Overlapping Problems( Week 47 Evaluation) 1. The drawings are hanged in a string for an art exhibition. Each drawing needs to be clipped at two sides. A clip can be shared by the two adjacent drawings as shown in the figure below.
At most how many drawings can be clipped to the string with 19 clips? 2. There are 8 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. There are 16 drawings to be hanged in a string for an art exhibition. Each drawing needs to be clipped at two sides. A clip can be shared by the two adjacent drawings as shown in the figure below.
At least how many clips are needed to hang the drawings? 5. There are 4 metal strips to be connected into a long strip. Each metal strip is 8 feet long and the length of each overlapping area is 1 foot as shown in the figure below.
What is the length of the long strip (in feet)? 6. There are 8 students in a small class. 4 of them got an A in English and 4 of them got an A in Math. 2 of them got an A in both English and Math. How many did not get an A in English, nor in Math? 7. Some drawings in an exhibition are shown 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 most how many drawings can be fixed with 20 pins? 8. There are 12 people in a family. 5 of them like football and 5 of them like basketball. 4 of them like both football and basketball. How many of them do not like football, nor like basketball? 9. Among the members of a family, 4 of them like football, 4 of them like basketball, and 3 of them like both football and basketball. At least how many people in the family? 10. The students in a class were asked to answer two Math questions. 10 of them answered the first question correctly and 9 answered correctly for the second question. 6 of them answered both questions correctly. At least how many students were in the class? |