Sifiso is a builder who uses building plans and measuring instruments - NSC Mathematical Literacy - Question 1 - 2022 - Paper 2
Question 1
Sifiso is a builder who uses building plans and measuring instruments.
Some measuring instruments and scales used by builders are shown below.
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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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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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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)
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=70mm2100mm=30rows
Step 10
1.3.1 Convert the mass of the flour to kilograms.
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To convert the mass of the flour to kilograms, divide by 1,000:
Mass=1000500g=0.5kg
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:
12scones30scones⋅2eggs=5eggs
Step 12
1.3.3 Each scone has an average diameter of 7 cm.
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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:
75g/dozen500g=6.67dozens
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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The scones were placed in the oven at two o'clock ten minutes in the afternoon.