Approximately 2,5 kg of oranges are used to make 1 ℓ of juice. The juice is poured into 5 ℓ plastic bottles.

 Determine the number of 5 ℓ bottles of juice that can be made from 400 kg of oranges

Surface area ( in mm² ) of an orange?

Volume ( in mm³) of an orange?

Franz states that a basket can hold at most 44 oranges.

Verify, by showing ALL the necessary calculations, whether Franz's statement is correct.

Show, with calculations, which ONE of the two options (Option 1 or Option 2) you would advise Franz to use so that he can pack the maximum number of boxes on the floor of the trailer.

Write down a formula that can be used to calculate the amount that can be claimed for a 2,3 ℓ vehicle using scheme B, in the form:

Amount claimed (in rand) =...

Rodney, using scheme B, claimed an amount of R9 430 for travelling 1 960 km using his 2,3 ℓ vehicle while performing official duties for the month of November 2012.

Verify, showing ALL calculations, whether Rodney claimed the correct amount

Calculate Rodney's total monthly cost (including petrol and maintenance) if he uses his 1,5 ℓ vehicle.

In October 2012 Rodney, using scheme B, used his 1,5 ℓ vehicle for his official duties and in November 2012 he used his 2,3 ℓ vehicle for his official duties. He travelled 1 960 km each month.

Determine the difference in the remaining amount from his claims for October 2012 and November 2012 after the maintenance and petrol costs have been deducted.

[The remaining amount is the difference between the amount claimed and the total monthly cost for the vehicle.]

Rodney decides to deposit a fixed amount into his bank account at the end of each month. The bank offers an interest rate of 9% per annum, compounded monthly.

At the end of two years, the final amount in his account was R104 753,89.

Calculate the fixed amount that was regularly deposited at the end of each month. The following formula may be used:

Rodney's wife is 66 years old. Her taxable income for 2012 was R315 054.

The amount of tax payable is calculated using the following table (see below)

Taxpayers qualify for:

• A primary rebate* of R11 440
• An additional rebate* of R6 390 if they are 65 years or older

* A rebate is an amount by which an individual's calculated tax is reduced.

Determine the amount of tax payable by Rodney's wife after the rebates have been deducted.

The number of persons aged 20 years and older with no schooling increased from 1996 to 2001.

Explain, with calculations, why the table shows a lower percentage of persons with no schooling in 2001 compared to 1996.

In 2011, the number of persons who were 20 years and older was approximately 59,7% of the total South African population.

Determine the total number of persons who were younger than 20 years in 2011.

The total population in South Africa was 44 819 778 in 2001.

If a person was randomly chosen in 2001, determine the probability that the person's highest level of education would only be Grade 12.

Use the graph below and TABLE 4 (above) to draw the line graph that represents the highest level of education for 2011

Describe TWO trends in the highest level of education by comparing Grade 12 and tertiary education from 1996 to 2011.

Explain why the total of the percentages in Table 5 does not add up to 100%.

Determine the province that had the median percentage of persons with grade 12 as the highest level of education in 2011.

For the data given above, the 25th percentile is 22,55% and the 75th percentile is 29,95%.

Identify the province(s) whose percentage distribution is less than the lower quartile.

A pie chart

A histogram:

Write down the names of the provinces which gained land from North West due to the boundary changes.

Tshidi resides at point T in the Northern Cape. Determine, using measurement, the actual distance (TS) from Tshidi's home (T) to point S on the new boundary. Give your answer in kilometres.

Calculate the perimeter of ONE of the pentagonal ends of the post box. 

Calculate the total surface area ( in m²) of the post box (excluding the openings for the newspaper and letter), if the following are given:

A newspaper folded into a cylindrical shape has a diameter of 12 cm. The area of the newspaper opening of the post box is 0,013 m²

Show, with calculation, whether the folded newspaper will fit in the newspaper opening of the post box.

The following formula may be used:
Area of a circle = π × r²
where π = 3,14 and r = radius

Write down the formula that could be used to calculate the delivery cost of ordinary parcels of different masses.

TABLE 6 below summarises the delivery cost of ordinary parcels according to mass.

Determine the missing values A and B.

Use TABLE 6 above and the grid provided below, to draw a line graph that represents the relationship between the delivery cost and mass of an ordinary parcel.

Koos was given directions to travel from his home to a particular place.

From his home he should:

* turn left into Pelican Road,
* then turn left into Swift Road,
* then turn left into Aylesbury Road,
* then turn right into Coly Road,
* then turn left into Villiers Road,
* then turn right into 14th Ave, and
* then drive across Main Road to his destination on the left-hand side.

Determine the place that was Koos's destination.

Zoliswa, a property developer, bought the vacant land enclosed by Swallow Crescent and Starling Crescent with a plan to build houses.

She measured the vacant land and claimed that if she marked sites with an area of 0,15 cm²
each on the map, she can get 14 sites on which she can build houses.

Verify, showing all calculations, whether her claim is valid.

Give a possible explanation why the number of learners that passed their test the first time was more in December than in any other month of the year

Determine the range of the number of learners passing the test at the first attempt.

Toni looked at the graph and claimed: 'There has been a marked increase in the number of learners that pass their driver's licence test the first time.'

Explain why her claim is INCORRECT. Give ONE example to justify your explanation.

Interpret the horizontal section of the line graph for payment Option A.

Explain why point P is represented by an open circle on the graph.

Describe in detail the cost of driving lessons if option B is used. 

The graphs intersect at points Q and R. Interpret the graphs at point Q.

Zaheera:

Toni:

In an attempt to further reduce the total cost of her driving lessons, Zaheera asks a friend to teach her some basic driving skills. After a series of free lessons with her friend, she realises that she only requires 6 hours of lessons from a driving school.

Identify the option she should now choose. Explain your answer

Calculate the difference in cost for a learner using OPTION A and another learner using OPTION B if they both require 30 hours of lessons.