TREES category Math Competition 2022

Write the next number in the sequence 1,2,10,37,....

Which figure is the rotation of the given object?

• A

• B

• C

• D

I have 23 balls in a jar. 7 are red, 6 yellow, 5 green the rest is orange. What is the probability that I will randomly pick up an orange ball in percentage rounded to a whole number? (write only the number, no symbol after... example: do not write 45%, 45 percent or anything like that, simply just the number "45")

Harry and Terry are each told to calculate 8 - (2+5) . Harry gets the correct answer. Terry ignores the parentheses and calculates the problem like that . If Harry's answer is and Terry’s answer is , what is ?

• -10

• -6

• 0

• 6

• 10

George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first 0.5 mile at a speed of only 2 miles per hour. At how many miles per hour must George run the last 0.5 mile in order to arrive just as school begins today?

• 4

• 6

• 8

• 10

• 12

Rectangle ABCD has sides CD=3 and DA=5 . A circle of radius 1 is centered at A , a circle of radius 2 is centered at B , and a circle of radius 3 is centered at C . Which of the following is closest to the area of the region inside the rectangle but outside all three circles?

• 3.5

• 4.0

• 4.5

• 5.0

• 5.5

Rectangle ABCD and right triangle DCE have the same area. They are joined to form a trapezoid, as shown. What is CE ?

• 12

• 13

• 14

• 15

• 16

Four friends do yardwork for their neighbors over the weekend, earning $15, $20, $25 and $40 respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned the most give out to the others?

• $5

• $10

• $15

• $20

• $25

Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the last car. Aaron sat directly behind Sharon. Darren sat in one of the cars in front of Aaron. At least one person sat between Karen and Darren. Who sat in the middle car?

• Aaron

• Darren

• Karen

• Maren

• Sharon