Mathematics Grade 8 Paper 2 November Mock 2026 Question Paper

Copyright reserved Please turn over Mock hlayiso mock exams Practice Series: Grade 8 Exam Preparation WWW.HLAYISO.COM SENIOR PHASE END-OF-YEAR EXAMINATION GRADE 8 MATHEMATICS P2 NOVEMBER 2026 (MOCK) MARKS: 75 TIME: 1½ hours This question paper consists of 15 pages.

Mathematics/P2 2 Senior Phase Mock Hlayiso/Mock 2026 NAME OF LEARNER: GRADE/CLASS: INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of EIGHT questions: SECTION A (QUESTION 1) and SECTION B (QUESTIONS 2 to 8). 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 7 8 TOTAL MAXIMUM 10 14 14 8 9 8 4 8 75 OBTAINED Copyright reserved Please turn over

Mathematics/P2 3 Senior Phase Mock Hlayiso/Mock 2026 SECTION A QUESTION 1 Answer the following questions by choosing the correct answer. Circle the letter next to the correct answer. 1.1 An angle of 215◦is called … A an acute angle. B an obtuse angle. C a reflex angle. D a straight angle. (1) 1.2 In the diagram, KL ∥MN and the straight line PQ cuts both lines. K L M N Q P 115◦ x The value of x is … A 115◦ B 25◦ C 65◦ D 75◦ (1) 1.3 In quadrilateral PQRS, ˆP = 100◦, ˆQ = 80◦and ˆR = 95◦. The size of ˆS is … A 85◦ B 95◦ C 75◦ D 105◦ (1) 1.4 Which quadrilateral has diagonals that bisect each other at right angles, but are NOT equal in length? A Rectangle B Square C Trapezium D Rhombus (1) 1.5 Two triangles have two sides and the angle between them (the included angle) equal. The triangles are congruent because of the condition … A SAS (s∠s) B SSS C AAS (∠∠s) D RHS (90◦HS) (1) Copyright reserved Please turn over

Mathematics/P2 4 Senior Phase Mock Hlayiso/Mock 2026 1.6 Which set of side lengths will form a right-angled triangle? A 4 cm; 5 cm; 6 cm B 5 cm; 12 cm; 13 cm C 6 cm; 7 cm; 9 cm D 8 cm; 10 cm; 12 cm (1) 1.7 The area of a circle with a radius of 10 cm is … (Use π = 3,14.) A 31,4 cm2 B 62,8 cm2 C 314 cm2 D 628 cm2 (1) 1.8 1 m2 is equal to … A 100 cm2 B 1 000 cm2 C 100 000 cm2 D 10 000 cm2 (1) 1.9 A bag contains 3 red, 5 blue and 2 green marbles. One marble is taken out without looking. The probability that it is blue is … A 1 2 B 1 5 C 3 10 D 5 2 (1) 1.10 The point (4; −3) is reflected in the y-axis. The coordinates of its image are … A (4; 3) B (−4; −3) C (−4; 3) D (−3; 4) (1) [10] Copyright reserved Please turn over

Mathematics/P2 5 Senior Phase Mock Hlayiso/Mock 2026 SECTION B QUESTION 2 2.1 In the diagram, the straight lines AB and CD intersect at E. AˆEC = 3x + 10◦and CˆEB = 2x+20◦. A B C D E 3x+10◦ 2x+20◦ 2.1.1 Complete the statements and reasons in the table to calculate the value of x. (3) STATEMENT REASON 3x+10◦+2x+20◦= 5x = ∴x = 2.1.2 Hence, write down the size of DˆEB. Give a reason. (1) Copyright reserved Please turn over

Mathematics/P2 6 Senior Phase Mock Hlayiso/Mock 2026 2.2 In the diagram, PQ ∥RS. The straight line TW cuts PQ at V and RS at W. VX meets RS at X. T ˆVQ = 64◦and Q ˆVX = 47◦. Angles a, b and c are shown. P Q R S T V W X 64◦ 47◦ a b c Calculate, with reasons, the sizes of a, b and c. (6) STATEMENT REASON Copyright reserved Please turn over

Mathematics/P2 7 Senior Phase Mock Hlayiso/Mock 2026 2.3 In the diagram, AB ∥CD. The straight line EF cuts AB at G and CD at H. B ˆGH = 2x+15◦and G ˆHD = 3x−5◦. A B C D E F G H 2x+15◦ 3x−5◦ 2.3.1 Calculate, with reasons, the value of x. (3) STATEMENT REASON 2.3.2 Hence, calculate the size of A ˆGH. (1) [14] Copyright reserved Please turn over

