MATHEMATICAL LITERACY

CONTENT TOPICSTerm 1 Term 2

BASIC SKILLS Number formats, Operations and

calculator skills, Rounding, Ratios, Proportions, Rates, Percentages

RELATIONSHIPS Direct & Inverse proportion,

relationships (tables, equations and graphs),

MEASUREMENT (CONVERSIONS) Metric to Imperial, Solid to Liquid,

Temperature MEASUREMENT (TIME)

Time formats, Elapsed Time, Timetables, Trips Planning

FINANCIAL DOCUMENTS Pay slips, Budgets, Quotations, Invoices,

Receipts, Banking DocumentsTARIFF SYSTEMS

Municipal, Telephone, Transport and Bank fee tariffs

INCOME & EXPENDITURE Profit and Loss, Cost and Selling Price,

Fixed and Variable Costs, Break-even Analysis

INTEREST, BANKING & INFLATION Simple and Compound Interest Loan agreements, Investments, Hire-

Purchase and Impact of Inflation

MEASURING LENGTH, WEIGHT, VOLUME, TEMPERATURE

Calculation of distance, Time taken, Speed, BMI, Fuel Consumption Rate

SCALE Number and Bar Scales, Calculation of

Actual Length, 2-dimensional plans

MAPS Street Map with Grid Reference National and Provincial Maps Strip Charts showing distances Elevation Maps Residential or Housing Estate Maps

Arranged and packaged by Free State Mathematical Literacy Subject Advisors in April 2020

GRADE 11 2020

TERM 1 & 2 RECOVERY ACTIVITIES

Grade 11 Exam type questions 1 Term 1 and 2

MATHEMATICAL LITERACY

EXAM TYPE QUESTIONS FOR GR 11

TERM 1

TOPIC: Relationships

QUESTION 1

Mr Mabula wants to take a short trip with his family. He considers

the packages offered by CHEETAH TAXI SERVICES.

PACKAGE A: Flat rate of R580,00 for unlimited kilometersPACKAGE B: Fixed cost of R200,00 plus R3,50 per kilometer travelled.

1.1 The following table represent the information for PACKAGE A and PACKAGE B:

No. of kms 0 10 15 20 BPACKAGE A R580 R580 R580 R580 R580PACKAGE B R200 R235 A R270 R305

Calculate the following values in the table:

a) A (2)b) B (3)

1.2 Write down the formula for calculating the cost of PACKAGE B in the form:

Cost (in Rand) = ................. (2)

1.3 Katlego, Mr Mabula’s son argued that since they will trael a return trip of 110km, it is more cost effective to choose PACKAGE B. Is Kaglego correct? Justify your answer using calculations.

(4)

1.4 On the day of the trip, Mr Mabula was driving at an average speed of 70 km/h. Calculate the time they took for the entire trip. Write the answer in hours and minutes.

You may use the formula: Distance = speed × time (4)

1.5 What do we call the relationship for:a) PACKAGE A? (2)b) PACKAGE B? (2)

1.6 The straight line graph for PACKAGE A is drawn on the graph below. On the same system of axes, draw a graph representing PACKAGE B. (4)

Grade 11 Exam type questions 2 Term 1 and 2

1.7 Identify the dependent and independent variable in the graph shown above. (2)

Grade 11 Exam type questions 3 Term 1 and 2

TOPIC: Measurement: Time, Conversions

QUESTION 2

Mary owns a coffee shop where she bakes and serves blueberry muffins. The recipe is given below; study it thoroughly to answer the questions based on it.

Blueberry muffins:INGREDIENTS (Makes 10 standard muffins – 1 batch):1 ½ cups of cake flour ¾ cups white sugar ½ tsp. salt2 tsp. baking powder13 cup vegetable oil1 large egg12 cup milk1 ½ tsp. vanilla essence1cup fresh blueberries

The Muffins have to be baked at an oven temperature of 400 °F for 25 minutes. The preparation time for the muffins is 15 minutes.

KEY: teaspoon = tsp. = 5 ml NOTE: One cup = 250 ml

[source:www.allrecipes.com]

2.1 Calculate in ml the vanilla essence needed for this recipe. (3)

2.2 Calculate in litres the milk needed for this recipe. (3)

2.3 How many eggs does Mary need to bake 30 muffins?(2)

2.4 Calculate the time (in hours) that will be needed to bake 20 standard blueberry muffins, if one batch is baked at a time. (3)

2.5 Convert 400 F (degrees Fahrenheit) to C (degrees Celsius) using the following formula:

Temperature in C =°F - 32°1,8 (3)

2.6 It takes Mary 25 minutes to bake the blueberry muffins. She took out the tray of muffins that was in the oven at the time shown on the watch. Determine the time that she put the tray into the oven.

Ignore the thin third hand (showing seconds) and read the time using only the hour- and minute-hands.

Grade 11 Exam type questions 4 Term 1 and 2

2.7 What kind of clock is shown above? (2)

2.8 If Mary is baking the muffins during the morning, write the time on the clock in 24-hour format. Ignore the seconds. (2)

TOPIC: Financial document, tariffs, income/expenditure

QUESTION 3

Nolwazi’s Income and Expenditure statement for the last five months of 2017 is given below. Study the statement and answer the questions that follow.

