Pre-Learning
Assessment
Year 9 Module : 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 PROBABILITY are written on cards and placed in a bag.
Emily picks one card at random from the bag. Work out the probability that:
a. She picks the letter R
………………………………..(1)
b. She picks the letter B
……………………………….(1)
c. She picks a vowel
……………………………..(1)
2. Use the numbers 1, 2 and 3 as many times as you like on the spinner below to make
these statements true:
‘You are more likely to get an odd number than an even number’
‘You are twice as likely to get a 1 than a 3’
(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
15%
25%
20%
10%
15%
Work out the probability that the die will land on 6.
………………………………..(2)
4. James 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
2
10
a. Work out the value of 𝑥.
(2)
b. James spins the spinner 100 times. About how many times would you expect
to get a 4?
…………………………………….(1)
5. Jenny has bag containing 10 red, 4 green and 6 blue marbles.
Decide whether each of the statements below are true or false.
a. The probability of picking a green marble is
4
16
.
………………………………….(1)
b. The probability of picking a red or blue marble is 80%
…………………………………(1)
c. The probability of picking a blue marble is 6 : 14
..………………………….…(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
2
4
3
5
3
4
4
5
(1)
b. Find the probability of getting a total of 4.
…………………………………..(1)
c. Find the probability of getting an even total.
………………………………….(1)
7. Jenna flips a coin and rolls a 4-sided die.
She 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 tail on the coin AND an odd number on
the die.
………………………………………….(1)
8. Corey recorded the colour of cars that passed the school gates. Her results are in the
table below.
Colour
Red
Blue
Black
Silver/grey
White
Other
Frequency
7
6
12
4
5
11
Use Corey’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. Hal drops a drawing pin 120 times and records whether it lands point up or point
down.
Point up
70
Point down
50
a. Use Hal’s results to estimate the probability that a drawing pin will land pin
down when dropped?
……………………………………(1)
b. If Hal drops the pin 300 times, about how many times would you expect it to
land point up?
……………………………………(1)
c. Marla does the same experiment but she drops the pin 500 times. She
calculates the following probabilities as follows:
P(point up) = 0.54
P(point down) = 0.46
Whose results are more likely to be reliable, Hal’s or Marla’s? Explain why.
…………………………………………………………………………………………………………………….
……………………………………………………………………………………………………………………..
(1)
Unit 19
10. Here are the total runs Jeet and Jo scored in their last 8 cricket matches:
Jeet: 33
42
50
46
40
52
58
35
Jo:
75
2
58
5
89
30
102
60
a. Find the mean score for each player.
Jeet: …………………………………….
Jo: ……………………………………
(3)
b. Find the range for each player.
Jeet: …………………………………….
Jo: ……………………………………
(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 4.6 and the range is 2.4
………………………………………..(2)
12. The stem and leaf diagram below shows the heights of some plants in a greenhouse.
a. Find the median height of the plants.
………………………………………..(1)
b. What percentage of plants were less than 25 cm tall?
……………………………………….(2)
13. The bar chart below shows the marks achieved in a vocabulary test by some
students.
a. How many students took the test?
………………………………….(1)
b. Calculate the mean score per student.
…………………………………(2)
14. The table below shows the mass of some apples collected in an orchard.
Mass (g)
90 ≤ x < 100
100 ≤ x < 110
110 ≤ x < 120
120 ≤ x < 130
130 ≤ x < 140
Frequency
3
4
4
8
6
a. Write down the modal class.
…………………………………………(1)
b. Work out an estimate for the mean mass of the apples.
………………………………………..(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 chemistry exam
and an art exam.
Chemistry
mark (%)
Art mark
(%)
23
44
75
66
21
6
22
91
23
77
56
21
35
62
71
67
12
66
a. Represent this information on the axes below.
(2)
b. Describe the relationship between chemistry marks and art marks.
……………………………………………………………………………………………………………….
(1)
16. The scatter graph below shows the height and weight of some students.
a. Draw a line of best fit through the points shown.
(1)
b. Carlos weighs 69 kg. Use your graph to estimate his height.
…………………………….. cm
(1)
c. Asha is 140 cm tall. Use your graph to estimate her weight.
…………………………….…kg
(1)
d. Why might your answer to part c. be less reliable than your answer to part b.?
………………………………………………………………………………………………………………
……………………………………………………………………………………………………………….
(1)