Algebra, NAP_18018

Question

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Worked Solution

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Variant 0

DifficultyLevel

613

Question

Ignatius used this rule to make a number pattern.

  • Start with 1.

  • To get the next number, multiply by 2 then add 3.


The first four numbers in his pattern were 1 , 5 , 13 , 29.

What was the sixth number in Ignatius' pattern?

Worked Solution

Fifth number

29 × 2 + 3 = 58 + 3 = 61


Sixth number

61 × 2 + 3 = 122 + 3 = 125

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ignatius used this rule to make a number pattern. * Start with 1. * To get the next number, multiply by 2 then add 3.
The first four numbers in his pattern were 1 , 5 , 13 , 29. What was the sixth number in Ignatius' pattern?
workedSolution
Fifth number >29 × 2 + 3 = 58 + 3 = 61
Sixth number >61 × 2 + 3 = 122 + 3 = {{{correctAnswer}}}
correctAnswer
125

Answers

Is Correct?Answer
x

34

x

42

x

61

✓

125

Variant 1

DifficultyLevel

615

Question

Mo used this rule to make a number pattern.

  • Start with −- 2.

  • To get the next number, add 3 then multiply the answer by 2.


The first four numbers in her pattern were −- 2 , 2 , 10 , 26 .

What was the sixth number in Mo's pattern?

Worked Solution

Fifth number

(26 + 3) × 2 = 29 × 2 = 58


Sixth number

(58 + 3) × 2 = 61 × 2 = 122

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Mo used this rule to make a number pattern. * Start with $-$ 2. * To get the next number, add 3 then multiply the answer by 2.
The first four numbers in her pattern were $-$ 2 , 2 , 10 , 26 . What was the sixth number in Mo's pattern?
workedSolution
Fifth number >(26 + 3) × 2 = 29 × 2 = 58
Sixth number >(58 + 3) × 2 = 61 × 2 = {{{correctAnswer}}}
correctAnswer
122

Answers

Is Correct?Answer
x

32

x

55

✓

122

x

174

Variant 2

DifficultyLevel

617

Question

Brock used this rule to make a number pattern.

  • Start with 6.

  • To get the next number, multiply by 2 then subtract 5.


The first four numbers in his pattern were 6 , 7 , 9 , 13 .

What was the sixth number in Brock's pattern?

Worked Solution

Fifth number

13 × 2 −- 5 = 26 −- 5 = 21


Sixth number

21 × 2 −- 5 = 42 −- 5 = 37

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Brock used this rule to make a number pattern. * Start with 6. * To get the next number, multiply by 2 then subtract 5.
The first four numbers in his pattern were 6 , 7 , 9 , 13 . What was the sixth number in Brock's pattern?
workedSolution
Fifth number >13 × 2 $-$ 5 = 26 $-$ 5 = 21
Sixth number >21 × 2 $-$ 5 = 42 $-$ 5 = {{{correctAnswer}}}
correctAnswer
37

Answers

Is Correct?Answer
x

26

✓

37

x

52

x

57

Variant 3

DifficultyLevel

619

Question

Jeddah used this rule to make a number pattern.

  • Start with −- 2.

  • To get the next number, multiply by 2 then add 4.


The first four numbers in her pattern were −- 2 , 0 , 4 , 12 .

What was the sixth number in Jeddah's pattern?

Worked Solution

Fifth number

12 × 2 + 4 = 24 + 4 = 28


Sixth number

28 × 2 + 4 = 56 + 4 = 60

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jeddah used this rule to make a number pattern. * Start with $-$ 2. * To get the next number, multiply by 2 then add 4.
The first four numbers in her pattern were $-$ 2 , 0 , 4 , 12 . What was the sixth number in Jeddah's pattern?
workedSolution
Fifth number >12 × 2 + 4 = 24 + 4 = 28
Sixth number >28 × 2 + 4 = 56 + 4 = {{{correctAnswer}}}
correctAnswer
60

Answers

Is Correct?Answer
✓

60

x

56

x

28

x

32

Variant 4

DifficultyLevel

621

Question

Ted used this rule to make a number pattern.

  • Start with −- 5.

  • To get the next number, multiply by 2 then add 6.


The first four numbers in his pattern were −- 5 , −- 4 , −- 2 , 2 .

What was the sixth number in Ted's pattern?

Worked Solution

Fifth number

2 × 2 + 6 = 2 + 6 = 10


Sixth number

10 × 2 + 6 = 20 + 6 = 26

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ted used this rule to make a number pattern. * Start with $-$ 5. * To get the next number, multiply by 2 then add 6.
The first four numbers in his pattern were $-$ 5 , $-$ 4 , $-$ 2 , 2 . What was the sixth number in Ted's pattern?
workedSolution
Fifth number >2 × 2 + 6 = 2 + 6 = 10
Sixth number >10 × 2 + 6 = 20 + 6 = {{{correctAnswer}}}
correctAnswer
26

Answers

Is Correct?Answer
x

10

x

16

✓

26

x

44

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