A series of figures is formed using sticks and circles. The first three figures are as shown. Draw F

Question

A series of figures is formed using sticks and circles. The first three figures are as shown. Draw Figure $4$ in the space below.[1] Complete the table.[2] Figure numberNumber of sticksNumber of circles 144 2129 32416 4 5 Is it possible to form a figure with $842$ sticks in this series of figures? Explain your answer.[1] Write down, in terms of $n$, an expression for the number of circles in Figure $n$.[1] If there is unlimited supply of sticks, what is the largest Figure that could be formed with $2500$ circles?[1]

Accepted Answer

(ii) Figure 4: $40,25$; Figure 5: $60,36$ (iii) no (iv)(a) $(n+1)^2$ (b) Figure $49$

2016 RGS Y1 EYA Q12

2016 RGS Y1 EYA Q12

Solution:

Solution locked

Figure number	Number of sticks	Number of circles
1	4	4
2	12	9
3	24	16
4
5