until all of the items are now the same type.

Such questions are common in Paper 1 of P5 and P6 exam papers.

Calculator usage is not allowed.

Danielle has a total of 48 erasers and pens.

After trading each of her pen for 5 erasers,

she now has a total of 72 erasers after trading all her pens.

How many pens does she 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

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. 

Copy below question down before making attempt.

Click if above box appears blank

Students may find these question types to be similar.

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

The question type below deals with 2 parties with different ratios given at the start.
Each will have different amount deducted every instance until one party reaches zero.

Such questions often appear in P6 paper 2 during SA1 and prelim.

Calculator is allowed.

Geraldine has red and blue pins in the ratio of 3:4 respectively.

For every 5 red pins she used, 3 blue pins will also be used.

After all the red pins were used, there were 132 blue pins remaining.

How many red and blue pins did Geraldine have altogether at first?

20 of the most visited countries in the world

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

Students may find these question types to be similar.

P6 Math: One Party Reduced to Zero

The question type below deals with 2 parties with different totals at the start.
Each will have different amount deducted every instance until one party reaches zero.

Such questions often appear in P6 paper 2 during SA1 and prelim.

Calculator usage is allowed.

At a fruit stall, there were some apples and oranges to be sold.
If the number of apples sold were 4 times the number of oranges sold,
there will be 5 apples left unsold after all the oranges were sold.
If the number of oranges sold were 4 times the number of apples sold,
there will be 35 apples left unsold after all the oranges were sold.
How many apples and oranges were there 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

Students may find these question types to be similar.