Mathematics Grade 9 P2 November Mock 2026 QP (Eng)

Mock hlayiso mock exams Practice Series: Grade 9 Exam Preparation WWW.HLAYISO.COM SENIOR PHASE END-OF-YEAR EXAMINATION GRADE 9 MATHEMATICS P2 NOVEMBER 2026 (MOCK) MARKS: 75 TIME: 1½ hours This question paper consists of 14 pages. Copyright reserved Please turn over

Mathematics/P2 2 Hlayiso/Mock 2026 Senior Phase Mock NAME OF LEARNER: GRADE/CLASS: INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of SIX questions: SECTION A (QUESTION 1) and SECTION B (QUESTIONS 2 to 6). 2. Answer ALL the questions ON THIS QUESTION PAPER in the spaces provided. 3. Answer QUESTION 1 by circling the letter next to the correct answer. 4. Clearly show ALL calculations, diagrams, etc. that you have used in determining your answers. Answers only will NOT necessarily be awarded full marks. 5. Give reasons for ALL geometry statements, unless stated otherwise. 6. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. 7. If necessary, round off answers to TWO decimal places, unless stated otherwise. Use π = 3,14 where needed. 8. Diagrams are NOT necessarily drawn to scale. 9. Write neatly and legibly. FOR OFFICIAL USE ONLY QUESTION 1 2 3 4 5 6 TOTAL MAXIMUM 5 16 20 10 12 12 75 OBTAINED Copyright reserved Please turn over

Mathematics/P2 3 Hlayiso/Mock 2026 Senior Phase Mock SECTION A QUESTION 1 Answer the following questions by choosing the correct answer. Circle the letter next to the correct answer. 1.1 Straight lines PQ and RS intersect at T. PT̂R = 2x + 30◦ and QT̂S = 110◦ . S P T 110◦ 2x + 30◦ Q R The value of x is … A 35◦ B 40◦ (1) C 55◦ D 70◦ 1.2 Which quadrilateral ALWAYS has diagonals that are equal in length AND bisect each other at right angles? A Rectangle B Rhombus (1) C Square D Kite 1.3 Which ONE of the following is NOT a condition for two triangles to be congruent? A ∠∠∠ (three angles equal) B SAS (s∠s) (1) C RHS (90◦ HS) D SSS 1.4 Point P(−3 ; 4) is reflected in the x-axis. The coordinates of the image P′ are … A (3 ; 4) B (−3 ; −4) (1) C (3 ; −4) D (4 ; −3) 1.5 A water tank holds 2,4 kℓ of water. The volume of the water in cm3 is … A 2 400 cm3 B 24 000 cm3 (1) C 240 000 cm3 D 2 400 000 cm3 [5] Copyright reserved Please turn over

Mathematics/P2 4 Hlayiso/Mock 2026 Senior Phase Mock SECTION B QUESTION 2 2.1 In the diagram, ABC is a straight line. B̂1 = x, B̂2 = 2x and B̂3 = 3x − 30◦ . E D 2 3 1 A C B 2.1.1 Complete the statements and reasons in the table to calculate the value of x. (4) STATEMENT REASON B̂1 + B̂2 + B̂3 = x + 2x + 3x − 30◦ = 180◦ Substitution 6x = ∴x= 2.1.2 Hence, calculate the size of B̂3 . (1) Copyright reserved Please turn over

Mathematics/P2 5 Hlayiso/Mock 2026 Senior Phase Mock 2.2 In the diagram, AB ∥ CD. The straight line EF cuts AB at G and CD at H. GK meets CD at K. EĜB = 68◦ and BĜK = 40◦ . Angles a, b and c are shown. E G 68◦ A B 40◦ c a b C D H K F Calculate, with reasons, the sizes of a, b and c. (6) STATEMENT REASON Copyright reserved Please turn over

Mathematics/P2 6 Hlayiso/Mock 2026 Senior Phase Mock 2.3 In the diagram, the straight line TU cuts PQ at V and RS at W. PV̂W = 3x + 40◦ , QV̂W = 5x − 20◦ and VŴS = 4x + 20◦ . T V P Q 3x + 40◦ 5x − 20◦ 4x + 20◦ R S W U 2.3.1 Calculate, with reasons, the value of x. (3) STATEMENT REASON 2.3.2 Hence, prove that PQ ∥ RS. (2) STATEMENT REASON [16] Copyright reserved Please turn over

Mathematics/P2 7 Hlayiso/Mock 2026 Senior Phase Mock QUESTION 3 3.1 Choose a quadrilateral from the list below that matches each description. Write only the name of the quadrilateral in the space provided. Parallelogram Rectangle Rhombus Square Kite Trapezium 3.1.1 It has only ONE pair of opposite sides parallel. (1) 3.1.2 It has two pairs of equal adjacent sides and its diagonals are perpendicular, but its opposite sides are not parallel. (1) 3.1.3 All four sides are equal and its diagonals bisect each other at right angles, but its angles are not right angles. (1) 3.2 In △KLM, KL = KM and LM is produced to N. K̂ = x + 10◦ and KM̂N = 3x − 20◦ . K x + 10◦ | | 1 3x − 20◦ L M N Calculate, with reasons, the value of x. (4) STATEMENT REASON Copyright reserved Please turn over

