Mathematics P2 Grade 11 Nov 2018 Afr

Exam Information

• Title: National Senior Certificate Grade 11 Mathematics V2

• Date: November 2018

• Duration: 3 hours

• Pages: 16 pages + 24 page answer book

Instructions

• Number of Questions: 11 questions in total

• Answering Location: All answers must be in the special answer book provided

• Calculations: Clearly indicate all calculations, diagrams, and graphs used

• Partial Credit: Full points are not awarded for answers alone

• Rounding: Round answers to two decimal places if needed, unless stated otherwise

• Diagrams: Not necessarily to scale

• Calculator Usage: Only use an approved non-programmable scientific calculator unless indicated otherwise

• Legibility: Write neatly and legibly

Questions Breakdown

Question 1: Obstacle Race Times of Teams

• 1.1: Determine the fastest time (minutes)

• 1.2: Calculate the average time of the team (2 points)

• 1.3: Calculate the standard deviation (1 point)

• 1.4: Determine how many members finished outside of two standard deviations from the mean (3 points)

• 1.5: Calculate the value of x if another team's total time is x + 5 minutes with a combined average of 18 minutes (3 points)

Question 2: Age Distribution of Soccer Players

• 2.1: Based on a cumulative frequency graph

  • 2.1.1: Total participants in the tournament

  • 2.1.2: Number of players aged 24 to 31 years

  • 2.1.3: Complete frequency column of the provided table

  • 2.1.4: Draw a frequency polygon using the provided data (4 points)

Question 3: Geometry and Slopes

• 3.1: Calculate the gradient of line BC

• 3.2: Find the equation of line AD

• 3.3: Determine t-value using coordinate M

• 3.4: Calculate the length of AN

• 3.5: Coordinates for point D based on a given line

• 3.6: Prove ABCD is a parallelogram

• 3.7: Calculate coordinates of point M (19 points)

Question 4: Calculating Gradients and Angles

• 4.1: Calculate the gradient of FG

• 4.2: Determine y-value for point C

• 4.3: Calculate angle Θ

• 4.4: Determine length of NC (12 points)

Question 5: Trigonometric Calculations and Identities

• 5.1: Geometry involving points and angles

  • Determine values of x, tan, cos, sin

• 5.2: Simplification of trigonometric expression without calculator

• 5.3: Prove a given trigonometric identity

• 5.4: Find the general solution of the provided equation (28 points)

Question 6: Functions and Graphs

• 6.1: Write down the range of function f

• 6.2: Determine c for point M

• 6.3: Write down values of a and b

• 6.4: Finding coordinates of intersection point Q

• 6.5: Length of line segment KM parallel to y-axis

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