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Maths Quiz - Level 3-4 Algebra - Graphs Introduction (Questions)

Plot points, read axes, and spot patterns. Learn how coordinates form straight and curved lines, and what gradients and intercepts tell you about equations in KS3 algebra.

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(quiz starts below)

Fascinating Fact:

Curved graphs appear when equations include powers, like y = x², which creates a U-shaped curve called a parabola.

In KS3 Maths, graphs turn algebra into pictures. You’ll plot coordinates, read scales, and link equations to their shapes. Straight lines show constant change; powers create curves with turning points.

Key Terms

Coordinate: A pair (x, y) showing a point’s position on horizontal and vertical axes.
Gradient: The steepness of a line; change in y divided by change in x.
Intercept: The point where a graph crosses an axis (often the y-intercept when x = 0).

Frequently Asked Questions (Click to see answers)

How do I plot a coordinate on a graph?

Start at the origin. Move along the x-axis to the x value, then up or down to the y value. Mark the point (x, y) clearly.

What is gradient and how do I find it?

Gradient measures steepness. Pick two points on the line and calculate (change in y) ÷ (change in x). Positive gradients rise; negative gradients fall.

What’s the difference between linear and curved graphs?

Linear graphs are straight lines with constant gradient, like y = 2x + 1. Curved graphs come from powers or other functions, like y = x², and have changing gradient.

Try These Related Quizzes

1.

A graph is normally drawn on a what?

[ ]	Grad
[ ]	Grid
[ ]	Grod
[ ]	Grud

2.

To start drawing a graph you first need to put two lines on the paper that show units of measurement. What is the name given to one of these lines?

[ ]	Axis
[ ]	Axle
[ ]	Axon
[ ]	Axura

3.

What is the plural of axis?

[ ]	Axes
[ ]	Axii
[ ]	Axisis
[ ]	Azisisisisisis

4.

Which way on the page does the y axis go?

[ ]	Diagonal left to right
[ ]	Diagonal right to left
[ ]	Horizontally - left to right
[ ]	Vertically - up and down

5.

The axis that goes horizontally left to right is called what?

[ ]	The a axis
[ ]	The b axis
[ ]	The x axis
[ ]	The z axis

6.

Do axes have negative values as well as positive values?

[ ]	No, never
[ ]	Yes, always
[ ]	Only in the northern hemisphere
[ ]	Sometimes

7.

What is the name given to the point where the x and y axes intersect?

[ ]	Intersection
[ ]	Mid point
[ ]	Origin
[ ]	Starting point

8.

On the x axis, where are the negative figures relative to the y axis?

[ ]	Above the y axis
[ ]	Below the y axis
[ ]	To the left of the y axis
[ ]	To the right of the y axis

9.

What is the term used to define the exact position of a point on a graph?

[ ]	Coordinate
[ ]	Marker
[ ]	Pin
[ ]	Pointer

10.

There is only one quadrant on a graph that contains coordinates that have only positive figures in them. Which quadrant is it?

[ ]	1 (top right)
[ ]	2 (top left)
[ ]	3 (bottom left)
[ ]	4 (bottom right)

You can find more about this topic by visiting BBC Bitesize - Graphs

Maths Quiz - Level 3-4 Algebra - Graphs Introduction (Answers)

1.

A graph is normally drawn on a what?

[ ]	Grad
[x]	Grid
[ ]	Grod
[ ]	Grud

The paper on which a graph is drawn is often referred to as grid paper or graph paper - it has regular lines both across the page and up-and-down the page

2.

To start drawing a graph you first need to put two lines on the paper that show units of measurement. What is the name given to one of these lines?

[x]	Axis
[ ]	Axle
[ ]	Axon
[ ]	Axura

All points on the graph are measured from the x axis and the y axis

3.

What is the plural of axis?

[x]	Axes
[ ]	Axii
[ ]	Axisis
[ ]	Azisisisisisis

One axis but two axes (pronounced ack-sees)

4.

Which way on the page does the y axis go?

[ ]	Diagonal left to right
[ ]	Diagonal right to left
[ ]	Horizontally - left to right
[x]	Vertically - up and down

You need to ensure that you never confuse the two axes and therefore it is important to remember this rhyme: 'y goes high to the sky'

5.

The axis that goes horizontally left to right is called what?

[ ]	The a axis
[ ]	The b axis
[x]	The x axis
[ ]	The z axis

Y goes to the sky, x goes right to left

6.

Do axes have negative values as well as positive values?

[ ]	No, never
[x]	Yes, always
[ ]	Only in the northern hemisphere
[ ]	Sometimes

It should be noted that graphs are often drawn that show only the positive values, but this does not always mean that the negative values are unimportant

7.

What is the name given to the point where the x and y axes intersect?

[ ]	Intersection
[ ]	Mid point
[x]	Origin
[ ]	Starting point

The coordinates of the origin are (0, 0)

8.

On the x axis, where are the negative figures relative to the y axis?

[ ]	Above the y axis
[ ]	Below the y axis
[x]	To the left of the y axis
[ ]	To the right of the y axis

The y axis crosses the x at its 0 point

9.

What is the term used to define the exact position of a point on a graph?

[x]	Coordinate
[ ]	Marker
[ ]	Pin
[ ]	Pointer

The coordinates firstly give the position along the x axis and then the position along the y axis. To remember which number comes first, remember that x comes before y in the alphabet

10.

There is only one quadrant on a graph that contains coordinates that have only positive figures in them. Which quadrant is it?

[x]	1 (top right)
[ ]	2 (top left)
[ ]	3 (bottom left)
[ ]	4 (bottom right)

The first quadrant is the top right and then you move from one quadrant to the next in an ANTICLOCKWISE direction