Adult Education And Training (AET) Site-Based Assessment Portfolio Of Evidence

Transcription

1 Adult Education And Training (AET) Portfolio Of Evidence Mathematical Literacy: NQF Level 1 Total: Duration: Task 3: Number of Pages: 50 marks 5 hours Project 12 pages Learner Information Name Surname : : Identity/ Passport Number : Employee Number : Company Centre Date : : : Declaration I declare that this portfolio of evidence is my own work: Signature

2 Page 2 of 12 INSTRUCTIONS 1. This task consists of TWO ACTIVITIES. 2. Complete ALL questions in each ACTIVITY. 3. Learners should work on ALL activities individually. 4. You may use a calculator but show ALL your working. 5. Round off your answers to TWO decimal places (where necessary). 6. Write your answer in the simplest form. 7. Adhere to the numbering system used in this question paper.

3 Page 3 of 12 ACTIVITY 1: NUTRITION The department of agriculture, forestry and fisheries encourages people to plant vegetables in their homes and schools so that they can enjoy fresh vegetables from their own gardens. 1.1 Ms. Tlala decides to grow her own vegetables garden in her home. She identified a free space at her home and marked boundaries where she would like to plant vegetables. Below is the plan of a square garden. It has four triangular flower beds in the corners and a square vegetable in the middle. In the centre of the garden, there is a circular lawn patch with a diameter of 1,5m. Flower Bed Flower Bed Vegetable Bed 6 m 1,5 m Diameter Lawn Patch 6 m Flower Bed Flower Bed Ms. Tlala wants to cover the whole garden with shaded netting. Calculate the area that the shade-netting will cover. Use the formula: AAAAAAAA oooo ssssssssssss = ss ss (2)

4 Page 4 of Ms. Tlala needs to buy the compost for the vegetable bed. On the packet, it says she should use 60g of compost per square metre. What amount of compost does she need per square metre for the vegetable bed? (8) How many bags of compost should she buy if the compost comes in 5kg bags? (1)

5 Page 5 of Table 1 Packets of seeds sold per year The shop from which she buys packets of seeds for her garden keeps records of the most popular vegetable seeds sold per year. WARM SEASON COOL SEASON Seeds %Sold Seeds %Sold Cucumber 11,9 Lettuce 31,8 Beans 24,0 Radish 1,8 Pumpkin 58,1 Onions 12,4 Tomatoes 6,0 Cabbage A Carrots 49, What percentage of the seeds were cabbage seeds? (2) Suppose packets of Warm Season seeds were sold, how many of these packets would be Tomato seeds? (2)

6 Page 6 of Draw a pie chart representing the most popular Cool Season seeds sold per year? Clearly label the seeds showing the name of the seed and percentage sold. (5) The garden is watered for one hour twice a week. To save money, Ms. Tlala decides to get a rain tank that can hold enough water for the garden for one month. Explain how she could calculate how much water is used to water the garden each week? (2)

7 Page 7 of The municipal water supply usually provides about 25 liters per minute. How many litres of water does this tank hold? Round off to two decimal places. (6) Ms. Tlala uses a cylindrical tank that must fit into a space that is 3m high. Calculate the radius of the water tank. Use the formula VV = ππrr 22 hh (5) TOTAL MARKS FOR ACTIVITY 1 (33)

8 Page 8 of 12 ACTIVITY 2: HIGH LEVEL OF UNEMPLOYMENT AND LOW WAGES 2.1 South Africa produces 470 million tons of waste a year. Each person produces almost 2kg of domestic waste a day. Most of this waste is dumped and buried in landfill or waste dump sites. This causes precious resources to be wasted and the physical state of many of the landfill sites create huge environmental problems, as well as health problems for those living close by. Waste collectors as shown in Picture 1, are an ever-present sight on the streets and rubbish dumps in Johannesburg. Waste collectors are unsung environmental heroes as they help to keep the city clean and free of health hazards. They collect scrap metal, plastic bottles and anything else that can bring in money to feed their families. Picture 1: Waste Collector Diagram 1 on the next page illustrates the distances travelled by a waster collector. Use the Diagram to answer to 2.13.

9 Page 9 of 12 Diagram 1: Map of the Distance Travelled by a Waste Picker in Johannesburg N 5 km O N 2 km M R 8 km Q 1 km P A waste picker collects waste materials from townships around Soweto and other parts of Johannesburg. He travels 2 km in a northern direction, turns right and travels in an eastern direction for 5 km. He now turns and travels in a southern direction for 8 km before he turns again and travels in a western direction for 1 km. The trip is shown in the diagram above. Show that the length of QR = 6 km. (2) The length of MR is 4 km. Give a reason for this statement. (3)

10 Page 10 of Use the theorem of Pythagoras to determine the shortest distance between the start and end points of the trip, MQ. (6) TOTAL MARKS FOR ACTIVITY 2 (12)

11 Page 11 of 12 ACTIVITY 3: FLOW DIAGRAPHS Study the flow diagram and answer the questions below. 3.1 Calculate the values for the letters (a) to (c) in the above diagram. (a) (1) (b) (1) (c) (1) 3.2 Write a formula to calculate the relationship between the input and output values. Write the formula in the form: (2) Output = TOTAL MARKS FOR ACTIVITY 3 (5) TOTAL MARKS FOR TASK 3 [50]

12 Page 12 of 12 TOTAL FOR TASK 3: 50 MARKS Activity 1-3 Maximum Mark Learner's Mark Moderated Mark Task 3 Activity 1 33 Activity 2 12 Activity 3 5 Total: Task 3 50