Post-Learning
Assessment
Year 9 Module 6 : Handling data & probability
Name: ………………………………………………………………….
Class: ……………………………………………………………………
Teacher: ……………………………………………………………….
You need:
 A Pen
 A Pencil
 A Ruler
 A Calculator
What are we learning this half term?
Unit 18: Probability

In this unit you will learn about probability. This will include the language of probability and the probability
scale. You will look at finding and calculating probabilities of single events as well as two events. There will
also be the chance to explore experimental probabilities and how they compare with theoretical probabilities.
Unit 19: Working with data

In this unit you will extend your data handling skills by comparing sets of data using averages and the range.
You will also look at how to estimate the mean of a set of grouped data.
Unit 20: Scatter graphs

In this unit you will build look at relationships between two sets of data using scatter graphs. You will explore
different types of relationships and how scatter graphs can be used for interpolation and extrapolation.
Pre-Learning Assessment Mark:
50
Teacher Comment:
Unit 18
1. The letters from the word MATHEMATICS are written on cards and placed in a bag.
Alana picks one card at random from the bag. Work out the probability that:
a. She picks the letter C
………………………………..(1)
b. She picks the letter M
……………………………….(1)
c. She picks a vowel
……………………………..(1)
2. Use the numbers 3, 4 and 5 as many times as you like on the spinner below to make
these statements true:
‘You are more likely to get even number than an odd number’
‘You are twice as likely to get a 3 than to get a 5’
(2)
3. The probability that a die will land on 1, 2, 3, 4, or 5 is given in the table below.
Score
1
2
3
4
5
6
probability
25%
20%
15%
15%
10%
Work out the probability that the die will land on 6.
………………………………..(2)
4. Terrance has a spinner with scores 1 to 4. The table shows the probabilities of scores
3 and 4.
Outcome
1
2
3
4
1
1
Probability
𝑥
𝑥
5
10
a. Workout the value of 𝑥.
(2)
b. Terrance spins the spinner 200 times. About how many times would you
expect to get a 3?
…………………………………….(1)
5. Ava has bag containing 8 red, 2 green and 10 blue marbles.
Decide whether each of the statements below are true or false.
1
a. The probability of picking a green marble is .
10
………………………………….(1)
b. The probability of picking a red or blue marble is 90%
…………………………………(1)
c. The probability of picking a blue marble is 10 : 10
..………………………….…(1)
d. The probability of picking a red or blue or green marble is equal to 1.
…….………………………….(1)
6. The two spinners here are spun and the total of the scores recorded.
a. Complete the sample space diagram to show all possible totals.
+
1
1
2
2
3
4
4
5
2
4
6
3
5
7
5
(1)
b. Find the probability of getting a total of 5.
…………………………………..(1)
c. Find the probability of getting an odd total.
………………………………….(1)
7. Keith flips a coin and rolls a 6-sided die.
He records the outcome on each one.
a. Draw a sample space diagram to show all the possible outcomes.
(2)
b. Calculate the probability of getting a head on the coin AND an even number
on the die.
…………………………………(1)
8. Jamal recorded the type of vehicles that passed the school gates. His results are in
the table below.
Colour
Red
Blue
Black
Silver/grey
White
Other
Frequency
8
3
10
5
4
10
Use Jamal’s results to find the probability that the next car driving past will be a blue
car? Give your answer as a fraction in its simplest form.
……………………………………(2)
9. Charlotte flips a biased coin 150 times and records whether it lands heads or tails.
Heads
85
Tails
65
a. Use Charlotte’s results to estimate the probability that the coin will show tails
when flipped.
……………………………………(1)
b. If Charlotte flips the coin 225 times, about how many times would you expect
it to show heads?
……………………………………(1)
c. Mary does the same experiment but she flips the coin 600 times. She
calculates the following probabilities as follows:
P(point up) = 0.44
P(point down) = 0.56
Whose results are more likely to be reliable, Charlotte’s or Mary’s? Explain why.
…………………………………………………………………………………………………………………….
……………………………………………………………………………………………………………………..
(1)
Unit 19
10. Here are the number of goals Carmen and Ciara scored in their last netball games:
Carmen:
Ciara:
6
5
4
2
8
0
10
5
5
15
7
3
9
1
a. Find the mean score for each player.
Carmen: …………………………………….
Ciara: ……………………………………
(3)
b. Find the range for each player.
Carmen: …………………………………….
Ciara: ……………………………………
(1)
c. Which player would you choose to have on your team? Explain your decision.
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
(1)
11. These five cards each show a number:
Find the value of 𝑥 if the median value is 4.4 and the range is 2.6
………………………………………..(2)
12. The stem and leaf diagram below shows the heights of students in a class.
a. Find the median height of the students.
………………………………………..(1)
b. What percentage of students are taller than 125 cm?
……………………………………….(2)
13. The bar chart below shows the total number of goals scored in some football
matches.
a. How many football matches were there?
………………………………….(1)
b. Calculate the mean number goals per game.
…………………………………(2)
14. The table below shows the height of some sunflower plants.
Height (cm)
90 ≤ x < 100
100 ≤ x < 110
110 ≤ x < 120
120 ≤ x < 130
130 ≤ x < 140
Frequency
4
5
7
4
3
a. Write down the modal class.
…………………………………………(1)
b. Work out an estimate for the mean height of sunflower plants.
………………………………………..(3)
c. Why is your answer to b. only an estimate?
………………………………………………………………………………………………………………
………………………………………………………………………………………………………………
(1)
Unit 20
15. A teacher records the marks achieved by a group of students in a maths test and an
English test.
Maths
test (%)
English
(%)
22
46
60
80
11
40
31
88
20
72
55
32
21
59
60
62
10
65
a. Represent this information on the axes below.
(2)
b. Describe the relationship between maths marks and English marks.
……………………………………………………………………………………………………………….
(1)
16. The scatter graph below shows the height and hand spans of some students.
a. Draw a line of best fit through the points shown.
(1)
b. Brenda has a hand span of 17 cm. Use your graph to estimate her height.
…………………………….. cm
(1)
c. Asher is 140 cm tall. Use your graph to estimate his hand span.
…………………………….… cm
(1)
d. Why might your answer to part c. be less reliable to your answer to part b.?
………………………………………………………………………………………………………………
……………………………………………………………………………………………………………….
(1)