2017-2018 Log1 Contest

Test Descriptions and Samples

2017 - 2018 Log1 Tests for Download

During the given month, sponsors (logged-in) should download and administer the tests below.  The login link is found on the sponsor profile page.  You are directed here after you login.

November 1st - December 15th, 2017 - Topic tests 1/2: Counting and Probability ; Functions
December 1st, 2017 - January 19th, 2018 - Topic tests 3/4: Applications ; Number Theory
January 22nd - February 23rd, 2018- Individual

Below are test descriptions, links to sample questions and test administration procedures. There are many more sample tests at the national site. The tests for this years Log 1 contest were chosen to model the kinds of tests that will be given at the 2018 National Convention in Colorado Springs. There will be three rounds of testing; a) Topic Test 1/2, b) Topic Tests 3/4, and c) Individual, which tests overall knowledge and problem solving skills. There will be somewhat different versions of each of the tests for the different divisions: Theta, Alpha and Mu.

The FAMAT organization has put together a great online reference of past tests.

Log1 tests from 2016-2017: Individual, Applications, Logs and Exponents, Equations and Inequalities, Circles, Parabolas & Polygons.
Log1 tests from 2015-2016: Individual, Functions, Geometry, Number Theory, Sequences & Series.
Log1 tests from 2014-2015: Individual, Applications, Circles & Polygons, Logs & Exponents, Probability.
Log1 tests from 2013-2014: Individual, Equations & Inequalities, Functions, Areas & Volumes, Complex Numbers.
Log1 tests from 2012-2013: Individual, Logs & Exponents, Matrices, Geometry, Sequences & Series.
Log1 tests from 2011-2012: Individual, Circles & Polygons, Equations & Inequalities, Applications, Number Theory.
Log1 tests from 2010-2011: Individual, Matrices, Sequences/Series, Algebra/Functions, Equations/Inequalities.
Log1 tests from 2009-2010: Individual, Logs and Exponents , Geometry, Probability, Sequences/Series.
Log1 tests from 2008-2009: Individual, Circles, Geometry, Matrices, Number Theory.
Log1 tests from 2007-2008: Individual, Ciphering, Geometry, Applications, Logs/Exponents.

The division definitions are:
MU level is for associate or full members who are in a Calculus class.
ALPHA level is for associate or full members who are enrolled in math courses above Algebra II but have not been enrolled in a Calculus class.
THETA level is for associate or full members who are enrolled in Geometry and/or Algebra II but have not been enrolled in a higher level mathematics course.

Round 1 - Topic Test 1/2
There will be two topic areas that the students may choose between:
Functions - Domain and range, evaluation of functions and their inverses, solving for the roots of functions and applications of basic algebraic principles.
Counting and Probability - Set theory and basic counting principles, combinations, permutations algebraic and geometric probabilities

During each round, a link will be provided (above) so that logged-in sponsors can download electronic copies of the tests and instructions. For the first round, there will be six tests (2 topics for 3 divisions). Sponsors should print the tests and make sufficient copies for their students and schedule a time during the testing period to administer the test. At the testing time, sponsors should distribute scratch paper and copies of the chosen tests to each student. Students will take only one of the topic tests offered during Round 1 and then again for Round 2.

Each Topic Test will consist of fifteen open-answer problems to be solved without a calculator in thirty minutes. The Alpha division test will have at least three questions substituted for Theta questions and the Mu test will substitute at least an additional three questions. In each case, correct responses on the first five questions are worth 4 points, 5 points for questions 6 through 10 and the last five questions are each worth 6 points. At the conclusion of the test, sponsors should score each paper and enter the scores on the student information page. If there are any disputed questions or answers for which the sponsor concurs, please contact richard.roths@highlineschools.org.

Round 2 - Topic Test 3/4
There will be two topic areas that the students may choose between:
Number Theory- GCF and LCM, prime factors, sequences and series, whole and natural number sets, and analysis of number representations.
Applications - Applications relating to concepts in algebra 2 and geometry for all levels, pre-calculus and/or trigonometry included for Alpha/Mu and calculus, optimatization and related rates included for Mu.

Round 3 - Individual Test
The individual test is administered in the same manner as the topic tests. It is a 15-problem, 30-minute, individual test of general mathematics knowledge. Problems, to be solved without a calculator, will range from easy to difficult to provide confidence and challenges to all students. Problem selection and scoring will be the same as the topic tests.

Again, disputed questions may be submitted to richard.roths@highlineschools.org as soon as they are noted. We will verify the dispute and notify other schools if a change is necessary.

Each student test score will be scaled to account for varying test difficulty. The test score will be divided by the maximum test score for that test and math division and multiplied by 100. A student's overall score will be the sum of their scaled scores on the three tests and will thus be a number between zero and three hundred.

The school score on the topic test rounds will be the sum of the highest student score on each topic test and math level for a total of six scores. On the individual test, the top two scores from each math level will accumulate towards the school score. There is a potential then of 600 points on each round for a maximum school score for the contest of 1800.