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.

The question below will randomize with different numbers every hour. 

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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.

The question below will randomize with different numbers every hour. 

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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.

The questions below will randomize with different numbers every hour. 

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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

If the above question is easy, try to do the more challenging question below

The question below will randomize with different numbers every hour. 

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P6 Math: Composite figure of Square formed around the edges of a Rectangle

The question below is a relatively uncommon one.

2 pairs of squares are drawn along the edges of a rectangle.
The total area of the 4 squares and the perimeter of the rectangle is known.
With that, students must find out what is the area of the rectangle in the middle.

Such questions appear in Paper 2 of P6 Prelim papers.
Calculator usage is allowed.

Composite rectangles in real life

The question below will randomize with different numbers every hour. 

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P6 Math: Area of Triangle in a Rectangle

A rectangle or square is presented with a triangle inside the shape.
The 3 corners of the triangle are touching the sides of the rectangle/square.

Such questions require students to use the concept that triangle is half of the area of the rectangle/square that it shares its base and height with.

These questions appear can appear in both Paper 1 and in Paper 2.

For the purposes of this practice,
calculator usage is allowed.

Triangular and other shaped dices

The figure below consists of a square with an area of 200 cm².

Triangle BDF has its 3 corners touching the sides of the square.

AB, AF, BC and EF have the same length as each other.

What is the area of triangle BDF?

If the above question is easy, try to do the more challenging question below.

The question below will randomize with different numbers every hour. 

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P5/P6 Math: Overlapping Areas of 2 Shapes

The concept of overlapping shapes requires ratio knowledge, constant difference and knowing that the overlapped area is the same value for both individual shapes.

Such questions usually appear in Paper 2 of P5 and P6 exams.
Calculator usage is allowed.

Overlapping shadows due to multiple light sources

The question below will randomize with different numbers every hour. 

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P5/P6 Math: Stacked Rectangles with Overlapping Triangle

A few identical smaller rectangles are stacked(combined) to form a larger rectangle.

From the larger rectangle, a triangle is drawn from the same dimensions, with part of the triangle, overlapping the large rectangle. ( as shown in the question below).

Such questions can appear in both Paper 1 and Paper 2 of P5 or P6 Math exams.
Calculator may be allowed if double digit long division needs to be carried out.

The "Recycle" logo is also a triangle

The question below will randomize with different numbers every hour. 

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P4/P5 Math: Cutting out Smaller Squares from Larger Rectangle (Area)

Cutting out smaller squares from a larger rectangular sheet of paper requires students to remember that there may be "wastage" involved.

Common multiples may be employed to check if there are wastage.

Such questions usually appear in P3 and P4 exams in Section C.

Plots of land divided into smaller rectangles

The question below will randomize with different numbers every hour. 

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P5/P6 Math: Two Overlapping Identical Rectangles

The concept of overlapping shapes can also be found over in these questions.

Such questions require the concept of constant difference and will usually appear in Paper 2.

Calculator usage is allowed.

Overlapping of Red and Blue and Green lights to obtain White light

The question below will randomize with different numbers every hour. 

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Diagram may not be drawn to scale

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