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Patterns

i Sonal and A...

Question

Question 86(i)
Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.

Complete the table.
$\begin{matrix} R o w s, r & 4 & 6 & 8 N u m b e r o f w h i t e t i l e s, w & 9 N u m b e r o f p u r p l e t i l e s, p & 1 \end{matrix}$

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Solution

The complete table is shown below
$\begin{matrix} R o w s, r & 4 & 6 & 8 N u m b e r o f w h i t e t i l e s, w & 9 & 15 & 21 N u m b e r o f p u r p l e t i l e s, p & 1 & 6 & 15 \end{matrix}$

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Q. Question 86(i)
Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.

Complete the table.

\begin{matrix} R o w s, r & 4 & 6 & 8 N u m b e r o f w h i t e t i l e s, w & 9 N u m b e r o f p u r p l e t i l e s, p & 1 \end{matrix}

Q. Question 85(i)
Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.

Copy and complete the table

\begin{matrix} S i d e l e n g t h o f p u r p l e & 1 & 2 & 4 & 5 & 10 & 100 N u m b e r o f w h i t e t i l e s i n b o r d e r \end{matrix}

Q. Question 86(ii)
Sonal and Anmol then made another sequence of the designs. Three of the designs are shown below.

Draw a graph of rows and number of white tiles. Draw another graph of the number of rows and the number of purple tiles. Put the number of rows on the Horizontal axis.

Q. Question 85(ii)
Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.

Draw a graph using the first five pairs of numbers in your table.

Q. Question 85(iii)
Sonal and Anmol made a sequence of the designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.

Do the points lie on a line?

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