Computational Thinking
Logic
Sets
Counting
100
What are the next two numbers in the sequence, 4, 12, 36, 108, ____, _____.
324, 972. Each new number is multiplied by 3 in the sequence.
100
Five people were eating pies, A finished before B, but behind C. D finished before E, but behind B. What was the finishing order?
From first to last, CABDE.
100
If A = {1, 2, 3} and B = {3, 4, 5}, find A ∪ B and A ∩ B.
A U B = {1, 2, 3, 4, 5}
A ∩ B = {3}
100
An ice cream shop offers 4 flavors of ice cream and 3 types of cones. How many different ice cream cones can you order if you choose one flavor of ice cream and one type of cone?
12 different combinations.
200
I am a two-digit number. My tens digit is twice my ones digit, and the sum of my digits is 12. What number am I?
The number is 48. 4 + 8 is 12. 8 is twice of 4.
200
Susan and Lisa decided to play tennis against each other. They bet $1 on each game they played. Susan won three bets and Lisa won $5. How many games did they play?
11 games. Lisa lost three games to Susan, so she had lost $3 ($1 per game). So, she had to win back that $3 with three more games, then win another five games to win $5.
200
If A = {10, 20, 30, 40, 50}, find the cardinality.
Cardinality of A = 5
200
If you roll a standard six-sided die three times, how many different outcomes (combinations of numbers) are possible?
216 possible combinations
300
You have a drawer full of red socks and blue socks, but it's dark, and you can't see the colors. How many socks do you need to pull out of the drawer to ensure you have a matching pair?
3 socks. When you pull out three socks, you are guaranteeing at least one pair of socks of the same color.
300
The day before two days after the day before tomorrow is Saturday. What day is it today?
Friday. The “day before tomorrow” is today. The day before two days after is really one day after. So if one day after today is Saturday, then it must be Friday.
300
If A= {1,2,3,4,5,6} and B= {4,5,6,7,8}. Find A \ B.
A \ B = {1, 2, 3}
300
You have 7 different books to put on a bookshelf. In how many different orders can you arrange them on the shelf?
5,040 different orders.
400
Write a step-by-step algorithm for making a peanut butter and jelly sandwich. Be specific about each action and its order.
Answers will vary,
Ex:
1.) Place two bread slices on a table or countertop
2.) Spread peanut butter on one slice of bread
3.) Spread jelly on the other slice of bread
4.) Combine the two slices of bread
5.) Eat the sandwich
400
There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there?
Three, two ducks are in front of the duck in the back. There are two ducks behind the duck in front, and there is a duck in between the duck in the back and in the front.
400
Draw a Venn diagram to represent the set, (A ∩ B) U C.
400
In your state, license plates consist of 3 letters followed by 2 digits. How many different license plate numbers are possible if repetition of letters and digits is allowed?
1,757,600