Date: SEPTEMBER 2025
Time: 1 HOUR
Marks: 60
Grade: 11
Subject: MATHEMATICS
Question paper: 2
Name and Surname:
Instructions and information:
• Answer all questions
• Read the instructions for the questions carefully before attempting to answer
them.
• Write neatly and legibly
• Answers and calculations in pencil will not be taken into account.
• An approved calculator may be used, round to TWO decimal places.
• Good luck
Topics covered in this paper
• 2D-Trigonometry: Sine Rule, Cosine Rule and Area Rule
• Trigonometric Graphs: Sine, Cosine and Tangent Functions (amplitude,
period, equations and transformations)
• Number patterns: Series and sequences (arithmetic, geometric and quadratic
patterns, general terms, problem solving)
Pg 1/ 4 www.summariessa.co.za Author: CHR SMI
Grade: 11 Subject: Mathematics Date: SEPTEMBER 2025
, Question 1: 2- D Trig (Sine Rule, Cosine Rule and Area Rule). [19]
Study the diagram below and answer the questions that follow:
Given a diagram with𝑇𝑄̂ 𝑅 = 90°; 𝑄𝑆̂𝑃 = 40°; 𝑃𝑅̂ 𝑆 = 29°. 𝑄𝑆 = 30𝑚 & 𝑆𝑅 =
10𝑚. 𝑇𝑄̂ 𝑃 = 𝜃.
1.1) Give a reason why𝑃̂1 = 11° (1)
1.2) Calculate the length of PR. (4)
1.3) Calculate the length of the band PS. (2)
1.4) If it is given that𝑃𝑇̂𝑄 = 90°, calculate the void of TQ. (5)
1.5) Calculate the total area of TPRQ. (7)
Pg 2/ 4 www.summariessa.co.za Author: CHR SMI
Grade: 11 Subject: Mathematics Date: SEPTEMBER 2025
Time: 1 HOUR
Marks: 60
Grade: 11
Subject: MATHEMATICS
Question paper: 2
Name and Surname:
Instructions and information:
• Answer all questions
• Read the instructions for the questions carefully before attempting to answer
them.
• Write neatly and legibly
• Answers and calculations in pencil will not be taken into account.
• An approved calculator may be used, round to TWO decimal places.
• Good luck
Topics covered in this paper
• 2D-Trigonometry: Sine Rule, Cosine Rule and Area Rule
• Trigonometric Graphs: Sine, Cosine and Tangent Functions (amplitude,
period, equations and transformations)
• Number patterns: Series and sequences (arithmetic, geometric and quadratic
patterns, general terms, problem solving)
Pg 1/ 4 www.summariessa.co.za Author: CHR SMI
Grade: 11 Subject: Mathematics Date: SEPTEMBER 2025
, Question 1: 2- D Trig (Sine Rule, Cosine Rule and Area Rule). [19]
Study the diagram below and answer the questions that follow:
Given a diagram with𝑇𝑄̂ 𝑅 = 90°; 𝑄𝑆̂𝑃 = 40°; 𝑃𝑅̂ 𝑆 = 29°. 𝑄𝑆 = 30𝑚 & 𝑆𝑅 =
10𝑚. 𝑇𝑄̂ 𝑃 = 𝜃.
1.1) Give a reason why𝑃̂1 = 11° (1)
1.2) Calculate the length of PR. (4)
1.3) Calculate the length of the band PS. (2)
1.4) If it is given that𝑃𝑇̂𝑄 = 90°, calculate the void of TQ. (5)
1.5) Calculate the total area of TPRQ. (7)
Pg 2/ 4 www.summariessa.co.za Author: CHR SMI
Grade: 11 Subject: Mathematics Date: SEPTEMBER 2025
