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The diameter of the cheeseboard is 300 mm - NSC Mathematical Literacy - Question 1 - 2021 - Paper 1

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The diameter of the cheeseboard is 300 mm. 1.1.1 Calculate the radius of the cheeseboard. 1.1.2 Write the cost of the 90-minute workshops in descending order. 1.1... show full transcript

Worked Solution & Example Answer:The diameter of the cheeseboard is 300 mm - NSC Mathematical Literacy - Question 1 - 2021 - Paper 1

Step 1

Calculate the radius of the cheeseboard.

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Answer

To find the radius, we take half of the diameter. Given that the diameter is 300 mm:

Radius=Diameter2=300 mm2=150 mm\text{Radius} = \frac{\text{Diameter}}{2} = \frac{300 \text{ mm}}{2} = 150 \text{ mm}

Step 2

Write the cost of the 90-minute workshops in descending order.

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Answer

The costs of the 90-minute workshops are as follows:

  • Art for Beginners: R330,00
  • Creative Hand Lettering: R220,00
  • Bunny Bin: R220,00
  • Creative Journaling: R275,00

In descending order: R330,00, R275,00, R220,00.

Step 3

Determine the VAT amount charged for the Creative Journaling workshop.

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Answer

The cost of the Creative Journaling workshop is R275,00.

To calculate the VAT amount:

VAT=Price×0.15=R275,00×0.15=R41,25\text{VAT} = \text{Price} \times 0.15 = R275,00 \times 0.15 = R41,25

Step 4

Convert 150 minutes to hours.

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To convert minutes to hours, we divide by 60:

Hours=150 minutes60=2.5 hours\text{Hours} = \frac{150 \text{ minutes}}{60} = 2.5 \text{ hours}

Step 5

Calculate (excluding VAT) the total cost for a person attending all the workshops.

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Answer

The total cost before VAT for all the workshops is:

Total Cost=R330,00+R275,00+R220,00+R165,00+R110,00=R1,100.00\text{Total Cost} = R330,00 + R275,00 + R220,00 + R165,00 + R110,00 = R1,100.00

Step 6

Determine the discount amount offered for the Art for Beginners' workshop.

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Answer

The discount for the first 10 participants is 7.5%. Thus:

Discount=R330,00×0.075=R24,75\text{Discount} = R330,00 \times 0.075 = R24,75

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