MATHEMATICAL LITERACY
PAPER 1
GRADE 12
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2018
INSTRUCTIONS AND INFORMATION
QUESTION 1
A furniture store offers a dining-room suite for sale. It should be paid off in 42 equal monthly instalments of RI 078,26 (14% VAT included). No deposit is required for this offer. [Source: www rochester.co.za] |
1.1
1.1.1 Express (in years) the total repayment period for this offer. (2)
1.1.2 Determine the total repayment cost for this dining room suite (2)
1.1.3 The advertised price for this dining room suite is R29 999,00. The store offers 15% discount on the advertised price if the purchase is settled immediately in ONE payment
Calculate the value of the discount amount offered. (2)
1.2
1.2.1 Give, in simplified form, the ratio of distance AD to distance CB (2)
1.2.2 The perimeter of ABCD is 125,92. Calculate the distance CD. (2)
1.2.3 Write down the length of the radius of the pool. (2)
1.2.4 A fence will be erected along the curved side AB at a cost of R97,56 per running metre. Calculate the total cost of erecting the fence. (2)
1.3
TEMPERATURE IN ‘C (Celsius) | WEATHER FORECAST | |||
CITY | MAXIMUM | MINIMUM | SUN AND CLOUD COVER | % CHANCE OF RAIN |
A | 24 | 6 | 59 | |
32 | 26 | 0 | ||
8 | -7 | 3 |
Use TABLE 1 above to answer the questions that follow.
1.3.1 Identify the city with the lowest temperature (2)
1.3.2 Calculate the temperature range for City C (2)
1.3.3 A probability scale in words and as decimal fractions is given below.
Use the probability scale and TABLE l above to answer the questions that follow.
1.4
Use the information and the graph above to answer the questions that follow.
1.4.1 Name the type of graph used to represent the data (2)
1.4.2 Express the number of candidates who wrote this paper in words (2)
1.4.3 Identify the question in which the candidates obtained the second lowest average percentage mark (2)
1.4.4 Determine (in minutes) the average time per mark required for this paper (2) [30]
QUESTION 2
2.1
Mapotjo contributes a regular monthly amount from her salary towards a retirement annuity. This amount is deducted from her salary through a stop order on the 15th day of each month. Below is a summary of the statement of her retirement annuity, as on 10 May 2017. | |
Policy number | 0097541 |
Maturity date | 1 November 2029 |
Monthly contribution | R740,22 |
Payment frequency | Monthly |
Current death value | R189 817,05 |
Retirement value — Lower inflation rate | R536 523,25 |
Retirement value — Higher inflation rate | R940 465,89 |
[Source: www.mv portfolio. co.za |
Use the information above to answer the questions that follow.
2.1.1 Define the concept stop order (2)
2.1.2 Calculate the difference between the TWO retirement values (2)
2.1.3 Determine the number of monthly contributions that still need to be paid by Mapo{jo before the policy matures (4)
2.1.4 Determine the total value of the contributions over five years if her monthly contribution remains the same (3)
2.1.5 Fill in the missing word(s) to make the following statement TRUE. An annual increase in the monthly contribution would result in ....... maturity value. (2)
2.1.6 Show that if her monthly contribution increased by 8,5%, then the new monthly deduction from her salary would be R803,14. (2)
2.2
Zoom Car Wash employs a supervisor, eight general cleaners and a machine operator. The cleaners work for seven days a week, where Monday to Saturday is regarded as normal working hours. TABLE 2 below shows the hourly wage rate for EACH of the worker groups for 2016 and 2017. TABLE 2: ZOOM CAR WASH NORMAL HOURLY WAGE RATE (IN RAND PER HOUR) FOR 2016 AND 2017 | ||
WORKER GROUP | 2016 | 2017 |
Supervisor | A | 21,93 |
General cleaners | 16,40 | 17,76 |
Machine operator | 17,90 | 19,39 |
[Adapted from Mvwaee co za] | ||
NOTE:
|
Use TABLE 2 above to answer the questions that follow.
