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Maths Quiz - Level 5-6 Algebra - Graphs 01 (Questions)

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 Kids

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A graph is like a super useful chart showing info. Drawing one means accurately placing points on a grid and connecting them. Points have coordinates, telling you their distance from the x and y axes. The axes meet at 0 and go both negative and positive.

Dive into this quiz to get comfy with graphs! Take your time, read each question carefully, and check the comments after. They'll help clear up anything you find tricky. Good luck!

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1. Which of the following is the correct way of writing coordinates?
[ ] (3, 4)
[ ] 3 + 4
[ ] 3, 4
[ ] 34
2. Which of these points is furthest from the y-axis?
[ ] (2, -3)
[ ] (-5, 5)
[ ] (-2, 1)
[ ] (7, -3)
3. Which of these points is furthest from the x-axis?
[ ] (2, -3)
[ ] (-5, 5)
[ ] (-2, 1)
[ ] (7, -3)
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
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
6. Which of these points is on the y-axis?
[ ] (5, -5)
[ ] (5, 0)
[ ] (-5, 0)
[ ] (0, -5)
7. Which of these points is not on the line x + y = 6?
[ ] (2, 4)
[ ] (3, -3)
[ ] (5, 1)
[ ] (-1, 7)
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)
9. Which of these points is on the line y = x - 2?
[ ] (2, -4)
[ ] (-4, 2)
[ ] (-2, 4)
[ ] (-2, -4)
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)

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

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Maths Quiz - Level 5-6 Algebra - Graphs 01 (Answers)
1. Which of the following is the correct way of writing coordinates?
[x] (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)
[x] (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)
[x] (-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] 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] 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)
[x] (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)
[x] (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)
[x] (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)
[x] (-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)
[x] (-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