Item AUG SEPT OCT NOV DECCASH OUT (RAND)Catering equipment Hire

5 000 1 500 0 2 300 A

Electricity and Water 1 790 475 475 1 475 1 809Purchase of meat 2 500 680 0 798 2 890Purchase of juice 849,75 339,90 0 509,85 1 019,70Loan repayment 850 850 850 850 850Wages for assistance 2 000 500 0 1 500 3 000Total cash out (X) B 4 344,90 1 325 7 432,85 17 780,70

CASH IN (RAND)Bank Loan 20 000 0 0 0 0Functions 0 6 897 2 350 11 809 28 000Total Cash In (Y) 20 000 6 897 2 350 11 809 28 000

Difference between Y and X

C 2 552,10 1 025 4 376,15 10 219,30

Balance carried over 0 7 010,25 9 562,25 10 587,35 EFinal Balance (RAND) 7 010,25 9 562,35 10 587,35 D 25 182,80

3.1 During which month did Nolwazi take out a bank loan? (2)

3.2 Calculate the amount, A, spent on catering equipment hire in December. (2)

3.3 Determine B, the total cash flowing out of the business for August. (2)

3.4 Calculate C, the difference between Y and X for August. (2)

3.5 Determine D, the final balance for November. (2)

3.6 Calculate E, the balance carried over for December. (2)

Grade 11 Exam type questions 5 Term 1 and 2

QUESTION 4

Cape Town experienced in 2018 severe water restrictions because of the ongoing drought in the area. Fortunately, due to good rains, in December 2018 the water restrictions could have be lowered from a level 5 to a level 3 status which includes increasing the daily usage from 70 litres per person per day to 105 litres per person per day; or from 500 million litres to 650 million litres of collective usage per day.

The tariff system could also be lowered to a level 3 tariff system.

Table 1: Water tariff system for the City of Cape Town

Residential Water Tariffs

Water Steps

Volume of Water used Level 3From 1/12/2018(Including VAT)

Level 5Until 30/11/2018(Including VAT)

Step 1 More than 0 kℓ and up to 6kℓ R15,73 (Free for indigent* households)

R24,37 (Free for indigent* households)

Step 2 More than 6 kℓ and up to 10,5kℓ

R22,28 (Free for indigent households)

R39,59 (Free for indigent households)

Step 3 More than 10,5 kℓ and up to 35kℓ

R31,77 R60,25

Step 4 More than 35 kℓ R69,76 R345,00

(Source: https://businesstech.co.za/news/finance/288016/cape-town-is-lowering-water-restrictions-and-tariffs-heres-what-youll-now-be-paying/)

NOTE:

*indigent household: poor/needy households

4.1 Give a possible reason why indigent househols will get some water for free. (2)

4.2 Calculate the percentage decrease in the Level 5 tariff to the level 3 tariff for step 4. Use the following formula:

Level5 tariff −level 3 tariffLevel5 tariff

×100 %(4)

4.3 Give a possible reason for the very high level 5 tariffs in comparisson to the level 3 tariffs. (2)

Grade 11 Exam type questions 6 Term 1 and 2

4.4 The Smith family (that is not indigent) used 20 kℓ in March 2019. Mr. Smith calculated that the water will cost the household R496,46 for water in that month. Was Mr. Smith correct? Do calculations to verify your answer.

4.5 There are four members in the Smith family. What is the difference between the average daily usage of water for each member of the Smith family for the month of March 2019 and the daily usage of an average person in Cape Town?

(6)

(6)

TERM 2

TOPIC: Interest, banking, inflation

QUESTION 5 Take note: inflation not for gr 11 in 2020

Use graph 1 above to answer the questions that follow:

5.1 Write down the meaning of the term inflation. (2)

5.2 If the cost of a loaf of bread was R4,56 in 2007, calculate the cost of a loaf of bread in 2008.

(3)

5.3 Determine the year when inflation was the HIGHEST. (2)

5.4 A house cost R1 650 000 in the beginning of 2006.

5.4.1 Write the cost price of the house in words. (2)

5.4.2 If the price of the house increased at the same rate as inflation, calculate the price of the house at the end of 2007. (5)

Grade 11 Exam type questions 7 Term 1 and 2

QUESTION 6

Mr Mabula has a current account with ABC Bank. The bank charges a fixed monthly fee of R99,00 on a current account. For this the following transactions are included:

6 cash withdrawals from own bank ATM Write 10 cheques 2 ATM balance statement Free Internet banking

For all other services you pay transactional fees as follows:

Withdrawal from own bank ATM: R4,90 + 1,30% of the amount withdrawn Withdrawal from teller: R30,00 + 1,50% of the amount withdrawn

6.1 Why does it cost more money to withdraw money going inside a bank, making use of a teller than when you make use of an ATM. (2)

6.2 Give any other advantage of using an ATM for withdrawals, besides that it is cheaper. (2)

6.3 During a month Mr. Mabula withdrew R2000 cash from his bank’s ATM eight times. The ninth time he goes into the bank to withdraw from the teller R3 950. He uses twice the ATM to get a balance statement. What will the total bank fees for Mr. Mabula be for the month, if these are the only transactions that Mr. Mabula does for the month. (9)

Grade 11 Exam type questions 8 Term 1 and 2

QUESTION 7

Mr. Mofokeng wants to purchase a new lounge suite. He goes to a local furniture shop and the sales person shows him the lounge suite on the picture below.

