Mathematics Grade 10 P2 November Mock 2026 QP (Eng)

Mock hlayiso mock exams Practice Series: Grade 10 Exam Preparation WWW.HLAYISO.COM NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P2 NOVEMBER EXAMINATION 2026 (MOCK) MARKS: 100 TIME: 2 hours This question paper consists of 8 pages, 1 information sheet and 1 answer sheet. Copyright reserved Please turn over

Mathematics/P2 2 Hlayiso/Mock 2026 NSC Mock INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 10 questions. 2. Answer ALL the questions. 3. Number the answers correctly according to the numbering system used in this question paper. 4. Clearly show ALL calculations, diagrams, graphs, etc. that you have used in determining your answers. 5. Answers only will NOT necessarily be awarded full marks. 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. 8. Diagrams are NOT necessarily drawn to scale. 9. An ANSWER SHEET for QUESTION 6.1 is attached at the end of this question paper. Write your name on the answer sheet and hand it in together with your ANSWER BOOK. 10. An information sheet with formulae is included at the end of the question paper. 11. Write neatly and legibly. Copyright reserved Please turn over

Mathematics/P2 3 Hlayiso/Mock 2026 NSC Mock QUESTION 1 The marks (out of 50) obtained by 15 Grade 10 learners in a Mathematics test are given below. The data is arranged in ascending order. 14 18 21 23 25 27 28 30 31 33 35 36 38 42 47 1.1 Calculate the mean mark. (2) 1.2 Write down the five-number summary of the data. (3) 1.3 Draw a box-and-whisker diagram to represent the data. (2) 1.4 Calculate the interquartile range of the data. (1) [8] QUESTION 2 The table below shows the time (in minutes) that 40 learners took to travel to school on a particular morning. TIME, t (IN MINUTES) NUMBER OF LEARNERS 0 ≤ t < 10 4 10 ≤ t < 20 9 20 ≤ t < 30 14 30 ≤ t < 40 8 40 ≤ t < 50 5 2.1 Write down the modal class of the data. (1) 2.2 Determine the class in which the median of the data lies. (2) 2.3 Calculate the estimated mean time taken to travel to school. (4) 2.4 Calculate the percentage of learners who took 30 minutes or longer to travel to school. (2) [9] Copyright reserved Please turn over

Mathematics/P2 4 Hlayiso/Mock 2026 NSC Mock QUESTION 3 In the diagram, A(−2 ; 3), B(2 ; 5) and C(4 ; 1) are the vertices of △ABC. M is the midpoint of AC. y B(2 ; 5) A(−2 ; 3) M C(4 ; 1) x O 3.1 Calculate the length of AB. Leave your answer in simplest surd form. (2) 3.2 Calculate the gradient of BC. (2) 3.3 Prove that AB ⊥ BC. (2) 3.4 Determine the coordinates of M. (2) 3.5 Determine the equation of the line through B that is parallel to AC. Write your answer in the form y = mx + c. (3) 3.6 Calculate the area of △ABC. (2) 3.7 Determine the coordinates of point D if ABCD, in that order, is a square. (2) [15] Copyright reserved Please turn over

Mathematics/P2 5 Hlayiso/Mock 2026 NSC Mock QUESTION 4 4.1 Use a calculator to determine the value of the following, correct to TWO decimal places: 4.1.1 tan 63◦ − cos 63◦ (1) 4.1.2 2 sec 40◦ (2) 4.2 Determine the value of the following WITHOUT using a calculator: sin 30◦ . tan2 60◦ ◦ ◦ + sec2 45◦ (4) cos 45 . sin 45 4.3 Solve for θ , correct to TWO decimal places, if 0◦ ≤ θ ≤ 90◦ : 4.3.1 2 cos θ = 1,3 (2) 4.3.2 tan(2θ + 10◦ ) = 3,2 (3) [12] QUESTION 5 Given: 5 tan β + 12 = 0 and 90◦ ≤ β ≤ 180◦ WITHOUT using a calculator and with the aid of a sketch, determine the value of: 5.1 sin β (3) 5.2 cos2 β − sin2 β (2) 5.3 sec β . sin β (2) [7] QUESTION 6 Given: f (x) = 2 sin x and g(x) = cos x + 1 for x ∈ [0◦ ; 360◦ ] 6.1 Sketch the graphs of f and g on the same system of axes on the grid provided on the ANSWER SHEET. Clearly show ALL intercepts with the axes, the coordinates of the turning points and the end points of each graph. (6) 6.2 Write down the period of f . (1) 6.3 Write down the amplitude of f . (1) 6.4 Write down the range of g. (2) 6.5 The graphs of f and g intersect at x = 53,13◦ and x = 180◦ . Use your graphs to determine the values of x for which f (x) ≥ g(x). (2) [12] Copyright reserved Please turn over

