2024 G9 Mock June Test Free State

GRADE 9 MATHEMATICS JUNE MOCK TEST 2024 MARKS: 75 TIME: 2 HOURS Copyright reserved Please turn over

Mathematics 2 FS/June 2024 Grade 9 Mock test INSTRUCTIONS AND INFORMATION • Read all the instructions carefully before answering the questions. • This question paper consists of 8 questions. • Write legibly and present your work neatly. • Answer ALL the questions. • Clearly show ALL steps that you have used in determining your answers. • Answers only will not necessarily be awarded full marks. • You may use an approved scientific calculator (non-programmable and non- graphical), unless stated otherwise. • Number the answers correctly according to the numbering system used in this question paper. Copyright reserved Please turn over

Mathematics 3 FS/June 2024 Grade 9 Mock test QUESTION 1 1.1 Which are the two missing numbers in the pattern below? (1) 3 ; 9 ; ____ ; 81 ; ____ ; 729 A 27 and 243 B 18 and 243 C 18 and 168 D 27 and 168 1.2 Which of the following is irrational? (1) A √25 B √−21 C √1 D √23 1.3 Property demonstrated below is: (1) [(−7) + 4] + (−8) = (−7) + [4 + (−7)] A Identity property B Associate property C Commutative property D Distributive property 4 −5 (𝑦 5 ) (𝑦 −2 ) 1.4 Simplify (𝑦 5 )6 (1) A 1 B 𝑦5 C 𝑦10 D 𝑦 −20 Copyright reserved Please turn over

Mathematics 4 FS/June 2024 Grade 9 Mock test 1.5 How many terms do we have in the 2𝑎 + 3(5𝑎 + 𝑏) (1) A 1 B 2 C 3 D 4 1.6 Write (4 + 3) × 𝑛 × 𝑚 in a more simplified form mathematical convention. (1) A 7𝑛𝑚 B 𝑛𝑚7 C 7𝑚𝑛 D 𝑚𝑛7 −𝑝 1.7 What is the coefficient of 𝑥 in is… (1) 4 A −1 B −4 C 4 1 D −4 1.8 If 2𝑧(𝑧 − 5) = 0 then 𝑧 = (1) A 2 or −5 B 2 or 5 C 0 or 5 D 0 or −5 1.9 What is the additive and multiplicative inverses of −10? (1) 1 A 10 or 10 1 B −10 or − 10 1 C 10 or − 10 1 D −10 or 10 Copyright reserved Please turn over

Mathematics 5 FS/June 2024 Grade 9 Mock test 𝑓+𝑔 1.10 What is the constant term in the expression + 10 − 3𝑓 2 (1) 4 A 10 B 4 C 3 D −3 [10] QUESTION 2 2.1 State whether the following STATEMENTS are true or false. 2.1.1 2,143 … is an irrational number. (1) 3 2.1.2 √−8 is non – real (1) 3 2.2 Use prime factors to determine √4096. (4) 2.3 The ratio of boys to girls is 4:9. If there are 54 boys, how many girls are there? (3) [9] QUESTION 3 3.1 Consider the pattern: −1; 1; 3; … 3.1.1 Write down the next term. (1) 3.1.2 Write down the constant difference. (1) 3.1.3 Write down the general rule of the pattern in the form 𝑇𝑛 = (2) 3.1.4 Which term in the sequence is equal to 47? (3) 3.2 Consider the pattern below: 1 2 3 3.2.1 Determine the number of unshaded squares in diagram 2000. (2) 3.2.2 Which diagram will contain 1000 unshaded squares? (2) [11] Copyright reserved Please turn over

Mathematics 6 FS/June 2024 Grade 9 Mock test QUESTION 4 Calculate the following WITHOUT using a calculator: 4.1 (−25) + 40 − (5) − 32 (3) 2 3 4.2 √(−4) + √8 (5) 2 [8] QUESTION 5 Simplify the following: 5.1 2(𝑝)0 − (2𝑝)0 (2) 2 −(−𝑚𝑛3 ) ×(−𝑚𝑛)2 5.2 (6) (−𝑚2 )3 𝑛10 5.3 (𝑦 + 9)2 − (𝑦 + 2)(𝑦 − 5) (4) [12] QUESTION 6 6.2 Factorise: 6.1.1 8𝑥 4 𝑦 3 − 12𝑥 3 𝑦 4 + 16𝑥 2 𝑦 5 (2) 6.1.2 𝑎2 − 5𝑏 − 6 (2) 6.1.3 𝑐 2 − 64 (2) 6.3 Simplify using factorisation: 3𝑦+6 𝑦−2 𝑦+1 × 3(𝑦+1) ÷ 𝑦 2−1 (5) 𝑦 2 +𝑦−6 6.3 WITHOUT USING A CALCULATOR, determine the value of 1332 − 1322 (4) [15] Copyright reserved Please turn over

Mathematics 7 FS/June 2024 Grade 9 Mock test QUESTION 7 Solve the following equations: 7.1 2𝑥 − 3 = −7 (2) 7.2 (𝑝 − 9)(𝑝 + 4) = 0 (2) 7.3 5𝑚−1 = 125 (3) [7] QUESTION 8 Determine the value of √𝑘 2 + 𝑙 2 if 𝑘 = 6 and 𝑙 = 8 [3] Copyright reserved Please turn over