Algebra, NAPX-K2-08 v1

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

436

Question

Krusty is using matchsticks to make a pattern of rectangles.



How many matchsticks will Krusty need to make Rectangle 5?

Worked Solution

Each rectangle has 4 extra matchsticks.

Rectangle 4=14+4=184 = 14 + 4 = 18

Rectangle 5=18+4=225 = 18 + 4 = 22

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Krusty is using matchsticks to make a pattern of rectangles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/ALGEBRANAPX-K2-08V1-AAa-1.svg 450 indent vpad
How many matchsticks will Krusty need to make Rectangle 5?
workedSolution
Each rectangle has 4 extra matchsticks. Rectangle $4 = 14 + 4 = 18$ Rectangle $5 = 18 + 4 = 22$
correctAnswer
22

Answers

Is Correct?Answer
x

5

x

18

✓

22

x

26

Variant 1

DifficultyLevel

409

Question

Lynx is using matchsticks to make a pattern of triangles.



How many matchsticks will Lynx need to make Pattern 6?

Worked Solution

Method 1:

Each pattern has 2 matchsticks added

Pattern 4 = 7 + 2 = 9

Pattern 5 = 9 + 2 = 11

Pattern 6 = 11 + 2 = 13 matchsticks


Method 2: (Advanced)

Pattern 1 = 3+2×0=33 +2 \times 0 = 3

Pattern 2 = 3+2×1=53 + 2 \times 1 = 5

Pattern 3 = 3+2×2=73 + 2 \times 2 = 7

Pattern 4 = 3+2×3=93 + 2 \times 3 = 9


∴\therefore following this pattern

Pattern 6=3+2×5=136 =3+2 \times 5=13 matchsticks

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lynx is using matchsticks to make a pattern of triangles.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-K2-08.svg 600 indent vpad
How many matchsticks will Lynx need to make Pattern 6?
workedSolution
Method 1: Each pattern has 2 matchsticks added >>Pattern 4 = 7 + 2 = 9 >>Pattern 5 = 9 + 2 = 11 >>Pattern 6 = 11 + 2 = {{{correctAnswer}}} matchsticks
Method 2: (Advanced) >>Pattern 1 = $3 +2 \times 0 = 3$ >>Pattern 2 = $3 + 2 \times 1 = 5 $ >>Pattern 3 = $3 + 2 \times 2 = 7 $ >>Pattern 4 = $3 + 2 \times 3 = 9$
$\therefore$ following this pattern >>Pattern $6 =3+2 \times 5={{{correctAnswer}}}$ matchsticks
correctAnswer
13

Answers

Is Correct?Answer
x

6

x

9

x

12

✓

13

Tags