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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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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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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P4P5 : Internal Transfer Multiples (More Became Less)

This question type is very similar to the one with external transfer where the one with more became the one with less.

This one, however, is internal transfer, where the larger value gives away to the smaller value until the smaller value becomes the bigger one.

Such questions will appear in Section C of P4 exams and Paper 1 of P5 exams.

Calculator usage is not allowed.

Kieran has thrice as many marbles as Irwin at first.

After Kieran gave Irwin 75 marbles,

Irwin now has twice as many marbles as Kieran.

How many marbles did Kieran have at first?

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P4/P5 Math: Pie Chart(Intermediate)

Pie Charts taught in P4 will require students to understand the meaning of the 90 degree and what fraction(of the total) the right-angled piece represents.

This question is slightly more complex and will require students to understand the comparison between the different parts of the pie chart(besides knowing that 90 degrees represent a quarter of the total)

Such questions usually appear in Section C of P4 exam papers.

P5 and P6 students can use this as extra practice for Paper 1 as well (no calculator usage).

An easier version of Pie Chart questions can also be found here.

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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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