WELCOME TO THE 4 TH ANNUAL DAMIEN HIGH

WELCOME TO THE 4 TH ANNUAL DAMIEN HIGH SCHOOL MATH COMPETITION 2014 If you have not yet registered and received a name tag, please make your way to the front of the Activity Center.

SUPER QUIZ BOWL • This is a group competition in which many problems must be solved through collaboration. • Scratch paper is available at your tables, but the final answer for each problem must be written legibly in the box on the provided answer forms. • The final solution must be true for all the given clues. • Each question is worth different amounts of

Geometry: Triangle Inequality (Pasta, Rulers) Geometry: Overlaping Squares Manipulative http: //www. mathsisfun. com/puzzles/overlapping- squares. html Logic- Connect Dots Hashi, 2048, Fives by 5 (Tower of Hanoi) Logic- Minesweeper Algebra- Extra Terresterial http: //www. mathsisfun. com/puzzles/extra-

HTTP: //EN. WIKIPEDIA. ORG/WIKI/MATHEMATIC AL_PUZZLE http: //en. wikipedia. org/wiki/Bedlam_cube

ARITHMETIC- QUENTO Game Quento Draw line segments that use the indicated number of values and the operations to create the following values 2 numbers = 12*** 3 numbers = 9*** 1 + 4 numbers = *** – 8 5 numbers = *** Think about doing negative numbers 6 + 4 – 5

ARITHMETIC/LOGIC + REASONING MATH DOKU+ Each Row and column ahs the numbers 1, 2, 3, 4, and 5 only once in each row and only once in each column. In addition, each highlighted group has an operation and number indicated such that each number in each row is added http: //www. kenken. com/game

LOGIC + REASONING- 3 DIGIT NUMBER A 3 digit number that does not begin with 0 and has no numbers repeated in any place is guessed. Gues Number Places s Correct 351 1 0 635 2 0 982 1 1 What is the correct number? Create a 4 digit number (think about including 0)

LOGIC- BENJAMIN BANNEKER Question by Ellicott Geographer General Divide 60 into four Such parts, that the first being increased by 4, the Second decreased by 4, the third multiplyed by 4, the fourth part divided by 4, that the Sum, the difference, the product, and the Quotient shall be one and the Same Number. Using the Single Position method, guess at the "same number. " Let's guess 16. Then the first part is 12 (12 + 4 = 16), the second part is 20 (20 - 4 = 16), the third part is 4 (4 x 4 = 16), and the fourth part is 64 (64 / 4 = 16). These four parts add up to 12 + 20 + 4 + 64 = 100. Therefore, the correction factor is 60/100, or 3/5. Thus the answer is the guess, 16, times the correction factor, 3/5; 9. 6 is the value for the "same number. " The four parts, then, are 5. 6, 13. 6, 2. 4, and 38. 4 -- their sum to 60, the desired result. Single Position works here because, since the guess produced too large a result, it is reduced by a correction factor based on the ratio of the desired answer to the incorrect answer. Ans first part 5. 6 9. 6 increased by 4 Second part 13. 6 9. 6 decreased by 4 {is} third part 2. 4 9. 6 multiplyed by 4 fourth part 38. 4 9. 6 divided by 4 60. 0

GEOMETRY- MID-POINT PROBLEMS C is the midpoint of AB, D is the midpoint of AC, E is the midpoint of AD, F is the midpoint of ED, G is the midpoint of EF, and H is the midpoint of DB. If DC = 16, GH = Ray XC bisects angle AXB XD bisects AXC XE bisects AXD XF bisects EXD,

GEOMETRY- TETRIS PIECES

GEOMETRY- CONGRUENT TRIANGLES How many non-congruent triangles can you create. Draw each and order from increasing areas. How many are right triangles? How many are obtuse or acute? http: //www. coolmath 4 kids. com/math_puzzl es/t 2 -triangle. html

ALGEBRA- 9 GAPS NUMBERS SQUARES The Numbers 1 - 9 are filled in to make the rows and columns equal the value indicated using the given operations. Numbers 4, 6, and 9 have been filled in. Fill in the remaining 1, 2, 3, 5, 7, 8 Could be done twice (easier or harder) + + 9 + x x + + 4 20 = 15 = 3 ÷ x + = + – 6 = = = 15 72 14

ALGEBRA- 6 NUMBERS Use +, - , x, division and these 6 numbers create

ALGEBRA- A CLOSE SECRET My age? She smiled. You’ll have to guess. Just let me think. Ah that’s it yes. Reverse my age: divide by three: add thirtyfour. My age you’ll see. That’s what she said. So can you say, How old she must have been that day.

