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

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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.

 

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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?

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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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

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P6 Math: Circular area covered line fixed at one end

The following question is on "Circles".

Students needs to visualize a line fixed on one end that can be used to draw "circles" or a fraction of a circle around a square perimeter.

Such questions will appear in Paper 2 of P6 Prelims.
Calculator usage is allowed.

A dog on a leash is tied to a post at corner of a house.

The house occupies a square shape base and has an area of 256m².

The leash is 30m long.

What is the maximum area outside the house that the dog can roam freely?

Take π to be 3.14

Amazing facts about their sense of smell

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

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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

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P3/P4 Math: Areas and Perimeters of Squares

Areas and Perimeters of shapes such as squares and rectangles are taught in P3 and P4.

Though the formula is easy to remember, this becomes more challenging when the length of a square is not given but with the perimeter or area, students are expected to find the other.

(if given perimeter of square, find area.)

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

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: Angles in Triangles and Square Overlapping

Learning Angles begins in P3 where students learn that the right-angle exists in squares and rectangles and in between 2 perpendicular lines.

Once they reach P5, the students will learn more about triangles and parallel lines (within 4-sided figures).

Such questions involving both squares and triangles in a figure will require several rules(concepts) in order to find out the angle needed.

A "set square" is actually a "triangle"

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