Algebra, NAP_30045

Question

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Worked Solution

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Variant 0

DifficultyLevel

373

Question

Didier has placed numbered cards on the table in a pattern as shown below.

When Didier turns the middle card, what number should be on the card?

Worked Solution

The difference between numbers on cards is:
27 −- 21 = 6
45 −- 39 = 6


Therefore the middle card will be:
= 2nd card ++ 6
= 27 ++ 6
= 33

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Didier has placed numbered cards on the table in a pattern as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v0-min.svg 300 indent2 vpad When Didier turns the middle card, what number should be on the card?
workedSolution
The difference between numbers on cards is:
>>||| |-|-| |27 $-$ 21|= 6| |45 $-$ 39|= 6|
Therefore the middle card will be:
>>||| |-|-| ||= 2nd card $+$ 6| ||= 27 $+$ 6| ||= {{{correctAnswer}}}|
correctAnswer
33

Answers

Is Correct?Answer
✓

33

x

34

x

36

x

37

Variant 1

DifficultyLevel

375

Question

Gamora has placed numbered cards on the table in a pattern as shown below.

When Gamora turns the middle card, what number should be on the card?

Worked Solution

The difference between numbers on cards is:
78 −- 81 = −- 3
69 −- 72 = −- 3


Therefore the middle card will be:
= 2nd card −- 3
= 78 −- 3
= 75

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Gamora has placed numbered cards on the table in a pattern as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v1-min.svg 300 indent2 vpad When Gamora turns the middle card, what number should be on the card?
workedSolution
The difference between numbers on cards is:
>>||| |-|-| |78 $-$ 81|= $-$ 3| |69 $-$ 72|= $-$ 3|
Therefore the middle card will be:
>>||| |-|-| ||= 2nd card $-$ 3| ||= 78 $-$ 3| ||= {{{correctAnswer}}}|
correctAnswer
75

Answers

Is Correct?Answer
x

71

✓

75

x

76

x

84

Variant 2

DifficultyLevel

377

Question

Thor has placed numbered cards on the table in a pattern as shown below.

When Thor turns the middle card, what number should be on the card?

Worked Solution

The difference between numbers is:
32 −- 21 = 11
65 −- 54 = 11


Therefore the middle card will be:
= 2nd card ++ 11
= 32 ++ 11
= 43

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Thor has placed numbered cards on the table in a pattern as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v2-min.svg 300 indent2 vpad When Thor turns the middle card, what number should be on the card?
workedSolution
The difference between numbers is:
>>||| |-|-| |32 $-$ 21|= 11| |65 $-$ 54|= 11|
Therefore the middle card will be:
>>||| |-|-| ||= 2nd card $+$ 11| ||= 32 $+$ 11| ||= {{{correctAnswer}}}|
correctAnswer
43

Answers

Is Correct?Answer
x

38

x

41

✓

43

x

53

Variant 3

DifficultyLevel

379

Question

Jansen has placed numbered cards on the table in a pattern as shown below.

When Jansen turns the middle card, what number should be on the card?

Worked Solution

The difference between numbers is:
52 −- 56 = −- 4
40 −- 44 = −- 4


Therefore the middle card will be:
= 2nd card −- 4
= 52 −- 4
= 48

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jansen has placed numbered cards on the table in a pattern as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v3b-min.svg 300 indent2 vpad When Jansen turns the middle card, what number should be on the card?
workedSolution
The difference between numbers is:
>>||| |-|-| |52 $-$ 56|= $-$ 4| |40 $-$ 44|= $-$ 4|
Therefore the middle card will be:
>>||| |-|-| ||= 2nd card $-$ 4| ||= 52 $-$ 4| ||= {{{correctAnswer}}}|
correctAnswer
48

Answers

Is Correct?Answer
x

40

x

42

x

46

✓

48

Variant 4

DifficultyLevel

381

Question

Loz has placed numbered cards on the table in a pattern as shown below.

When Loz turns the middle card, what number should be on the card?

Worked Solution

The difference between numbers is:
25 −- 19 = 6
43 −- 37 = 6


Therefore the middle card will be:
= 2nd card ++ 6
= 25 ++ 6
= 31

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Loz has placed numbered cards on the table in a pattern as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v4-min.svg 300 indent2 vpad When Loz turns the middle card, what number should be on the card?
workedSolution
The difference between numbers is:
>>||| |-|-| |25 $-$ 19|= 6| |43 $-$ 37|= 6|
Therefore the middle card will be:
>>||| |-|-| ||= 2nd card $+$ 6| ||= 25 $+$ 6| ||= {{{correctAnswer}}}|
correctAnswer
31

Answers

Is Correct?Answer
x

30

✓

31

x

32

x

35

Variant 5

DifficultyLevel

383

Question

Patrick has placed numbered cards on the table in a pattern as shown below.

When Patrick turns the middle card, what number should be on the card?

Worked Solution

The difference between numbers is:
72 −- 65 = 7
93 −- 86 = 7


Therefore the middle card will be:
= 2nd card ++ 7
= 72 ++ 7
= 79

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Patrick has placed numbered cards on the table in a pattern as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v5-min.svg 300 indent2 vpad When Patrick turns the middle card, what number should be on the card?
workedSolution
The difference between numbers is:
>>||| |-|-| |72 $-$ 65|= 7| |93 $-$ 86|= 7|
Therefore the middle card will be:
>>||| |-|-| ||= 2nd card $+$ 7| ||= 72 $+$ 7| ||= {{{correctAnswer}}}|
correctAnswer
79

Answers

Is Correct?Answer
x

85

x

82

✓

79

x

75

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