ALGEBRA- WHAT IS THIS? Take half of this, and add one more Then treble that, and add on four. But just the same result you’d see by adding this to twenty three. So what is “this”? You’ll have to say! Your fun with figures for today.

MAGIC SQUARE Sagrada Familia Fill in missing numbers Include negative and positive numbers. 8 3 4 Co nst ant 15 7 13 Co nst

BASE 10 SYSTEM AND BINARY SYSTEM

AREA + GEOMETRY

USE NUMBERS FROM 0, 1, 2, 3, …, 8, 9 AND GET 100

READING A CHART- CALCULUS AREA UNDER CURVE, ACCELERATION, VELOCITY

SUM OF A SERIES, NEXT NUMBER IN SEQUENCE, TABLE LINEAR AND QUADRATIC INTERSECTION

FINISH A RACE

CIRCLE AROUND A HEXAGON, CIRCLE INSIDE, DIFFERENCE IN AREA

HOUR GLASS PROBLEM? PREVIOUS EXAM An eccentric professor used a unique way to measure time for a test lasting 15 minutes. He used just two hourglasses. One measured 7 minutes and the other 11 minutes. During the whole time he turned the hourglasses only 3 times.

Hungry Horace was copying down his Mathematics Homework the other day, but because he was in a rush (he wanted to be first in the dinner queue) he copied it down incorrectly. They had been learning about multiplying 2 digit numbers, and had five questions to do at home. Horace, however, copied every number down backwards:

A Teacher thinks of two consecutive numbers in the range 1 to 10, and tells Alex one of the numbers and Sam the other. Sam and Alex have the following conversation: Alex: I don't know your number. Sam: I don't know your number, either. Alex: Now I know!

There were 100 chocolates in a box. The box was passed down along a row of people. The first person took one chocolate. Each person down the row took more chocolates than the person before, until the box was empty. What is the largest number of people that could have been in the row?

Welcome to the strange mind of Eureka Blip. He does not always think the same way as we do, but he does always have his own logical set of rules. One of his favourite tricks is to say the opposite of what he really means. Recently I had a conversation with him, which went like this:

Hungry Horace went into the Music Shop to buy some musical sweets which they were selling. There were three special packs on offer: 1) Ten quavers and five crotchets: 35 c (save 5 c) 2) Ten crotchets and ten minims: $1 (save

Using 8 exactly eight times to make a 1000. You can use any mathematical symbols

How can I get the answer 24 by only using the numbers 8, 8, 3, 3. You can use add, subtract, multiply, divide, and parentheses. Bonus rules: also allowed are logarithms, factorials and roots (Puzzle supplied by "Steve 123")

Find a 10 -digit number where the first digit is how many zeros in the number, the second digit is how many 1 s in the number etc. until the tenth digit which is how many 9 s in the number.

http: //www. mathsisfun. com/puzzles/number-puzzles-index. html http: //www. mathsisfun. com/puzzles/algebra-puzzles-index. html ABC × DEF = 123456, if A = 1 http: //www. mathsisfun. com/puzzles/shape-puzzles-index. html http: //www. qbyte. org/puzzles/puzzle 02. html

TWO BOYS AND A GIRL When Ted was twice as old as sue, her brother clive was twenty-two. When Sue was twice as old as Clive, then Ted himself was twenty-five. Their ages total one nought three, so now what must their ages be.

HOW OLD WAS ANNIE? “How old am I? ” Aunt Annie Said. “Well, now just let us see. My present age is five times what it five years hence will be, Less five times what it was five years ago, you will agree.

A REAL TWISTER If my three were a four and my one were a three, what I am would be nine less than half what I’d be. I’m only three digits, just three in a row so what in the world must I be? Do you know.

A MATTER OF IFS If Sam had driven for twenty minutes less than the time he would have driven if he had driven twenty miles less than he did drive but at two-thirds the speed at which he drove, he would have driven ten miless than he did. If he had driven twenty minutes longer than the time he would have driven if he had driven ten miles less than he did drive but at three-quarters the speed at which he drove, he would have driven twenty miles further.

ISOMETRIC DRAWING Number of Blocks

http: //www. mathsisfun. com/puzzles/cut-the -cross. html

http: //www. coolmath 4 kids. com/math_puzzl es/t 1 -triangle 2. html

http: //www. education. com/activity/article/To othpick_Math/

http: //www. planetseed. com/sciencelanding/ geometry-and-spatial-reasoning

http: //www. basic-mathematics. com/funmath-puzzles. html