First Controlled Test
Mathematical Literacy
Grader 12
Marks : 55Time: 60 mins
______
Question 1
1.1.Calculate each of the following:
a) [1]
b)[1]
1.2.Decrease 75 by 25 %[2]
1.3.Convert to a percentage.[1]
1.4.Simplify the following ratio:24 : 56[1]
1.5.The number of men to lady teachers is 2:5. How many teachers are there on the staff it there 15 ladies. [2]
1.6.How many US dollars can be bought with R 15 295,60 if the exchange rate is R9,88 per US dollar. [1]
1.7.Jean is a waitress at a coffee shop. She earns R 20,00 per hour plus R2,50 for every cup of coffee she serves. How much does she earn if she works for 7 hours and serves 22 cups of coffee? [2]
1.8.There are 10 cars in the showroom. Two are white, five are blue and three are red.
a)What is the probability that the first car sold will be a blue one. [1]
b)If the first car sold is blue. What is the probability that the next car sold will be a red one. [1]
1.9.Consider the following formula:
WhereA=accumulated amount
i=interest rate divided by 100
n=number of compounds
Calculate the amount Jason will receive if he invests R30 000for five years at an interest rate of 9,5% p.a. compounded quarterly. [3]
1.10.These are Guillermo’s test marks for the year (out of 200).
896590788981
10.1.What is his average mark for the year.[1]
10.2.What is his median mark?[1]
10.3.What is the range of his marks?[1]
10.4.What is his average percentage?[1]
[ 20 marks ]
Question 2
The Comrades Marathon is a gruesome marathon held annually between Pietermaritzburg and Durban. The number of participants has increased tremendously through the years.
Below is a table indicating the different categories with the number of participants per category in the 2008 Comrades Marathon.
Category Totals
Event / Category / Men / WomenMarathon / Ages 20 - 29 / 1040 / 174
Ages 30 - 39 / 3319 / b
Ages 40 - 49 / 3216 / 816
Ages 50 - 59 / a / 235
Ages 60 + / 285 / 20
TOTALS / 9306 / 1885
2.1Calculate the values of a and b in the table above[2]
2.2Calculate the percentage of men who are between 40 and 49 years
of age.[3]
2.3Statistics show that 5208 participants are not foreigners. What is the number of
foreigners as a percentage of the total participating in the marathon?[3]
2.4The start of the race alternates between Durban and Pietermaritzburg every year. If the race started in Durban in 1980, where did the race start this year? [2]
2.5The distance from Pietermaritzburg to Durban is 90km.
Simon starts the race at 6 am and completes it at 4:30pm.
2.5.1. Calculate his average speed given that:[3]
Distance = Speed x Time
2.5.2If Simon’s wife wants to meet him 2pm, how far from the finish will he be?[4]
[ 17 marks ]
Question 3
3.1Clifford needs to tile a floor with square tiles that are 30cm long.
These tiles are fixed with no spaces in between them.
3.1.1 How many tiles will he need to tile one row if the floor is 4,5m
wide.[2]
3.1.2 If he requires 8 rows to cover the whole floor, how many tiles
does he need.[1]
3.1.3. Calculate the area of this room.[2]
3.1.4How many square meters of tiles is required?[3]
3.1.5If tiles cost R170,00 per square metre, how much is he going to pay for tiles? [2]
3.1.6If a bag of tile cement covers 3 square meters, how many bags of
tiles cement does he require. [3]
[ 13 marks ]