8. January 2007 A large equilateral triangle is sub-divided into a set of smaller equilateral triangles by the following procedure: The midpoints of the sides of each equilateral triangle are joined to form a new set of smaller triangles. The procedure is repeated m times. The table below shows the results when the above procedure has been repeated twice, that is, when n = 2. (i) Calculate the number of triangles formed when n=3. n Result after each step No. of triangles formed 1 (2 marks) 0 (ii) Determine the number of triangles formed when n=6. (2 marks) 1 A shape has 65 536 small triangles. 2 (iii) Calculate the value of n. (3 marks) 16 2 (i) 3 (ii) 64 6 (iv) Determine the number of small triangles in a shape after carrying out the procedure times. (3 marks) (iii) m 65536 (iv) 2014 ル 131 Total 10 mark
8. January 2007 A large equilateral triangle is sub-divided into a set of smaller equilateral triangles by the following procedure: The midpoints of the sides of each equilateral triangle are joined to form a new set of smaller triangles. The procedure is repeated m times. The table below shows the results when the above procedure has been repeated twice, that is, when n = 2. (i) Calculate the number of triangles formed when n=3. n Result after each step No. of triangles formed 1 (2 marks) 0 (ii) Determine the number of triangles formed when n=6. (2 marks) 1 A shape has 65 536 small triangles. 2 (iii) Calculate the value of n. (3 marks) 16 2 (i) 3 (ii) 64 6 (iv) Determine the number of small triangles in a shape after carrying out the procedure times. (3 marks) (iii) m 65536 (iv) 2014 ル 131 Total 10 mark
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:8.
January 2007
A large equilateral triangle is sub-divided into a set of smaller equilateral triangles by the
following procedure:
The midpoints of the sides of each equilateral triangle are joined to form a new set of smaller
triangles.
The procedure is repeated m times.
The table below shows the results when the above procedure has been repeated twice, that is,
when n = 2.
(i) Calculate the number
of triangles formed
when n=3.
n
Result after each step
No. of triangles
formed
1
(2 marks)
0
(ii) Determine the number
of triangles formed when
n=6.
(2 marks)
1
A shape has 65 536 small
triangles.
2
(iii) Calculate the value of n.
(3 marks)
16
2
(i)
3
(ii)
64
6
(iv) Determine the number
of small triangles in a
shape after carrying out
the procedure times.
(3 marks)
(iii)
m
65536
(iv) 2014
ル
131
Total 10 mark
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