Algebra, NAP_71000

Question

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Worked Solution

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Variant 0

DifficultyLevel

372

Question

What is the first number in this number pattern?

?, 88, 92, 96, 100

Worked Solution

The difference between numbers is:
92 −- 88 = 4
96 −- 92 = 4
100 −- 96 = 4


Therefore, to get to the first number you do the reverse and take away 4.
? = 2nd number −- 4
= 88 −- 4
= 84

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the first number in this number pattern? >> ?, 88, 92, 96, 100
workedSolution
The difference between numbers is:
>>||| |-|-| |92 $-$ 88|= 4| |96 $-$ 92|= 4| |100 $-$ 96|= 4|
Therefore, to get to the first number you do the reverse and take away 4.
>>||| |-|-| |?|= 2nd number $-$ 4| ||= 88 $-$ 4| ||= {{{correctAnswer}}}|
correctAnswer
84

Answers

Is Correct?Answer
x

80

x

82

✓

84

x

86

Variant 1

DifficultyLevel

374

Question

What is the first number in this number pattern?

?, 25, 31, 37, 43

Worked Solution

The difference between numbers is:
31 −- 25 = 6
37 −- 31 = 6
43 −- 37 = 6


Therefore, to get to the first number you do the reverse and take away 6.
? = 2nd number −- 6
= 25 −- 6
= 19

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the first number in this number pattern? >> ?, 25, 31, 37, 43
workedSolution
The difference between numbers is:
>>||| |-|-| |31 $-$ 25|= 6| |37 $-$ 31|= 6| |43 $-$ 37|= 6|
Therefore, to get to the first number you do the reverse and take away 6.
>>||| |-|-| |?|= 2nd number $-$ 6| ||= 25 $-$ 6| ||= {{{correctAnswer}}}|
correctAnswer
19

Answers

Is Correct?Answer
x

14

x

16

x

17

✓

19

Variant 2

DifficultyLevel

376

Question

What is the first number in this number pattern?

?, 60, 52, 44, 36

Worked Solution

The difference between numbers is:
52 −- 60 = −- 8
44 −- 52 = −- 8
36 −- 44 = −- 8


Therefore, to get to the first number you do the reverse and add 8.
? = 2nd number ++ 8
= 60 ++ 8
= 68

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the first number in this number pattern? >> ?, 60, 52, 44, 36
workedSolution
The difference between numbers is:
>>||| |-|-| |52 $-$ 60|= $-$ 8| |44 $-$ 52|= $-$ 8| |36 $-$ 44|= $-$ 8|
Therefore, to get to the first number you do the reverse and add 8.
>>||| |-|-| |?|= 2nd number $+$ 8| ||= 60 $+$ 8| ||= {{{correctAnswer}}}|
correctAnswer
68

Answers

Is Correct?Answer
✓

68

x

66

x

64

x

62

Variant 3

DifficultyLevel

378

Question

What is the first number in this number pattern?

?, 32, 27, 22, 17

Worked Solution

The difference between numbers is:
27 −- 32 = −- 5
22 −- 27 = −- 5
17 −- 22 = −- 5


Therefore, to get to the first number you do the reverse and add 5.
? = 2nd number ++ 5
= 32 ++ 5
= 37

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the first number in this number pattern? >> ?, 32, 27, 22, 17
workedSolution
The difference between numbers is:
>>||| |-|-| |27 $-$ 32|= $-$ 5| |22 $-$ 27|= $-$ 5| |17 $-$ 22|= $-$ 5|
Therefore, to get to the first number you do the reverse and add 5.
>>||| |-|-| |?|= 2nd number $+$ 5| ||= 32 $+$ 5| ||= {{{correctAnswer}}}|
correctAnswer
37

Answers

Is Correct?Answer
x

27

x

30

x

34

✓

37

Variant 4

DifficultyLevel

380

Question

What is the first number in this number pattern?

?, 110, 113, 116, 119

Worked Solution

The difference between numbers is:
113 −- 110 = 3
116 −- 113 = 3
119 −- 116 = 3


Therefore, to get to the first number you do the reverse and take away 3.
? = 2nd number −- 3
= 110 −- 3
= 107

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the first number in this number pattern? >> ?, 110, 113, 116, 119
workedSolution
The difference between numbers is:
>>||| |-|-| |113 $-$ 110|= 3| |116 $-$ 113|= 3| |119 $-$ 116|= 3|
Therefore, to get to the first number you do the reverse and take away 3.
>>||| |-|-| |?|= 2nd number $-$ 3| ||= 110 $-$ 3| ||= {{{correctAnswer}}}|
correctAnswer
107

Answers

Is Correct?Answer
x

112

x

110

✓

107

x

105

Variant 5

DifficultyLevel

380

Question

What is the first number in this number pattern?

?, 250, 220, 190, 160

Worked Solution

The difference between numbers is:
220 −- 250 = −- 30
190 −- 220 = −- 30
160 −- 190 = −- 30


Therefore, to get to the first number you do the reverse and add 30.
? = 2nd number ++ 30
= 250 ++ 30
= 280

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
What is the first number in this number pattern? >> ?, 250, 220, 190, 160
workedSolution
The difference between numbers is:
>>||| |-|-| |220 $-$ 250|= $-$ 30| |190 $-$ 220|= $-$ 30| |160 $-$ 190|= $-$ 30|
Therefore, to get to the first number you do the reverse and add 30.
>>||| |-|-| |?|= 2nd number $+$ 30| ||= 250 $+$ 30| ||= {{{correctAnswer}}}|
correctAnswer
280

Answers

Is Correct?Answer
x

240

x

260

x

270

✓

280

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