Number, NAP_10091

Question

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Worked Solution

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Variant 0

DifficultyLevel

485

Question

Hughes has 71 match sticks.

He uses 6 match sticks to make two small triangles.



What is the largest number of small triangles, like this, that Hughes can make with his 71 match sticks?

Worked Solution

3 match sticks are used for 1 triangle.
Number of triangles = 71 ÷\div 3
= 23 remainder 2

∴\therefore 23 triangles (round down). 4 match sticks are used for 1 square.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Hughes has 71 match sticks. He uses 6 match sticks to make two small triangles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-28-v1.svg 300 indent vpad
What is the largest number of small triangles, like this, that Hughes can make with his 71 match sticks?
workedSolution
3 match sticks are used for 1 triangle.
| | | | ------------- | ---------- | | Number of triangles | \= 71 $\div$ 3 | | | \= {{{correctAnswer}}} remainder 2 |

$\therefore$ {{{correctAnswer}}} triangles (round down). 4 match sticks are used for 1 square.
correctAnswer
23

Answers

Is Correct?Answer
x

11

x

12

✓

23

x

24

Variant 1

DifficultyLevel

483

Question

Anita has 57 match sticks.

She uses 8 match sticks to make two small squares.



What is the largest number of small squares, like this, that Anita can make with her 57 match sticks?

Worked Solution
Number of squares = 57 ÷\div 4
= 14 remainder 1

∴\therefore 14 squares (round down).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Anita has 57 match sticks. She uses 8 match sticks to make two small squares.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/match-2x2-min.svg 300 indent vpad
What is the largest number of small squares, like this, that Anita can make with her 57 match sticks?
workedSolution
| | | | ------------- | ---------- | | Number of squares | \= 57 $\div$ 4 | | | \= {{{correctAnswer}}} remainder 1 |

$\therefore$ {{{correctAnswer}}} squares (round down).
correctAnswer
14

Answers

Is Correct?Answer
x

15

✓

14

x

8

x

7

Variant 2

DifficultyLevel

481

Question

Brutus has 81 match sticks.

He uses 12 match sticks to make two small fish shapes.



What is the largest number of small fish shapes, like this, that Brutus can make with his 81 match sticks?

Worked Solution
Number of small fish = 81 ÷\div 6
= 13 remainder 3

∴\therefore 13 small fish (round down).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Brutus has 81 match sticks. He uses 12 match sticks to make two small fish shapes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/fish-2x2-min.svg 180 indent2 vpad
What is the largest number of small fish shapes, like this, that Brutus can make with his 81 match sticks?
workedSolution
| | | | ------------- | ---------- | | Number of small fish | \= 81 $\div$ 6 | | | \= {{{correctAnswer}}} remainder 3 |

$\therefore$ {{{correctAnswer}}} small fish (round down).
correctAnswer
13

Answers

Is Correct?Answer
x

6

x

12

✓

13

x

14

Variant 3

DifficultyLevel

487

Question

Burgess has 94 match sticks.

He uses 16 match sticks to make these two daisy shapes.



What is the largest number of daisy shapes, like this, that Burgess can make with his 94 match sticks?

Worked Solution
Number of daisies = 94 ÷\div 8
= 11 remainder 6

∴\therefore 11 daisies (round down).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Burgess has 94 match sticks. He uses 16 match sticks to make these two daisy shapes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/match-2x8-min.svg 300 indent vpad
What is the largest number of daisy shapes, like this, that Burgess can make with his 94 match sticks?
workedSolution
| | | | ------------- | ---------- | | Number of daisies | \= 94 $\div$ 8 | | | \= {{{correctAnswer}}} remainder 6 |

$\therefore$ {{{correctAnswer}}} daisies (round down).
correctAnswer
11

Answers

Is Correct?Answer
x

5

x

6

✓

11

x

12

Variant 4

DifficultyLevel

489

Question

Bianca has 75 match sticks.

She uses 8 match sticks to make these two crosses.



What is the largest number of crosses, like this, that Bianca can make with her 75 match sticks?

Worked Solution
Number of crosses = 75 ÷\div 4
= 18 remainder 3

∴\therefore 18 crosses (round down).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bianca has 75 match sticks. She uses 8 match sticks to make these two crosses.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/match-2x4-cross-min.svg 300 indent vpad
What is the largest number of crosses, like this, that Bianca can make with her 75 match sticks?
workedSolution
| | | | ------------- | ---------- | | Number of crosses| \= 75 $\div$ 4 | | | \= {{{correctAnswer}}} remainder 3 |

$\therefore$ {{{correctAnswer}}} crosses (round down).
correctAnswer
18

Answers

Is Correct?Answer
x

19

✓

18

x

10

x

9

Variant 5

DifficultyLevel

491

Question

Beau has 85 match sticks.

He uses 14 match sticks to make these two shapes.



What is the largest number of shapes, like this, that Beau can make with his 85 match sticks?

Worked Solution
Number of shapes = 85 ÷\div 7
= 12 remainder 1

∴\therefore 12 shapes (round down).

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Beau has 85 match sticks. He uses 14 match sticks to make these two shapes.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/match-2x7-min.svg 300 indent vpad
What is the largest number of shapes, like this, that Beau can make with his 85 match sticks?
workedSolution
| | | | ------------- | ---------- | | Number of shapes | \= 85 $\div$ 7 | | | \= {{{correctAnswer}}} remainder 1 |

$\therefore$ {{{correctAnswer}}} shapes (round down).
correctAnswer
12

Answers

Is Correct?Answer
x

7

x

8

x

10

✓

12

Tags

  • staging_suejones
  • nap_nc