Question 1

Digits 2, 5, 7, 8 are placed in the boxes so that the sum is as large as possible. What is the sum?

Question 2

Digits 0, 2, 3, 8 are placed in the boxes so that the sum is as small as possible. What is the sum?

Question 3

Digits 3, 5, 7, 8 are placed in the boxes so that the difference is as large as possible. What is the difference?

Question 4

Digits 2, 4, 5, 7 are placed in the boxes so that the difference is positive and as small as possible. What is the difference?

Question 5

Digits 2, 5, 6, 8 are placed in the boxes so that the difference is as large as possible. What is the difference?

Answer Keys

Question 1

In the following drawing, we see a string with 4 beads.

.

Which of the strings below is the same string?

?

Solution 1

Solution 2

Solution 3

Solution 4

Question 2

In the following drawing, we see a string with 4 beads.

Which of the strings below is the same string?

?

?

Solution

Question 3

In the following drawing, we see a string with 4 beads.

Which of the strings below is the same string?

Solution

Question 4

In the following drawing, we see a string with 4 beads.

Which of the strings below is the same string?

Question 5

In the following drawing, we see a string with 4 beads.

Which of the strings below is the same string?

?

Solution 1

Solution 2

Answer Keys

Question 1

Betty attached five stickers with the digits 1, 2, 3, 4, 5 in some order on a sheet of paper as shown in the picture.

In what order could Betty have put the stickers?

A 3,4,5,2,1
B 1,5,4,3,2
C 2,3,5,4,1
D 3,5,4,2,1
E 2,3,5,4,1

Solution 1

Solution 2

Question 2

Betty attached five stickers with the digits 1, 2, 3, 4, 5 in some order on a sheet of paper as shown in the picture.

In what order could Betty have put the stickers?

A 1,4,5,3,2
B 1,2,5,4,3
C 1,2,3,4,5
D 3,4,5,2,1
E 1,3,4,5,2

Question 3

Betty attached five stickers with the digits 1, 2, 3, 4, 5 in some order on a sheet of paper as shown in the picture.

In what order could Betty have put the stickers?

A 1,3,4,5,2
B 4,5,3,2,1
C 5,4,3,2,1
D 1,3,4,5,2
E 3,4,5,2,1

Question 4

Betty attached five stickers with the digits 1, 2, 3, 4, 5 in some order on a sheet of paper as shown in the picture.

In what order could Betty have put the stickers?

A 1,2,4,5,3
B 2,4,5,3,1
C 1,2,4,5,3
D 1,2,5,4,3
E 3,4,5,2,1

Solution 1

Solution 2

Solution 3

Question 5

Betty attached five stickers with the digits 1, 2, 3, 4, 5 in some order on a sheet of paper as shown in the picture.

In what order could Betty have put the stickers?

A 2,3,4,5,1
B 3,4,5,2,1
C 2,3,4,5,1
D 1,2,3,5,4
E 4,5,3,2,1

Answer Keys

Question 1

There are 10 cookies in the grid below. What is the least number of cookies to remove to make the number of cookies in each row and each column less than or equal to 2?

Question 2

There are 11 cookies in the grid below. What is the least number of cookies to remove to make the number of cookies in each row and each column less than or equal to 2?

Question 3

There are 10 cookies in the grid below. What is the least number of cookies to remove to make the number of cookies in each row and each column less than or equal to 2?

Question 4

There are 10 cookies in the grid below. What is the least number of cookies to remove to make the number of cookies in each row and each column less than or equal to 2?

Question 5

There are 10 cookies in the grid below. What is the least number of cookies to remove to make the number of cookies in each row and each column less than or equal to 2?

Answer Keys

Question 1

There are 5 large boxes. In each large box, there are 2 medium-sized boxes. In each medium box, There is 1 small box. How many boxes are there in total?

Question 2

There is 1 large box. In each large box, there are 3 medium-sized boxes. In each medium box, There is 1 small box. How many boxes are there in total?

Question 3

There are 2 large boxes. In each large box, there are 4 medium-sized boxes. In each medium box, there are 3 small boxes. How many boxes are there in total?

Question 4

There are 4 large boxes. In each large box, there are 2 medium-sized boxes. In each medium box, There is 1 small box. How many boxes are there in total?

Question 5

There are 3 large boxes. In each large box, there are 5 medium-sized boxes. In each medium box, there are 4 small boxes. How many boxes are there in total?

Answer Keys

Question 1

The wall is damaged. How many bricks are missing in the damaged wall?

Question 2

The chessboard is damaged. How many white squares are missing in the damaged chessboard?

Question 3

The chessboard is damaged. How many white squares are missing in the damaged chessboard?

Question 4

The chessboard is damaged. How many white squares are missing in the damaged chessboard?

Question 5

The wall is damaged. How many bricks are missing in the damaged wall?

Answer Keys

Question 1

A cube is painted red, yellow, green, blue, orange, and pink on its 6 faces. Below are 2 views of the cube when you look at it from different positions. What color is opposite blue? If it cannot be determined, answer "Cannot be determined".

Question 2

A cube is painted red, yellow, green, blue, orange, and pink on its 6 faces. Below are 2 views of the cube when you look at it from different positions. What color is opposite green? If it cannot be determined, answer "Cannot be determined".

Question 3

A cube is painted red, yellow, green, blue, orange, and pink on its 6 faces. Below are 2 views of the cube when you look at it from different positions. What color is opposite green? If it cannot be determined, answer "Cannot be determined".

Question 4

A cube is painted red, yellow, green, blue, orange, and pink on its 6 faces. Below are 2 views of the cube when you look at it from different positions. What color is opposite pink? If it cannot be determined, answer "Cannot be determined".

Question 5

A cube is painted red, yellow, green, blue, orange, and pink on its 6 faces. Below are 2 views of the cube when you look at it from different positions. What color is opposite orange? If it cannot be determined, answer "Cannot be determined".

Answer Keys