Dart combinations

Dart combinations

Pencil and paper
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This task is about finding all possible combinations.

darts and dartboard

In a game of darts, a total score is found by adding the scores of each dart together, e.g., 2 + 4 + 6 + 6 = 18.
 
a)
What is the lowest possible total score if three darts hit the target? __________
 
b)
If the total score from the three darts that hit the target was 16, what is the score of each dart?
 
___________          ___________          ___________
 
c)

 
Which of the following total scores are possible if all 4 darts hit the target?
Circle the four possible scores.

6          10          14          18          22          26
 
Task administration: 
This task can be completed with pencil and paper only.
Level:
3
Curriculum info: 
Description of task: 
Students identify possible combinations of scores from a dart thrown at a target. They also find the lowest possible score and individual throws from a given total score.
Curriculum Links: 
This resource can be used to help to identify students' understanding of listing possible outcomes.
 
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y7 (07/1996)

a)

6

easy

b)

6, 6, 4 (any order)

moderate

c)

10, 14, 18, 22 circled and

6 and 26 not circled

very difficult

Teaching and learning: