Algebra, NAPX-H2-16

Question

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Worked Solution

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Variant 0

DifficultyLevel

449

Question

Aditi had 78 blocks.

She built identical shapes that were made up of 15 blocks each.

She had 3 blocks left over.

How many shapes did Aditi make?

Worked Solution

Strategy 1

2 shapes = 30 blocks

4 shapes = 60 blocks

5 shapes = 60 + 15 = 75 (3 blocks left)


Strategy 2

78 ÷\div 15 = 5 remainder 3

∴\therefore Aditi made 5 shapes.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Aditi had 78 blocks. She built identical shapes that were made up of 15 blocks each. She had 3 blocks left over. How many shapes did Aditi make?
workedSolution
Strategy 1 2 shapes = 30 blocks 4 shapes = 60 blocks 5 shapes = 60 + 15 = 75 (3 blocks left)
Strategy 2 78 $\div$ 15 = 5 remainder 3 $\therefore$ Aditi made 5 shapes.
correctAnswer
5

Answers

Is Correct?Answer
✓

5

x

8

x

12

x

26

Variant 1

DifficultyLevel

447

Question

Godiva made 83 chocolates.

She placed them in boxes of 7 chocolates.

What is the maximum number of boxes she can fill up?

Worked Solution

Boxes that can be filled
= 83 ÷\div 7
= 11 remainder 6

∴\therefore Godiva can fill up 11 boxes.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Godiva made 83 chocolates. She placed them in boxes of 7 chocolates. What is the maximum number of boxes she can fill up?
workedSolution
sm_nogap Boxes that can be filled
| | | | ------------- | ---------- | | | \= 83 $\div$ 7 | | | \= 11 remainder 6 |

$\therefore$ Godiva can fill up 11 boxes.
correctAnswer
11

Answers

Is Correct?Answer
✓

11

x

12

x

13

x

14

Variant 2

DifficultyLevel

451

Question

Lecretia had 92 sweets for Halloween.

She put them into bags containing 11 sweets each.

She had 4 sweets left over.

How many bags did Lecretia fill?

Worked Solution
Sweets that fit in the full bags = 92 - 4 = 88
Number of bags = 88 ÷\div 11
= 8

∴\therefore Lecretia can fill up 8 bags.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lecretia had 92 sweets for Halloween. She put them into bags containing 11 sweets each. She had 4 sweets left over. How many bags did Lecretia fill?
workedSolution
| | | | -------------: | ---------- | |Sweets that fit in the full bags | \= 92 - 4 = 88 | |Number of bags|= 88 $\div$ 11| | | \= {{{correctAnswer}}} |

$\therefore$ Lecretia can fill up {{{correctAnswer}}} bags.
correctAnswer
8

Answers

Is Correct?Answer
x

7

✓

8

x

9

x

15

Variant 3

DifficultyLevel

453

Question

Danielle had 35 litres of milk.

She poured the milk into bottles, each with a capacity of 4 litres.

She had 3 litres left over.

How many bottles did Danielle fill?

Worked Solution
Milk that fits into the full bottles = 35 - 3 = 32
Number of bottles = 32 ÷\div 4
= 8

∴\therefore Danielle can fill up 8 bottles.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Danielle had 35 litres of milk. She poured the milk into bottles, each with a capacity of 4 litres. She had 3 litres left over. How many bottles did Danielle fill?
workedSolution
| | | | -------------: | ---------- | |Milk that fits into the full bottles | \= 35 - 3 = 32 | |Number of bottles|= 32 $\div$ 4| | | \= {{{correctAnswer}}} |

$\therefore$ Danielle can fill up {{{correctAnswer}}} bottles.
correctAnswer
8

Answers

Is Correct?Answer
x

6

x

7

✓

8

x

11

Variant 4

DifficultyLevel

455

Question

Bonn had 50 guitar strings.

He packaged them in bags, each containing 6 strings.

He had 2 strings left over.

How many bags did Bonn fill?

Worked Solution
Strings that fit into the full bags = 50 - 2 = 48
Number of bags = 48 ÷\div 6
= 8

∴\therefore Bonn can fill up 8 bags.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bonn had 50 guitar strings. He packaged them in bags, each containing 6 strings. He had 2 strings left over. How many bags did Bonn fill?
workedSolution
| | | | -------------: | ---------- | |Strings that fit into the full bags | \= 50 - 2 = 48 | |Number of bags|= 48 $\div$ 6| | | \= {{{correctAnswer}}} |

$\therefore$ Bonn can fill up {{{correctAnswer}}} bags.
correctAnswer
8

Answers

Is Correct?Answer
x

6

✓

8

x

9

x

10

Variant 5

DifficultyLevel

457

Question

Merlin had 57 eggs.

He packed them into cartons, each of which held 6 eggs.

He had 3 eggs left over.

How many cartons did Merlin fill?

Worked Solution
Eggs that fit in the full cartons = 57 - 3 = 54
Number of cartons = 54 ÷\div 6
= 9

∴\therefore Merlin can fill up 9 cartons.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Merlin had 57 eggs. He packed them into cartons, each of which held 6 eggs. He had 3 eggs left over. How many cartons did Merlin fill?
workedSolution
| | | | -------------: | ---------- | |Eggs that fit in the full cartons | \= 57 - 3 = 54 | |Number of cartons|= 54 $\div$ 6| | | \= {{{correctAnswer}}} |

$\therefore$ Merlin can fill up {{{correctAnswer}}} cartons.
correctAnswer
9

Answers

Is Correct?Answer
x

19

x

12

✓

9

x

8

Tags

  • nap_nc
  • staging_suejones