Mathematics Grade 9 KZN March Test 2024 Memo

ZULULAND DISTRICT: GENERAL EDUCATION AND TRAINING (GET) Helping Our Schools Transform Little People into Future Giants GRADE 09 MATHEMATICS MARCH MARKING GUIDELINE 2024 Marks : 50 This memorandum consists of 3 pages including the cover page. IMPORTANT INFORMATION • This is a marking guideline. In instances where learners have used different but mathematically sound strategies to solve the problems, they (learners) should be credited. • Underline errors committed by learners and apply Consistent Accuracy (CA) marking 1

Question 1 [10] 1.1. Aü (1) 1.2. Dü (1) 1.3. Dü (1) 1.4. Aü (1) 1.5. Cü (1) 1.6. Bü (1) 1.7. Dü (1) 1.8. Bü (1) 1.9. Aü (1) 1.10. Cü (1) Question 2 [10] 2.1. 2.1.1. A factor ü (1) 2.1.2. A prime number ü (1) 2.1.3. A cube number ü (1) 2.2. 300 = 2! × 3 × 5! ü 2! × 3 × 5! : 1 mark (3) ! 475 = 5 × 19 ü 5! × 19: 1 mark 5 700: 1 mark 5! × 2! × 3 × 19 5 700 ü 2.3. Bigger Brown Formula: 1 mark (4) "#$%&'() "#$%&'() 64 𝑘𝑚/ℎ : 1 mark 𝑠𝑝𝑒𝑒𝑑 = %#*) ü 𝑠𝑝𝑒𝑒𝑑 = %#*) +,- /+-0* 60 𝑘𝑚/ℎ : 1 mark 𝑠𝑝𝑒𝑒𝑑 = .- 𝑠𝑝𝑒𝑒𝑑 = +1234$ Answer 60 𝑘𝑚/ℎ: 1 mark 𝑠𝑝𝑒𝑒𝑑 = 64 𝑘𝑚/ℎ ü 𝑠𝑝𝑒𝑒𝑑 = 60 𝑘𝑚/ℎ ü Brown is travelling at a lowest speed of 60 km/h or Brown is slower. ü Question 3 [08] 3.1 −4(−5) + 293 × (−6): + 0 Simplification: 1 mark (2) = 20 − 36 ü −16: 1 mark = −16 ü ,! 3.2. − 5 + 5(−2) − 3 −6 − 10 − 3: 1 mark (2) = −6 − 10 − 3 ü −19: 1 mark = −19 ü 3.3. 7 (4) 6. ; 7 − √49√−125: ! : 1 mark / 7 2(−5): 1 mark = / − 2(−5) üü 3 + 10: 1 mark 7 = / + 10 13: 1 mark = 3 + 10 ü = 13 ü 2

Question 4 [12] 4.1. 2, × 2, Adding exponents: 1 mark (2) 2,8, ü 26 : 1 mark 26 ü ' 4.2. # 9.+7: " × = %% > 13𝑥 / × 1: 1 mark (3) $ & ! 𝑥 , : 1 mark 9: () ./ ./: ! × . ü or 13𝑥 ?. 1 mark : :* ü ./ or 13𝑥 ?. ü : ?! . 4.3. !: +( @ : 1 mark (4) > /@) ? ( ),+( # ) !#) . ) üü Positive exponent: 1 mark ),+( # = !#) > Simplification: 1 mark ( 7@ ) 7: ) @ ) *,+) #) or : 1 mark ü ,: +) , 7@ * 7@ ) 7: ) @ ) ,: +) or , ü 4.4. 5,3 × 10?, + 1,4 × 10?/ 0,53 × 10?/ : 1 mark (3) = 0,53 × 10?/ + 1,4 × 10?/ ü Simplification: 1 mark = 1,93 × 10?/ ü 0,00193: 1 mark = 0,00193 ü Question 5 [10] 5.1. The constant different between each term is 3. ü Constant difference: 1 (3) 𝑇' = 3 × 𝑛 + 𝑐 mark 𝑐 = −5 − 3 Value for c: 1 mark 𝑐 = −8 ü 3 × 𝑛 − 8: 1 mark ∴ 𝑇' = 3 × 𝑛 − 8 ü 5.2. 𝑛 = 60 Substitution: 1 mark (3) 𝑇' = 3 × 𝑛 – 8 Simplification: 1 mark 𝑇+- = 3 × 60 – 8 ü 𝑇+- = 172 : 1 mark 𝑇+- = 180 – 8 ü 𝑇+- = 172 ü 5.3. 𝑇' = 55 Equation: 1 mark (4) 55 = 3𝑛 − 8 ü Simplification: 1 mark 55 + 8 = 3𝑛 − 8 + 8 ü 𝑛 = 21: 1 mark 63 = 3𝑛 𝑇!. = 55: 1 mark 𝑛 = 21 ü ∴ 𝑇!. = 55 ü 3