Coordinates & graphs

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The Wey Valley School & Sports College
Mathematics Home Study
Page 1
POSITIVE COORDINATES
1. Write down the coordinates of each
corner of this triangle.
UNIT: Coordinates & Graphs
Support work: Page 1
Core work: Page 2
Extension work: Page 3
HORIZONTAL
then
VERTICAL
When reading & plotting coordinates it is important to get them
in the correct order:
This is sometimes remembered as “along the corridor & up/down
the stairs”
2. The coordinates of the corners of a triangle are:
(3, 2), (5, 7) and (1, 6)
Draw the triangle.
3. Draw a grid like this one.
Then join these points in order:
(3, 7), (1, 7), (1, 8), (6, 8), (6, 7),
(4, 7), (4, 3), (6, 3), (6, 2), (1, 2),
(1, 3), (3, 3), (3, 7).
What letter do you get?
4. On a similar grid to the one in question 3, draw your own
shape or picture.
Write a list of coordinate instructions to make your shape.
Page 2
Page 3
NEGATIVE
COORDINATES
1. What temperature is:
(a) 3˚C warmer than -4˚C
(b) 5˚C colder than 2˚C
(c) 10˚C warmer than -6˚C
(d) 8˚C colder than 3˚C
(e) 5˚C warmer than -8˚C?
2. Write down the
coordinates of the corners of
the square marked on the grid
(above right).
3. (a) Draw a grid like this one:
(b) Plot each set of points,
joining them in order.







(1, 1), (1, 3), (4, 3), (4, 1), (1, 1)
(-2, 1), (-2, 3), (-5, 3), (-5, 1), (-2, 1)
(1, -4), (1, -1), (3, -1), (3, -4)
(-5, -1), (-2, -1), (-2, -3), (-5, -3), (-5, -1)
(1, 6), (1, 8), (2, 8), (2, 6)
(-7, 4), (-4, 6), (3, 6), (6, 4), (-7, 4)
(-6, 4), (-6, -4), (5, -4), (5, 4)
GRAPHS
1. The graph below can be used to convert between inches and
centimetres.
Use the graph to convert:
(a) 4 inches to cm,
(b) 1 inch to cm,
(c) 5 cm to inches,
(d) 8 cm to inches,
(e) 12 cm to inches.
2. (a) On axes that go from 0 to 10 across (x) and 0 to 20 up (y),
plot the points which obey the following rule:
The y-coordinate is always double the x-coordinate.
(b) Join the points that you have plotted.
(c) You should have a straight line. Write the equation for the
line you have drawn. i.e. use algebra to write the above rule.
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