P4/P5 Math: Fraction of Total remaining

"Fraction of total" and "Fraction of remaining" are common Fraction problem sums in P5 and P6 Math.

While the word remaining is used here, it is not representing the "fraction of remaining".

A value and fraction of total was used and what remains is a fraction of the total.

Simple model drawing can be used to solve this fraction problem sum.

Such questions usually appear in Paper 1 of P5 papers or Section C of P4 papers.

Calculator usage is not allowed.

Sally read 60 pages of a book on Thursday and read ¹/₈ of the book on Friday.

She completed reading the remaining ¹/₄ of the book over the weekend.

How many pages has this book got?

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

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P5 Math : Multiples in Boxes

The following question type is common in Paper 1. 

Students often mistake such question as a tedious multiplication and division exercise but the question is only worth 1 or 2 marks and it is a testing the ability of students to see multiples.

Calculator usage is not allowed.

Ben has 25 boxes of shoes.

Each box contains the left and right shoe (2 shoes in a box).

He has 7 boxes of shoes in the storeroom and the rest of the shoes are in the living room.

How many boxes of shoes are in the living room?

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P5 Math: Set Method (Total Given)

Set method, often confused with assumption, because the total value is given.

Students need to differentiate between the 2 by noticing that the total quantities of both items were not given, hence not able to "assume".

Such "Set" questions often appear in Paper 2 of P5 exam papers.

Calculator usage is allowed.

More of such P5 set questions here.

Greg bought 5 times as many toy cars as toy trucks.

Each toy car costs $2 and each toy truck costs $5.

He spent a total of $120 of all the toy cars and toy trucks.

How many toy cars did Greg buy?

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The question below will randomize with different numbers every hour. 

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P3/P4 Math: Area and Perimeter of Rectangles with missing Length

Area and perimeter of squares and rectangles are taught in P3 and P4.

Students will need to remember the formulas needed to calculate the areas and perimeters of rectangles using the "Length" and "Breadth".

For the following question type, the area or perimeter of the rectangle is already given together with the breadth. Students must find the missing "length" before attempting to solve for the perimeter or area of the rectangle.

A similar version of this question for "squares" can be found here.

The questions below will randomize with different numbers every hour. 

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P5/P6: Ratio : Difference Unchanged (Age)

Age comparison questions are common in P4 but in P5 ratio will be used(instead of fractions or multiples) to compare the ages.

These questions requires the concept of "Difference Unchanged".
Similar questions can be viewed here.

Such before and after questions will usually appear in Paper 2 of P5 exams.

Caculator usage is allowed.

The ratio of Hannah's age to Grace's age was 5:6 at first.

10 years ago, the ratio of their age was 5:8.

How old is Grace now?

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The question below will randomize with different numbers every hour. 

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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?

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 Math: Shaded/Unshaded Fraction of Figure

A figure with constructed of multiple boxes is partially shaded.

Student will need to be able to count the boxes shaded or unshaded and write it as a fraction of the total. Students are expected to know how to write these fractions in simplest form and also to write down the correct numerator that represents either the shaded or unshaded region ( based on what the question is asking for.

This question often appears in Section B of P4 exams.

What fraction of the pie has been removed?
What fraction of the pie is remaining?

The questions below will randomize with different numbers every hour. 

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For more practice, students may try the one below as well

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