Grade 10 Maths · Functions

Plot and read points

Read the coordinates of a point on a graph, or plot a given point in the right place (for example the point (3; −2) is 3 right and 2 down).

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Plotting Points on a Coordinate Plane | All 4 QuadrantsMath with Mr. J

Introduction to the coordinate planeKhan Academy

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Question 2.1 · May/June 2025 · Paper 2 · National (DBE) · 3 marks

The manager of a supermarket decided to do a survey on the number of items that a customer ordered online and the time (in minutes) that a packer took to have the order ready for delivery.

The supermarket received

10

online orders on a certain day. The information for these

10

orders is shown below.

Number of items (x): 10, 3, 20, 14, 17, 9, 12, 18, 15, 19
Time (in minutes) (y): 5, 5, 9, 7, 6, 6, 8, 11, 10, 12

2.1 Draw a scatter plot on the grid provided in the ANSWER BOOK.(3) Diagram for question 2.1

Work it out on paper first. Then mark yourself with the official memo, one tick at a time.

More past paper questions: plot and read points

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3. Question WE23.4 · Siyavula Grade 8 Mathematics, 23 Graphs, The Cartesian plane, Worked example 23.4 · 2 marks
$Diagram for this question$
WE23.4 The diagram shows the Cartesian plane and two points. The points are labelled $A$ and $B$ . Write down the coordinates of $A$ and $B$ .(2)
Show the memo (2 ticks)Memo
1. ✓
  Coordinates of B $B$ is $6$ units to the right of the origin and $5$ units above it.
  $B (6; 5)$
  1 mark · Plot and read points
2. ✓
  Coordinates of A $A$ lies on the $y$ -axis, so its $x$ -coordinate is $0$ . It is $6$ units below the origin.
  $A (0; - 6)$
  1 mark · Plot and read points
4. Question b · Siyavula Grade 8 Mathematics, 23 Graphs, Drawing global graphs, Worked example 23.2 · 2 marks
Forty learners completed a physical fitness test consisting of different exercises. $5$ learners completed the test in $10$ minutes, $7$ learners completed the test in $15$ minutes, $8$ learners completed the test in $20$ minutes, $11$ learners completed the test in $25$ minutes, $6$ learners completed the test in $30$ minutes and $3$ learners completed the test in $35$ minutes.
Use the information provided to answer the questions.
b Use the information provided to draw a suitable graph.(2)
Show the memo (2 ticks)Memo
1. ✓
  Plot the pointsPlot the points $(10; 5)$ , $(15; 7)$ , $(20; 8)$ , $(25; 11)$ , $(30; 6)$ and $(35; 3)$ with time (minutes) on the horizontal axis and number of learners on the vertical axis.
  1 mark · Plot and read points
2. ✓
  Points not joinedThe data is discrete, so the points are not joined by a line (see the graph). $Memo diagram$
  1 mark · Interpret or draw a global graph
5. Question 5.4 · November 2025 · Paper 2 · Provincial · 1 mark
Given: $f (x) = a sin (\frac{x}{2}) - 1$ and $g (x) = cos x + q$ , $x \in [- 90°; 270°]$

The graphs of $f$ and $g$ are drawn below.

Use the graphs to answer the following questions where $x \in [- 90°; 270°]$ : $Diagram for this question$
5.4 Write down the value(s) of $x$ where $f (x) - g (x) = - 2$ (1)
Show the memo (1 tick)Memo
1. ✓
  Answer $x = 0°$
  1 mark · Plot and read points
6. Question 6.5.1 · November 2024 · Paper 2 · Provincial · 1 mark
The graph of $f (x) = cos (x + 30°)$ in the interval of $x \in [- 120°; 150°]$ has been drawn in the diagram below. $Diagram for this question$
6.5 Use the graph to answer the following questions in the interval $x \in [- 120°; 150°]$ .

For which values of $x$ is:
6.5.1 $f$ having a minimum value?(1)
Show the memo (1 tick)Memo
1. ✓
  Answer $x = 150°$
  1 mark · Plot and read points

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