Mathematics/P2 6 Hlayiso/Mock 2026 NSC Mock QUESTION 7 A cellphone tower, TB, stands vertically on level ground. A and C are two points on the ground in a straight line with B, the foot of the tower. A is 50 m from B. The angle of elevation of T from A is 38◦ and the angle of elevation of T from C is 24◦ . T 24◦ 38◦ C A 50 m B 7.1 Calculate the height of the tower, TB. (3) 7.2 A support cable is attached from T to A. Calculate the length of the cable, TA. (2) 7.3 Calculate the distance between A and C. (4) [9] QUESTION 8 A closed cylindrical water tank has a radius of 1,2 m and a height of 2,5 m. 1,2 m 2,5 m Volume of a cylinder = π r2 h Total surface area of a closed cylinder = 2π r2 + 2π rh 8.1 Calculate the volume of the tank. (2) 8.2 Calculate the total outside surface area of the tank. (2) 8.3 The radius of the tank is doubled and the height is halved. Show how this changes the volume of the tank. (2) [6] Copyright reserved Please turn over

Mathematics/P2 7 Hlayiso/Mock 2026 NSC Mock Give reasons for ALL statements in QUESTIONS 9 and 10. QUESTION 9 PQRS is a parallelogram with diagonal QS. PT ⊥ QS and RU ⊥ QS, with T and U on QS. P S U T Q R 9.1 Prove that △PTS ≡ △RUQ. (5) 9.2 Hence, prove that PTRU is a parallelogram. (3) [8] QUESTION 10 10.1 In △ABC, D is the midpoint of AB and E is the midpoint of AC. DE = 3x − 2 and BC = 4x + 6. Â = 50◦ and AB̂C = 70◦ . A 50◦ 3x − 2 D E 70◦ B 4x + 6 C 10.1.1 Why is DE ∥ BC? (1) 10.1.2 Calculate the value of x. (3) 10.1.3 Calculate the size of AÊD. (3) Copyright reserved Please turn over

Mathematics/P2 8 Hlayiso/Mock 2026 NSC Mock 10.2 ABCD is a rhombus. The diagonals AC and BD intersect at O. AB̂C = 116◦ . A D O 116◦ B C Calculate, with reasons, the size of: 10.2.1 BÂD (2) 10.2.2 BÂC (2) 10.2.3 AÔB (1) 10.2.4 AB̂D (2) [14] TOTAL: 100 Copyright reserved Please turn over

Mathematics/P2 9 Hlayiso/Mock 2026 NSC Mock INFORMATION SHEET: MATHEMATICS GRADE 10 A = P(1 + ni) A = P(1 − ni) A = P(1 − i)n A = P(1 + i)n √ ( ) x1 + x2 y1 + y2 d = (x2 − x1 )2 + (y2 − y1 )2 M ; 2 2 y2 − y1 y = mx + c m= x2 − x1 ∑x ∑ fx x̄ = x̄ = n n n(A) P(A) = P(A or B) = P(A) + P(B) − P(A and B) n(S) Copyright reserved

Mathematics/P2 10 Hlayiso/Mock 2026 NSC Mock ANSWER SHEET NAME: QUESTION 6.1 y 2,5 2 1,5 1 0,5 x 0 30◦ 60◦ 90◦ 120◦ 150◦ 180◦ 210◦ 240◦ 270◦ 300◦ 330◦ 360◦ −0,5 −1 −1,5 −2 −2,5 Copyright reserved