Graphs become your pals in KS3 Maths, and though they might seem tricky, trust me, once you get the hang of them, they're a breeze!

'Hang on', you say. 'This quiz is supposed to be about algebra, not just graphs.' That's right, so what's the algebra link? Well, most shapes can be mapped on a graph using formulae to describe their coordinates.

Quizzes: The Path to Smart and Happy Kids1.

Which of the following is the correct way of writing coordinates?

(3, 4)

3 + 4

3, 4

34

Coordinates are written in pairs and placed in brackets. The x coordinate is always placed first and the y coordinate second

2.

Which of these points is furthest from the y-axis?

(2, -3)

(-5, 5)

(-2, 1)

(7, -3)

The distance from a point to a line is always measured at right angles to the line so the distance from the y-axis is the x coordinate of the point

3.

Which of these points is furthest from the x-axis?

(2, -3)

(-5, 5)

(-2, 1)

(7, -3)

The distance of a point from the x-axis is the y coordinate of the point

4.

All points with x coordinate equal to 3 are on the line with equation …….

y = 3

x + y = 3

x = 3

y = x + 3

The rule is that x is always equal to 3

5.

Points such as (4, 4) which have x and y coordinates the same are all on the line with equation …….

x + y = 4

x = y

y = 4x

x = 4

The rule is that x is always equal to y

6.

Which of these points is on the y-axis?

(5, -5)

(5, 0)

(-5, 0)

(0, -5)

All points on the y-axis have an x coordinate of zero

7.

Which of these points is not on the line x + y = 6?

(2, 4)

(3, -3)

(5, 1)

(-1, 7)

The coordinates must add up to 6

8.

Which of these points is 6 units down from and 5 units to the right of the origin?

(5, 6)

(-6, 5)

(5, -6)

(-6, -5)

The first number in coordinates gives the position along the x (horizontal axis). Be careful with questions like this where the first number given to you is along the y axis!

9.

Which of these points is on the line y = x - 2?

(2, -4)

(-4, 2)

(-2, 4)

(-2, -4)

The rule is that y is always 2 less than x

10.

Which point will you arrive at if you start at (1, 3) and move 3 units to the left and 3 units up?

(4, 2)

(-2, 6)

(4, 6)

(0, -4)

Movements to the left are negative so remove 3 from the x axis. Movements upward are positive so add 3 to the y axis

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