An ant is clinging to one corner of a box in the shape of a cube. The ant wants to get to the most distant corner of the box by crawling only along the edges of the cube and without ever revisiting a place it has been. How many different paths can the ant take to the most distant corner?
A certain number of fifty-cent coins is to from an equilateral triangle. The same number of fifty-cent coins can also be used to from a square. The number of fiftty-cent coins on each side of the square is 6 fewer than the number of fifty-cent coins on each side of the equilateral traingle. How many fifty-cent coins are there altogether?
Three children want to take a group photo sitting in a row. In how many ways can they arrange their sitting positions?
Answer: There are ...... ways.
Debbie keeps her marble collection in a jar. Of the 50 marbles in the jar, 15 are red, 10 are blue, 20 are green and 5 are yellow. Debbie chooses randomly 30 marbles from the jar. How many of these marbles can she expect to be red?
Answer: marbles
Rotate an equilateral triangle inscribed in a circle 40 degrees clockwise and counterclockwise, as shown in the figure below. How many triangles are there in the figure?
Fill in the circles with the numbers 1, 2, 3, 4, 5, 6 and 7. Each number can be used once without repetitions. The sum of the digits inside the circles at the four vertices of the square on the left is 15 and the sum of the digits inside the circles at the vertices of the regular pentagon on the right is 24. How many possible arrangements are there?
A Ferris wheel has 32 passenger cabins. If you are sitting in cabin 14 which is currently at the top of the wheel, what is the number of the cabin at the bottom of the wheel?
1,A circular cynlinder with a volume 81 pi.if the perimeter of the base is 6 pi,the height is ?
2,The total surface area of 2 indentical blocks which together with the volume is 1,458 units is ?
3,If one side of 6-inch ruler will be marked in inches,how many points will be in the edge including 0 and 6 inch mark?
4,Two sides of the O and P pointer that started from a vertical position as shown.Pointer O turns back the clock with a speed of 5 degrees per second and pointer P rotate clockwise at9 degrees per second.How many complete revolutions will be made when completing 335 P O complete revolution?
5,In a certain game of 50 questions,the final score calculated by subtracting tiwce the number of wrong answer from the total number of correct answers.if a player has tried all questions and get a final score of 35 ,the number of wrong answers,he has to be ...