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Sifiso is a builder who uses building plans and measuring instruments - NSC Mathematical Literacy - Question 1 - 2022 - Paper 2

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Sifiso is a builder who uses building plans and measuring instruments. Some measuring instruments and scales used by builders are shown below. Choose an item from ... show full transcript

Worked Solution & Example Answer:Sifiso is a builder who uses building plans and measuring instruments - NSC Mathematical Literacy - Question 1 - 2022 - Paper 2

Step 1

1.1.1 The most appropriate scale to draw a map of South Africa

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Answer

The most appropriate scale for drawing a map of South Africa is A, which represents a scale of 0 - 100.

Step 2

1.1.2 The instrument most suited to measure the circumference of a dinner plate

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Answer

The instrument most suited to measure the circumference of a dinner plate is D, which is a tape measure.

Step 3

1.1.3 The most appropriate scale to draw a plan of a house

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Answer

The most appropriate scale for drawing a plan of a house is C, representing a scale of 1:500.

Step 4

1.1.4 The instrument most suited to measure the width of a soccer field

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Answer

The instrument most suited to measure the width of a soccer field is D, which is a tape measure.

Step 5

1.1.5 The instrument most suited to measure the length of a pencil

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Answer

The instrument most suited to measure the length of a pencil is E, which is a ruler.

Step 6

1.2.1 State which formula (A, B or C) can be used to calculate the total surface area (TSA) of the given brick.

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Answer

The formula that can be used to calculate the total surface area of the given brick is B:

TSA(brick)=(2×240×70)+(2×240×112)+(2×112×70)TSA(brick) = (2 × 240 × 70) + (2 × 240 × 112) + (2 × 112 × 70)

Step 7

1.2.2 State the unit of measurement for the volume of this brick.

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The unit of measurement for the volume of the brick is cubic millimeters (mm³).

Step 8

1.2.3 Calculate the length of this brick.

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Answer

The length of the brick is given as 240 mm.

Step 9

1.2.4 Determine the maximum number of rows of bricks that can be stacked height-wise to a height of 2 100 mm.

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Answer

To determine the maximum number of rows, divide the total height by the height of one brick:

Numberofrows=2100mm70mm=30rowsNumber\,of\,rows = \frac{2100\,mm}{70\,mm} = 30\,rows

Step 10

1.3.1 Convert the mass of the flour to kilograms.

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Answer

To convert the mass of the flour to kilograms, divide by 1,000:

Mass=500g1000=0.5kgMass = \frac{500\,g}{1000} = 0.5\,kg

Step 11

1.3.2 Determine the number of large eggs needed to make 30 scones.

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Answer

For 12 scones, 2 eggs are required, so for 30 scones, use the proportion:

30scones12scones2eggs=5eggs\frac{30\,scones}{12\,scones} \cdot 2\,eggs = 5\,eggs

Step 12

1.3.3 Each scone has an average diameter of 7 cm.

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Answer

The average diameter of each scone is 7 cm.

Step 13

1.3.4 Calculate how many full dozen scones can be made with 500 g of butter.

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Answer

With 75g of butter per dozen scones, the calculation is:

500g75g/dozen=6.67dozens\frac{500\,g}{75\,g/dozen} = 6.67\,dozens

Thus, 6 full dozen scones can be made.

Step 14

1.3.5 The scones are placed in the oven at 14:10.

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The scones are placed in the oven at 14:10.

Step 15

1.3.6 Write down, in words, the time the scones were placed in the oven.

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Answer

The scones were placed in the oven at two o'clock ten minutes in the afternoon.

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