Showing posts with label start difference. Show all posts
Showing posts with label start difference. Show all posts

P5P6 Math: Before and After (Starting Difference, Ending Fractional Comparison with Total)

This is a common MCQ question in Paper 1 where the difference between 2 values are given at first.
Each value is added with a different number and it ends with a fraction of total given, representing one of the values, at the end.

Such questions appears in P6 Paper 1 of Mid Year WA.
Calculator usage is not allowed.

Brett has $29 more than Aaron at first.
After Brett was given another $30 and Aaron was given $25,
the total amount of money Brett has is 3/5 of the total amount of both boys.

How much did Aaron have at first?


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P5P6 Math: Starting Difference Given with Both ending Equal at the End

This type of question begins with a value given(usually the difference between 2 parties).
Each of the value undergo fractional decrease and both ends up to be equal in the end.

Such questions are common in Paper 2 of P5 and P6 Math exams.
Calculator usage is allowed.


Rachel has $105 more than Phoebe at first.
After Rachel spent 2/3 of her money and Phoebe spent 1/4 of her money,
both girls have equal amount of money left.

How much did Rachel spend?




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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?


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P5 Math: Internal Transfer (Quick Revision Practice)

Such "Internal Transfer" questions starts with the difference given.
The "giver" can either the one with more or less at first.
Students must be able to know the final difference between the 2 values at the end.

These questions usually appear in Paper 1 of P5 WA1 or WA2.
Calculator usage is not allowed.

Isabelle has 150 more books than Carol at first.
After Carol gives 10 books to Isabelle,

how many more books will Isabelle have than Carol?


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P4 Math: Before and After : Start with More, Ends with Equal

This question type is a "Before and After" comparison which starts with one party have more items than the other.

After one party undergo a decrease and the other having an increase, both parties ends up with the same items.

Students are required to use "before and after" comparison models to represent what they understand from the given values.

Such question often appear in Section C of P4 exams.

At first, Alan has thrice as much money as Ben.
After Alan spents $30 and Ben received $20 from his mum,
both boys have equal amount of money remaining.

How much did Alan have at first?



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P4 Math: Internal Transfer ( Ending Difference )

Internal Transfer where the total remains the same and the ending difference is given.

Such questions are common in Section C of P4 papers.

Alex has $244 and Ben has $1200.

How much must Ben give Alex so Alex will have $20 more than Ben?


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P5/P6 Math: Before and After ( Starting Difference with Ending Ratio)

Such questions are common for P5 and P6 exams.
Where the starting difference is known and the ending ratio is given after some numerical increase/decrease is applied to both parties.

As these appear mostly in Paper 2,
calculator usage is allowed.

A similar "before and after" type question can also be found here.

Eric has 450 more items listed on his online store than Kelvin.
After Eric sold 45 items and Kelvin listed 3 more items for sale,
the ratio of Eric's items for sale to Kelvin's items for sale became 3:2.

How many items did both have listed for sale at first?



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

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P3/P4 Math: Internal Transfer (Make Equal)

"Total unchanged", more commonly known as , "Internal Transfer", requires students to draw "before and after" comparison models in order to solve "visually"

Such questions usually appear in Section C of P3 and P4 exam papers.

Janice has 225 candy bars and Kenny has 99 candy bars.
How many candy bars must Janice give Kenny
so both will have the same number of candy bars?


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P4/P5 Math: Internal Transfer (Ending with Multiples)

 Questions like these are common up to P5 and P6.

The starting difference between 2 parties is given.
There is an internal transfer and one party is a multiple of the other party at the end.
Similar question type on internal Transfer "here".


Reiney has $100 more than Keith at first.
After Reiney gives Keith $5,
Reiney now has 6 times as much money as Keith.

How much did Reiney have at the end?

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


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P3/P4 Math: Before and After Model (Reverse Model Drawing)

With problem sums getting more complex as student progresses from P3 to P4, it will be difficult for the students to read the question and be able to draw the models required.

Hence, the "Reverse Model Drawing" method.

This method allows them to see the models first, and use it to decipher the question being asked instead.

With this approach, the student get to see the models already drawn and use it to fill up the gaps in the question being asked.

Once students have sufficient practice, they will be able to read the question and draw the comparison models independently.


Uno Reverse Cards



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P3 Math: Before and After (Basic)

The question type introduces P3 students to the "before and after" concept.

Drawing of comparison models is absolutely necessary to demonstrate understanding and comprehension of the story.

One of the models will remain unchanged.

Such questions are of higher value and will be in Section C of P3 SA1 or SA2.

Steven have $97 more than Elise at first.
After Elise spent $12 to buy some snacks,
Steven still has twice as much money as her.
How much money did both have altogether at first?

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P4 Math: Before and After (Difference Unchanged)

The question type below deals with "P4 before and after" comparison models.
As both parties are subtracting the same amount, 
the difference between the 2 parties remains the same. (Constant Difference)

Such questions often appear in P4 exam papers in Section C.

Students may find this question "here" to be similar to the ones below.

Lily has 110 more postcards than Kelly at first. After both girls gave away the same number of postcards, Lily has 6 times as many postcards remaining as Kelly.

How many postcards did Kelly have at the end?

The earliest known picture postcard was designed and mailed out from London, England

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P3/P4 Math: Before and After Basic (Twice , Thrice and 4 times)

The question type below deals with "before and after" comparison models.
One of the models will remain the same.

Such questions often appear in P3/P4 exam papers in Section C.

Kenny have 64 tickets more than Lawrence at first
After Kenny sold 10 tickets,
Kenny still has thrice as many tickets as Lawrence.
How many tickets does Lawrence have?

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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