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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P4 Math: Listing Multiples with Remainders

This question type requires students to list out multiples between 2 numbers and also to consider another condition when selecting the common number that appears in both lists.

Such questions are common in P4 exams in Section C.

Heather has some lollipops to pack.

If she packs the lollipops into bags of 5, there will be no remainder.

If she packs the lollipops into bags of 7, there will be only 2 lollipops in the last bag.

What is the least number of lollipops that Heather could have?

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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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P4: Fraction of Remainder (Basic)

Fraction of a remainder is a concept similar to Fraction of a Fraction.

Student will need to know that they must not make both denominator the same if each denominator of the 2 fractions do not represent the same total.

Such questions are common in Section C of P4 exams.

More of such questions with slightly higher difficulty for P4 students here.

Jaya has some plates in green, blue and red in colour.

¹/₄ of his plates are green.

⁵/₆ of the remaining plates are blue and the rest are red.

He has 40 blue plates.

How many plates does he have altogether?

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