P5P6 Math: Value and Multiples and Differences

This is a question type that will provide 4 of the listed information below for 2 different items of different quantities,

1. Total value of 2 items
   
   
2. Difference between 2 item's totals
   
   
3. Unit Difference between 2 items
   
   
4. Multiples of 1 item compared with another 

Similar questions using ratio to represent the multiples can also be found here and here.

Such questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed

Samy bought thrice as many books as pens.

He spent a total of $3850 on all the books and pens.

Each book cost $5 more than each pen.

He paid $2030 more for all the books than for all the pens.

How many books did Samy buy?

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P5P6 Math: Before and After (One Party Change) Fractional Comparison

Such questions are very similar to before and after "ratio" comparison where only one of the values changed, but the ratios are expressed using fractions. 

Such questions are common in Paper 2 of P5 and P6 exams.

Calculator usage is allowed.

Similar Ratio (One Party Change) questions can be found here.

Ben and Lenny each have some baseball cards.

At first, Ben has ²/₅ as many cards as Lenny.

After Ben bought 36 more cards,

Ben has ²/₃ as many cards as Lenny.

How many cards did both boys have altogether at first?

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P6 Math: Before and After Ratio made Equal at the end

This question type starts with a ratio and after both values undergo some decrease, a new ratio is given.

Both values undergo another addition and that causes both values to become the same at the end.

Such questions are common in P6 Prelim Paper 2.

Calculator usage is allowed.

Benedict and Erica has erasers in the ratio of 5:7 respectively.

After Benedict gave away ³/₇ of his erasers and Erica sold some erasers,

the ratio of Benedict's to Erica's remaining erasers became 10:7.

Benedict then bought another 60 erasers and Erica bought 240 erasers.

Each have the same number of erasers at the end.

How many erasers does Erica have at first?

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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: Starting Difference Given with Both ending Equal at the End

This type of question begins with a value given(usually the difference between 2 parties).

Each of the value undergo fractional decrease and both ends up to be equal in the end.

Such questions are common in Paper 2 of P5 and P6 Math exams.

Calculator usage is allowed.

Rachel has $105 more than Phoebe at first.

After Rachel spent ²/₃ of her money and Phoebe spent ¹/₄ of her money,

both girls have equal amount of money left.

How much did Rachel spend?

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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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The question below will randomize with different numbers every hour. 

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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?

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P6 Math: Speed of 2 vehicles arriving at different times

The speed of 2 vehicles and the duration difference is given.

Such distance, speed and time questions require students to be able to see the ratio between the speeds and duration in order to solve it.

Such questions are common in P6 Paper 2 exams.

Calculator usage is allowed.

A car and a van is travelling from Town A to Town B.

Both vehicles started at the same time.

The car is travelling at a speed of 80 km/h and the van at a speed of 64 km/h.

When the car reaches Town B, the van is still 10 minutes away.

How long did the car take to reach Town B?

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P5 Math: Ratio Basics (3 parties)

Ratio of 3 parties merely expresses the simplest form between 3 values and are not representing the exact value.

With one or more values given, students must make be able to derive the other values by means of multiplication or division.

Such questions usually appear in P5 Paper 1.

Calculator usage is not allowed.

Tricia, Belinda and Alicia has baked some muffins in the ratio of 4:3:1 respectively.

They baked a total of 640 muffins.

How many more muffins than Alicia did Tricia bake?

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P5 Math: Ratio (Before and After) Fractional Change

Ratio is a concept taught in P5 and it closely resembles simplified fractions.

The following question type requires student to be able to perform fractional decrease to one of the ratio numbers.

Such questions are common in Paper 1 of P5 and P6 exam papers.

Calculator usage is not allowed.

Petrina has markers and files in the ratio of 2:3 respectively.

She gave away ¹/₃ of her markers.

What is the ratio of her remaining markers to files in the end?

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