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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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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P5/P6 Math: Triangle sharing Base and Height with Rectangle

The area of a triangle are actually expressed as half the area of a rectangle or square.

This above concept requires students to know that regardless of how the triangle looks like, it's area will be half of a rectangle that shares the same base and height as it shares the same length and breadth of a rectangle.

Such questions are common in Paper 1 of P5/P6 exams.

Calculator usage is not allowed.

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P6 Math: Finding Perimeter of Rectangle without Length or Breadth given

Many P6 questions in Prelim were derived from the Math Olympiad.

One of such question requires student to know what is the perimeter of a rectangle when neither the length or breadth of the rectangle was given.

Such questions usually appear in Paper 1.

Calculator usage is not allowed.

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P3/P4 Math: Area and Perimeter of Rectangles with missing Length

Area and perimeter of squares and rectangles are taught in P3 and P4.

Students will need to remember the formulas needed to calculate the areas and perimeters of rectangles using the "Length" and "Breadth".

For the following question type, the area or perimeter of the rectangle is already given together with the breadth. Students must find the missing "length" before attempting to solve for the perimeter or area of the rectangle.

A similar version of this question for "squares" can be found here.

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P6 Math: Circles with Rectangles and Diagonals

A rectangle is drawn inside a circle with one of its corner at the center of the circle.

The diagonal length of the rectangle between 2 corners is provided together with its length and breadth.

Students are expected to find the area of the circle using the information from the rectangle(within the circle).

Such questions often appear in P6 Paper 2 during the Prelims.
Calculator usage is allowed.

The semi-circle below has a rectangle inside of it.
The rectangle was drawn from the center of the circle.

What is the area of this semi-circle?

Take π to be 3.14

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P4/P5 Math: Composite Figure made of Identical Rectangles

The formula for area and perimeter of shapes such as rectangles or square are taught since P3.

Composite figures made of identical rectangles requires students to be able to see lengths and breadths of each rectangle and how they are related to the composite figure.

Such questions are common for P4 Section C and P5 Paper 1.
No calculator is allowed.

Facade of house with rectangular windows

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P5/P6 Math : Water in Partially-Filled Tanks to fill up Multiples of Smaller Containers

Such questions that deals with a large volume of water requires student to redistribute the water into smaller containers.

Both the dimensions of the larger tanks and smaller containers are given.
But the larger container is not filled to the brim.

Questions like these usually appear in Paper 2 of P5/P6 papers.
Calculator usage is allowed.

A large tank with dimensions of 32cm by 18cm by 12cm is ¹/₃ filled with water.

The water is used to fill smaller cubical containers with sides of 2cm.

How many of such smaller containers can be filled with the water from the large tank?

Glass filled with water to the brim

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P4 Math: Area and Perimeter of Square and Rectangle with Same Areas or Perimeters

This question type will show 2 shapes, a square and a rectangle.

Either the area or perimeter of both shapes will be the same.

From the values given, lengths or breadths or areas, students must be able to work towards the required answer(s).

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