2.2.1 Calculate the 2017 overtime hourly rate for a general cleaner (2)
2.2.2 Determine the total wage a machine operator would earn for working only THREE Sundays (5)
2.2.3 All the workers received a wage increase at the beginning of 2017
2.2.4 A general cleaner worked normal working hours for a full week. Calculate his total weekly wage. (3)
2.3 TABLE 3 below shows the record of the vehicles washed on a particular day.
TABLE 3: RECORD OF VEHICLES WASHED ON A PARTICULAR DAY | ||
CATEGORY | NUMBER | COST PER VEHICLE |
Bakkies | 7 | R70 |
Cars | 35 | R50 |
Minibus | 4 | R75 |
Calculate the total income received for the vehicles washed on this particular day. (4)
2.4
The supervisor at Zoom Car Wash has to report for duty 30 mminutes earlier than the normal starting time, from Monday to Saturday but leaves work at the same time as the other workers. He receives a monthly salary, works every Sunday and is paid overtime. TABLE 4 below shows a monthly salary slip (some data omitted) for the supervisor. TABLE 4: MONTHLY SALARY SLIP FOR THE SUPERVISOR | |||
SALARY SLIP | |||
Name of employer | Zoom Car Wash | ||
Address | 12 Stateway | ||
Name of employee | M Ncubuka | ||
ID No.: 890106 5387 000 | Employee No.: 124567 | ||
Position | Supervisor | ||
Payment period: 1 November 2017 to 30 November 2017 | |||
RATE | TOTAL HOURS | AMOUNT IN | |
Normal hours worked | 21,93 | ...... | B |
Sunday hours (1,5 normal rate) | 32,90 | 9 × 1 × 4 | 1 184,40 |
Overtime hours worked/ (1}— of normal rate) | ...... | 0,5 × 6 × 4 | 350,88 |
TOTAL Gross Salary | 6 272,16 | ||
UIF (1% of gross salary) | .... | ||
Net salary | 6 209,44 | ||
[Source: www.zoomhandcarwash.com] NOTE: Employer and employee each contribute a monthly amount of 1% of the employee's gross salary for UIF. |
Use TABLE 4 above to answer the questions that follow.
2.4.1 Explain the term employer (2)
2.4.2 State ONE benefit of contributing towards the UIF (2)
2.4.3 Calculate:
QUESTION 3
3.1
A nurse from Port Allen Clinic conducts road shows to demonstrate the use of growth charts to parents. She uses a weight-for-age chart for boys as on ANNEXURE A, which shows the recorded measurements of a boy for three visits. |
Use ANNEXURE A to answer the questions that follow.
3.1.1 Identify the age group represented on this chart (2)
3.1.2 Give the boy's weight at his first visit (2)
3.1.3 Determine the boy's age (in months) during a visit when he weighed a little less than 9 Kg (2)
3.1.4 The boy's first visit was in May.Determine the month in which the third visit took place. (2)
3.1.5 During the fourth visit, the boy weighed 11,2 kg and his body mass index (BMI) was calculated as 19,5 kg/m2. Calculate the boy's corresponding height (in metres) rounded off to THREE decimal places. (4)
You may use the following formula: BMI = weight (in kg)
(height in m) 2
3.2
The nurse uses a sedan vehicle to travel. The fuel consumption of her vehicle is 7,6 litres per 100 km travelling at an average speed. [Adapted from m.automobilio.info] |
3.2.1 Calculate (to the nearest km) the distance her vehicle can travel using 55 litres of petrol (3)
3.2.2 The nurse spends 1 hour and 45 minutes on a particular day driving between two workstations that are 189 km apart. Determine the average speed of the vehicles. (3)
You may use the following formula: Average speed = distance
time
3.3
3.3.1 Calculate the volume (to the nearest litre) of ONE medicine box excluding the handle. (4)
You may use the following formula:
Volume = length × width × height
3.3.2 The medicine box contains FOUR identical smaller boxes. EACH small box contains four different types of pills in cylindrical containers which are labelled A, B, K and U, as shown below
Determine (as a decimal fraction) the probability of randomly selecting a type U container from the medicine box. (3) [25]
QUESTION 4
4.1
Rammone plans to travel from Colesberg to Port Elizabeth using only national roads. |
Use ANNEXURE B to answer the questions that follow.
