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GENERAL EDUCATION AND
TRAINING
MATHEMATICS
Assignment 3
Input & output, Equations,
graphs and probability
2 November 2017
GRADE 8
MARKS: 50
∫ % ∑ 𝑇𝑎𝑠𝑘
Question 1
1. Consider the pattern of hexagons build with matches alongside
1.1.
Draw the fourth and fifth patterns
1.2.
Use the illustrations to complete the table below:
Number of hexagons
1
2
Number of matches used
6
11
(2)
3
4
5
6
(4)
2. Draw a flow diagram to represent the relationship between the number of
hexagons and the number of matches. Use number of hexagons as the input
variable and number of matches used as the output variable. Use the natural
number from 1 to 5 as your input value
3. How many matches where used to make seven hexagons?
(7)
(3)
4. Write a rule (algebraic equation) to describe the relationship between the number
of hexagons and number the number of matches.
(2)
5. Thapelo built a similar pattern using 61 matches. Use number sense to calculate
how many hexagons Thapelo’s pattern had.
(2)
[20]
Question 2
2.1 Solve the following equations
2.1.1
2𝑥 = 8
(2)
2.1.2
5𝑥 − 12 = 28
(3)
2.2 Use the formula 𝑦 = −𝑥 + 3
2.2.1 Draw a table of ordered pairs (𝑥; 𝑦) from−5 𝑡𝑜 5.
(5)
2.2.2 On 𝑥; 𝑦 𝑎𝑥𝑖𝑠 𝑠𝑦𝑠𝑡𝑒𝑚 plot the ordered pairs above (2.2.1).
(5)
2.2.3 Draw the graph.
(3)
[18]
Question 3
3.1 A month is chosen from a year. (Show your calculations)
3.1.1 Find the probability of selecting March.
(2)
3.1.2 Find the probability of choosing a month starts with “M”.
(3)
3.1.3 Find the probability of selecting a moth with 30 days.
(2)
3.2 A bag contains 20 coloured balls. Six are yellow, four are brown and ten are white.
3.2.1 What do you expect the outcome to be when taking a ball from the bag? Why?
(2)
3.2.2 What is the probability of the ball being:
i) A yellow ball?
(1)
ii) A brown ball
(1)
3.2.1 What is the probability of taking a yellow or a brown ball from the bag?
[12]
[TOTAL 50 MARKS]
(1)