P5P6 Math: Before and After (Starting Difference, Ending Fractional Comparison with Total)

This is a common MCQ question in Paper 1 where the difference between 2 values are given at first.

Each value is added with a different number and it ends with a fraction of total given, representing one of the values, at the end.

Such questions appears in P6 Paper 1 of Mid Year WA.

Calculator usage is not allowed.

Brett has $29 more than Aaron at first.

After Brett was given another $30 and Aaron was given $25,

the total amount of money Brett has is ³/₅ of the total amount of both boys.

How much did Aaron have at first?

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P6 Math: Catching up (Savings vs Spent vs Allowances)

Advance P6 questions such as these requires students to compare between daily differences and accumulated differences.

Such questions are common in P6 Prelim Paper 2.

Calculator usage is allowed.

An easier version of the question can be found here. (use for building concepts)

Esther's daily allowance is $0.40 more than Valerie's daily allowance.

Each girl spends the same amount of $1.50 every day and saves their remaining allowance.

When Esther saved $40, Valerie only managed to save $20.

How much was Valerie's daily allowance?

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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?

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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?

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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?

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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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