*A. **56m **B. **60m **C. **64m **D. **72m **E. **80m*

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#
Math Kangaroo Workshop (FL)

## Prof. Giray Okten

## Monday, March 2, 2009

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Week 4 - Problem 4

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Week 4 - Problem 3

## Saturday, February 28, 2009

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Week 4 - Problem 2

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Week 4 - Problem 1

## Monday, February 23, 2009

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Week 3 - Problem 5

## Saturday, February 21, 2009

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Week 3 - Problem 4

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Week 3 - Problem 3

## Thursday, February 19, 2009

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Week 3 - Problem 2

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Week 3 - Problem 1

## Wednesday, February 18, 2009

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Challenge Problem

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Challenge Problem

## Tuesday, February 17, 2009

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Week 2 - Problem 6

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Week 2 - Problem 5

## Monday, February 16, 2009

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Week 2 - Problem 4

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Week 2 - Problem 3

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Week 2 - Problem 2

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Week 2 - Problem 1

A workshop in Florida for 2009 Math Kangaroo Competition. Visit Math Kangaroo webpage for registration and information about the competition: www.mathkangaroo.org

The area of a rectangle equals 1. What is the area of the triangle, which is cut off from the rectangle by the line connecting the midpoints of the two adjacent sides?

*A. **1/3 **B. **1/4 **C. **2/5 **D. **3/8 **E. **1/8*

The combination for opening a safe is a three – digit number made up of different digits. How many different combinations can you make using only digits 1, 3, and 5?

A) 2 B) 3 C) 4 D) 5 E) 6

The numbers 34 and 142 have the same sum of their digits (3+4=7 and 1+4+2=7). What is the first number greater than 2007 such that the sum of its digits is the same as the sum of the digits of 2007?

A) 2016 B) 2115 C) 2008 D) 7002 E) 2070

Betty likes calculating the sum of the digits that she sees on her digital clock (for instance, if the clock shows 21:17, then Betty gets 11). What is the biggest sum she can get if the clock is a 24-hour clock?

A) 24 B) 36 C) 19 D) 25 E) another answer

Rachel opened her math book and found that the sum of the facing pages was 243. What pages did she open to?

A math student interviewed 50 fifth graders. 41 students said they liked peanut butter sandwiches, 35 liked jam sandwiches, and 30 liked both on their sandwiches. How many students like neither?

Sophie draws kangaroos: a blue one, then a green, then a red, then a black, a blue, a green, a red, a black, and so on…What color is the 29th kangaroo?

A) blue B) green C) red D) black E) it’s impossible to know

The sum of the numbers in each ring below should be 55. What is the value of *A*?

A) 9 B) 10 C) 13 D) 16 E) 17

In the addition problem below, different letters represent different digits. What digit does A represent?

A A

+ A A

____

C A B

Mr. Chin went to a store where he spent one-half of his money and then $14 more. He then went to another store where he spent one-third of his remaining money and then $14 more. He then had no money left. How much did he have when he entered the first store?

Anna wrote a 2-digit number. Ben created a 4-digit number by copying Anna's number twice. Then Anna divided Ben's number by her number. What was the result she got?

A) 100 B) 101 C) 1000 D) 1001 E) 10

Bill thought of an integer number. Nick multiplied this number either by 5 or by 6. John added either 5 or 6 to Nick’s result. Last, Andrew subtracted either 5 or 6 from John’s result. The final result obtained was 73. What was Bill’s number?

A) 10 B) 11 C) 12 D) 14 E) 15

Harry Potter let an owl out at 7:30 a.m. to deliver an important message to his friend Ron. The owl delivered the envelope at 9:10 a.m. An owl flies 4 km in 10 minutes. What was the distance between Harry and Ron?

A) 14 km B) 20 km C) 40 km D) 56 km E) 64 km

What is the 2007th letter in the sequence KANGAROOKANGAROOKANG… ?

A) K

B) A

C) N

D) R

E) O

There were 60 birds on three trees. At some moment 6 birds flew away from the first tree, 8 birds flew away from the second tree, and 4 birds flew away from the third tree. After that, it turned out that the number of birds on each tree was the same. How many birds were there on the second tree in the beginning?

A) 26 B) 24 C) 22 D) 21 E) 20

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