P5/P6 Math: Triangle sharing Base and Height with Rectangle

The area of a triangle are actually expressed as half the area of a rectangle or square.

This above concept requires students to know that regardless of how the triangle looks like, it's area will be half of a rectangle that shares the same base and height as it shares the same length and breadth of a rectangle.

Such questions are common in Paper 1 of P5/P6 exams.
Calculator usage is not allowed.




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P5/P6 Math : 3 Parties Before and After with Equal Amounts at the End

This Before and After problem sum starts with the total of 3 parties given.
Each party undergo either numerical increase, numerical decrease and/or fractional decrease. The problem sum ends with each party having equal ratio in the end.

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

Ben, Carl and Dave have a total of 1021 marbles at first.
After Ben halved his number of marbles by giving some away, 
Carl bought 118 more marbles and Dave threw away 1/5 of his marbles,
each boy have the same number of marbles left.

How many marbles did Dave have at first?


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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?


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P4P5 Math: Before and After Start Multiples End Same

Such problem sums starts with 2 parties, one being a multiple of another at first.
Both parties undergo addition or subtraction and results in both having equal value at the end.

This type of problem sum will require student to use before and after models to represent visually the starting multiples of one another at the "Before" model and the "After" model to represent the changes and how both became "Equal".

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

Chris have 3 times as many buttons as Bailey at first.
After Chris used 30 buttons making shirts and Bailey used 4 buttons for making pants,
they had the same number of buttons left.

How many buttons did Chris have at first?


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P4P5 Math: Fraction of Remaining(Simpler)

"Fraction of remaining" is a concept that requires students to be able to understand that in the 2 fractions given, one represents "Fraction of Total" and the other represents "Fraction of Remaining".

The denominators of both fractions need not be made to be the same as both represents a different value.

Such questions usually appear in Section C of P4 exam papers.
Calculator is not allowed. (for P5 students attempting this question)

Similar question for P4 can be found here.
A tougher version for P5 can be found here.


Calvin has a collection of precious gemstones.
1/4 of his gemstones are green in colour.
1/3 of his remaining gemstones are red and the rest are blue.
He has 24 blue gemstones.

How many gemstones does Calvin have altogether?


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P4 Math: Simple Pie Chart

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

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).



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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. 
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