NSC Mathematical Literacy Calculating elapsed time: An annual agricultural agricultu

Question

An annual agricultural agricultural show is held at NAMPO Park in the Free State in May. Farmers and other interested people visit this show to see the latest developments in farming.

ANNEXURE A shows the route map to NAMPO Park.

Use ANNEXURE A to answer the questions that follow.

1.1.1 Name the TWO towns closest to NAMPO Park. (2)

1.1.2 Give the TWO general compass directions that a visitor must use to travel by car from OR Tambo Airport, via Klerksdorp, to reach NAMPO Park. (4)

1.1.3 The distance from Bloemfontein to Welkom is 152 km and the distance from Bloemfontein to Bultfontein is 100 km.

Determine, with calculations, the route the organisers used to indicate the distance from Bloemfontein to NAMPO Park. (3)

1.1.4 Alfred departs from NAMPO Park at 18:45 and travels to Sasolburg at an average speed of 88 km/h. He calls his wife to inform her that he will arrive in Sasolburg at 8 pm.

Verify, with calculations, whether his timing is correct.

You may use the formula: Distance = speed × time. (6)

1.2 There are rectangular prism-shaped water troughs for cattle on display. The troughs are made of concrete, as shown in the picture below.

PICTURE OF A CONCRETE TROUGH

OUTER DIMENSIONS OF A TROUGH

Length = 3 m
Width = 685 mm
Height = 40 cm

Volume of a rectangular prism = length × width × height.

NOTE:
• A trough is a long, narrow, open container for animals to drink from.
• 1 € 1 000 cm³

Use the information above to answer the questions that follow.

1.2.1 Calculate, in cm³, the volume of concrete used to make this trough if the trough can hold a maximum of 485 € of water. (7)

1.2.2 A cow drinks 56 € of water per day. Alfred stated that a full trough has enough water for 8 cows per day.

Verify, with calculations, whether this statement is CORRECT. (3)

1.2.3 Determine how long, to the nearest minute, it will take to fill a half-empty trough if the water flows in at a rate of 14.5 € per minute. (3)

1.3 Use ANNEXURE B to answer the questions that follow.

1.3.1 Determine the approximate distance from stand 14 to the nearest rolling door. (2)

1.3.2 Measure the distance from the beginning of stand 10 to the end of stand 17 and, hence, determine, to ONE decimal place, the scale of this plan. (3)

1.3.3 The exhibitor's rate for a 4 m × 4 m stand is R22 942.

Cyril stated that he must pay exactly R25 000 for stand 26.

Verify, showing all calculations, whether this statement is valid. (5)

An annual agricultural agricultural show is held at NAMPO Park in the Free State in May - NSC Mathematical Literacy - Question 1 - 2019 - Paper 2

Worked Solution & Example Answer:An annual agricultural agricultural show is held at NAMPO Park in the Free State in May - NSC Mathematical Literacy - Question 1 - 2019 - Paper 2

1.1.1 Name the TWO towns closest to NAMPO Park.

1.1.2 Give the TWO general compass directions that a visitor must use to travel by car from OR Tambo Airport, via Klerksdorp, to reach NAMPO Park.

1.1.3 Determine, with calculations, the route the organisers used to indicate the distance from Bloemfontein to NAMPO Park.

1.1.4 Verify, with calculations, whether his timing is correct.

1.2.1 Calculate, in cm³, the volume of concrete used to make this trough if the trough can hold a maximum of 485 € of water.

1.2.2 Verify, with calculations, whether this statement is CORRECT.

1.2.3 Determine how long, to the nearest minute, it will take to fill a half-empty trough.

1.3.1 Determine the approximate distance from stand 14 to the nearest rolling door.

1.3.2 Measure the distance from the beginning of stand 10 to the end of stand 17 and find the scale.

1.3.3 Verify, showing all calculations, whether this statement is valid.

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