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AustraliaVIC
VCE 11 Methods 2023

11.01 Algorithms

Worksheet
Following algorithms
1

State whether the following tasks can be completed by following an algorithm:

a

Falling asleep

b

Making friends

c

Cooking a meal from a recipe book

d

Building a toy out of Lego

2

Alana has the following algorithm for wrapping a present but it is in the wrong order:

  • Stick paper down with sticky tape

  • Choose wrapping paper

  • Decorate with a bow

  • Wrap the paper around the present

a

What should be the first step?

b

What would be the last step?

3

The following instructions are in the wrong order:

  • Turn off the tap

  • Rinse the soap away with water

  • Rub your hands

  • Put soap on your hands

  • Turn on the tap

a

What should be the second step?

b

What would be the last step?

4

What could the following algorithm be for?

StepInstruction
1Weigh out all the ingredients
2Mix butter, sugar and eggs together
3Stir in the flour
4Bake in the oven
5

For each of the following algorithms, work out the output at each step and complete the table:

a
StepInstructionOutput
1\text{Start with the number }100
2\text{Subtract }22\text{ from }100
3\text{Round the result to the nearest ten}
b
StepInstructionOutput
1\text{Start with the number }70
2\text{Double }70
3\text{Add }21
c
StepInstructionOutput
1\text{Start with the number }16
2\text{Add }5\text{ to }16
3\text{Double the result }
d
StepInstructionOutput
1\text{Start with the number }2
2\text{Add }2\text{ to }2
3\text{Round your answer to the nearest ten }
e
StepInstructionOutput
1\text{Start with the number }36
2\text{Halve }36
3\text{Add }3\text{ to the result}
f
StepInstructionOutput
1\text{Start with the number }12
2\text{Multiply }12\text{ by }10
3\text{Add }5 \text{ to the result}
g
StepInstructionOutput
1\text{Start with the number }6
2\text{Subtract }1\text{ from }6
3\text{Double the result }
h
StepInstructionOutput
1\text{Start with the number }80
2\text{Add }19\text{ to }80
3\text{Round the result to the nearest ten}
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Outcomes

U12Out2.4

key elements of algorithm design: sequencing, decision-making, repetition and representation including the use of pseudocode.

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