Page 23
7. A sequence of figures is made from joining polygons with sides of unit length. The first three figures
DO NOT WRITE IN THIS AREA
in the sequence are shown below.
(a) Draw Figure 4 of the sequence.
DO NOT WRITE IN THIS AREA
(2 marks)
DO NOT WRITE IN THIS AREA
GO ON TO THE NEXT PAGE
-
01234020/JANUARY 2019
‘‘*’’Barcode Area”*”
Sequential Bar Code
Page 24
(b) Study the pattern of numbers in each row of the table below. Each row relates to one of the
DO NOT WRITE IN THIS AREA
figures in the sequence of figures on page 23. Some rows have not been included in the table.
Complete the rows numbered (i), (ii) and (iii).
Number of Outer
Figure 1 Perimeter
Lines of Unit Length
1 1+2+2 5
2 2+2+4 8
3 3+2+6 11
…
…
(i) (2 marks)
6 ____________ ____________
DO NOT WRITE IN THIS AREA
…
…
(ii) (2 marks)
____________ ____________ 65
…
(iii) (2 marks)
n ____________ ____________
(c) Show that no figure can have a perimeter of 100 units.
DO NOT WRITE IN THIS AREA
.......................................................................................................................................................
(2 marks)
Total 10 marks
GO ON TO THE NEXT PAGE
01234020/JANUARY 2019
-
‘‘*’’Barcode Area”*”
Sequential Bar Code
-
=>
r
8. A sequence of figures is made from toothpicks of unit length. The first three figures in the sequence
Yase{;
/\ AZ N/N
are shown below.
Frgure 1 Figure 2 Figure 3
(a) Draw Figure 4 of the sequence.
(2 marks)
(b) Study the patterns of numbers in each row of the table below. Each row relates to one of
the figures in the sequence of figures above. Some rows have not been included in the
table.
Complete the rows numbered (i), (ii), (iii) and (iv).
Number of Toothpicks
Figure Perimeter of Figure
in Pattern
1
a
J 0+l+2:3
2 7 I +2+2:5
J 1l 2+3 +2:7
(0 4 (2 marks)
(ii) 19+20+2:41 (2 marks)
(iii) t27 (2 marks)
(iv) n (2 marks)
Total 10 marks
GO ON TO THE NEXT PAGE
-
01234020/JANUARY 2018
I lflil ill lut iltil ililt lilt ilfl il]t flfl il]t ilt lfl
