Number_gap-2026_677

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

676

Question

Luca made an error when solving a maths problem.

The correct method required him to add 4 to a number and then multiply the result by 5. Instead, Luca divided the number by 4 and added 5 to get an answer of 8.

What is the correct answer?

Worked Solution

Finding the starting number:
Luca's wrong answer = 8
Reverse add 5 →\rightarrow subtract 5 = 8 − 5 = 3
Reverse divide by 4 →\rightarrow multiply by 4 = 3 ×\times 4 = 12

Applying the correct operations:
Starting number = 12
Add 4 = 12 + 4 = 16
Multiply by 5 = 16 ×\times 5 = 80
∴\therefore Correct Answer = 80

Question Type

Answer Box

Variables

Variable nameVariable value
question
Luca made an error when solving a maths problem. The correct method required him to add 4 to a number and then multiply the result by 5. Instead, Luca divided the number by 4 and added 5 to get an answer of 8. What is the correct answer?
workedSolution
Finding the starting number:
| | |--------| | Luca's wrong answer \= 8 | | Reverse add 5 $\rightarrow$ subtract 5 \= 8 − 5 = 3 | | Reverse divide by 4 $\rightarrow$ multiply by 4 \= 3 $\times$ 4 = 12 |

Applying the correct operations:
| | | ------------------------| | Starting number \= 12 | | Add 4 \= 12 + 4 = 16 | | Multiply by 5 \= 16 $\times$ 5 = 80 | | $\therefore$ Correct Answer \= {{{correctAnswer0}}} |
correctAnswer0
80
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer080

Variant 1

DifficultyLevel

677

Question

Zara made an error when solving a maths problem.

The correct method required her to subtract 8 from a number and then multiply the result by 3. Instead, Zara multiplied the number by 3 and subtracted 8 to get an answer of 22.

What is the correct answer?

Worked Solution

Finding the starting number:
Zara's wrong answer = 22
Reverse subtract 8 →\rightarrow add 8 = 22 + 8 = 30
Reverse multiply by 3 →\rightarrow divide by 3 = 30 ÷\div 3 = 10

Applying the correct operations:
Starting number = 10
Subtract 8 = 10 − 8 = 2
Multiply by 3 = 2 ×\times 3 = 6
∴\therefore Correct Answer = 6

Question Type

Answer Box

Variables

Variable nameVariable value
question
Zara made an error when solving a maths problem. The correct method required her to subtract 8 from a number and then multiply the result by 3. Instead, Zara multiplied the number by 3 and subtracted 8 to get an answer of 22. What is the correct answer?
workedSolution
Finding the starting number:
| | | - | | Zara's wrong answer = 22 | | Reverse subtract 8 $\rightarrow$ add 8 = 22 + 8 = 30 | | Reverse multiply by 3 $\rightarrow$ divide by 3 = 30 $\div$ 3 = 10 |

Applying the correct operations:
| | | - | | Starting number = 10 | | Subtract 8 = 10 − 8 = 2 | | Multiply by 3 = 2 $\times$ 3 = 6 | | $\therefore$ Correct Answer = {{{correctAnswer0}}} |
correctAnswer0
6
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer06

Variant 2

DifficultyLevel

678

Question

Benji made an error when solving a maths problem.

The correct method required him to divide a number by 6 and then add 24. Instead, Benji added 24 to the number and then divided by 6 to get an answer of 9.

What is the correct answer?

