WorksheetsProbability Test (Year 7)
Total questions: 30
Worksheet time: 8hrs 30mins
Welcome to the Year 7 Probability Test.
Please read the following instructions before you start.
1) Make sure that you have joined using your Full Name (if not, quit now and join again using your full name). You'll receive a zero if you fail to use your correct full name.
2) You have up to 60 minutes to complete the test. Any questions attempted after the time limit will not be marked.
3) There is no specific time limit on each question.
4) Some questions contain a picture and may take a few seconds to load. Be patient.
5) You can use a calculator during the test.
6) You can refer to your bound reference during the test.
7) You need a pen and a work book (or sheets of blank paper) to work out some of the questions. Get them ready.
8) You can attempt the test more than once. However, your second lowest score will be used as your result if you attempt more than once.
9) After you finish the test, you will see a result. However, your actual result might be different. Your actual result will be updated on Compass.
Do you fully understand the above instructions?
Yes, I understand fully
Yes, I fully understand
Choose the right word to describe the chance of the event happening.
a) A coin is tossed and the result is a tail
b) A standard die is rolled and the result is zero
a) even; b) impossible
a) even; b) certain
a) certain; b) impossible
a) certain; b) even
Choose the right word to describe the chance of the event happening.
a) 6 red marbles are placed in a bag and a red one is drawn
b) A card is drawn from a standard deck and it is a red
a) impossible; b) even
a) even; b) certain
a) certain; b) even
a) impossible; b) certain
Choose the right word to describe the statement:
The sun will rise and set at the exact same time each day
Impossible
Even
Certain
Choose the right word to describe the statement:
If it is raining the ground in the courtyard will be wet
Certain
Impossible
Even
Choose the right word to describe:
If I tossed three coins in a row and got heads every time what is the chance I will get heads again?
Impossible
Certain
Even
Choose the right word to describe:
If a mother had 5 boys in her family what is the chance next time she has a baby it will be a boy?
Certain
Even
Impossible
When rolling a standard die:
a) How many outcomes are there?
b) What is the probability of rolling a 2?
c) Are the chances of rolling a 3 or a 6 the same?
3; 0; No
6; 1/6; Yes
3; 2/6; No
6; 2/6; Yes
When rolling a unbiased coin;:
a) How many outcomes are there?
b) What is the probability of getting a head?
c) Are the chances of getting a head or a tail the same?
1; 1/2; yes
2; 1/2; yes
3; 1/3; No
2; 1/3; No
Choose the option which describes the probability correctly
A:impossible B:unlikely C:even chance
A:possible B:unlikely C:even chance
A:impossible B:likely C:even chance
A:impossible B:even chance C:likely
Choose the option which describes the probability correctly
C:even chance; D:unlikely; E:certain
C:even chance; D:likely; E:certain
C:impossible; D:likely; E:certain
C:even chance; D:likely; E:impossible
Consider the spinner you see. Find the probability of getting
a) yellow
b) blue
a) 1/5 or 50%; b) 1/4 or 25%
a) 1/5 or 0.5; b) 1/4 or 0.4
a) 1/2 or 50%; b) 0.25 or 40%
a) 1/2 or 0.5; b) 1/4 or 25%
Consider the spinner you see. Find the probability of getting
a) green
b) red
a) 1/8; b) 1/4
a) 1/8; b) 12.5%
a) 0.125; b) 1/4
a) 1/16; b) 1/16
Jim thinks that when you toss two unbiased coins and you will most likely to get a head and a tail.
Is he right?
No
Yes
It depends
Tom thinks that when you roll two six-sided dice and add them together you will most often score a 7.
Is he right?
Yes
No
It depends
Leah has worn a yellow shirt on 6 of the last 15 days. How much do you expect to see her in yellow tomorrow?
6/21
1/6
2/5
1/15
In a restaurant, 5 customers ordered a pizza, another 6 went for a burger and the rest 4 asked for a sandwich. Now the next customer comes in, what is the experimental probability of he ordering a pizza?
0
1/3
30%
5:6:4
List the sample space for the outcomes of rolling a standard die
{6}
{1,2,3,4,5,6}
1/6
16.6%
List the sample space of the outcomes of tossing two coins.
1/2
1/4
{head head; head tail; tail tail}
{head head; head tail; tail head; tail tail}
When a standard die is rolled, Find the probability of
1) landing on an even number;
2) landing on a number that is greater than 6
1/3; 0/6
50%; 0%
1/3;1/6
50%; 17%
Find the probability of the spinner landing on a letter that is NOT A.
Pr(not A) =
5/8
3/4
2/8
1/4
When picking a card from a standard deck (52 in total, excluding jokers), which option contains two complementary events?
"picking a Jack" and "picking a King"
"picking a Diamond" and "picking a Spade"
"picking a card red card" and "picking a black card"
"picking a red card" and "picking a diamond"
What is the complementary event of "at least one Year 10 student loves learning Maths"?
"at least one student from Year 9 loves learning maths"
"all Year 10 students love learning maths"
"none of the Year 10 students loves learning maths"
"two or more Year 10 students love learning maths"
When tossing a biased coin, the probability of getting the head is 55%. Find the probability of getting the tail when tossing this coin.
0.45
4.5%
0.50
50%
State whether the following events are mutually exclusive or not.
When a standard die is rolled, ‘rolling an even number’ vs ‘rolling a number less than 2’.
Yes, they are mutually exclusive
No, they are not mutually exclusive
State whether the following events are mutually exclusive or not.
When a card is drawn at random from a standard deck, ‘getting a red card’ vs ‘getting a Queen’
Yes, they are mutually exclusive
No, they are not mutually exclusive
None of the above
Find the percentage of people who attended the basketball game ONLY.
29%
47%
25%
54%
Complete the two way table (in your book) and find Pr (A)
7/20
11/20
2/20
4/20
What is the probability that someone plays basketball?
0.60
0.68
0.52
0.46
The diagram shows the sports played by 80 students.
If a student is picked at random, what is the probability that they don't play Rugby?
24/80
77/80
23/80
17/80
