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  • 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

  • Text automatically extracted from attachment below. Please download attachment to view properly formatted document.---Extracted text from uploads/algebra/math10cmidtermreviewrevised.pdf---

  • Name: _______________
    Date: _______________Relations and Functions Practice Test

    Multiple Choice (1 mark each)

  • USA
    AIME
    1992

    1 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
    1990

    1 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
    1991

    1 Find x2 + y2 if x and y are positive integers such that

    xy + x+ y = 71x2y + xy2=
    880.

    (0)

  • USA
    AIME
    1988

  • USA
    AIME
    1989

    1 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
    1987

    1 An ordered pair (m,n) of non-negative integers is called ?simple? if the addition m+n in base
    10 requires no carrying. Find the number of simple ordered pairs of non-negative integers
    that sum to 1492.

  • USA
    AIME
    1983

    1 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
    1985

    1 Let x1 = 97, and for n > 1 let xn = nxn?1 . Calculate the product x1x2 ? ? ?x8.

  • USA
    AIME
    1986

    1 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
    1984

    1 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 .

  • Jamel Travis
    11/17/2012
    Homework 9

    Threat analysis is about identifying all the ways the database can be harmed.
    True

    Accidental threats are as great a danger to a database as intentional ones.
    True

    A policy is a set of step by step instructions for accomplishing a task.
    False

  • PT2520 Unit 9 Clarence Gross 3/2/13

    Threat analysis is about identifying all the ways the database can be harmed.
    True

    Accidental threats are as great a danger to a database as intentional ones.
    True

    A policy is a set of step by step instructions for accomplishing a task.
    False

Subject: 
Subject X2: 

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