Challenge Problems( Week 50 Evaluation) 1. There are 5 colors for all my crayons. All my crayons are yellow except 16. All my crayons are either green or gray except 14. All my crayons are either red or blue except 12. How many crayons do I have? 2. There are 4 colors for all my balls. All my balls are yellow except 3. All my balls are green except 3. All my balls are red except 3. All my balls are blue except 3. How many balls do I have? 3. Kevin sells shoes to make a living. One day, a customer came to buy a pair of shoes with a $100 bill. The cost of a pair of shoes was $57, and and the price was $60. Kevin had no change at the time, so he exchanged the $100 bill for 100 one-dollar bills with Emily. The customer took the shoes and $40 of change. Later, Emily found that the $100 bill Kevin exchanged with her is a counterfeit bill, so Kevin had to pay back the money to Emily. How much (in dollars) did Kevin lose in the sale? 4. Sofia had 40 pennies and Nick had 44 pennies at the beginning. Sofia gave of her pennies to Nick, and Nick gave of all the pennies he then had to Sofia. After that, how many more pennies did Nick have than Sofia? 5. Bubble sort is a simple sorting algorithm that works by repeatedly stepping through the list to be sorted, comparing each pair of adjacent items and swapping them if they are in the wrong order. The pass through the list is repeated until no swaps are needed, which indicates that the list is sorted. The algorithm gets its name from the way smaller elements "bubble" to the top of the list.The sequence of the following numbers [9, 6, 7, 8, 5] if sorted by bubble sort into the order from smallest to biggest. How many swaps will happen during the sorting? 6. The weight of a glass bowl half filled with water is 58 ounces. If the bowl is full, the total weight of the bowl and water is 86 ounces. What is the weight of the bowl (in ounces)? 7. Eric and Niconia are saving money for an airline ticket to a national event in San Francisco in October. The cost of an airline ticket is the same for both. Niconia is still $100 short for the ticket, and Eric is still $74 short for the ticket. Even if they combine their money, they are still $16 short for one ticket. How much does one airline ticket cost in dollars? 8. A math competition team is made up of students from 4th grade to 6th grade. of the students are from 4th grade. 6 students are from 5th grade, and 14 students are from 6th grade. How many students in total are on the team? 9. The parents prepared a deck of fancy cards for their three boys as the New Year's gift. Each boy is going to get an equal number of cards in the New Year's day. Three brothers were so eager to get their cards. On the New Year's Eve night, the youngest brother first divided the cards into 3 equal shares. He took his share and left the remaining cards in the deck. Later that night, the middle brother, without knowing that the youngest brother already took his share, also divided the remaining cards into to 3 equal shares, took his share and left the remaining cards in the deck. In the early morning of the New Year's day, the eldest brother, without knowing that his younger brothers already took their cards, again divided the remaining cards into 3 equal shares, took his share, and left the remaining cards in the deck. At least how many card(s) did the youngest brother take? 10. There are 5 large tubes, and there are 2 small tubes inside each large tube. Inside each of these small tubes are 5 even smaller tubes. How many tubes of various sizes are there in total? |