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91947 – Worked Solutions - 2025

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1.4 (AS 91947) – 2025 Answers

Quite often, there are different ways to solve a Mathematics problem.

These solutions/strategies show one possible way to solve them.

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Question 2 (a)

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Question 2 (b)

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Question 2 (c)

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Question 2 (d)

g

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QUESTION TWO

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Question 2 (a)

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Question 2 (b)

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Question 2 (b)

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4.24 cm

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4.24 cm

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4.24 cm

 

6.78 cm

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4.24 cm

6.78 cm

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4.24 cm

6.78 cm

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4.24 cm

6.78 cm

7.27 cm

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4.24 cm

6.78 cm

7.27 cm

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4.24 cm

6.78 cm

7.27 cm

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4.24 cm

6.78 cm

7.27 cm

 

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Question 2 (c)

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Question 2 (c)

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Question 2 (c)

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Question 2 (c)

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Question 2 (c)

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Question 2 (c)

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Question 2 (c)

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Question 2 (d)

The diagram shows the cross-section and plan of a large hole dug in the ground. The top section is a cuboid and the hole is symmetrical about the line PQ.

All sides, and the two ends (ABCPB and EFGQH) are vertical.

It is known that 1m3 of earth weighs 800kg.

One truck is able to transport 45 tonnes of earth in one single load.

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Calculate the number of truck trips required to remove all the earth from the hole.

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Question 2 (d)

The diagram shows the cross-section and plan of a large hole dug in the ground. The top section is a cuboid and the hole is symmetrical about the line PQ.

All sides, and the two ends (ABCPB and EFGQH) are vertical.

It is known that 1m3 of earth weighs 800kg.

One truck is able to transport 45 tonnes of earth in one single load.

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Calculate the number of truck trips required to remove all the earth from the hole.

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15

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It will take 160 trips from the truck (or trucks) to remove all the dirt in this large hole.