A very round number is a positive integer that has exactly one nonzero digit. How many integers less than one billion are very round numbers?

The Population Reference Bureau reported a net gain of 155 people on Earth each minute. At this rate, how many more people are there on Earth every day?

Notice: Because Summer Clouds isn't active in this week, so I will post some questions replace her in a few days. Thank you very much.

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Question: A shift consists of rotating a two-digit number 90 degrees clockwise and then exchanging the position of the two digits. How many shifts must be performed before the number 19 returns to its original orientation?

Seven contestants enter a drawing that begins with 100 balls numbered 1 through 100 in a box. Each contestant randomly selects a ball without replacement. The two contestants who select balls with the two highest numbers each will win a cash prize. The first six contestants select balls numbered 83, 5, 44, 67, 21 and 30. What is the probability that the last contestant will win a cash prize? Express your answer as a common fraction.

An item with an original price of d dollars has its price increased by x percent in April and then decreased by x percent in May. The resulting price is 4 percent less than the original price. What is the value of x?

The length of a rectangular sports field is three times its width. If the perimeter of the field is 880 meters, what is the area of the field?

On a number line, what number is two-thirds of the distance from one-half to 2.25? Express your answer as a common fraction.

What is the radius of a circle with a circumference measuring 24π cm?

How many 4-digit palindromes contain both the digits 1 and 2?

What is the least possible sum of the digits displaying the time on a 12-hour digital clock?

One-half of three-fourths of a number is 20 more than two-fifths of the same number. What is the number?

Ash’s secret number is a factor of 72. The secret number is neither prime nor a multiple of 3. What is the sum of all possible values of Ash’s secret number?

If 3x + 155 = 272, then what is the value of 3x + 160?

What is the maximum number of non-overlapping regions that can be determined by three lines in a plane?

On the first five math quizzes of the school year, Maurice’s scores were 80, 84, 99, 92 and 100. After the sixth quiz, Maurice’s median score for all six quizzes was 90. What was Maurice’s score on the sixth quiz?

Lily is going to the movies with Abby, Bea and Jaclyn. Abby wants to sit at the end of a row, and Bea only cares that she is seated next to Jaclyn. In how many different ways can the girls be seated in a single row that has only four seats?

Vera’s favorite coffee blend costs $1.32 per ounce, including tax. How much will it cost Jorge to buy Vera one and a half pounds of her favorite coffee?

What is the sum of the degree measures of the interior angles of a regular octagon?

Vicki and Candace start a race at the same time. Vicki finishes in 28 minutes 47 seconds. Candace finishes in 29 minutes 46 seconds. How many seconds ahead of Candace does Vicki finish?

If Franco types MATHCOUNTS 50 times in total, how many more consonants does he type than vowels?