Date: SEPTEMBER 2025
Time: 1 HOUR
Marks: 50
Grade: 10
Subject: TECHNICAL MATHEMATICS
Question paper: 1
Name and Surname:
Instructions to the candidate
• Read each question carefully. Answer all questions.
• Show complete steps. Incomplete or unclear work may cost marks.
• Use correct reasons for each geometry theorem or property.
• Round to 2 decimal places where necessary, unless otherwise indicated.
• Use neatness. Sketches must be clearly labeled.
• Equipment allowed: pencil, eraser, ruler, compass, protractor, compass, scientific
calculator.
• Diagrams are not to scale unless explicitly stated.
• Use unit labels for lengths and areas.
• Any invalidly abbreviated notes or illegible writing may result in loss of marks.
• Where an equation is required, give it in the requested form.
Page: 1/4 www.summariessa.co.za Author: CHR SMI
Grade: 10 Subject: TECH MATHEMATICS Date: SEPTEMBER 2025
, Question 1: Analytical Geometry
𝐴(−4; 2), and forms a triangle . M is the center of .𝐵(3; −1)𝐶(5; 4)𝐴𝐵𝐶𝐴𝐵
1.1 Determine the coordinates of M. [3]
1.2 Determine the gradient of line BC. [3]
1.3 Investigate whether . ∆𝐴𝐵𝐶 an isosceles triangle is, and motivate your
answer with calculations [5]
1.4 Determine the equation of line 𝐴𝐶 in the form 𝑦 = 𝑚𝑥 + 𝑐. [4]
5. Determine the 𝑥 coordinate of the point at 𝐴𝐶 where:
𝑦 = −5 [3]
[18]
Page: 2/4 www.summariessa.co.za Author: CHR SMI
Grade: 10 Subject: TECH MATHEMATICS Date: SEPTEMBER 2025
Time: 1 HOUR
Marks: 50
Grade: 10
Subject: TECHNICAL MATHEMATICS
Question paper: 1
Name and Surname:
Instructions to the candidate
• Read each question carefully. Answer all questions.
• Show complete steps. Incomplete or unclear work may cost marks.
• Use correct reasons for each geometry theorem or property.
• Round to 2 decimal places where necessary, unless otherwise indicated.
• Use neatness. Sketches must be clearly labeled.
• Equipment allowed: pencil, eraser, ruler, compass, protractor, compass, scientific
calculator.
• Diagrams are not to scale unless explicitly stated.
• Use unit labels for lengths and areas.
• Any invalidly abbreviated notes or illegible writing may result in loss of marks.
• Where an equation is required, give it in the requested form.
Page: 1/4 www.summariessa.co.za Author: CHR SMI
Grade: 10 Subject: TECH MATHEMATICS Date: SEPTEMBER 2025
, Question 1: Analytical Geometry
𝐴(−4; 2), and forms a triangle . M is the center of .𝐵(3; −1)𝐶(5; 4)𝐴𝐵𝐶𝐴𝐵
1.1 Determine the coordinates of M. [3]
1.2 Determine the gradient of line BC. [3]
1.3 Investigate whether . ∆𝐴𝐵𝐶 an isosceles triangle is, and motivate your
answer with calculations [5]
1.4 Determine the equation of line 𝐴𝐶 in the form 𝑦 = 𝑚𝑥 + 𝑐. [4]
5. Determine the 𝑥 coordinate of the point at 𝐴𝐶 where:
𝑦 = −5 [3]
[18]
Page: 2/4 www.summariessa.co.za Author: CHR SMI
Grade: 10 Subject: TECH MATHEMATICS Date: SEPTEMBER 2025
