Mathematics Grade 9 Eastern Cape June 2024 Question Paper

Testpapers.co.za o-== eoneeneens, ¢ Province of the EASTERN CAPE EDUCATION TIME: 1 HOURS TOTAL: 75 NAME OF LEARNER: GRADE 9: Question number 1 2 Si 5 6 Ti Total Total marks 5 13 10 13 18 7 75 Learner marks Moderated marks GRADE 9 MATHEMATICS JUNE 2024 Page 1

Testpapers.co.za INSTRUCTIONS: 1. This question paper consists of 11 pages and 7 questions. 2. Section A consists of 5 multiple choice questions, answer the questions on the answer sheet provided. 3. Section B and C questions must be answered in the space provided on this paper. 4. Clearly show all calculations. 5. Calculators are allowed. 6. If necessary, round answers off to 2 decimal places, unless stated otherwise. 7. Diagrams are not necessarily drawn to scale. 8. Itis in your best interest to write neatly and legibly. GRADE 9 MATHEMATICS JUNE 2024 Page 2

Testpapers.co.za SECTION A: MULTIPLE CHOICE QUESTIONS QUESTION 1 Choose the correct answer. Circle the letter of the correct answer on the ANSWER SHEET provided on page 4. If you want to change your choice, put a cross through the wrong letter and circle your new choice. i. Complete : = Sua A) an irrational number B) an integer C) arational number D) anatural number (1) 1.2. The list of numbers that is arranged in descending order , is ... A) -23 :-19;-6;9: 17 B)) 25 3-19.14 29% 6 C) 6 795 17;-19 3:23 BD) ‘WPO5 = 63 =19; =23 (1) 1.3. Calculate : V81 x V27 3 A) 4 B) 27 c) 9 D) 7 (1) 1.4. The diagram below sho Figure 1 Figure 2 Figure 3 Figure 4 Which of the following is the general rule (formula) for the pattern? A) Tn = 2n+5 B) Tn = 5n+2 GRADE 9 MATHEMATICS JUNE 2024 Page 3

Testpapers.co.za C) Tm=n+5 D) Tn=n+7 (1) 1.5. Simplify: —8x? — (—x)? A) —7x? B) 9x? C) -9x? BD): “7x (1) [TOTAL: 5] ANSWER SHEET CIRCLE YOUR ANSWERS FROM SECTION A IN THE GRID BELOW AS SHOWN IN THE EXAMPLE: Example: A c D 1.1, Subtotal Question 1= [5x1] GRADE 9 MATHEMATICS JUNE 2024 Page 4

Testpapers.co.za SECTION B: NUMBERS, OPERATIONS AND RELATIONSHIPS QUESTION 2 :WHOLE NUMBERS 2.1 State whether each of the following statements is true or false. 7x(41+9=7x11+7x9 (2) 100 + (25 + 5) = (100 + 25) + 5 (2) 2.2 Simplify the following. Show all your calculations. (7 x 5)+ 24+2-10x 10 2.2 (3) 2.3. Use prime factors to determine the LCM and HCF of 60 and 54. 2.3 (4) 2.4. It takes 12 hours for one person to clean a house. How many people would be needed to clean the same house if the job was to be done in 2 hours? 2.4 (2) [TOTAL: 13] QUESTION 3: INTEGERS 3.1 | State whether each of the following statements is true or false. GRADE 9 MATHEMATICS JUNE 2024 Page 5

Testpapers.co.za 10 <-12 () > —( 7" (1) 644) = (-4) + 6 (2) 3.2 Simplify the following. Show all your calculations. 3.2.1 —7 + (-9)-2 22 (3) 3.2.2 (23- (-4) + 9-6 3:2:2 (3) [TOTAL:10] QUESTION 4: EXPONENTS 4.1. Match column A to column B. Write your answer in the answer column provided. Column A Answer Column B re 4 —4 (2) 4.2 (2) 4.3 Simplify the following. Show all your calculations. GRADE 9 MATHEMATICS JUNE 2024 Page 6

Testpapers.co.za 15-6 , 22.22 9 24 4.3 (5) [TOTAL: 9] SECTION C: PATTERNS, FUNCTIONS AND ALGEBRA QUESTION 5: NUMERIC AND GEOMETRIC PATTERNS 5.1 The pattern below is made using circles. Study the pattern and then answer the questions that follow. Picture 1 Picture 2 5.1.1 Determine the general term or rule for Loy yk (2) 5.1.2 How many circles will be in picture 10? 52 (2) 5.1.3. Which picture will be made up of 448 circles? 5.1.3 (3) GRADE 9 MATHEMATICS JUNE 2024 Page 7

Testpapers.co.za 5.2 Study the table below: 9 b a —158 5.2.1 Write the gene the form of y=... 5.2.1 (2) 5.2.2 Determine the values of a and b. 592 t= b= (4) [TOTAL: 13] GRADE 9 MATHEMATICS JUNE 2024 Page 8

Testpapers.co.za QUESTION 6 : ALGEBRAIC EXPRESSIONS 6.1 The following verbal expression is provided : The sum of the square of a number and negative 5 is divided by 4 and then increased by 12. Represent the verbal expression as an algebraic expression. 6.1 (2) 6.2. Simplify the following expressions: 6.2.1 —2(a + b) + 4a(5) 6.2.1 (3) (3) 6.3. Factorize the following expressions: GRADE 9 MATHEMATICS JUNE 2024 Page 9

Testpapers.co.za 68a 4x? + 12x 6.3.1 (2) 6.3.2 x(x + 2) — 5 + 2) 6.3.2 (2) 6.3.3 4x? + 4x — 24 6.3.3 (3) 6.4 Determine the value of x? — 2xy —4 if x=1andy= —2 6.4 (3) [TOTAL:18] QUESTION 7: ALGEBRAIC EQUATIONS 7.1 Solve for the given variable: Tela: x*>-—-x-6=0 i aa nf (2) GRADE 9 MATHEMATICS JUNE 2024 Page 10

Testpapers.co.za = Bs 7.42 oa 2) 12 (3) 7.1.3 27242 = 64 73 (2) [TOTAL:7] GRAND TOTAL: 75 GRADE 9 MATHEMATICS JUNE 2024 Page 11