Mathematics/P2 8 Hlayiso/Mock 2026 Senior Phase Mock 3.3 ABCD is a parallelogram. Â = 3y − 10◦ and B̂ = 2y + 15◦ . D C 3y − 10◦ 2y + 15◦ A B Calculate, with reasons, the value of y. (3) STATEMENT REASON 3.4 In the diagram, straight lines AB and CD intersect at E. AE = EB and CE = ED. AC and DB are joined. D A | || E 1 2 | || B C 3.4.1 Prove that △AEC ≡ △BED. (4) STATEMENT REASON 3.4.2 Hence, write down the side of △BED that is equal to AC. Give a reason. (1) Copyright reserved Please turn over

Mathematics/P2 9 Hlayiso/Mock 2026 Senior Phase Mock 3.5 In △MNP and △RST, M̂ = R̂ and N̂ = Ŝ. MN = 6 cm, NP = 9 cm and RS = 8 cm. T P 9 cm M 6 cm N R 8 cm S 3.5.1 Prove that △MNP ||| △RST. (3) STATEMENT REASON 3.5.2 Calculate the length of ST. (2) [20] Copyright reserved Please turn over

Mathematics/P2 10 Hlayiso/Mock 2026 Senior Phase Mock QUESTION 4 △ABC with vertices A(1 ; 2), B(4 ; 2) and C(1 ; 5) is drawn on the Cartesian plane below. y 6 C 4 2 A B x −6 −4 −2 0 2 4 6 −2 −4 −6 4.1 Reflect △ABC in the y-axis. Draw the image △A′ B′ C′ on the Cartesian plane above and label the coordinates of A′ , B′ and C′ . (3) 4.2 Write down the rule for the transformation in QUESTION 4.1 in the form (x ; y) → (. . . ; . . .). (1) 4.3 △ABC is translated 2 units to the left and 6 units down to form △A′′ B′′ C′′ . 4.3.1 Write down the rule for this translation in the form (x ; y) → (. . . ; . . .). (1) 4.3.2 Write down the coordinates of B′′ . (1) 4.4 Write down the coordinates of the image of C if C is reflected in the line y = x. (1) 4.5 △ABC is enlarged by a scale factor of 2, with the origin as the centre of enlargement, to form △DEF. 4.5.1 Write down the coordinates of D, E and F. (2) 4.5.2 How many times bigger is the area of △DEF than the area of △ABC? (1) [10] Copyright reserved Please turn over

Mathematics/P2 11 Hlayiso/Mock 2026 Senior Phase Mock QUESTION 5 5.1 ABCD is a trapezium with AB ∥ DC and AD ⊥ DC. AB = 9 cm, DC = 15 cm and AD = 8 cm. A 9 cm B 8 cm D E C 15 cm 5.1.1 BE ⊥ DC. Calculate the length of BC. (3) 5.1.2 Calculate the perimeter of trapezium ABCD. (1) 5.1.3 Calculate the area of trapezium ABCD. (2) Copyright reserved Please turn over

Mathematics/P2 12 Hlayiso/Mock 2026 Senior Phase Mock 5.2 A school sports field consists of a rectangle that is 60 m long and 40 m wide, with a semicircle on each of the two shorter sides, as shown in the sketch. Use π = 3,14. 60 m 40 m pitch 5.2.1 Calculate the perimeter of the field. (3) 5.2.2 The whole field must be planted with grass, except a rectangular cricket pitch of 22 m by 3 m (unshaded). Calculate the area that must be planted with grass. (3) [12] Copyright reserved Please turn over

Mathematics/P2 13 Hlayiso/Mock 2026 Senior Phase Mock QUESTION 6 6.1 A chocolate box is in the shape of a right triangular prism. The triangular ends are right-angled triangles with perpendicular sides of 5 cm and 12 cm. The box is 20 cm long. 12 cm 20 cm 5 cm 6.1.1 Calculate the length of the third side (hypotenuse) of the triangular end. (2) 6.1.2 Calculate the volume of the box. (2) 6.1.3 Calculate the total surface area of the box. (3) Copyright reserved Please turn over

Mathematics/P2 14 Hlayiso/Mock 2026 Senior Phase Mock 6.2 A closed cylindrical water tank has a diameter of 1,4 m and a height of 1,5 m. Use π = 3,14. 1,4 m 1,5 m 6.2.1 Calculate the volume of the tank in m3 . (3) 6.2.2 How many litres of water can the tank hold? (1 m3 = 1 000 ℓ) (1) 6.2.3 If the radius of the tank is doubled and the height stays the same, how many times bigger will the volume be? (1) [12] TOTAL: 75 Copyright reserved