**"Simultaneous linear equations"**

## Grades 8 to 10 GRAPHICAL TRIANGLE

*By toni On 16 November, 2016 · Leave a Comment*

What is the area, (in square units) of the triangle formed by the three lines whose equations are: y − x = 6, x − 2y = 3 and x + y = 6?

This problem is adapted from the NRICH task Graphical Triangle with permission […]

## Grades 8 to 12 Symmetricality

*By toni On 26 October, 2016 · Leave a Comment*

Add up these 3 equations. What do you notice?

Find the values of x, y and z.

Now add up all 5 equations given below. What do you notice?

b + c + d + e = 4

a + c + d + e = 5

a + […]

## Grade 9 and 10 – Intersections

*By toni On 17 October, 2016 · Leave a Comment*

(1) Plot the graphs of the straight lines y = x, y = 1.1x – 0.2 and y = 0.9x – 0.1

What do the graphs tell you about the solutions to the two pairs of simultaneous equations y = x y = 1.1x – 0.2 and y = x y = 0.9x – 0.1 […]

## Grades 9 to 12 Matchless

*By toni On 7 April, 2015 · 3 Comments*

Find values of x and y for which these five expressions all have the same value.

Do you have exactly the right amount of information or more information than you need?

AIMSSEC Teacher Notes MATCHLESS

This problem is adapted from the NRICH task Matchless with permission of the University of Cambridge. All […]

## Grade 11 or 12 – Polycircles

*By toni On 16 January, 2012 · Leave a Comment*

A triangle has sides 12, 13 and 15 units. Circles are drawn with centres at the vertices of the triangle so that each circle touches the other two.

Find the radii of the circles.

Can you always find touching circles for any triangle?

What about other polygons?

Click here for the Notes […]

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