4.1.1 .Name the national roads that Rammone will use to travel to Port Elizabeth (2)
4.1.2 Which national park is furthest from the N10? (2)
4.1.3 Rammone met a friend in Paterson who had to travel 61 km via the R336 from his hometown. Name the friend's hometown. (2)
4.1.4 Calculate the travel distance between the TWO national parks(3)
4.2
Rammone visited Port Elizabeth to check on the progress made on the house being built for his parents. |
Use ANNEXURE C to answer the questions that follow.
4.2.1 Give (in mm) the external length of the wall that makes the area of Bedroom 1 larger than Bedroom 2 (2)
4.2.2 Determine (in m) the total external length of the western wall of the house (2)
4.2.3 Name the room(s) that has more than ONE entrance (2)
4.2.4 Identify the roorrr that has the same floor area as the living room (2)
4.2.5 Which bathroom fixture is NOT shown on the floor plan? (2) [19]
QUESTION 5
5.1
5.1.1 Which ONE of the following terms best describes the data above:
5.1.2 Determine the percentage of data values that lies between the upper and lower quartiles (2)
5.1.3 The range of Class A is 34. Calculate the value of F. (3)
5.1.4 Calculate the median percentage mark for Class A (2)
5.1.5 Determine the inter quartile range for Class B (3)
5.1.6 Give the modal percentage mark for Class A (2)
5.1.7 Calculate the missing value H if the mean percentage mark for Class A is 70%. (3)
5.1.8 Determine (as a simplified common fraction) the probability of randomly selecting a learner from Class A who obtained a percentage mark different from any other learner in the class (3)
5.2
A survey on the distribution of literacy levels among adults aged 35 to 64 was conducted in all provinces in South Africa. Table 5 below shows the 2016 adults (aged 35 to 64) literacy levels per province. TABLE 5: ADULTY (AGED 35 TO 64) LITERACY LEVELS PER PROVINCE | |||||
PROVINCE | LITERACY LEVELS | TOTAL | |||
NON-LITERATE | LITERATE | ||||
Number | % | Number | % | ||
Western Cape | 288 918 | 14,1 | 1 762 494 | 85,9 | 2 051 412 |
Eastern Cape | 393 954 | 26,0 | 1 120 567 | 74,0 | 1 514 521 |
Northern Cape | 94 552 | 27,9 | 244 282 | 72,1 | 338 834 |
Free State | 192 933 | 24,1 | 609 029 | 75,9 | 801 962 |
KwaZulu-Natal | 650 033 | 24,9 | 1 956 497 | 75,1 | 2 606 530 |
North West | 299 994 | 28,3 | 760 068 | 71,7 | 1 060 062 |
Gauteng | 575 371 | 12,5 | 4 013 463 | 87,5 | 4 588 834 |
Mpumalanga | 312 273 | 28,5 | 784 347 | 71,5 | 1 096 620 |
Limpopo | 372 090 | 28,7 | 922 171 | 71,3 | 1 294 261 |
TOTAL | Q | 12 172 918 | 15 353 036 | ||
[Adapted from Community Survey, 2016] NOTE: Some data has been omittted. |
Use TABLE 5 above to answer the questions that follow.
5.2.1 Calculate the missing value Q (2)
5.2.2 Determine the percentage of literate adults in South Africa (3)
5.2.3 Express (as a unit ratio) the number of non-literate adults to the number of literate adults in KwaZulu-Natal. (3)
5.2.4 Arrange the number of literate adults per province in ascending order (2)
5.2.5 Determine the province with the smallest difference between the number of literate and the number of non-literate adults (2) [32]
TOTAL: 150