P6 Math: Fraction of One Number is a Multiple of Another Number (Basic)

The question below compares between 2 different numbers.

A fraction of the first number is a multiple of the second number.

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

Similar variations of this question can be found "here".

Jane and Kelly each have some red beans.

¹/₂ of Jane's red beads is thrice the number of Kelly's red beans.

Jane has 450 more red beans than Kelly.

How many red beans do they have altogether?

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P5/P6 Math: Internal Transfer with Constant Difference

The following question is a "Before and After" type question where there is an "Internal Transfer" between 3 parties and two of the parties will either add or minus the same number.

Hence the "Constant Difference".

Such questions usually appear in Paper 2 of P5/P6 exams.

Calculator usage is allowed.

Brad, Harry and Lawrence have some toy trucks.

Brad has 88 toy trucks, Harry has 150 toy trucks and

Lawrence has 20 toy trucks.

After Harry gave Brad and Lawrence equal number of his toy trucks,

Brad now have thrice as many toy trucks as Lawrence.

How many toy trucks did Harry have at the end?

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P6 Math: Percentages of Equal Value

This type of P6 question presents 2 percentages of different items but have the same value as each other.

While looking seemingly like a percentage question, 
it is actually a fraction concept learnt earlier during P5, "Fractions of Equal Value".

Such question usually appear in P6 exams Paper 2.
Calculator usage is allowed.

Tricia and Elise have some ribbons.

10% of Tricia's ribbons are the same quantity as 40% of Elise's ribbons.

Tricia has 45 more ribbons than Elise.

How many ribbons do they have altogether?

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P3/P4 Math: Two Fractions of Total Given

Fraction problem sums are common in Section C of P3 and P4 exams.

A "fraction of the total" representing one item and another "fraction of the total" representing another item. 

The third information given is usually the value of the first item, second item or the amount left.

A slightly more complex version of this question can be found here.

Bala have some books.

¹/₃ of his books are about cars.

¹/₉ of the books are about planes.

The rest of the books are about dinosaurs.

He has 55 books about dinosaurs.

How many books does Bala have altogether?

A Stegosaurus from the Jurassic Period

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P5/P6 Math: Consecutive Numbers in a Series

 These type of questions requires students to be able to understand the meaning of "consecutive".

The Cambridge Dictionary described this word as 

Consecutive events, numbers, etc. follow one after another without an interruption:

Such questions will usually appear in Paper 1 of P5 and P6 exams.
Calculator is not allowed.

The sum of 5 consecutive odd numbers is 45.

What is the 2nd number in the series?

Bar Graph showing consecutive increase

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Below are 3 different questions to try.

Each of the consecutive series are different.

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P6 Math: Incremental Numbers in a Table (Pattern)

The table below shows a table with multiple rows and columns, 

which numbers are filled in an incremental manner.

The first number does not begin with 1 and the number begins at the next row from the left.

Such questions usually appear in P6 Exams Paper 2.

Calculator usage is allowed.

Another complex version of such grid patterns can be found "here".

	Column
Row	A	B	C	D	E
1	4	5	6	7	8
2	9	10	11	12	13
3	14	15	16	17	18
4	19	20	21	22	23
5	24	25	26	27	28

a) The number 801 will appear under which column?

b) The number 977 will appear at which row?

Batik cloth are dyed with assymetrical repeating patterns

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P5/P6 Math: Fraction of Remaining (Basic) Version 2

This question revisits the basic version of "Fraction of Remaining" problem sum.

The first fraction is a fraction of the total and
the second fraction given is the fraction of remaining.
The last numerical value given is a comparison between 2 items in the question.

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

A similar(easier) version of the question can be found "here".

Christine spent ⁵/₆ of her salary on a pearl necklace.

She used ¹/₂ of the remaining salary to buy a bracelet

and saved the rest of her salary.

If her pearl necklace costs $1620 more than the bracelet,

how much was her salary?

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P3/P4 Math: Before and After (Constant Difference)

The following question type introduces the concept of constant difference to the P3 and P4 students and requires students to be able to solve by means of model drawing.

Such is a question that requires "Before and After" model drawing methods to visualize the concept of "Constant Difference".

These questions will appear in Section C of P3 and P4 exam papers.

Eric and Brady have the same number of goldfish in their aquariums.

After Eric added 5 goldfish and
Brady added 15 goldfish in each of their aquariums,

Brady now has twice as many goldfish as Eric.

How many goldfish did they have altogether at first?

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P6 Math: Fractions (Expert Level)

The following question type requires students to be able to look into each numerator and denominator to find a common one to make the same.

Such questions will usually appear in P6 exams in Paper 2.
Calculator usage is allowed.

In a school, ¹/₃ of the male students were absent and

¹/₄ of the female students were absent on Monday.

⁷/₁₀ of all the students were present that day.

There were a total of 440 female students in that school.

How many male students were present on Monday?

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P5 Math: Fractions ( 2nd item is slightly more than fraction of total )

The following is a introductory simpler version of "Fraction of Remaining" series of problem sum.

A fraction of total is spent on one item and the second item costs slightly more than the first item.

The number value of amount that was left is given at the end.

Such question usually appears in Paper 2 of P5 exam papers.
Calculator usage is allowed.

Gary bought a suitcase with ²/₉ of his money.
He bought a jacket that costs $19 more than the suitcase.
He has $196 left.

How much did Gary have at first?

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P6 Math: Before and After Ratio (Expert)

A total of 3 ratios are given for this question type.

Starting ratio (before), ending ratio (after) and the ratio of change will be given for such questions.

Such questions will appear in Paper 2 of P6 Math exams.

Calculator usage is allowed.

Robin have a total of 384 grapes and berries in the ratio of 5:3 respectively.

He then gave away some grapes and bought more berries in the ratio of 2:1.

After that, the ratio of grapes to berries became 1:1.

How many grapes were given away?

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P5/P6 Math: Permutations

Once a Math Olympiad question type,

such questions are now becoming the norm for both P5 and P6 students alike.

Such questions usually appear in paper 1.

Calculator usage is not allowed.

In a robotics competition,

each robot must battle another robot once.

If there were 10 robots, how many battles must be carried out altogether?

Life-sized Gundam model in Japan

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