Worked Solution

Finding the starting number:
Benji's wrong answer = 9
Reverse divide by 6 →\rightarrow multiply by 6 = 9 ×\times 6 = 54
Reverse add 24 →\rightarrow subtract 24 = 54 − 24 = 30

Applying the correct operations:
Starting number = 30
Divide by 6 = 30 ÷\div 6 = 5
Add 24 = 5 + 24 = 29
∴\therefore Correct Answer = 29

Question Type

Answer Box

Variables

Variable nameVariable value
question
Benji made an error when solving a maths problem. The correct method required him to divide a number by 6 and then add 24. Instead, Benji added 24 to the number and then divided by 6 to get an answer of 9. What is the correct answer?
workedSolution
Finding the starting number:
| | | - | | Benji's wrong answer = 9 | | Reverse divide by 6 $\rightarrow$ multiply by 6 = 9 $\times$ 6 = 54 | | Reverse add 24 $\rightarrow$ subtract 24 = 54 − 24 = 30 |

Applying the correct operations:
| | | - | | Starting number = 30 | | Divide by 6 = 30 $\div$ 6 = 5 | | Add 24 = 5 + 24 = 29 | | $\therefore$ Correct Answer = {{{correctAnswer0}}} |
correctAnswer0
29
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer029

Variant 3

DifficultyLevel

679

Question

Isla made an error when solving a maths problem.

The correct method required her to add 12 to a number and then multiply the result by 5. Instead, Isla multiplied the number by 5 and then added 12 to get an answer of 37.

What is the correct answer?

Worked Solution

Finding the starting number:
Isla's wrong answer = 37
Reverse add 12 →\rightarrow subtract 12 = 37 − 12 = 25
Reverse multiply by 5 →\rightarrow divide by 5 = 25 ÷\div 5 = 5

Applying the correct operations:
Starting number = 5
Add 12 = 5 + 12 = 17
Multiply by 5 = 17 ×\times 5 = 85
∴\therefore Correct Answer = 85

Question Type

Answer Box

Variables

Variable nameVariable value
question
Isla made an error when solving a maths problem. The correct method required her to add 12 to a number and then multiply the result by 5. Instead, Isla multiplied the number by 5 and then added 12 to get an answer of 37. What is the correct answer?
workedSolution
Finding the starting number:
| | | - | | Isla's wrong answer = 37 | | Reverse add 12 $\rightarrow$ subtract 12 = 37 − 12 = 25 | | Reverse multiply by 5 $\rightarrow$ divide by 5 = 25 $\div$ 5 = 5 |

Applying the correct operations:
| | | - | | Starting number = 5 | | Add 12 = 5 + 12 = 17 | | Multiply by 5 = 17 $\times$ 5 = 85 | | $\therefore$ Correct Answer = {{{correctAnswer0}}} |
correctAnswer0
85
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer085

Variant 4

DifficultyLevel

680

Question

Theo made an error when solving a maths problem.

The correct method required him to subtract 8 from a number and then divide the result by 3. Instead, Theo divided the number by 8 and then subtracted 3 to get an answer of 4.

What is the correct answer?

Worked Solution

Finding the starting number:
Theo's wrong answer = 4
Reverse subtract 3 →\rightarrow add 3 = 4 + 3 = 7
Reverse divide by 8 →\rightarrow multiply by 8 = 7 ×\times 8 = 56

Applying the correct operations:
Starting number = 56
Subtract 8 = 56 − 8 = 48
Divide by 3 = 48 ÷\div 3 = 16
∴\therefore Correct Answer = 16

Question Type

Answer Box

Variables

Variable nameVariable value
question
Theo made an error when solving a maths problem. The correct method required him to subtract 8 from a number and then divide the result by 3. Instead, Theo divided the number by 8 and then subtracted 3 to get an answer of 4. What is the correct answer?
workedSolution
Finding the starting number:
| | | - | | Theo's wrong answer = 4 | | Reverse subtract 3 $\rightarrow$ add 3 = 4 + 3 = 7 | | Reverse divide by 8 $\rightarrow$ multiply by 8 = 7 $\times$ 8 = 56 |

Applying the correct operations:
| | | - | | Starting number = 56 | | Subtract 8 = 56 − 8 = 48 | | Divide by 3 = 48 $\div$ 3 = 16 | | $\therefore$ Correct Answer = {{{correctAnswer0}}} |
correctAnswer0
16
prefix0
suffix0

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer016

Tags

  • staging_suejones