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. 

Copy below question down before making attempt.

Click  if above box appears blank

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. 

Copy below question down before making attempt.

Click  if above box appears blank

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. 

Copy below question down before making attempt.

Click  if above box appears blank

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. 

Copy below question down before making attempt.

Click if above box appears blank

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. 

Copy below question down before making attempt.

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. 

Copy below question(s) down before making attempt.

Click if above box appears blank

P5/P6 Math: Area (Overlapping Triangles in Rectangle)

The question presents 3 triangles overlapping each other within a rectangle.

An area that is clipped out within the rectangle is given.

The length and breadth of the rectangle is also provided.

Each of the heights of the 3 triangles is also the breadth of the rectangle.

This question often appears in Paper 1 of P5 exams.
Calculator usage is not allowed.

More overlapping triangles in rectangles questions here.

The Triangle Musical Instrument 

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank

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. 

Copy below question down before making attempt.

Click if above box appears blank

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. 

Copy below question down before making attempt.

Click if above box appears blank

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

The question below will randomize with different numbers every hour. 

Copy below question down before making attempt.

Click if above box appears blank