P6 Math: 2 Overlapping Right-Angled Isosceles Triangles with Area Difference given

Though this question looks seemingly like a triangle question, it'd actually require the knowledge of area of squares.

Such questions are common in Paper 1 of P6 Prelim papers.

Calculator usage is not allowed.

Triangular tiles forming Square patterns

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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: Composite Figure with Rectangles and Square and Triangles

A rectangle, composite figure made up of a square, 3 rectangles, has a line that splits each rectangles into 2 triangles as it goes from one corner to another corner of the composite rectangle.

Such composite figure questions are now common in Paper 1 of P6 prelim papers.

Calculator usage is not allowed.

 

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P5/P6 Volume of Partially Filled Container with Unknown Height

A partially filled tank and its volume of water is given.

With the breadth and length, students must find out the missing "height" and "capacity" of the given tank.

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

Calculator usage is allowed.

A rectangular tank has a length of 20 cm and breadth of 16 cm.

The tank is ²/₅ filled with water.

There is now 7040 cm³ of water in the tank.

a) What is the height of the tank?

b) What is the volume of the tank?

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P5/P6 Volume of Partially Filled Container

Volume is a topic taught in P5 that addresses the 3-D space after students have comnpleted learning of 2-D shapes such as squares, rectangles and triangles.

Besides length and breadth, the height is what that gives a 2-D shapes another dimension.

Partially filled containers are often tested in Paper 2 of P5 and P6 exam papers.

Calculator usage is allowed.

A rectangular tank has the dimensions 55cm by 30cm by 40cm.

This tank is now ¹/₃ filled with water.

a) What is the volume of water is in the tank now?

b) What is the volume of water needed to fill the tank completely?

Partially filled water tanks

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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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