Algebra, NAP_80077

Question

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Worked Solution

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Variant 0

DifficultyLevel

576

Question

Mia writes the sequence:

40,0.4,0.004,0.00004,…40,0.4,0.004,0.00004, …


Describe the rule she uses to write the next number in this sequence.

Worked Solution
40 ÷ 100 = 0.4
0.4 ÷ 100 = 0.004
0.004 ÷ 100 = 0.00004

∴\therefore Rule: Divide by 100

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Mia writes the sequence: >>$40,0.4,0.004,0.00004, …$
Describe the rule she uses to write the next number in this sequence.
workedSolution
| | | | ------------: | ---------- | | 40 ÷ 100 | \= 0.4 | | 0.4 ÷ 100 | \= 0.004 | | 0.004 ÷ 100 | \= 0.00004 |

$\therefore$ Rule: {{{correctAnswer}}}
correctAnswer
Divide by 100

Answers

Is Correct?Answer
x

Divide by 10

✓

Divide by 100

x

Divide by 0.1

x

Multiply by 10

x

Multiply by 100

x

Multiply by 0.1

Variant 1

DifficultyLevel

578

Question

Thomas writes the sequence:

18,1.8,0.18,0.018,…18,1.8,0.18,0.018, …


Describe the rule he uses to write the next number in this sequence.

Worked Solution
18 ÷ 10 = 1.8
1.8 ÷ 10 = 0.18
0.18 ÷ 10 = 0.018

∴\therefore Rule: Divide by 10

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Thomas writes the sequence: >>$18,1.8,0.18,0.018, …$
Describe the rule he uses to write the next number in this sequence.
workedSolution
| | | | ------------: | ---------- | | 18 ÷ 10 | \= 1.8 | | 1.8 ÷ 10 | \= 0.18 | | 0.18 ÷ 10 | \= 0.018 |

$\therefore$ Rule: {{{correctAnswer}}}
correctAnswer
Divide by 10

Answers

Is Correct?Answer
x

Multiply by 0.01

x

Multiply by 10

x

Multiply by 100

x

Divide by 0.1

x

Divide by 0.01

✓

Divide by 10

Variant 2

DifficultyLevel

581

Question

Happy writes the sequence:

0.0024,0.024,0.24,2.4,…0.0024,0.024,0.24,2.4, …


Describe the rule he uses to write the next number in this sequence.

Worked Solution
0.0024 ×\times 10 = 0.024
0.024 ×\times 10 = 0.24
0.24 ×\times 10 = 2.4

∴\therefore Rule: Multiply by 10

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Happy writes the sequence: >>$0.0024,0.024,0.24,2.4, …$
Describe the rule he uses to write the next number in this sequence.
workedSolution
| | | | ------------: | ---------- | | 0.0024 $\times$ 10 | \= 0.024 | | 0.024 $\times$ 10 | \= 0.24 | | 0.24 $\times$ 10 | \= 2.4 |

$\therefore$ Rule: {{{correctAnswer}}}
correctAnswer
Multiply by 10

Answers

Is Correct?Answer
x

Divide by 0.1

x

Divide by 0.01

x

Divide by 10

x

Multiply by 0.01

✓

Multiply by 10

x

Multiply by 100

Variant 3

DifficultyLevel

583

Question

Jacques writes the sequence:

890,8.9,0.089,0.00089,…890,8.9,0.089,0.00089, …


Describe the rule he uses to write the next number in this sequence.

Worked Solution
890 ÷ 100 = 8.9
8.9 ÷ 100 = 0.089
0.089 ÷ 100 = 0.00089

∴\therefore Rule: Divide by 100

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jacques writes the sequence: >>$890,8.9,0.089,0.00089, …$
Describe the rule he uses to write the next number in this sequence.
workedSolution
| | | | ------------: | ---------- | | 890 ÷ 100 | \= 8.9 | | 8.9 ÷ 100 | \= 0.089 | | 0.089 ÷ 100 | \= 0.00089 |

$\therefore$ Rule: {{{correctAnswer}}}
correctAnswer
Divide by 100

Answers

Is Correct?Answer
x

Multiply by 10

x

Multiply by 0.1

x

Multiply by 100

✓

Divide by 100

x

Divide by 10

x

Divide by 0.1

Variant 4

DifficultyLevel

585

Question

Bernard writes the sequence:

0.00202,0.0202,0.202,2.02,…0.00202,0.0202,0.202,2.02, …


Describe the rule he uses to write the next number in this sequence.

Worked Solution
0.00202 ×\times 10 = 0.0202
0.0202 ×\times 10 = 0.202
0.202 ×\times 10 = 2.02

∴\therefore Rule: Multiply by 10

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bernard writes the sequence: >>$0.00202,0.0202,0.202,2.02, …$
Describe the rule he uses to write the next number in this sequence.
workedSolution
| | | | ------------: | ---------- | | 0.00202 $\times$ 10 | \= 0.0202 | | 0.0202 $\times$ 10 | \= 0.202 | | 0.202 $\times$ 10 | \= 2.02 |

$\therefore$ Rule: {{{correctAnswer}}}
correctAnswer
Multiply by 10

Answers

Is Correct?Answer
✓

Multiply by 10

x

Multiply by 0.1

x

Multiply by 0.01

x

Divide by 10

x

Divide by 100

x

Divide by 0.01

Variant 5

DifficultyLevel

587

Question

Heathcliff writes the sequence:

1.01,0.101,0.0101,0.00101,…1.01,0.101,0.0101,0.00101, …


Describe the rule he uses to write the next number in this sequence.

Worked Solution
1.01 ÷ 10 = 0.101
0.101÷ 10 = 0.0101
0.0101 ÷ 10 = 0.00101

∴\therefore Rule: Divide by 10 = Multiply by 110\frac{1}{10} = Multiply by 0.1

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Heathcliff writes the sequence: >>$1.01,0.101,0.0101,0.00101, …$
Describe the rule he uses to write the next number in this sequence.
workedSolution
| | | | ------------: | ---------- | | 1.01 ÷ 10 | \= 0.101 | | 0.101÷ 10 | \= 0.0101 | | 0.0101 ÷ 10 | \= 0.00101 |

$\therefore$ Rule: Divide by 10 = Multiply by $\frac{1}{10}$ = {{{correctAnswer}}}
correctAnswer
Multiply by 0.1

Answers

Is Correct?Answer
x

Divide by 100

x

Divide by 0.1

x

Divide by 0.01

✓

Multiply by 0.1

x

Multiply by 0.01

x

Multiply by 100

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