Andy wants to save paper in printing documents. He does this by printing 8 pages into one sheet of paper as shown in the following configuration below:
He needs to print one document file, which contains 21 pages, to hand out to 40 persons so that each person gets a complete hard copy of the document. At least, how many sheets of paper will he need to accomplish this task?
Twenty-four chairs are equally spaced around a circular table. These chairs are numbered from 1 to 24, in order. Which chair is at the opposite end of the diameter of this round table to chair number 20?
Six marbles are to be placed on the following maze path shown below so that, when you start from a cell that contains a marble and then travel along the maze paths, you will get to each of the next marbles after passing through the same number of empty cells.
What is the maximum possible number of marbles that can be placed in the shaded row?
Four shuttle buses leave a bus stop all at the same time at 9:00 AM. The first bus returns to this stop every 8 minutes, the second bus every 9 minutes, the third bus every 12 minutes and the fourth bus every 16 minutes. When will be the next time all four buses will be at the bus stop?
In the diagram below, a net of a cube is shown where points A, B, C, D, E and F are midpoints of the edges of the cube. When this cube is constructed, which point does point F coincide with?
Alex has some pencils. He gives half of his pencils to his brother, and then half of what was left to his sister, leaving himself with just 5 pencils. How many pencils did he have at the beginning?
There is a long highway, from county A to county H, which passes through county B, C, D, E, F and G, in this order. The length of this highway in each county is shown in the table below.
Which county is the midpoint of this highway located in?
In the diagram below, there is an octagon ABCDEFGH, where every pair of adjacent edges meet at a right angle. It is known that $BC=24$ cm, $CD=26$ cm and $GH=17$ cm. What is the perimeter, in cm, of octagon ABCDEFGH?
In a strange country calendar, one year consists of 600 days and one week consists of 7 days. The days of the week have the same names and order as our normal calendar. If, in this country’s current year calendar, the first day of this year was Friday, on what day of the week would the first day of the next year be?
Move exactly one card from each pile of five cards to another pile so that the number of cards in each pile is still five and the sum of the numbers in each pile are all equal.
If we connect two unit squares side by side, and mark several dots in either square, we get a domino. If we can only have 0, 1, 2, 3, 4, 5 or 6 dots in each square, there are just twenty-eight different dominoes.
It is known that there are two ways to place a complete domino set of 28 dominoes in the below diagram. However, the sides of the dominoes have been removed and the spots have been replaced by numbers.
Which option among (A) - (E) is a possible correct position of the following domino?
In a student camp there are 280 students, where 40% are boys. A school bus brought more students, which contained an equal number of boys and girls, to the camp. If the percentage of boys in the camp is now increased to 42%, what is the total number of students that were on the bus?
In a triangle, we draw some segments that are parallel to the base, which divide the other sides into 10 equal parts, as shown in the diagram below. If the area of this triangle is 1000 cm$^2$, what is the total area, in cm$^2$, of the shaded regions?
