
Understanding the 2003 Australian Mathematics Competition Problem
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+5
Standards-aligned

Emma Peterson
Used 3+ times
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial condition given for the function f in the problem?
f(11) = 11
f(11) = 0
f(11) = 1
f(11) = -11
Tags
CCSS.HSF.IF.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula used to find f(n+3) in terms of f(n)?
f(n+3) = f(n) - 1
f(n+3) = f(n) + 1
f(n+3) = (f(n) + 1) / (f(n) - 1)
f(n+3) = (f(n) - 1) / (f(n) + 1)
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of f(14) after applying the formula to f(11)?
1/2
11
5/6
2/3
Tags
CCSS.HSN.RN.A.2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the expression when dealing with fractions within a fraction?
Subtract the fractions
Divide the fractions
Add the fractions
Multiply top and bottom by the same number
Tags
CCSS.HSF.IF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of f(17) after simplification?
11
-11
-1/11
1/11
Tags
CCSS.HSF.BF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What pattern is observed in the function values as n increases?
The values decrease exponentially
The values remain constant
The values form a repeating cycle
The values increase linearly
Tags
CCSS.4.NBT.B.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many 3s are added to 11 to reach 2003?
664
500
1000
200
Tags
CCSS.4.OA.B.4
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