P5P6: Buying 2 identical items with different Percentage Discounts

Questions like these gives 2 percentage discounts, depending if one or two items(of the same type) is purchased. The first purchase will have a smaller discount and the second purchase(of the same item) will have a bigger discount.

In order to solve such questions, it'd be easier to see the percentage as units instead.

Such questions will appear in Paper 2 of P5 exams.

Calculator usage is allowed.

At an electronics store, the 65-inch TVs were sold at a discount.

The first TV will be sold at a 30% discount.

The second TV will be sold at a 50% discount if the customer buys two at the same time.

Perceval bought 2 of these TVs and paid a total of $1680.

What was the original price of each TV?

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P5P6 Math: Before and After (2 Equal Total at first with 2 different item types)

This question type is the slightly more complex version of the one shown here.

Both person start with the same total.

Each will use some of their total to make different quantities of 2 items.

The comparison between each of the 2 items and their respective remaining are given.

"Comparison models" will be needed to solve such questions.

Alan and Ben has equal amount of clay.

After Alan used his clay to make 10 bowls, he has 1.2kg of clay left.

After Ben used his clay to make 16 plates, he has 0.66kg of clay left.

Making 3 bowl uses the same amount of clay as 4 plates.

How much clay each boy have at first?

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P5P6 Math: Before and After (2 Equal Totals at First)

For this question type, there will be 2 equal totals, at first, belonging to two different persons.

Each will use some of their totals to make different quantities of the same items made and the remaining of each person are provided.

For such questions, students are expected to draw "Comparison Models" in order to solve.

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

Calculator usage is allowed.

Jake and Donna each have the same amount of flour.

Jake used some some of his flour to make 17 cookies and
had 45g of flour left.

Donna used some of her flour to make 8 cookies and
had 270g of flour left.

How much flour did each child have at first?

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P5P6 Volume of Partially Filled Tank with Unknown Height

Volumes of partially filled containers will require students to make use of the given values such as the available "Lengths", "Breadths". "Heights" and "Volumes" in order to calculate the required value that is not given.

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

Calculator usage is allowed.

A rectangular tank as the following dimensions.

Length : 30 cm

Breadth : 24 cm

This tank is filled with water up to a height of 48 cm.

The tank is ²/₇ filled with water.

a) How much water is needed to fill the tank?

b) What is the volume of the tank?

 

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P6 Math: 3 Different Fractions of 3 Different Totals

This question type shows 2 fractions of 2 different totals.

The 3rd fraction shows the relationship between the 2 numerators above.

Such questions are common in Paper 1 of P6 Exams(Mid Year and Prelims)

Calculator usage is not allowed.

Mr Teo owns an aquarium that sells goldfish and guppies.

On a particular day, he sold ¹/₃ of the goldfish and ⁵/₁₁ of the guppies.

⁸/₁₃ of the fish sold that day were goldfish.

What fraction of all his fish were sold that day?

                                                1)    ²⁶/₃₃

                                                2)    ²⁶/₃₅

                                                3)    ¹³/₃₅

                                                4)    ⁶/₁₁

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P4/P5 Pie Chart (Fractions of Different Denominators)

These questions shows that the Pie Chart have 3 sections and each section is denoted by a fraction with its own unique denominator.

Students have to make use of common denominator so all the sections' fractions add up to become one whole.

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

Calculator usage is not allowed.

More similar questions on Pie Charts here.

Is this a Pie Chart or a picture of a pyramid?

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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?

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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: Fraction of Remainder with Guess and Check

This question type requires students to be able to use part/whole models to visualize "Fraction of Total" and "Fraction of Remainder". The "Guess and Check" table will also be required here.

Such questions are common in Paper 2 of P6 exams.

Calculator usage is allowed

Teddy bought some apples from the market.

After he threw away 152 apples and gave ¹/₅ of the remaining apples to his sister, 

he was left with ⁴/₇ of the apples bought. 

He packed the apples he had left into large boxes of 12 and small boxes of 8.

All the boxes were full without any apples left over.

What was the least number of boxes used by Teddy?

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