P6 Math: Circle with a Square (2 identical isosceles triangles)

This is a circle question that also requires knowledge of triangles and squares.

The radius is not given but the area of the square or triangle is given.

Students will find it difficult to find the area of the circle due to the missing radius.

Such questions appear in Paper 2 of Prelim papers.

Calculator usage is allowed.

An oil drum cylinder has a circular base
but is a rectangle when viewed from the side

The question below will randomize with different numbers every hour. 

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P6 Math: 2 Overlapping Right-Angled Isosceles Triangles with Area Difference given

Though this question looks seemingly like a triangle question, it'd actually require the knowledge of area of squares.

Such questions are common in Paper 1 of P6 Prelim papers.

Calculator usage is not allowed.

Triangular tiles forming Square patterns

The question below will randomize with different numbers every hour. 

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P6 Math: Composite Figure with Rectangles and Square and Triangles

A rectangle, composite figure made up of a square, 3 rectangles, has a line that splits each rectangles into 2 triangles as it goes from one corner to another corner of the composite rectangle.

Such composite figure questions are now common in Paper 1 of P6 prelim papers.

Calculator usage is not allowed.

 

The question below will randomize with different numbers every hour. 

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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.

The question below will randomize with different numbers every hour. 

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P5/P6 Math: Fraction of Shaded Triangle in a Square Grid

A triangle occupies space in a grid container many smaller squares.

Students are expected to find out the fraction of the grid that is shaded (or unshaded) without knowing the dimensions of the square grid.

Such questions are common in Paper 1 of P5 and P6 exams,

Calulcator usage is not allowed.

In each of the figures, what fraction of the figure is unshaded?

P5/P6 Math: Ratio of 4 Triangles in a Rectangle

A rectangle as a composite figure containing 4 triangles.

The relationship between the triangles and rectangles are given in both fractions and ratio.

A value of the area of one of the shapes is also given.

Such questions are common in P5 and P6 Paper 2.

Calculator usage is allowed.

Triangular window panes forming rectangles and squares

The question below will randomize with different numbers every hour. 

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P5/P6 Math: Figure of 2 Overlapping Triangles

2 overlapping triangles sharing the same base but with different heights shares a common overlapped area.

Such questions requires students to know that the sum of the area of both triangles will definitely be more than the actual area of the figure shown.

Such questions are common in Paper 1 of P5/P6 exam papers.
Calculator usage is not allowed.

Triangular shaped support structures at the Eiffel Tower

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P6 Math: Overlapping Triangles (Advanced)

The question presents 2 overlapping triangles sharing the same base but with different heights.

Such questions requires students to understand the concept of "constant difference" on top of knowing how to calculate the basic area of triangle using the known formula.

Such questions may appear in Paper 2 of P6 exams.

Calculator usage is allowed.

More overlapping triangles questions here.

Triangles on roller coasters' structures provides strength in its support

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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