P6 Math: Fraction of Remainder with Addition and Ratio at the End

Fraction of remainder questions will be more complex at P6 level.

The following question type adds on to the difficulty by including an addition and provides the ratio comparing between the total at first and the total at the end.

Such questions usually appear in Paper 2.

Calculator usage is allowed.

Devinder has some money at first.

He spent ³/₈ of this money to buy a ruler and

²/₇ of the remaining money on a book.

After he was given $9.20 by his uncle, the ratio of his

money at the end to his total amount of money at first became 5:2.

How much did Devinder spend on his ruler?

The question below will randomize with different numbers every hour. 

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P5P6 Math: Percentage Decrease of One Value vs Percentage Decrease of the Total

While percentage simply means a fraction of 100, the concept of percentage becomes complex when the terms such as percentage increase or decrease is in play.

Such questions usually appear in P5 and P6 exams in Paper 2.

Calculator usage is allowed.

In June, Alan was given an allowance of $200.

Alan spent 20% of his allowance on food and 30% of the allowance on transport.

He saved the remaining of the allowance in June.

In July, he was given less allowance.

So he spent 20% lesser on food but spent the same amount on transport and saved the same amount as in June.

What was the percentage decrease of his allowance in July?

The question below will randomize with different numbers every hour. 

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P6 Math: Equal Quantity after 2 Parties undergo Fractional Decrease

The question presents 2 different items, each of different value and quantity.
After each undergo a fractional decrease, both items have the same number remaining.

The unit value of each item and the total value of the remaining items are provided.

Such questions require students to make use of "Equal Value Fractions" in order to solve.

These type of questions will usually appear in Paper 2 of P6 exams.

Calculator usage is allowed.

Craig has a stack of $2 and $10 notes.

After using ²/₉ of the $2 notes and ³/₅ of the $10 notes to buy a figurine,

he has equal number of $2 and $10 notes remaining.

He has $672 left at the end.

How much money did Craig 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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