P4P5P6: Set Method (1 free with every multiple of)

Set method of many variations are taught since P3.

Such questions require students to count in multiples of certain number and use those multiples to calculate the value of such sets.

For the type of questions shown below, students will also need to understand what are "Complete Sets" and "Incomplete Sets".

Such questions are common in Section B and C of P4 exams and also in Paper 1 of P5 and P6 exams.

Calculator usage is not allowed.

At a fruit stall, apples are sold at $2 each.

For every 4 apples sold, an apple is given free.

a) What is the minimum amount needed to buy 21 apples?

b) What is the most number of apples that can be bought with $84?

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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P6 Math: Combination of Sets and Individual Units

This question type shows a total value resulting from a combination of multiple sets and mutiple single units without sets. 

These questions are common in Paper 2 of P6 exam papers.

Calculator usage is allowed.

Ivan is a fishmonger at the local market.

Each customer that buys 3 fish will get one free.

Each fish is sold at $12.

Last week, his customers either bought 1 or 3 fish.

Ivan collected $888 from the sale of his fish last week and gave away 21 free fish.

How many of his customers bought only 1 fish?

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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P6 Math: Accumulating Different Amounts on Weekdays and Weekends

This type of problem sum will need students to consider the start of a 7-day week from a day that is not Monday.

The accumulation of objects differs between weekdays and weekends.

Such questions are common in P6 Paper 2.

Calculator usage is allowed.

Gilliam buys 2 new stickers every weekday.

On weekends, he would buy 4 stickers each day.

If he started buying stickers on a Thursday...

on which day would Gilliam have bought a total of 44 stickers?

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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P3/P4 Math: Fitting Equal Quantities into Containers with Remainder

The following question requires basic division so as to find out how many containers can be fitted with equal quantities but there will be some remainder after performing the division.

Such questions are common in P4 exams in Section A or B.

Mrs Lim is planning an excursion for her 60 students.

She needs to ferry the students and herself to the Science Center.

A mini-bus can sit up to 12 people.

What is the least number of mini-buses needed 

to ferry the students and herself to the Science Center?

Typical 12-seater mini-bus

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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P6 Math: Fractions with incomplete sets

With a known quantity expressed as a fraction, smaller (equal)quantities in fraction are being removed until the last remaining quantity is left. 

Such questions often appear in Paper 1 of P6 papers.

Calculator usage is not allowed.

Tracy has ⁷/₅ kg of sugar. 

She packed them into as many packets of ¹/₈ kg as possible
and had some sugar left unpacked.

How many packets of sugar was she able to get?

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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P5/P6: Incomplete Set Method

Set method is a common technique taught from P3.

In P5, the concept of incomplete sets is commonly tested.

Such questions often appear in Paper 2 of P5 and P6 papers

Calculator usage is allowed.

In a market, each kilogram of the tilapia fish is sold at $12.

For every 5kg of tilapia fish bought, the 6th kilogram of tilapia is sold only at $9.

How many kilograms of tilapia was bought if the total price paid was $438?

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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P5 Math : Rates and Part Thereof

Rates are commonly taught after students are able to grasp the concepts of time and mutiples.

The term "Part Thereof" refers to a fixed portion, regardless consumed by part or whole, that is charged the same "rate".

Such questions are common in Paper 1 of P5 Math papers.
Calculator usage is not allowed.

The rates of taking a taxi ride ( based on distance ) is shown in the table below.

First 1 km	$3
Every 200m or part thereof	50 cents

How much will it cost to ride on this taxi for 2.3km?

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/P6 Math: Series of Repeating Pattern Numbers or Letters

Patterns are commonly tested since P3 for students to predict the next number in the sequence using Math.

The following question type deals with a repeating pattern of numbers or letters.

Suitable for P4, P5 and P6 students.

Calculator usage will not be necessary.

In a number series below,

1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 , 7 , 2 , 7 , 1 , 4 .....

a) What would be the 54th digit?

b) From the first digit to the 74th digit,
how many times would the digit "7" have appeared?

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/P6 Math: Set Method (Advanced)

The question below deals with the advanced version of the "Set Method".

Such questions are suitable for P4 and P5 and P6.

Do take a look at the subtle difference between the 2 questions listed below.

Both questions below will randomize with different numbers every hour. 

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Are you able to see the differences in the 2 questions presented here?

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The questions will have different answers

due to the difference way the question describes each set.

P4/P5 Math: Set Method

The question below deals with "complete sets" and/or "incomplete sets".
Such questions are suitable for P4 and P5.
Calculator usage is not allowed.

Melons in a supermarket are sold at $3 each.

A basket of 4 melons are sold at $10.

a) What is the most number of melons that can be bought with $50?

b) What is the least amount of money needed to buy 30 melons?

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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