Problem solving with plotting coordinates | Maths | Quizalize & Oak National Academy

Starter quiz

Which of these are properties of a square

It has 4 right angles ✓

All sides are the same length ✓

It has angles of 60 degrees

Two sides are the same length but the other two are different.

It has 5 sides
Jun marks the coordinate (3,4) on a set of axes with a cross. What word best describes what he has done?

plotted ✓

drawn

estimated

generalised

multiplied
Lucas has put -3 and 4 on a number line. What calculation will give him the distance between these numbers on his number line?

$-3+4$

$-3\div 4$

$4-(-3)$ ✓

$4-3$

$-4+3$
Calculate $(-8)-(-10)$

'2' ✓
Match the coordinate with the equation for the line it will lie on

(2,3)

⇔

$y=3$ ✓

(3,6)

⇔

$x=3$ ✓

(-3,-3)

⇔

$y=x$ ✓

(5,-5)

⇔

$y=-x$ ✓

(-2,-3)

⇔

$y=2x+1$ ✓

(-3,4)

⇔

$y=-3x-5$ ✓
These three coordinates are plotted on an axis. (-10,3) (-8,3) (-10,1). What coordinate needs to be plotted to form a square?

'(-8,1)' ✓

Which of the rules below does the coordinate (2,-12) follow?

$x=2$ ✓

$x=y$

$y=x+10$

$y=12$

$y=-12$ ✓
What is the length of one side of this square

'11' ✓
Work out the coordinate of the top right corner of this square

'(9,-6)' ✓
Match the coordinate with the two rules it follows

(5,5)

⇔

$x=5$ and $y=x$ ✓

(5,15)

⇔

$y=3x$ and $y=x+10$ ✓

(5,-5)

⇔

$y=x-10$ and $y=-x$ ✓

(-5,5)

⇔

$y=x+10$ and $y=-x$ ✓

(5,-15)

⇔

$y=-3x$ $y=-15$ ✓
Which statements concerning intersection points are true?

Any two lines will intersect

The lines $x=4$ and $y=3$ intersect at (3,4)

The lines $y=x+15$ and $y=2x$ intersect at (15,30) ✓

The lines $y=x$ , $x=4$ and $y=4$ as intersect at (4,4) ✓

Two straight lines can intersect at 2 different coordinates
At which coordinate do the lines $y=4x$ and $y=x-9$ intersect?

'(-3,-12)' ✓

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Adding the length of the side onto the wrong value within a coordinate.

Use sketches/ erasable axis/ Desmos to plot points and see if they are reasonable. Encourage writing/drawing on diagrams as working out.