Algebra, NAPX-p169467v01

Question

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Worked Solution

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Variant 0

DifficultyLevel

480

Question

Norman started cycling to stay fit.

The table below shows the distance he cycles on his rides.


Bike Ride 1 2 3 4 5
Distance (km) 4 6 10 18 ?


The distance he cycles increases each ride and follows the rule:

Double the last distance and deduct 2.


What is the distance travelled by Norman on his 5th ride?

Worked Solution

Using the rule:
Distance of 5th ride = (18×2) − 2(18 \times 2) \ - \ 2
= 36 −- 2
= 34 km

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Norman started cycling to stay fit. The table below shows the distance he cycles on his rides.
>>| **Bike Ride**| 1|2|3|4|5| |:-:|:-:|:-:|:-:|:-:|:-:| | **Distance (km)** | 4|6|10|18|**?**|

The distance he cycles increases each ride and follows the rule: >> Double the last distance and deduct 2.
What is the distance travelled by Norman on his 5th ride?
workedSolution
Using the rule:
| | | | ------------- | ---------- | | Distance of 5th ride | \= $(18 \times 2) \ - \ 2$ | | | \= 36 $-$ 2 | | | \= {{{correctAnswer}}} |
correctAnswer
34 km

Answers

Is Correct?Answer
x

26 km

x

30 km

✓

34 km

x

36 km

Variant 1

DifficultyLevel

482

Question

Deek runs to stay fit.

The table below shows Deek's longest run each month over a period of 5 months.


Month 1 2 3 4 5
Longest distance (km) 5 6 8 12 ?


Deek's longest run each month follows the rule:

Double the last month's longest run and deduct 4.


What was Deek's longest run in month 5?

Worked Solution

Using the rule:
Longest run in month 5 = (12×2) − 4(12 \times 2) \ - \ 4
= 24 −- 4
= 20 km

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Deek runs to stay fit. The table below shows Deek's longest run each month over a period of 5 months.
>>| **Month**| 1|2|3|4|5| |:-:|:-:|:-:|:-:|:-:|:-:| | **Longest distance (km)** | 5|6|8|12|**?**|

Deek's longest run each month follows the rule: >> Double the last month's longest run and deduct 4.
What was Deek's longest run in month 5?
workedSolution
Using the rule:
| | | | ------------- | ---------- | | Longest run in month 5 | \= $(12 \times 2) \ - \ 4$ | | | \= 24 $-$ 4 | | | \= {{{correctAnswer}}} |
correctAnswer
20 km

Answers

Is Correct?Answer
x

13 km

x

16 km

✓

20 km

x

24 km

Variant 2

DifficultyLevel

484

Question

Susie is training to swim the English channel.

The table below shows Susie's longest swim each month over a period of 5 months.


Month 1 2 3 4 5
Longest swim (km) 2 3 6 15 ?


Susie's longest swim each month follows the rule:

Triple last month's longest swim and deduct 3.


What distance was Susie's longest swim in month 5?

Worked Solution

Using the rule:
Longest swim in month 5 = (15×3) − 3(15 \times 3) \ - \ 3
= 45 −- 3
= 42 km

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Susie is training to swim the English channel. The table below shows Susie's longest swim each month over a period of 5 months.
>>| **Month**| 1|2|3|4|5| |:-:|:-:|:-:|:-:|:-:|:-:| | **Longest swim (km)** | 2|3|6|15|**?**|

Susie's longest swim each month follows the rule: >> Triple last month's longest swim and deduct 3.
What distance was Susie's longest swim in month 5?
workedSolution
Using the rule:
| | | | ------------- | ---------- | | Longest swim in month 5 | \= $(15 \times 3) \ - \ 3$ | | | \= 45 $-$ 3 | | | \= {{{correctAnswer}}} |
correctAnswer
42 km

Answers

Is Correct?Answer
x

24 km

x

27 km

✓

42 km

x

45 km

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