Mathematical Literacy Grade 11 P1 North West June 2024 QP

PROVINCIAL ASSESSMENT GRADE 11 MATHEMATICAL LITERACY P1 JUNE 2024 MARKS: 75 TIME: 1½ hours This question paper consists of 9 pages and an answer sheet. Copyright reserved Please turn over

Mathematical Literacy/P1 2 NW/June 2024 Grade 11 INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Answer QUESTION 3.2 on the given ANSWER SHEET. Write your name on the space provided and hand in the ANSWER SHEET with your ANSWER BOOK. 3. Number the answers correctly according to the numbering system used in this question paper. 4. Start EACH question on a NEW page. 5. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 6. Show ALL calculations clearly. 7. Round off ALL final answers appropriately according to the given context, unless stated otherwise. 8. Indicate units of measurement, where applicable. 9. Diagrams are NOT necessarily drawn to scale, unless stated otherwise. 10. Write neatly and legibly. Copyright reserved Please turn over

Mathematical Literacy/P1 3 NW/June 2024 Grade 11 QUESTION 1 1.1 Various options are provided as possible answers to the following questions. Choose the answer and write only the letter (A–D) next to the question numbers (1.1.1 to 1.1.4), e.g. 1.1.5 C. 1.1.1 A variable whose values depend on the values of another variable. A Independent variable B Discrete data C Dependent variable (2) 1.1.2 Expenses that stay that same amount every month. A Fixed expenses B Irregular expenses C Variable expenses (2) 1.1.3 Conducting research by carefully watching and recording behaviour or some characteristic. A Interview B Observation C Questionnaire (2) 1.1.4 This type of graphs is useful for comparing the type of relationship that exists between two different variables or quantities for which no obvious pattern is visible. A Histogram B Line graph C Scatter plot graph (2) Copyright reserved Please turn over

Mathematical Literacy/P1 4 NW/June 2024 Grade 11 1.2 Z5Z Computers EMPLOYEE: Mr. AB Combrink ID: 890430 1234 567 EMPLOYEE NO.: C159 OCCUPATION: Sales Manager PAYMENT PERIOD: 1 October – 31 October 2023 PAYMENT SUMMARY INCOME DEDUCTIONS Basic salary R14 000,00 PAYE Tax R2 385,00 Commission R11 500,00 UIF R140,00 Pension R1 125,00 Medical aid R1 850,00 GROSS INCOME TOTAL DEDUCTIONS R5 500,00 NET INCOME R20 000,00 Use the salary slip above to answer the questions that follow. 1.2.1 Calculate Mr. Combrink’s gross income. (2) 1.2.2 UIF stands for ... A Unemployment Insurance Federation B Unemployment Insurance Fund C Unemployment Insurance Fundraising (2) 1.2.3 Name the income paid to the employee after all the deductions have been made. (2) [14] Copyright reserved Please turn over

Mathematical Literacy/P1 5 NW/June 2024 Grade 11 QUESTION 2 2.1 Mrs. Joan Botha is looking for a cell phone to purchase. She does some research and gets the following quote for a cell phone from Super Save Cell Phones. Super Save Cell Phones Date: 15 March 2024 FOR: Mrs. Joan Botha 159 Doring Street Wonderfontein Thank you for your enquiries 1101 PRODUCT: R2 607,83 Samsung A52 SUBTOTAL R2 607,83 VAT @ 15% R391,17 TOTAL R2 999,00 Please take note of the following:  Ordering does not guarantee the specific colour of the phone.  Price valid for 14 days. Use the information above to answer the questions that follow. 2.1.1 Name the make of the cell phone for which Mrs. Botha got a quote. (2) 2.1.2 Show how the VAT amount was calculated. (2) 2.1.3 Write out the total amount for the cell phone in words. (2) 2.1.4 a) Until when is this quotation valid? (2) b) Explain why quotes are only valid for a certain time period. (2) Copyright reserved Please turn over

Mathematical Literacy/P1 6 NW/June 2024 Grade 11 2.2 Betty and John Botha are sister and brother. Their parents gave each of them a cell phone because they are going to high school. Betty received a prepaid price plan option and John received a monthly contract price plan option. The graph below shows the two price plan options of Betty and John. Betty and John's cell phone price plan options 450 400 350 Total cost in Rand 300 250 200 B 150 100 50 0 0 20 40 60 80 100 120 140 160 180 200 Number of minutes TABLE 1: BETTY AND JOHN’S CELL PHONE PRICE PLAN OPTIONS Number of 0 20 60 80 100 150 160 200 minutes Prepaid price R0 R40 R120 R160 R200 R300 R320 R400 plan option (A) – Betty Contract price R200 R200 R200 R200 R224 R284 R296 R344 plan option (B) – John Use the information above to answer the questions that follow. 2.2.1 Name the independent variable on the graph. (2) 2.2.2 What are the fixed cost for the contract price plan option? (2) Copyright reserved Please turn over

