Math Olympiad 2( Week 51 Quiz 10) 1. Steve is 1 foot shorter than Jennifer. The total heights of both is 9 feet. What is the height of Jennifer in feet? 2. There are 7 drawings to be exhibited in a long showcase. Each drawing needs to be fixed with pins in the four corners. A pin can be shared by the two adjacent drawings as shown in the figure below.
At least how many pins are needed to fix the drawings? 3. There are 2 metal strips to be connected into a long strip. Each metal strip is 7 feet long and the length of the overlapping area is 2 feet as shown in the figure below.
What is the length of the long strip (in feet)? 4. Curtis is currently the same age as Laura 2 years ago and their total age was 10 years then. What is the age of Curtis now? 5. Each face of a cube is uniquely marked from 1 to 6. Some of the faces are shown below. Which of the following is marked on the opposite face of '3'?
6. Each face of a cube has a unique color. Below shows some of the faces of the cube. What is the possible color of the face that is opposite to the face with (red) color?
7. There are two clubs with a total of 26 students. One club has 2 more students than the other one. How many students are there in the smaller club? 8. Morgan and Ben both have a certain number of cookies. If Morgan gives 6 cookies to Ben, then they would have the same number of the cookies. How many more cookies does Morgan have than Ben has now? 9. Smith is currently the same age as Sofia 2 years ago. The total age of both is now 10 years old. What is the age of Smith? 10. Each face of a cube is uniquely marked from O to T. Some of the faces are shown below. Which of the following is marked on the opposite face of 'T'?
11. A tournament gave prize money for the competitors. The 1st place got half of all the prize money. The 2nd place got half of the remaining prize money. Each of the next placement competitor got half the remaining prize money. If the 3rd placement got $2, what was the prize for the 1st place (in dollars)? 12. Each face of a cube is uniquely marked from A to F. Some of the faces are shown below. Which of the following is marked on the opposite face of 'D'?
13. If you write down the integers from 1 to 90 inclusively, how many times will the digit "1" be written? 14. A pie can be made in a pan in 6 minutes with 3 minutes for each side of the pie. If the pan can make four pies at the same time, at least how many minutes are needed to make 6 pies? 15. 3 students took turns to put books from a bin to a shelf. The 1st student took half of the books from the bin and put them to the shelf. Each of the remaining students took half of the books remained in the bin and put to the shelf. In the end, there were 3 books still left in the bin. How many books in total did all the 3 students put to the shelf? |