Puzzles Week of 11 September 2017

1 If 4 times a number is 48, what is 1/3 of the number?
2 Luca and Isaiah took paper clips from the Draper cabinet.  Luca took 1/3 of the paper clips and Isaiah took 1/6 of the paper clips.  What fraction of the paper clips remain in the drawer?
3 The mean of a list of seven numbers is 45.  If I add two numbers to this list, the mean of the list becomes 37.  What is the mean of the two numbers that I add to the list?
4 Divide 1000 into two parts so that one part is a multiple of 19 and the other is a multiple of 47.
5 Cami was arranging baskets of fruit on the tables.  Four baskets contained a total of 84 delicious, juicy oranges.  The fifth basket contained 4 fewer oranges than the average (mean) of the five baskets.  How many oranges were in the fifth basket?
6 When the least common multiple of 8 and 20 is multiplied by the greatest common factor of 8 and 20, what is the result?
7 John runs from his house to Sophie’s house on Sunday.  On Monday when he makes the return trip, he figures that if he increases his speed by one-fifth, he can make the trip in 80 minutes.  How many minutes did the first trip take?
8 In a class of 50 students, 40% are girls.  Only girls are added to the class until the percent of girls increases to 60%  How many girls were added to the class?
9 An isosceles trapezoid has bases of 10 units and 20 units and a height of 12 units.  What is the perimeter of the trapezoid?