Bea created a portrait using squares with the colors white, black and gray. If she does not want any of the squares of the same color to share a side, what is the minimum number of cubes she need to paint over?
2
Ten islands are connected by 12 bridges. All bridges are open for traffic now. What is the minimum number of bridges that need to be closed, so that no one can travel between island A or B?
2 pathways
One thousand balls were dropped in a giant ball drop game at a carnival. At each junction, the balls separate into two equal groups of balls. How many balls end up in ball pit Y?
750 balls
All the four digit numbers with the same digits as 2011 (ex. 0,1,1,2) are written in a row from least to greatest . What is the difference between the two numbers that are next to 2011 in this list?
891
Sandy The Snail travelled along the tiled part of a garden yesterday. If the area of each tile is , what is Sandy’s total distance in cm?
18 CM
Ayla is making different colored Jell-O squares out of a 6x3 ice tray. One third of the tray is blue and one half yellow. If the rest of the tray is red, how many red Jell-O squares will she have?
3 squares
Cinderella’s pumpkin carriage travelled 28 km to the castle in 20 minutes. What is her pumpkin carriage’s speed in km/hr?
84 km/hr
Howard bought three bottles of sunscreen. For the first bottle, he paid half of his money plus $1 more. For the second bottle, he paid half of his left over money plus $2 more. For the third bottle, he then paid half of what he has left plus $3 more. He didn’t have any more money after that. How much did Howard have before he bought sunscreen?
$34
Mary was trying to untie a knotted piece of string. Looking closely at each section (without touching), which segment did Mary not see on the string?
A
Carissa has four cards placed in this order: 2 0 1 7
Which order is not possible if you swap only two cards?
B
Donald writes down the date of the week and add the digits on a daily basis. Today is March 23rd, so he said “Today is 03.23 so I will add 0+3+2+3 = 8”.
What is the largest total he can make in this way in the course of a year?
20
Label all 8 corners of the shape in the picture with numbers 1 to 4. If both ends of a line cannot have the same number, how many times will the number 4 appear?
4 times
Caden went on a 5-day Science camp trip with his class from Monday to Friday. Every day they cover 2km more than the day before. By the end of the trip, they have covered 70km. How much distance did Caden and his class cover by Thursday?
16 KM
Omkar writes all the numbers from 1 to 20 and got a 31-digit number:
1234567891011121314151617181920. What is the biggest possible number if he removes 24 out of the 31 digits?
9781920
John has 4 strips of equally long ribbons. He sewed two together with an overlap of 10cm and made one piece that is 50cm long. If he wanted to make a 56 cm long ribbon with the other two remaining pieces, how much of an overlap should he have?
4 CM
3 green rocks, 5 yellow rocks, 7 green marbles and 2 yellow marbles are in a bag. Sebastian takes either a rock or a marble out of the bag without looking. How many pieces of rocks and marbles must he take out to have at least one rock and one marble of the same color?
13
Jay wanted to multiply a whole number by 301, but forgot to include the zero and multiplied by 31 instead. His answer was 372. What should his answer have been?
3612
Ben brought puzzle pieces that are designed to fit together with no overlaps. Which combination is not possible?
C
Okea Furniture Store is selling sofas, loveseats and chairs made from identical modular pieces as shown in picture. Including the armrests, the sofa is 220 cm wide and the loveseat is 160 cm. How wide is the chair?
100 CM
Number game: Scramble the numbers 1,2,3,4 and 5 to make a five-digit number. You can only use a number on a combination once. How many combinations can you make with the following criteria?
The first digit is divisible by one, and the first two digits make a number which is divisible by two. The first three digits make a number divisible by three, and the first four digits make a number divisible by four. All five digits make a number divisible by five.
0