Mathematics Grade 8 Paper 1 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 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 (or on writing paper) provided. 3. For QUESTION 1, write only the letter (A–D) next to the question number, e.g. 1.6 B. 4. Answer QUESTION 8.2.2 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 an integer, but NOT a natural number? A 0,5 B −7 C 12 D √ 2 (1) 1.2 The number 360000 written in scientific notation is … A 3,6×105 B 36×104 C 3,6×104 D 0,36×106 (1) 1.3 The degree of the expression 4x2 −7x5 +2x−9 is … A 2 B 4 C 5 D 9 (1) 1.4 A school bag costs R460 excluding VAT. If VAT is 15%, the price of the bag including VAT is … A R69 B R391 C R529 D R475 (1) 1.5 The next term in the number pattern 1 ; 8 ; 27 ; 64 ; ... is … A 81 B 100 C 125 D 128 (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 150 as a product of its prime factors. Give your answer in exponential form. (2) 2.2 Given: 168 = 23 ×3×7 Use your answer to QUESTION 2.1 to determine the HCF and the LCM of 150 and 168. (2) 2.3 Calculate WITHOUT using a calculator. Show ALL your working. √ 9+16−3√ −64+(−2)3 (3) 2.4 Calculate WITHOUT using a calculator. Show ALL your working. 21 2 −3 4 × 2 3 (3) [10] QUESTION 3 3.1 Mrs Dlamini shares R1 350 among her three children, Ayanda, Bheki and Zola, in the ratio 2 : 3 : 4. Calculate how much money EACH child receives. (3) 3.2 A bus travels 270 km at an average speed of 90 km/h. It leaves the bus station at 07:45. At what time does it arrive at its destination? (2) 3.3 Sipho invests R6 500 in a savings account that pays 7,5% simple interest per annum. Calculate the total amount in the account after 4 years. Use: SI = P×n×i (3) [8] QUESTION 4 Simplify fully. 4.1 (−2x3y)2 ×3xy4 6x5y3 (3) 4.2 √ 49a8 − 3√ 8a12 (2) 4.3 (32)2 ÷33 +50 (WITHOUT using a calculator) (2) [7] Copyright reserved Please turn over

Mathematics/P1 5 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 5 5.1 Consider the expression: −5x3 +3x2 +x−7 5.1.1 Write down the coefficient of x. (1) 5.1.2 Write down the constant term. (1) 5.1.3 Determine the value of the expression if x = −2. (3) 5.2 Simplify: 5.2.1 3a(2a−b)−2a(a+4b) (3) 5.2.2 12x3 −8x2 +4x 4x (2) 5.2.3 Subtract 2p2 −p−6 from 5p2 −3p+2. (2) [12] QUESTION 6 6.1 Solve for x: 6.1.1 5x−7 = 2x+8 (2) 6.1.2 3(x−4)−2(x+1) = 6 (3) 6.1.3 x 3 +2 = x 2 −1 (3) 6.1.4 2×5x = 250 (2) 6.2 Lerato is 6 years older than her brother Kagiso. In 4 years’ time, the sum of their ages will be 40 years. Let Kagiso’s present age be x years. Set up an equation and solve it to determine Lerato’s present age. (3) [13] Copyright reserved Please turn over

Mathematics/P1 6 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 7 7.1 For a school function, square tables are placed next to each other in a row. Chairs are placed around the tables as shown below. Figure 1 Figure 2 Figure 3 The table shows the number of chairs needed for each figure. Number of tables (n) 1 2 3 4 5 ... Number of chairs (Tn) 4 6 8 p q ... 7.1.1 Write down the values of p and q. (2) 7.1.2 Determine the general rule, Tn, for the number of chairs in terms of n. (2) 7.1.3 For the school prize-giving dinner, 64 guests must sit at ONE long row of tables arranged in this way, with no empty chairs. How many tables are needed? (2) 7.2 Study the table of values below. x 1 2 3 4 10 y −1 2 5 a b 7.2.1 Determine the rule (formula) that describes the relationship between x and y in the form y = ... (2) 7.2.2 Determine the values of a and b. (2) [10] Copyright reserved Please turn over

Mathematics/P1 7 Senior Phase Mock Hlayiso/Mock 2026 QUESTION 8 8.1 Neo cycles from her home to a park, rests at the park and then cycles back home along the same road. The graph below shows her distance from home during the trip. Time Distance from home (km) 08:00 08:30 09:00 09:30 10:00 10:30 2 4 6 8 10 12 14 0 B C D A 8.1.1 How far is the park from Neo’s home? (1) 8.1.2 For how long did Neo rest at the park? (1) 8.1.3 Calculate Neo’s average speed, in km/h, on her way back home (from C to D). (2) 8.1.4 Did Neo cycle faster on her way TO the park or on her way BACK home? Give a reason for your answer. (1) 8.2 Given: y = 2x−1 8.2.1 Copy and complete the table of values in your ANSWER BOOK. (2) x −1 0 1 2 3 y 8.2.2 On the set of axes on the ANNEXURE, plot the points from the table in QUESTION 8.2.1 and draw the graph of y = 2x−1. (3) [10] TOTAL SECTION B: 70 TOTAL: 75 Copyright reserved Please turn over

Mathematics/P1 8 Senior Phase Mock Hlayiso/Mock 2026 ANNEXURE NAME: GRADE 8 CLASS: QUESTION 8.2.2 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