Showing posts with label comparison model. Show all posts
Showing posts with label comparison model. Show all posts

P4/P5 Pie Chart (Fractions of Different Denominators)

These questions shows that the Pie Chart have 3 sections and each section is denoted by a fraction with its own unique denominator.

Students have to make use of common denominator so all the sections' fractions add up to become one whole.

Such questions are common in Section C of P4 exams and also in Paper 1 of P5 exams.
Calculator usage is not allowed.

More similar questions on Pie Charts here.

Is this a Pie Chart or a picture of a pyramid?



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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. 
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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. 
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P5P6 Math: Before and After (One Party Change) Fractional Comparison

Such questions are very similar to before and after "ratio" comparison where only one of the values changed, but the ratios are expressed using fractions. 

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

Similar Ratio (One Party Change) questions can be found here.

Ben and Lenny each have some baseball cards.
At first, Ben has 2/5 as many cards as Lenny.
After Ben bought 36 more cards,
Ben has 2/3 as many cards as Lenny.

How many cards did both boys 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.


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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.


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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. 
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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. 
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P4/P5 Math: Pie Chart(Intermediate)

Pie Charts taught in P4 will require students to understand the meaning of the 90 degree and what fraction(of the total) the right-angled piece represents.

This question is slightly more complex and will require students to understand the comparison between the different parts of the pie chart(besides knowing that 90 degrees represent a quarter of the total)

Such questions usually appear in Section C of P4 exam papers.
P5 and P6 students can use this as extra practice for Paper 1 as well (no calculator usage).

An easier version of Pie Chart questions can also be found here.



The question below will randomize with different numbers every hour. 
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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?


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.


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