Algebra, NAP_10060

Question

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Worked Solution

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Variant 0

DifficultyLevel

361

Question

What is the rule you would use to find the next number in this number pattern?

87, 91, 95, 99, ?

Worked Solution

The difference between numbers is:
91 −- 87 = 4
95 −- 91 = 4
90 −- 95 = 4


Therefore to get to the next number add 4.
? = last number ++ 4 = 103
Rule = increase by 4

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the rule you would use to find the next number in this number pattern? >> 87, 91, 95, 99, ?
workedSolution
The difference between numbers is:
>>||| |-|-| |91 $-$ 87|= 4| |95 $-$ 91|= 4| |90 $-$ 95|= 4|
Therefore to get to the next number add 4.
>>||| |-|-| |?|= last number $+$ 4 = 103| |Rule|= {{{correctAnswer}}}|
correctAnswer
increase by 4

Answers

Is Correct?Answer
x

decrease by 5

x

decrease by 4

✓

increase by 4

x

increase by 5

Variant 1

DifficultyLevel

363

Question

What is the rule you would use to find the next number in this number pattern?

102, 96, 90, 84, ?

Worked Solution

The difference between numbers is:
96 −- 102 = −- 6
90 −- 96 = −- 6
84 −- 90 = −- 6


Therefore to get to the next number takeaway 6.
? = last number −- 6 = 78
Rule = decrease by 6

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the rule you would use to find the next number in this number pattern? >> 102, 96, 90, 84, ?
workedSolution
The difference between numbers is:
>>||| |-|-| |96 $-$ 102|= $-$ 6| |90 $-$ 96|= $-$ 6| |84 $-$ 90|= $-$ 6|
Therefore to get to the next number takeaway 6.
>>||| |-|-| |?|= last number $-$ 6 = 78| |Rule|= {{{correctAnswer}}}|
correctAnswer
decrease by 6

Answers

Is Correct?Answer
x

increase by 4

x

increase by 6

x

decrease by 4

✓

decrease by 6

Variant 2

DifficultyLevel

365

Question

What is the rule you would use to find the next number in this number pattern?

34, 46, 58, 70, ?

Worked Solution

The difference between numbers is:
46 −- 34 = 12
58 −- 46 = 12
70 −- 58 = 12


Therefore to get to the next number add 12.
? = last number ++ 12 = 82
Rule = increase by 12

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the rule you would use to find the next number in this number pattern? >> 34, 46, 58, 70, ?
workedSolution
The difference between numbers is:
>>||| |-|-| |46 $-$ 34|= 12| |58 $-$ 46|= 12| |70 $-$ 58|= 12|
Therefore to get to the next number add 12.
>>||| |-|-| |?|= last number $+$ 12 = 82| |Rule|= {{{correctAnswer}}}|
correctAnswer
increase by 12

Answers

Is Correct?Answer
x

increase by 8

✓

increase by 12

x

decrease by 8

x

decrease by 12

Variant 3

DifficultyLevel

367

Question

What is the rule you would use to find the next number in this number pattern?

71, 68, 65, 62, ?

Worked Solution

The difference between numbers is:
68 −- 71 = −- 3
65 −- 68 = −- 3
62 −- 65 = −- 3


Therefore to get to the next number take away 3.
? = last number −- 3 = 59
Rule = decrease by 3

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the rule you would use to find the next number in this number pattern? >> 71, 68, 65, 62, ?
workedSolution
The difference between numbers is:
>>||| |-|-| |68 $-$ 71|= $-$ 3| |65 $-$ 68|= $-$ 3| |62 $-$ 65|= $-$ 3|
Therefore to get to the next number take away 3.
>>||| |-|-| |?|= last number $-$ 3 = 59| |Rule|= {{{correctAnswer}}}|
correctAnswer
decrease by 3

Answers

Is Correct?Answer
✓

decrease by 3

x

decrease by 4

x

increase by 3

x

increase by 4

Variant 4

DifficultyLevel

369

Question

What is the rule you would use to find the next number in this number pattern?

135, 142, 149, 156, ?

Worked Solution

The difference between numbers is:
142 −- 135 = 7
149 −- 142 = 7
156 −- 149 = 7


Therefore to get to the next number add 7.
? = last number ++ 7 = 163
Rule = increase by 7

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the rule you would use to find the next number in this number pattern? >> 135, 142, 149, 156, ?
workedSolution
The difference between numbers is:
>>||| |-|-| |142 $-$ 135|= 7| |149 $-$ 142|= 7| |156 $-$ 149|= 7|
Therefore to get to the next number add 7.
>>||| |-|-| |?|= last number $+$ 7 = 163| |Rule|= {{{correctAnswer}}}|
correctAnswer
increase by 7

Answers

Is Correct?Answer
✓

increase by 7

x

increase by 3

x

decrease by 7

x

decrease by 3

Variant 5

DifficultyLevel

371

Question

What is the rule you would use to find the next number in this number pattern?

118, 109, 100, 91, ?

Worked Solution

The difference between numbers is:
109 −- 118 = −- 9
100 −- 109 = −- 9
91 −- 100 = −- 9


Therefore to get to the next number take away 9.
? = last number −- 9 = 82
Rule = decrease by 9

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the rule you would use to find the next number in this number pattern? >> 118, 109, 100, 91, ?
workedSolution
The difference between numbers is:
>>||| |-:|-| |109 $-$ 118|= $-$ 9| |100 $-$ 109|= $-$ 9| |91 $-$ 100|= $-$ 9|
Therefore to get to the next number take away 9.
>>||| |-|-| |?|= last number $-$ 9 = 82| |Rule|= {{{correctAnswer}}}|
correctAnswer
decrease by 9

Answers

Is Correct?Answer
x

increase by 7

x

increase by 9

x

decrease by 7

✓

decrease by 9

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