Five different awards are to be given to three students. Each student will Five different awards are to be given to three students. Each student will receive at least one award. In how many different

When a positive integer N is fed into a machine, the output is a number When a positive integer N is fed into a machine, the output is a number calculated according to the rule shown below. For exampl

A game board consists of 64 squares that alternate in color between black and white A game board consists of 64 squares that alternate in color between black and white. The figure below shows square P

A scientist walking through a forest recorded as integers the heights of 5 trees standing A scientist walking through a forest recorded as integers the heights of 5 trees standing in a row. She observ

A number is called flippy if its digits alternate between two distinct digits A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, bu

Rectangle ABCD is inscribed in a semicircle with diameter FE Rectangle ABCD is inscribed in a semicircle with diameter FE, as shown in the figure. Let DA=16, and let FD=AE=9. What is the area of ABCD?

How many factors of 2020 have more than 3 factors? (As an example How many factors of 2020 have more than 3 factors? (As an example, 12 has 6 factors, namely 1, 2, 3, 4, 6, and 12.) (A) 6 (B) 7 (C) 8

Each of the points A, B, C, D, E, and F in the figure below represents a different digit from Each of the points A, B, C, D, E, and F in the figure below represents a different digit from 1 to 6. Each

Suppose 15% of x equals 20% of y. What percentage of x is y Suppose 15% of x equals 20% of y. What percentage of x is y? (A) 5 (B) 35 (C) 75 (D) 13313 (E) 300 answer：C

There are 20 cities in the County of Newton. Their populations are shown in the bar chart below There are 20 cities in the County of Newton. Their populations are shown in the bar chart below. The ave

Jamal has a drawer containing 6 green socks, 18 purple socks, and 12 orange socks Jamal has a drawer containing 6 green socks, 18 purple socks, and 12 orange socks. After adding more purple socks, Jam

For positive integer n, the factorial notation n! represents the product of the integers For positive integer n, the factorial notation n! represents the product of the integers form n to 1. (For exa

After school, Maya and Naomi headed to the beach, 6 miles away After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their

Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf, b

Akash's birthday cake is in the form of a 4×4×4 inch cube Akash's birthday cake is in the form of a 4×4×4 inch cube. The cake has icing on the top and the four side faces, an

Ricardo has 2020 coins, some of which are pennies (1-cent coins) and the rest Ricardo has 2020 coins, some of which are pennies (1-cent coins) and the rest of which are nickels (5-cent coins). He has

How many integers between 2020 and 2400 have four distinct digits arranged How many integers between 2020 and 2400 have four distinct digits arranged in increasing order? (For example, 2357 is one suc

Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the

Three fourths of a pitcher is filled with pineapple juice. Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice into each of 5 cups. Wh

Three hexagons of increasing size are shown below. Suppose the dot pattern Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains

Carrie has a rectangular garden that measures 6 feet by 8 feet Carrie has a rectangular garden that measures 6 feet by 8 feet. She plants the entire garden with strawberry plants. Carrie is able to pl

Four friends do yardwork for their neighbors over the weekend Four friends do yardwork for their neighbors over the weekend, earning $15, $20, $25, and $40, respectively. They decide to split their ea

Luka is making lemonade to sell at a school fundraiser Luka is making lemonade to sell at a school fundraiser. His recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice