Show:
Problem Solving and Reasoning
Sequences
Make You Think
Circuits and Paths
Miscellaneous
100
The method of drawing a conclusion using logic.
What is...Deductive Reasoning
100
The formula that does not require the previous term in order to find the next term in the sequence.
What is...Explicit Formula
100
There are yellow, purple, orange, green, and blue pencils in a box. Without looking, how many pencils do I have to take before guaranteeing that I have two of the same pencils?
What is...6
100
The difference between a circuit and a path is...
What is...a path traces all the side without overlapping and a circuit a path that starts and ends at the same point.
100
What is the sum of the first row of Pascal's Triangle?
What is...2
200
Using inductive reasoning, find the next reasonable number in the pattern: 1, 8, 27, 64, 125,...
What is...216
200
Given: a(1)=19; a(n)=a(n-1)-5 Find the next 3 terms.
What is...a(2)=13; a(3)=9; a(4)=4
200
How many squares are in a 4x4 square?
What is...36
200
ESHP stands for...
What is...Euler Sides Hamiltonian Points
200
Billy has an unlimited number of pennies, nickels, and dimes. In how many different ways can he pay $0.15 for a piece of candy? (One way is 1 dime and 5 pennies.)
What is...6 ways. 3 nickels; 1 dime, 1 nickel; 15 pennies; 5 pennies, 1 dime; 5 pennies, 2 nickels; 10 pennies, 1 nickel.
300
A truck can haul 2 tons of rock at a time. How many trips will it take to haul 5 tons?
What is...3 trips.
300
Given this sequence: 3,7,11,15,19,... Find the 787th stage.
What is...3,147 Use the explicit formula a(n)=4(n)-1
300
What does this mean given the code: SJEEMF=RIDDLE? IBWF GVO SIJT TVNNFS
What is...HAVE FUN THIS SUMMER
300
How many even and odd vertices are in the following pictures? http://www.ctl.ua.edu/math103/euler/Image44.gif
What is...6 even vertices; 0 odd vertices.
300
Find the sum of numbers in the 7th row of Pascals Triangle.
What is...128
400
There are 7 boys in a bus. Each girl has 7 backpacks. In each backpack, there are 7 big cats. For every big cat there are 7 little cats. How many legs are there in the bus. (Do not count the bus driver).
What is...10,990
400
Write an recursive and explicit formula for the following sequence: 1, 5, 9, 13, 17,...
What is... Recursive: a(n)=a(n-1)+4 a(1)=1 Explicit: a(n)= 4n-3
400
A mother is four times as old as her daughter. In twenty years, she will be twice as old. How old are they now?
What is...Mother=40; Daughter=10
400
What year was W. R. Hamilton born in?
What is...1805
400
Find the sum of all the numbers: 4+8+12+.......+200
What is... 5,100
500
List the 9 problem solving strategies.
What is...Make a table or drawing. Look for a pattern. Solve a simpler problem. Write an equation. Find a formula. Work backwards. Guess and check. Use logic. Look for a "catch".
500
Find the 120th stage of the following sequence: 2.5, 3, 3.5, 4, 4.5,...
What is... Formula: a(n)= 0.5n+2 120th stage= 62
500
Throw me off the highest building and I shall not break, but throw me in a pool and my life is at stake. What am I?
What is...A Tissue.
500
In this image, is there a Euler Path? Euler Circuit? Hamiltonian Path? Hamilton Circuit? http://www.ctl.ua.edu/math103/hamilton/wpeB1E3.gif
What is... Euler Path: Yes. Euler Circuit: No. Hamiltonian Path: Yes. Hamiltonian Circuit: Yes.
500
A survey of 80 sophomores at a certain western college showed the following: 36 take English, 32 take political science, 16 take political science and history, 6 take all three classes, 32 take history, 16 take history and English, and 14 take political science and English. How many students: a) take only English? b) take none of these 3 courses? c) take only history? d) take political science and history? e) do not take political science?
What is... a) 12 b) 20 c) 6 d) 10 e)48