Mathematics/P2 8 Senior Phase Mock Hlayiso/Mock 2026 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 All four angles are 90◦and the diagonals are equal, but the diagonals do NOT cross at right angles. (1) 3.1.2 Two pairs of adjacent sides are equal and only ONE pair of opposite angles is equal. (1) 3.1.3 Both pairs of opposite sides are parallel and equal, but it has no right angles and its adjacent sides are NOT equal. (1) 3.2 In △PQR, PQ = PR and QR is produced to S. ˆP = 2x−10◦and P ˆRS = 4x+10◦. P Q R S | | 2x−10◦ 4x+10◦ 1 Calculate, with reasons, the value of x. (4) STATEMENT REASON Copyright reserved Please turn over

Mathematics/P2 9 Senior Phase Mock Hlayiso/Mock 2026 3.3 ABCD is a rhombus with diagonal AC drawn. ˆB = 116◦. A B C D | | | | 116◦ 1 Calculate, with reasons, the size of ˆA1 (B ˆAC). (3) STATEMENT REASON 3.4 In △ABC and △DEF: AB = DE = 5 cm, ˆB = ˆE = 50◦and BC = EF = 7 cm. A B C 50◦ 5 cm 7 cm D E F 50◦ 5 cm 7 cm Complete the table to show that △ABC ≡△DEF. (2) STATEMENT REASON AB = Given ˆB = ˆE = 50◦ Given BC = EF = 7 cm Given ∴△ABC ≡△DEF Copyright reserved Please turn over

Mathematics/P2 10 Senior Phase Mock Hlayiso/Mock 2026 3.5 △KLM ||| △XYZ. KL = 4 cm, LM = 6 cm and XY = 10 cm. K L M 4 cm 6 cm X Y Z 10 cm Calculate the length of YZ. (2) [14] QUESTION 4 4.1 In △ABC, ˆB = 90◦, AC = 26 cm and AB = 10 cm. A B C 10 cm 26 cm Calculate the length of BC. (3) Copyright reserved Please turn over

Mathematics/P2 11 Senior Phase Mock Hlayiso/Mock 2026 4.2 The sides of △PQR are PQ = 9 cm, QR = 40 cm and PR = 41 cm. Show, by calculation, that △PQR is a right-angled triangle. (3) 4.3 A rectangular farm gate is 1,6 m long and 1,2 m high. A wooden brace is fitted along one diagonal of the gate. 1,6 m 1,2 m brace Calculate the length of the brace. (2) [8] QUESTION 5 5.1 The figure ADCE is made up of rectangle ABCD and right-angled △BEC with C ˆBE = 90◦. AB = 14 cm, BC = 6 cm and BE = 8 cm. A, B and E lie on a straight line. A B C D E 14 cm 8 cm 6 cm 5.1.1 Calculate the length of CE. (2) 5.1.2 Calculate the perimeter of figure ADCE. (1) 5.1.3 Calculate the area of figure ADCE. (2) Copyright reserved Please turn over

Mathematics/P2 12 Senior Phase Mock Hlayiso/Mock 2026 5.2 A square school lawn has sides of 20 m. A circular fish pond with a diameter of 14 m is built in the middle of the lawn, as shown in the sketch. Use π = 3,14. 14 m pond 20 m grass 5.2.1 Calculate the circumference of the pond. (1) 5.2.2 Calculate the area of the lawn that is covered by grass (shaded). (3) [9] Copyright reserved Please turn over

Mathematics/P2 13 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 6 A closed cardboard box is in the shape of a rectangular prism. It is 30 cm long, 20 cm wide and 15 cm high. 30 cm 15 cm 20 cm 6.1 Calculate the volume of the box. (2) 6.2 Calculate the total surface area of the box. (3) 6.3 How many litres of sand can the box hold if it is filled to the top? (1 cm3 = 1 mℓ) (2) 6.4 How many faces does a triangular prism have? (1) [8] Copyright reserved Please turn over

Mathematics/P2 14 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 7 △ABC with vertices A(1; 1), B(4; 1) and C(1; 3) is drawn on the Cartesian plane below. x y −6 −4 −2 2 4 6 −4 −2 2 4 0 A B C 7.1 △ABC is reflected in the x-axis to form △A′B′C′. Write down the coordinates of A′, B′ and C′. (2) 7.2 △ABC is translated so that A is mapped onto D(−4; 3). Write down the rule for this translation in the form (x; y) →(... ; ...). (1) 7.3 △ABC is rotated through 180◦about the origin. Write down the coordinates of the image of B. (1) [4] Copyright reserved Please turn over

Mathematics/P2 15 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 8 The marks (out of 20) of 11 learners in a Mathematics class test are shown below. 15 7 12 18 15 11 14 15 7 16 13 8.1 Arrange the marks in ascending order. (1) 8.2 Determine the range of the marks. (1) 8.3 Calculate the mean mark. (2) 8.4 Determine the median mark. (1) 8.5 Write down the mode. (1) 8.6 One of these 11 learners is chosen at random. What is the probability that the learner scored MORE than 14 marks? (2) [8] TOTAL: 75 Copyright reserved