Mathematics Grade 9 Paper 1 November Mock 2026 Question Paper

Copyright reserved Please turn over Mock hlayiso mock exams Practice Series: Grade 9 Exam Preparation WWW.HLAYISO.COM SENIOR PHASE END-OF-YEAR EXAMINATION GRADE 9 MATHEMATICS P1 NOVEMBER 2026 (MOCK) MARKS: 75 TIME: 1½ hours This question paper consists of 8 pages, including an annexure.

Mathematics/P1 2 Senior Phase Mock Hlayiso/Mock 2026 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of EIGHT questions in TWO sections: SECTION A: QUESTION 1 (multiple-choice questions) SECTION B: QUESTIONS 2 to 8 2. Answer ALL the questions in the ANSWER BOOK provided, except QUESTION 8.2, which must be answered on the ANNEXURE. 3. For QUESTION 1, write only the letter (A–D) next to the question number, e.g. 1.6 B. 4. Answer QUESTION 8.2 on the ANNEXURE at the end of this question paper. Write your name on the ANNEXURE, detach it and hand it in with your ANSWER BOOK. 5. Number the answers correctly according to the numbering system used in this question paper. 6. Clearly show ALL calculations, diagrams, graphs, etc. that you have used in determining your answers. Answers only will NOT necessarily be awarded full marks. 7. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. 8. If necessary, round off answers to TWO decimal places, unless stated otherwise. 9. Diagrams are NOT necessarily drawn to scale. 10. Write neatly and legibly. Copyright reserved Please turn over

Mathematics/P1 3 Senior Phase Mock Hlayiso/Mock 2026 SECTION A QUESTION 1 Various options are provided as possible answers to the following questions. Choose the answer and write only the letter (A–D) next to the question number (1.1–1.5) in the ANSWER BOOK, e.g. 1.6 B. 1.1 Which ONE of the following numbers is irrational? A √ 49 B 0,˙3 C √ 12 D −5 8 (1) 1.2 The number 0,0000472 written in scientific notation is … A 4,72×10−5 B 4,72×10−4 C 47,2×10−6 D 4,72×105 (1) 1.3 The general term, Tn, of the number pattern 9 ; 5 ; 1 ; −3 ; ... is … A Tn = 4n+5 B Tn = −4n+13 C Tn = −4n+9 D Tn = 4n−13 (1) 1.4 The gradient of a line perpendicular to y = −2 3x + 1 (the product of the gradients is −1) is … A −2 3 B 2 3 C −3 2 D 3 2 (1) 1.5 (2x−5)2 = ... A 4x2 −25 B 4x2 +25 C 4x2 −20x+25 D 4x2 −10x+25 (1) [5] TOTAL SECTION A: 5 Copyright reserved Please turn over

Mathematics/P1 4 Senior Phase Mock Hlayiso/Mock 2026 SECTION B QUESTION 2 2.1 Write 252 as a product of its prime factors. Give your answer in exponential form. (2) 2.2 Given: 180 = 22 ×32 ×5 Use your answer to QUESTION 2.1 to determine the HCF and the LCM of 252 and 180. (2) 2.3 Calculate WITHOUT using a calculator. Show ALL your working. √ 100−36+ 3√ −125−(−3)2 ×2 (3) 2.4 At 06:00 the temperature in Sutherland was −7◦C. By 14:00 the temperature had risen by 12◦C, and by 22:00 it had dropped by 9◦C from the 14:00 temperature. What was the temperature at 22:00? (2) [9] QUESTION 3 3.1 Lerato buys a fridge with a cash price of R8 400 on hire purchase. The conditions of the agreement are: • She pays a deposit of 10% of the cash price. • Simple interest of 15% per annum is charged on the balance. • The balance plus interest is paid off in equal monthly instalments over 2 years. Use: SI = P×n×i or A = P(1+ni) 3.1.1 Calculate the balance that Lerato owes after paying the deposit. (2) 3.1.2 Calculate the total amount (balance plus interest) that she still has to pay. (3) 3.1.3 Calculate her monthly instalment. (1) 3.2 Musa invests R12 000 in a savings account at 8% per annum, compounded annually. Calculate how much money will be in the account after 3 years. Use: A = P(1+i)n (2) 3.3 A taxi travels from Polokwane to Johannesburg in 3 hours at an average speed of 100 km/h. How long will the same trip take at an average speed of 80 km/h? (2) [10] Copyright reserved Please turn over

Mathematics/P1 5 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 4 Simplify fully. Leave your answers with positive exponents. 4.1 (−3a2b)3 ×2ab4 6a5b2 (3) 4.2 2x+2 ×8x 42x+1 (WITHOUT using a calculator) (3) 4.3 3√ −27x12 +(5x)0 (2) [8] QUESTION 5 5.1 Expand and simplify: (2x−3)(x+4)−(x−2)2 (3) 5.2 Factorise fully: 5.2.1 5x3 −45x (2) 5.2.2 x2 −2x−15 (2) 5.2.3 a(x−2y)−3(2y−x) (2) 5.3 Simplify fully: x2 −16 x2 +x−12 (3) [12] QUESTION 6 6.1 Solve for x: 6.1.1 x−1 3 −x+2 4 = 1 (3) 6.1.2 3x−1 = 81 (2) 6.1.3 x2 −3x = 10 (3) 6.2 Sipho is four times as old as his daughter Naledi. In 6 years’ time, Sipho will be three times as old as Naledi will be then. Let Naledi’s present age be x years. Set up an equation and solve it to determine Sipho’s present age. (3) [11] Copyright reserved Please turn over

Mathematics/P1 6 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 7 7.1 Write down the next TWO terms of the number pattern: 0 ; 3 ; 8 ; 15 ; ... (1) 7.2 Thabo builds a row of houses with matchsticks, as shown below. Figure 1 Figure 2 Figure 3 The table shows the number of matchsticks used in each figure. Figure number (n) 1 2 3 4 5 ... Number of matchsticks (Tn) 6 11 16 p q ... 7.2.1 Write down the values of p and q. (2) 7.2.2 Determine the general term, Tn, of the pattern. (2) 7.2.3 Which figure will be made with 156 matchsticks? (2) 7.2.4 Thabo has a box of exactly 200 matchsticks. Can he use ALL of them to build one figure of this pattern? Show calculations to support your answer. (2) [9] Copyright reserved Please turn over

Mathematics/P1 7 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 8 8.1 Copy and complete the table of values for the equation y = −2x+4 in your ANSWER BOOK. (2) x −1 0 2 3 y 8.2 On the set of axes on the ANNEXURE, draw the graph of f : y = −2x+4. Clearly show the intercepts with the axes and label your graph f. (3) 8.3 The straight line g passes through the points A(−2 ; 0) and B(4 ; 3), as shown below. x y O A(−2 ; 0) B(4 ; 3) g 8.3.1 Calculate the gradient of g. Use: m = y2 −y1 x2 −x1 (2) 8.3.2 Determine the equation of g in the form y = mx+c. (2) 8.3.3 Is g parallel or perpendicular to f? Give a reason for your answer. (1) 8.3.4 Write down the equation of the straight line that is parallel to the x-axis and passes through B. (1) [11] TOTAL SECTION B: 70 TOTAL: 75 Copyright reserved Please turn over

Mathematics/P1 8 Senior Phase Mock Hlayiso/Mock 2026 ANNEXURE NAME: GRADE 9 CLASS: QUESTION 8.2 x y −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 0 Copyright reserved