Date: SEPTEMBER 2025
Time: 1 HOUR
Marks: 50
Grade: 12
Subject: MATHEMATICS
Question paper: TERM TEST 3
Name and Surname:
INFORMATION AND INSTRUCTIONS TO LEARNERS
1 Read all questions carefully.
2 Answer all questions.
3 Show all calculations and steps. Answers without calculations will not receive
any credit.
4 Write neatly and legibly. Use a blue or black pen.
5 Use a pencil for graphs, constructions and the scatter diagram.
Topics in this paper
• Probability and Counting Principles
• Financial Mathematics
• Statistics
Pg 1/ 7 www.summariessa.co.za Author: CHR SMI
Grade: 12 Subject: Mathematics Date: SEPTEMBER 2025
, Question 1: Probability & Counting Principles (20 marks)
A matriculation class of 15 learners must decide between three sporting activities for
an outing: soccer, netball, and cricket. The results of a survey are as follows:
Sport Boys Girls Total
Soccer 4 3 7
Netball 2 5 7
Cricket 3 3 6
Total 9 11 20
1.1 Determine the probability that a learner:
a) is a boy. (2)
b) is a girl who plays netball. (2)
c) plays netball or is a boy. (3)
1.2 Are the events “boy” and “netball” mutually exclusive? Motivate. (2)
1.3 Are the events “soccer” and “girl” independent? Show calculation. (4)
1.4 The 20 learners are going to stand in a row for a group photo.
a) In how many ways can they stand if there are no restrictions? (2)
b) In how many ways can they stand if all the girls have to stand together? (2)
Pg 2/ 7 www.summariessa.co.za Author: CHR SMI
Grade: 12 Subject: Mathematics Date: SEPTEMBER 2025
Time: 1 HOUR
Marks: 50
Grade: 12
Subject: MATHEMATICS
Question paper: TERM TEST 3
Name and Surname:
INFORMATION AND INSTRUCTIONS TO LEARNERS
1 Read all questions carefully.
2 Answer all questions.
3 Show all calculations and steps. Answers without calculations will not receive
any credit.
4 Write neatly and legibly. Use a blue or black pen.
5 Use a pencil for graphs, constructions and the scatter diagram.
Topics in this paper
• Probability and Counting Principles
• Financial Mathematics
• Statistics
Pg 1/ 7 www.summariessa.co.za Author: CHR SMI
Grade: 12 Subject: Mathematics Date: SEPTEMBER 2025
, Question 1: Probability & Counting Principles (20 marks)
A matriculation class of 15 learners must decide between three sporting activities for
an outing: soccer, netball, and cricket. The results of a survey are as follows:
Sport Boys Girls Total
Soccer 4 3 7
Netball 2 5 7
Cricket 3 3 6
Total 9 11 20
1.1 Determine the probability that a learner:
a) is a boy. (2)
b) is a girl who plays netball. (2)
c) plays netball or is a boy. (3)
1.2 Are the events “boy” and “netball” mutually exclusive? Motivate. (2)
1.3 Are the events “soccer” and “girl” independent? Show calculation. (4)
1.4 The 20 learners are going to stand in a row for a group photo.
a) In how many ways can they stand if there are no restrictions? (2)
b) In how many ways can they stand if all the girls have to stand together? (2)
Pg 2/ 7 www.summariessa.co.za Author: CHR SMI
Grade: 12 Subject: Mathematics Date: SEPTEMBER 2025
