20341

Question

{{name}} creates a pattern with {{object1}}.

{{patternimage}}

How many {{object2}} are needed for {{figure}} in this pattern?

Worked Solution

{{{solution}}}

Variant 0

DifficultyLevel

497

Question

Alan creates a pattern with square tiles.

How many tiles are needed for Figure 6 in this pattern?

Worked Solution

Figure 1: 1

Figure 2: 1 + 4 = 5

Figure 3: 5 + 4 = 9

⇒\Rarr Add 4 each figure
∴\therefore Figure 6 = 1 + 5 ×\times 4
= 21

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Alan
object1
square tiles
patternimage
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/20341_var0.svg 400 indent vpad
object2
tiles
figure
Figure 6
solution
Figure 1: 1 Figure 2: 1 + 4 = 5 Figure 3: 5 + 4 = 9 sm_nogap $\Rarr$ Add 4 each figure
| | | | --------------------- | ------------------- | | $\therefore$ Figure 6 | = 1 + 5 $\times$ 4 | | | = 21 |
correctAnswer
21

Answers

Is Correct?Answer
x

6

x

13

x

17

✓

21

Variant 1

DifficultyLevel

495

Question

Sydney creates a pattern with matchsticks.

How many matchsticks are needed for Figure 7 in this pattern?

Worked Solution

Figure 1: 4

Figure 2: 4 + 3 = 7

Figure 3: 7 + 3 = 10

⇒\Rarr Add 3 each figure
∴\therefore Figure 7 = 4 + 6 ×\times 3
= 22

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Sydney
object1
matchsticks
patternimage
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/20341_var1.svg 480 indent vpad
object2
matchsticks
figure
Figure 7
solution
Figure 1: 4 Figure 2: 4 + 3 = 7 Figure 3: 7 + 3 = 10 sm_nogap $\Rarr$ Add 3 each figure
| | | | --------------------- | ------------------- | | $\therefore$ Figure 7 | = 4 + 6 $\times$ 3 | | | = 22 |
correctAnswer
22

Answers

Is Correct?Answer
x

7

x

18

✓

22

x

26

Variant 2

DifficultyLevel

498

Question

Xanthia creates a pattern with matchsticks.

How many matchsticks are needed for Figure 6 in this pattern?

Worked Solution

Figure 1: 4

Figure 2: 4 + 9 = 13

Figure 3: 13 + 9 = 22

⇒\Rarr Add 9 each figure
∴\therefore Figure 6 = 4 + 5 ×\times 9
= 49

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Xanthia
object1
matchsticks
patternimage
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/20341_var2.svg 440 indent vpad
object2
matchsticks
figure
Figure 6
solution
Figure 1: 4 Figure 2: 4 + 9 = 13 Figure 3: 13 + 9 = 22 sm_nogap $\Rarr$ Add 9 each figure
| | | | --------------------- | ------------------- | | $\therefore$ Figure 6 | = 4 + 5 $\times$ 9 | | | = 49 |
correctAnswer
49

Answers

Is Correct?Answer
x

7

x

31

x

40

✓

49

Variant 3

DifficultyLevel

503

Question

Jack creates a pattern with triangular tiles.

How many tiles are needed for Figure 5 in this pattern?

Worked Solution

Figure 1: 1

Figure 2: 1 + 3 = 4

Figure 3: 4 + 5 = 9

Figure 4: 9 + 7 = 16

Figure 5: 16 + 9 = 25

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Jack
object1
triangular tiles
patternimage
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/20341_var3.svg 440 indent vpad
object2
tiles
figure
Figure 5
solution
Figure 1: 1 Figure 2: 1 + 3 = 4 Figure 3: 4 + 5 = 9 Figure 4: 9 + 7 = 16 Figure 5: 16 + 9 = 25
correctAnswer
25

Answers

Is Correct?Answer
x

5

x

13

x

21

✓

25

Variant 4

DifficultyLevel

501

Question

Alvin creates a pattern with grey square tiles.

How many tiles are needed for Figure 6 in this pattern?

Worked Solution

Figure 1: 8

Figure 2: 8 + 5 = 13

Figure 3: 13 + 5 = 18

⇒\Rarr Add 5 each figure
∴\therefore Figure 6 = 8 + 5 ×\times 5
= 33

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Alvin
object1
grey square tiles
patternimage
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/12/20341_var4.svg 480 indent vpad
object2
tiles
figure
Figure 6
solution
Figure 1: 8 Figure 2: 8 + 5 = 13 Figure 3: 13 + 5 = 18 sm_nogap $\Rarr$ Add 5 each figure
| | | | --------------------- | ------------------- | | $\therefore$ Figure 6 | = 8 + 5 $\times$ 5 | | | = 33 |
correctAnswer
33

Answers

Is Correct?Answer
x

5

x

23

x

28

✓

33