2024 G9 Mock June Test Free State.docx

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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 5 −24 −5 Simplify ( ) (5 6 ) ​ ​ 𝑦 𝑦 1.4​ ​ ​ ​ ​ ​ ​ ​ (1) (𝑦 ) ​ A​ 1 5 ​ B​ 𝑦 10 ​ C​ 𝑦 −20 ​ D​ 𝑦 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 4 is…​ ​ ​ ​ ​ ​ (1) ​ 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 Copyright reserved​ ​ Please turn over

Mathematics​ 5​ FS/June 2024 Grade 9 ​ Mock test 1 ​ D​ − 10 or 10 𝑓+𝑔 2 1.10​ What is the constant term in the expression 4 + 10 − 3𝑓 ​ ​ ​ (1) ​ 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) 4096. ​ 3 2.2​ Use prime factors to determine ​ ​ ​ ​ ​ (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: ​ ​ ​ ​ ​ ​ ​ ​ ​ 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) + 8 4.2​ 2 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ (5) ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ [8] QUESTION 5 Simplify the following: 0 0 5.1​ 2(𝑝) − (2𝑝) ​ ​ ​ ​ ​ ​ ​ ​ ​ (2) 3 2 5.2​ ( − −𝑚𝑛 ) ×(−𝑚𝑛)2 ​ ​ ​ ​ ​ ​ ​ ​ (6) 3 (−𝑚2) 𝑛10 2 5.3​ (𝑦 + 9) − (𝑦 + 2)(𝑦 − 5)​ ​ ​ ​ ​ ​ ​ ​ (4) ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ [12] QUESTION 6 6.2​ Factorise: 4 3 3 4 2 5 ​ 6.1.1​ 8𝑥 𝑦 − 12𝑥 𝑦 + 16𝑥 𝑦 ​ ​ ​ ​ ​ ​ ​ (2) 2 ​ 6.1.2​ 𝑎 − 5𝑏 − 6​ ​ ​ ​ ​ ​ ​ ​ ​ (2) 2 ​ 6.1.3​ 𝑐 − 64​ ​ ​ ​ ​ ​ ​ ​ ​ (2) 6.3​ Simplify using factorisation: 3𝑦+6 𝑦−2 𝑦+1 ​ 2 × 3(𝑦+1) ÷ 2 ​ ​ ​ ​ ​ ​ ​ ​ (5) 𝑦 +𝑦−6 𝑦 −1 6.3​ WITHOUT USING A CALCULATOR, determine the value of ​ 2 2 133 − 132 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ (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) 𝑚−1 7.3​ 5 = 125​ ​ ​ ​ ​ ​ ​ ​ ​ ​ (3) ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ [7] QUESTION 8 2 2 Determine the value of 𝑘 + 𝑙 if 𝑘 = 6 and 𝑙 = 8​ ​ ​ ​ ​ [3] Copyright reserved​ ​ Please turn over