Grade 9 Maths Practice Paper 2

Topics covered

• Angles and parallel lines
• Triangles and the exterior angle
• Theorem of Pythagoras
• Area and volume
• Transformation geometry
• Similar triangles
• Data handling
• Probability

Questions with worked answers

• Question 1: Parallel lines (4 marks). AB ∥ CD. A transversal makes co-interior angles of 3x + 15° and 2x + 15° with the two lines. Find x.
• Question 2: Triangles (3 marks). The exterior angle at C of △ABC is 125°, and  = 70°. Find B̂.
• Question 3: Theorem of Pythagoras (4 marks). A 6.5 m ladder leans against a wall. Its foot is 2.5 m from the wall. How high up the wall does it reach?
• Question 4: Area (4 marks). Find the area of a circle with a diameter of 14 cm. Give your answer correct to two decimal places.
• Question 5: Volume (4 marks). A triangular prism has a triangular face with base 6 cm and height 4 cm, and a length of 10 cm. Find its volume.
• Question 6: Transformations (4 marks). A(−3; 2) is reflected in the y-axis and the image is then translated 2 units down. Find the final coordinates.
• Question 7: Similar triangles (4 marks). △PQR ||| △STU with PQ = 8 cm, ST = 12 cm and QR = 10 cm. Find TU.
• Question 8: Data handling (4 marks). For the data 7; 3; 9; 7; 4; 6; 7 find the mean, median, mode and range.
• Question 9: Probability (4 marks). Two fair dice are rolled. What is the probability that the total is 8?

How to use this paper

• Draw and label a diagram for every geometry and measurement question.
• Write reasons in the short form your teacher uses, such as 'co-int ∠s, AB ∥ CD'.
• Check units in every measurement answer.

Frequently asked questions

Is this an official Grade 9 paper?

No. It is a Snap&Learn practice paper in the style of a CAPS Grade 9 Paper 2.

How are geometry questions marked?

Usually one mark for each correct statement and one for each correct reason. A correct angle without a reason often earns only half the marks.