**"Straight lines"**

## Grades 11 to 12 Coin in Slot

*By toni On 20 May, 2018 · Leave a Comment*

The line LP with equation y + x – 2 = 0 is a tangent at L to the circle with centre M(-4 , 4).

LN is a diameter of the circle.

LP is parallel to NQ where P is on the x-axis and Q is on the y-axis.

Find:

a) […]

## Grades 7 and 8 Dotty Relations

*By toni On 15 February, 2017 · Leave a Comment*

On the grid join the two red dots, A and B, together with a straight line.

Now join the blue dots, C and D, with a straight line.

At what angle do the two lines cross?

Investigate the number of squares “along” and “down” from A to B compared with the number […]

## Grades 7 to 10 Paper Weight

*By toni On 13 November, 2016 · Leave a Comment*

The graph shows how the weight of a letter (including the envelope) varies with the number of sheets of paper used.

What is the weight of a single sheet of paper?

What is the weight of the envelope?

If w is the weight of the letter (including the envelope) and s is […]

## Grades 7 to 9 Steps

*By toni On 5 November, 2016 · Leave a Comment*

Continue these sequences for the next three terms and continue the sequences backwards to the previous 3 terms:

7, 10, 13, 16, 19, …

15, 18, 21, 24, 27, …

1, -2, -5, -8, -11, …

What do you notice?

The first two sequences come from a multiplication table shifted up. Which […]

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