
3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48
t (Min)1
2
3
4
5
6
d (km)
1 2 3 4 5?1?2?3?4?5 x
1
2
3
4
5
?1
?2
?3
?4
?5
y
Relations and Functions Practice Questions

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Name: _______________
Date: _______________Relations and Functions Practice TestMultiple Choice (1 mark each)

USA
AIME
19901 The increasing sequence 2, 3, 5, 6, 7, 10, 11, . . . consists of all positive integers that are neither
the square nor the cube of a positive integer. Find the 500th term of this sequence.2 Find the value of (52 + 6
?43)3/2 ? (52? 6
?43)3/2.

USA
AIME
19911 Find x2 + y2 if x and y are positive integers such that
xy + x+ y = 71x2y + xy2=
880.(0)

USA
AIME
19921 Find the sum of all positive rational numbers that are less than 10 and that have denominator
30 when written in lowest terms. 
USA
AIME
19871 An ordered pair (m,n) of nonnegative integers is called ?simple? if the addition m+n in base
10 requires no carrying. Find the number of simple ordered pairs of nonnegative integers
that sum to 1492. 
USA
AIME
1988 
USA
AIME
19891 Compute
?(31)(30)(29)(28) + 1.
2 Ten points are marked on a circle. How many distinct convex polygons of three or more sides
can be drawn using some (or all) of the ten points as vertices?3 Suppose n is a positive integer and d is a single digit in base 10. Find n if
n
810 
USA
AIME
19861 What is the sum of the solutions to the equation 4
?
x =12
7? 4
?
x?
2 Evaluate the product (
?5 +
?6 +
?7)(?
?5 +
?6 +
?7)(
?5?
?6 +
?7)(
?5 +
? 
USA
AIME
19831 Let x, y, and z all exceed 1 and let w be a positive number such that logxw = 24, logy w = 40,
and logxyz w = 12. Find logz w.2 Let f(x) = x? p+ x? 15+ x? p? 15, where 0
taken by f(x) for x in the interval p ? x ? 15. 
USA
AIME
19851 Let x1 = 97, and for n > 1 let xn = nxn?1 . Calculate the product x1x2 ? ? ?x8.

USA
AIME
19841 Find the value of a2 + a4 + a6 + ? ? ?+ a98 if a1, a2, a3, . . . is an arithmetic progression with
common difference 1, and a1 + a2 + a3 + ? ? ?+ a98 = 137.2 The integer n is the smallest positive multiple of 15 such that every digit of n is either 8 or
0. Compute n15 . 
PT2520 Unit 9 Clarence Gross 3/2/13
Threat analysis is about identifying all the ways the database can be harmed.
TrueAccidental threats are as great a danger to a database as intentional ones.
TrueA policy is a set of step by step instructions for accomplishing a task.
False 
Jamel Travis
11/17/2012
Homework 9Threat analysis is about identifying all the ways the database can be harmed.
TrueAccidental threats are as great a danger to a database as intentional ones.
TrueA policy is a set of step by step instructions for accomplishing a task.
False
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