7.1.1 Calculate the amount of the discount. (2)

7.1.2 Calculate the percentage discount (rounded to one decimal place), using the following formula:

Percentage discount = Discount

Original price × 100%(3)

7.1.3 Calculate the deposit on the lounge suite if the hire- purchase option is used. (2)

7.1.4 What will be the total cost if Mr Mofokeng purchased the lounge suite on the hire- purchase option? (3)

7.1.5 How much will be saved if the cash option is used rather than the hire- purchase option to buy the lounge suite? (2)

7.2 Mr Mofokeng does not have the cash and decided to go to Bank X to make a personal loan of R15 000.The Bank offers him 15% interest compounded annually.

Calculate the total amount he will pay back to Bank X after 24 months. (4)

WAS R15 999

NOW R14 999

Hire - Purchase Options:

Deposit: 15% of the new purchase price.

R 759, 64 x 24 months

Total Cost = R_____

@ 21,5% interest p.a

Grade 11 Exam type questions 9 Term 1 and 2

TOPIC: MEASURING LENGTH, WEIGHT, VOLUME, TEMP

QUESTION 8

8.1 Jonathan is a 40-year-old male. He has been exercising very hard to compete in the Comrades Marathon and ensure that his Body Mass Index (BMI) is within the normal range for his age. Jonathan is 178 cm and weighs 82 kg. Determine whether his BMI is indeed normal for men.

Table 2: BMI status per Mass range for Males

MASS RANGE BMI STATUS<18,5 Underweight18,5 – 24,9 Normal25 – 29,9 Overweight30 – 34,9 Obese35< Extremely Obese

You may use the following formula:

BMI = Weight∈kg(height∈m)2

8.2 Jonathan is an athlete who will travel from Port Elizabeth to Durban to participate in the annual Comrades Marathon. Use the following strip map to answer the questions that follow:

Grade 11 Exam type questions 10 Term 1 and 2

8.2.1 Jonathan leaves Port Elizabeth at 06:00 and arrive at King William’s town 8:22 without making any stops. Calculate the average speed at which Jonathan travelled from Port Elizabeth to King William’s town.

You may use the following formula: Speed = Distance

Time (5)

8.2.2 Jonathan leaves King William’s town at 09:12 on route to Umtata via the N2. How long did Jonathan’s stop in King William’s town? (2)

8.2.3 From Umtata Jonathan follows the N2 until he reaches a provincial road that takes him to Port St. Johns. From there he follows the provincial road until he reaches a national road at Port Shepstone. Name the provincial road that Jonathan will use as well as the national road between Port Shepstone and Durban. (4)

8.2.4 Calculate the distance from Port St. Johns to Durban. (4)

8.2.5 Jonathan is travelling with a car with an average petrol consumption rate of 12,5 km/ ℓ. The petrol price was R13,79 per liter for 95 octane petrol on the day of Jonathan’s journay. Jonathan calculate that the petrol will cost him R1 080,00 to travel from Port Elizabeth to Durban. Is Jonathan correct? Do calculations to verify your answer.

(5)

Grade 11 Exam type questions 11 Term 1 and 2

TOPIC: Scale and Maps

QUESTION 9

Study the national road map below and answer the questions that follow.

9.1 Explain what is meant by a national road. (2)

9.2 Name the national road that connects Cape Town to Durban and that goes through some coastal towns. (2)

9.3 In which general direction is Springbok from Richards Bay? (2)

9.4 Give the destination for the following directions:From Cape Town take the N7 north towards Springbok.Then head North east, the next town on this map is the endpoint. (2)

N

Grade 11 Exam type questions 12 Term 1 and 2

QUESTION 10

Use the map above to answer the questions that follow:

10.1 Write down the grid reference for Cape Town. (2)

10.2 In which general direction is Cape Town from Aliwal North? (2)

10.3 Determine the national road that they will use to travel from Aliwal North to Cape Town via Bloemfontein. (2)

10.4 What does the scale 1:10 000 000 mean? (2)

10.5 The distance between Cape Town and Aliwal North on the map is 110mm. Use the scale to determine the actual distance in kilometres. (4)

Grade 11 Exam type questions 13 Term 1 and 2

QUESTION 11

The map that follows is an elevation map of the Comrades marathon. For the Up-run runners start at Durban (at sea level) and run towards Pietermaritzburg.

Study the map above and answer the questions that follows:

11.1 What is the heighest point of the Comrades Marathon and how far is it from Durban? (3)

11.2 Identify the 11:30 cut-off point and give the height of it above sea level. (3)

11.3 Just before the end there are two sharp inclines for the runners. Little Polys is the first. What is the name of the second? (2)

END!!