2017 Calhoun Community College Mathematics Tournament CIPHERING - - PowerPoint PPT Presentation

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2017 Calhoun Community College Mathematics Tournament CIPHERING - - PowerPoint PPT Presentation

Sep 19, 2023 507 likes •788 views

2017 Calhoun Community College Mathematics Tournament CIPHERING PRACTICE Question 1 Write the name of the Greek letter emblazoned on the chest of The Significant Figure here: Answer to PRACTICE Question 1 SIGMA PRACTICE Question 2

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SLIDE 1

2017 Calhoun Community College Mathematics Tournament CIPHERING

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SLIDE 2

PRACTICE Question 1

Write the name of the Greek letter emblazoned

  • n the chest of “The Significant Figure” here:
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SLIDE 3

Answer to PRACTICE Question 1

SIGMA

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PRACTICE Question 2

Buddy the elf is . How many different ways can he choose, without regard to order, two different items from his four main food groups (candy, candy canes, candy corn, and syrup)? hungry

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SLIDE 5

Answer to PRACTICE Question 2

6

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SLIDE 6

Question 1

The sum of two positive numbers is five times their difference. What is the ratio (written as a fraction) of the larger number to the smaller number?

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SLIDE 7

Answer to Question 1

3 2

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SLIDE 8

Question 2

2

Find the product of the real roots for 1 1 1. 3 2 3 x x   

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SLIDE 9

Answer to Question 2

  • 1
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SLIDE 10

Question 3

What is the smallest number greater than 𝟑𝟏,𝟏𝟏𝟏 that is divisible by the product of the first five prime numbers?

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SLIDE 11

Answer to Question 3

20,790

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SLIDE 12

Question 4

3 3

1 If sin cos , 2 what is the value of sin cos ? x x x x   

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SLIDE 13

Answer to Question 4

11 16

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SLIDE 14

Question 5 Find the sum of the squares of the first fifty positive integers.

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SLIDE 15

Answer to Question 5

42,925

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SLIDE 16

Question 6

2

What is the largest integer 38 such that is an integer? 1 n n n  

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SLIDE 17

Answer to Question 6

36

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Question 7

A circle passes through two adjacent vertices

  • f a square and is tangent to one side of the square.

If the side length of the square is 2, what is the radius of the circle?

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SLIDE 19

Answer to Question 7

5 4

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Question 8

Find the largest critical number of the function: 𝑔 𝑦 = 𝑡𝑗𝑜2(6𝑦) + cos(6𝑦), 0 < 𝑦 <

𝜌 3.

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SLIDE 21

Answer to Question 8

5 18 

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SLIDE 22

Question 9

What is the positive angle, less than 180 degrees, formed by the hands of a clock at precisely 1:20 p.m.? (Write the measure of the angle in degrees.)

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Answer to Question 9

80

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Question 10

Nicholas wants to serve holiday cookies, but is in need of an open box. He has a square scrap piece of poster board, 12 inches on a side. If he cuts equal squares from each corner, turns up the sides, and tapes them together, what is the volume of the largest box he can make? You must include the unit in your answer.

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SLIDE 25

Answer to Question 10

128 in.3