P4P5 Reverse Model Drawing (Before and After Fractional Change)

This exercise below aims to help students better understand before and after models by having them look at the already completed models and have them fill in the blanks to the original problem sum description.

While these are not exam questions, they help students to structure their thinking process for the formation of the equations(number sentences) needed to solve such questions.

Given the before and after model above, 
fill in the blanks.

Luke has ___ times as many toy cars as Marvin at first.

After Luke gave away __/__ of his toy cars.

He now has equal number of toy cars as Marvin.

Luke have 13 toy cars at the end.

They have ___ toy cars 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

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

P3/P4 Before and After One Party Unchanged (Start Same, End Multiples)

In such questions, 2 values are being presented to be equal at first.

One of the values undergo a change (add/subtract) and it results with the larger value becoming a multiple of the smaller value at the end.

Before and After questions are staples for P3 and P4 students as they would need to know how to visualize these questions using "Before and After Comparison Models".

Such questions are common in Section C of P3 and P4 exam papers.

Harold and Kumar has the same number of sweets at first.

After Harold ate 45 sweets, 

Kumar now has 4 times as many sweets as Harold.

How many sweets 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

P4P5 Math: Before and After Start Same End Multiples

One of the "Before and After" problem sums where the 2 parties start with equal value.
After each undergo a decrease, one of value remaining is a multiple of the other.

Such questions are common in P4 and P5 exams.

They either appear in Paper 1 of P5 or Section C of P4 papers.

Calculator usage is not allowed.

Evelyn and Kathy each have the same number of stamps at first.

After Evelyn sold 24 stamps and Kathy gave away 100 stamps,

Evelyn now has thrice as many stamps remaining as Kathy.

How many stamps did Evelyn 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: 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

P4 Math: One Party Unchanged ( Advanced )

2 parties "Before and After" comparison questions are staple section C questions in P4 exams.

The following question is a type of "One Party Changed" question.
Such questions are similar to the ones here.

But this version poses a slight challenge when students attempt to solve it via model drawing (comparison models).

Chris has 40 more erasers than Devi at first.

After Devi bought 4 more erasers,

Chris now has 5 times as many erasers as Devi.

How many erasers did Devi 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

P4/P5 Math: Starting Multiples and Ending Multiples After Equal Decrease in Value

"Before and After Comparison Models" are staple for P3 to P6 Math.

The folowing question type presents one party to be a multiple of another at first.

After both undergo an equal decrease in value, the ending comparison is another multiple of one another.

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

Calculator usage is not allowed.

Kenneth has thrice as many baseball caps as Hiroshi at first.

After each gave away 45 caps,
Kenneth still has 8 times as many baseball caps as Hiroshi.

How many caps 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

P4 Math: Before and After Multiples ( One Party Changed ) Advanced

This question is the slightly more advanced version of the "Before and After" model with one party changed. The simpler version can be found here.

Comparison models will need to be drawn to represent correctly on which is the party that changed.

Such questions usually appear in Section C of P4 SA2 exams.

Alan has 3 times as much money as Beth at first.

After Beth spent $18 on lunch,

Alan now has 5 times as much money as her.

How much did Alan have?

Chicken Rice of Singapore

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 Math: Before and After Fractions (One Party Changed)

This question type shows that one of the parties changed, causing the fractional comparison to become different at the end.

The solution requires students to make use of "Before and After" comparison models. 

Such questions are common in P4 exams, often appearing in Section C of the paper.

Abigail has 6 times as many stickers as Belinda.

After Belinda bought 450 more stickers,

Belinda now has ¹/₃ as many stickers as Abigail.

How many stickers 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