Mathematical Literacy/P1 7 NW/June 2024 Grade 11 2.2.3 Use the table and graph A to write a formula to calculate the total cost of Betty’s price plan in the form: 𝑻𝒐𝒕𝒂𝒍 𝒄𝒐𝒔𝒕 = … (3) 2.2.4 According the graphs, at how many minutes will the total cost for both Betty and John’s price plan options be the same? (2) 2.2.5 Calculate the cost per minute for the contract price plan option. (3) [22] Copyright reserved Please turn over

Mathematical Literacy/P1 8 NW/June 2024 Grade 11 QUESTION 3 3.1 Mr. Johan Botha sells second-hand cars. He mainly sells white cars and minimally other coloured cars. Below is the calendar showing the colour and number of cars he sold during January to June months. TABLE 2: NUMBER OF CARS SOLD FROM JANUARY TO JUNE JANUARY FEBRUARY MARCH 7 white cars 9 white cars 12 white cars 2 other colour cars 3 other colour cars 5 other colour cars APRIL MAY JUNE 8 white cars 13 white cars 11 white cars 2 other colour cars 4 other colour cars 2 other colour cars Use the information above to answer the following questions. 3.1.1 How many other colour cars did Mr. Botha sell during the first six months of the year? (2) 3.1.2 Calculate the average number of white cars per month that he sold from January to June. (3) 3.1.3 Determine the median number of white cars sold in the six months. (3) 3.1.4 In the next month (July) the largest number of other colour cars is sold. Determine this number of other colour cars that is sold during the month of July if the range of the other colour cars is 8. (3) 3.1.5 Determine the probability of selling a white car in the month of March out of all the white cars sold in the six months. Give your answer as a decimal number. (3) 3.2 On the given ANSWER SHEET, complete the compound bar graph to indicate the number of cars sold by Mr. Botha during the first six months of the year. (4) 3.3 Except for the colour of a car, name ONE other factor that a person will look at when deciding to buy a car. (2) [20] Copyright reserved Please turn over

Mathematical Literacy/P1 9 NW/June 2024 Grade 11 QUESTION 4 The Botha family keeps a record of their water consumption for the month of June. Below is the number of kilolitres water used during the month. TABLE 3: NUMBER OF KILOLITRES USED WATER USAGE KILOLITRES Dish washing and laundry 5,5 Cleaning of the house 2,5 Shower and bath 4,8 Toilet 1,3 Outside water usage 5,9 The table below shows the water tariffs charged by die municipality in the town where the Botha family lives. TABLE 4: WATER TARIFFS BLOCKS CENTS / kℓ EXCLUDING 15% VAT Block 1: 0 – 6 kℓ 0,00c Block 2: 7 – 15 kℓ 1 095c Block 3: 16 – 25 kℓ 1 248c Block 4: 25 – 50 kℓ 1 645c Block 5: 51 kℓ and more 2 103c Use the information above to answer the following questions. 4.1 Calculate the percentage of the total water consumption for the month spent on cleaning the house? (3) 4.2 If 2,8 kilolitres of water are used to bath and the rest to shower, determine the probability to use bath water during the month of June. Give your final answer as ‘n simplified fraction. (3) 4.3 Mr. Botha claims that the month’s total water bill (VAT included) for the family will be more than R200. Verify showing all calculations, whether Mr. Botha’s claim is VALID. (7) 4.4 Is the data displayed in TABLE 3 discreet or continuous? Motivate your answer. (3) 4.5 Betty wants to display the data in TABLE 3 in a graph. Give her advice on the type of graph to use and whether she must use the actual values or percentages to draw the graph. (3) [19] GRAND TOTAL: 75 Copyright reserved

Mathematical Literacy/P1 1 NW/June 2024 Grade 11 ANSWER SHEET Name and surname: ________________________________________________________ QUESTION 3.2 Number of cars sold by Mr. Botha from January - June White cars 14 Other colour cars 12 10 Number of cars 8 6 4 2 0 January February March April May June Months Copyright reserved