Algebra, NAPX-p167449v02

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

547

Question

Jason creates the following figures using toothpicks.



How many toothpicks will figure 9 have?

Worked Solution

Each succeeding figure adds 5 extra toothpicks.

Figure 4: 21 toothpicks

Figure 5: 26 toothpicks

Figure 6: 31 toothpicks

Figure 7: 36 toothpicks

Figure 8: 41 toothpicks

∴\therefore Figure 9 will have 46 toothpicks

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jason creates the following figures using toothpicks.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH9-18.svg 580 indent vpad
How many toothpicks will figure 9 have?
workedSolution
Each succeeding figure adds 5 extra toothpicks. Figure 4: 21 toothpicks Figure 5: 26 toothpicks Figure 6: 31 toothpicks Figure 7: 36 toothpicks Figure 8: 41 toothpicks $\therefore$ Figure 9 will have 46 toothpicks
correctAnswer
46

Answers

Is Correct?Answer
x

36

x

38

x

41

✓

46

Variant 1

DifficultyLevel

502

Question

Andrew produced a pattern of small stars and diamonds.



If this pattern continues how many diamonds will the 9th figure contain?

Worked Solution

Each succeeding figure adds 2 diamonds

Number of diamonds

Figure 4 = 7 diamonds

Figure 5 = 9 diamonds

Figure 8 = 15 diamonds

∴\therefore Figure 9 contains 17 diamonds.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Andrew produced a pattern of small stars and diamonds.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH9-22.svg 580 indent vpad
If this pattern continues how many diamonds will the 9th figure contain?
workedSolution
Each succeeding figure adds 2 diamonds Number of diamonds Figure 4 = 7 diamonds Figure 5 = 9 diamonds Figure 8 = 15 diamonds $\therefore$ Figure 9 contains {{{correctAnswer}}} diamonds.
correctAnswer
17

Answers

Is Correct?Answer
x

21

x

19

✓

17

x

15

Tags