Mathematics Grade 9 NSC March Test 2024 Question Paper

HIS SCHOOL MATHEMATICS Term 1(2025) March Test GRADE 09 MARKS: 50 DURATION: 1 hour DATE: 12 March 2025 EXAMINER: Miss MP Maraga MODERATOR : Mrs A Tolope LEARNER’S NAME: …………… 1 | Page

QUESTION 1: Multiple choice questions Four options are given as possible answers to the following questions. Circle the answer for the correct answer. If you made a mistake or change your decision, cross out your response and circle the new letter. 1.1. What kind of a number is √5? (1) A A natural number B A whole number C A rational number D An irrational number 1.2. The LCM of 96 and 108 is: (1) A 168 B 2 C 864 D 96 1.3 A car travels 180 km in 2 hours on a straight road. How far can the car travel in 210 minutes at the same speed? (1) A 630 km B 25,7 km C 102,9 km D 315 km 1.4. The value of 3[− (− 3 +17)] − (− 4) × 2 is equal to? (1) A 50 B 46 C −40 D − 34 1.5. Simplify: 4𝑎12 ÷ 4𝑎3 (1) A 𝑎4 B 𝑎9 C 𝑎15 D 𝑎36 2 | Page

1.6. Consider the pattern 5; 8; 12; 17; ………… The next term in this pattern will be: (1) A 19 B 21 C 23 D 20 [6] QUESTION 2: Number systems, factors and multiples 2.1. Classify the following numbers as rational or irrational: 1 2.1.1. 4 2 (1) _____________________________________________________ 2.1.2. √17 (1) _____________________________________________________ 2.1.3. 2,141414….. (1) _____________________________________________________ 2.2. Write the following numbers as products of their prime factors: 2.2.1. 135 = (1) ____________________________________________________ 2.2.2. 225 = (1) ____________________________________________________ 2.2.3. 315 = (1) ____________________________________________________ 2.2.4. The HCF of 135, 225 𝑎𝑛𝑑 315 = (1) __________________________________________________________ __________________________________________________________ [7] 3 | Page

QUESTION 3: Ratio, rate and proportion 3.1. Two numbers are in the ratio 3 ∶ 5. If the smaller number is 12, what is the greater number? (2) ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ 3.2. If 3kg of potatoes cost R24, how much will 7kg cost? (2) ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ 3.3. Zaheda travels for 6 hours partly by car at 100 km/h and partly by air at 300 km/h. If she travelled a total distance of 1200 km, how long did he travel by air? (4) ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ [8] 4 | Page

QUESTION 4: Finance 4.1. Peter invests R20 000 in an account paying 15% per annum compounded annually. Calculate the future value of his investment after 10 years. (3) ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ 4.2. A car rental company has the arrangement of hiring their cars out at R175 a day plus R2 per kilometre for mileage over and above the included mileage of 500 km which is free. What would the total cost be if a car is rented for 5 days, and 850 km is covered in mileage. (3) ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ [6] QUESTION 5: Integers 5.1. Calculate without using a calculator. 5.1.1. −6 + 4 − 23 (2) ______________________________________________________________ ______________________________________________________________ 5.1.2. 11 − [−3 + 2 − (−1)] (3) ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ 5 | Page

5.1.3. 4 × (−28) (1) ______________________________________________________________ 5.14. √ √36 − √4 (3) ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ [9] QUESTION 6: Exponents 6.1. Simplify: 6.1.1. 𝑥 4 × 𝑥 7 (1) ______________________________________________________________ 6.1.2. (4𝑥)0 (1) ______________________________________________________________ 3𝑎−2 𝑏 × 24𝑏−1 𝑎−1 6.1.3. (4) 9𝑎−4 𝑏 −3 ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ 2𝑛+2 6.1.4. 2𝑛−1 (2) ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ 6 | Page

[8] QUESTION 7: Patterns 7.1. Consider the pattern: 5; 7; 9; 11; ......... 7.1.1. Write down the next two terms of the pattern. (2) ______________________________________________________________ 7.1.2. Write down the general term of the given sequence in the form (2) 𝑇𝑛 = _______________________________________________________ (2) 7.1.3. Determine the 100th term. ______________________________________________________________ ______________________________________________________________ ______________________________________________________________ [6] THE END 7 | Page