P5/P6 Math: Angles in Triangles and Square Overlapping

Learning Angles begins in P3 where students learn that the right-angle exists in squares and rectangles and in between 2 perpendicular lines.

Once they reach P5, the students will learn more about triangles and parallel lines (within 4-sided figures).

Such questions involving both squares and triangles in a figure will require several rules(concepts) in order to find out the angle needed.

A "set square" is actually a "triangle"

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 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

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: Overlapping Shapes with Ratios

The following question presents 2 shapes that are overlapping each other.

Such overlapping shapes questions often appear in P5 SA2 and P6 Paper 2.
Calculator usage is allowed.

The comparison of each whole shape's area with another is respresented using a ratio.
The ratio of the are that is not overlapping each other is also provided.

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Diagram may not be drawn to scale

Click if above box appears blank

P6 Math: Fraction of one is more than Fraction of another

This question compares a fraction of one value with a fraction of another.

The difference between the 2 fractions of different totals and their total are values that are given.

Such questions are common in Paper 2 for P6 mid year exams.
Calculator usage is allowed.

Alfie and Brad spent a total of $802 at the arcade.

¹/₄ of the amount that Alfie spent was $41 more than ¹/₇ of what Brad spent.

How much more did Brad spend than Alfie?

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: Comparing Fractions with a Whole Number

Being able to compare fractions requires quite a few skills.

- Comparing with "HALF"

- Comparing with "ONE WHOLE"

- Comparing Numerators when "DENOMINATORS ARE THE SAME"

- Comparing Denominators when "NUMERATORS ARE THE SAME"

The following question requires students to be able to compare 4 fractions with a whole number to determine which is the nearest fraction.

The key to find correct nearest/closest fraction is by looking at the "difference" or the "gap"

Such questions appear in Paper 1.

Calculator usage is not allowed.

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: Before and After Age ( Multiples given at First and Total give at the End)

Such questions about age, requires students to understand that the age gap remains constant (ie constant difference) and that both ages need to add (or subtract) the same amount when talking about the number of years to the future (or the past).

A comparison using multiples will be given at first.
A total of the sum of the ages is also provided at the end (either a few years into the future or to the past).

Such "before and after" questions usually appear in Section C of P4 and Paper 1 of P5.
Calculator usage is not allowed (for P5).

Similar questions such as this(but not dealing with age) can also be found "here".

Ben is thrice as old as Alan now.

In 3 years time, Ben and Alan have a total combined age of 54.

How old is Ben now?

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: Starting Total Known and Ending Ratio Given

Ratio question, such as the one below, starts off with a known total and ends with a given ratio.

Before and After questions, like these, will require students to work backwards.

Such questions usually appear in P5 and P6 Paper 2.
Calculator usage is allowed.

Similar questions of this type can also be found here.

Mr Kwok has a total of 350 guppies and terrapins for sale in his aquarium.

After selling ¹/₇ of the guppies and 80 of the terrapins, 

the ratio of the guppies and terrapins unsold is in the ratio of 3:1 respectively.

How many terrapins were there left in the aquarium?

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: Stacked Models (Different Quantities of Equal Total Value)

Questions like these will require students to use stack models to compare 2 different items.

Different quantities of 2 items will present itself as having the same value.
The total of uneven multiples of both items will be given.

Such questions can appear in Paper 2 of P5 and P6 exams.
Calculator usage is allowed.

3 pies costs as much as 5 muffins.

Adam bought 9 pies and 12 muffins and spent $324 altogether.

How much will 10 pies cost?

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: The Gap between Fraction of Total and Fraction of Total Left

Fraction problem sums like these do not provide the value of the total (at the start) nor the left (at the end) but provides a value that fills up the gap between 2 fractions [ fraction of total and fraction of total that is left ].

Model drawing is the preferred method to solve such questions.

Such questions usually appear in P5 and P6 Paper 2.
Calculator usage is allowed.

Bebe made some lollipops.

She gave ¹/₃ of her lollipops to her classmates.

She gave 60 lollipops to her cousins.

She was left with ²/₅ of her lollipops.

How many lollipops did she give her classmates?

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: Before and After Fractional Change with Starting Difference (Advanced)

The question below require students to be able to split up 2 different quantities with the starting difference given.

Each unknown quantity is needed to split up to its corresponding fractions.
The difference between the 2 quantities at the end is given.

A similar variation of this question can also be found "here".

Such questions will appear in P5 SA2 and P6 Paper 2.
Calculator usage is allowed.

Harry has 45 more pencils than Matthew at first.

After Harry sold ¹/₃ of his pencils and Matthew gave ¹/₂ of his pencils away,

Harry has 80 more pencils than Matthew at the end.

How many pencils 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

P5 Math: Before and After Fractional Change and Deduction

This is a slightly more complex version of the P4 Question "here".

This question requires students to draw "Before and After" comparison models.

Calculation using long division will be impractical due to the large divisor.
Thus question shows itself again in P5 with larger numbers.

Such question will appear in P5 Exams in Paper 2.
Calculator usage is allowed.

Ken and Ryu have sum of $1040 altogether.

After Ken spent ¹/₆ of his money and Ryu spent $732 of his money,

both have the same amount of money left.

How much money did Ryu 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: Buy 2 different items of Equal Quantity or Equal Value

The following question type shows 2 items that must be bought in different quantities and each of them are not sold separately.

The items are either bought of the same quantity or are bought to equal value in dollars.

The difference will be given depending of sets of same quantity(value difference given) or sets of same value(quantity difference given).

Such questions require students to be proficient with "Set Method" and "Common Multiples".

These usually will appear in Paper 2.
Calculator usage is allowed.

Apples and mangoes are sold according to the offer stickers below and not sold individually.

     

Evan spent equal amount of money on buying mangoes and apples.

He bought 33 more apples than mangoes.

How much did he spend altogether?

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