Number and Quantity

A community garden plot covers 5/6 of an acre. Maya plants tomatoes on 2/5 of the plot. What fraction of an acre is planted with tomatoes?

At 6 a.m. the temperature in a mountain town was −7°F. By noon it had risen 15 degrees. By midnight it had fallen 11 degrees from the noon reading. What was the temperature at midnight?

A carpenter cuts a board that is 8 1/4 feet long into pieces that are each 1 3/8 feet long, with no wood left over. How many pieces does she get?

A mural crew mixes blue, yellow, and white paint in the ratio 2 : 3 : 5 by volume. They need 30 quarts of the mixture. How many quarts of yellow paint do they need?

On a trail map, 3/4 inch represents 12 miles. Two campsites are 2 1/2 inches apart on the map. What is the actual distance between the campsites?

Leo makes 24 cups of punch by mixing juice and soda in the ratio 5 : 3. How many cups of juice must he add so that the ratio of juice to soda becomes 2 : 1?

The price of a bicycle drops from $250 to $205. By what percent did the price decrease?

A coat is on sale for 40% off its original price. At the register, the store takes an additional 25% off the sale price. The customer pays what percent of the original price?

After a 15% raise, a teacher’s annual salary is $41,400. What was the salary, in dollars, before the raise?

A cyclist rides 18 miles in 1 hour 12 minutes. What is her average speed?

A car travels 28 miles per gallon of gas, and gas costs $3.50 per gallon. What is the cost of the gas for a 182-mile trip?

A tank holds 2,400 cubic feet of water. Pump A removes 15 cubic feet per minute and pump B removes 25 cubic feet per minute. If both pumps run together, how many minutes will it take to empty the full tank?

Which digit of the number 30,516.0874 is in the thousandths place?

Which list shows 0.35, 3/8, 0.305, and 0.3 in order from least to greatest?

Which of the following numbers are greater than 0.6 and less than 0.65? Select all that apply.

Bus Route 4 leaves the station every 12 minutes and Bus Route 9 leaves every 18 minutes. Both leave the station together at 8:00 a.m. When is the next time both routes leave together?

Which of the following numbers are prime? Select all that apply.

A whole number n is even and is divisible by 9. Which of the following must also be a factor of n?

Consider the statement “For any two positive numbers, their product is greater than each of the two numbers.” Which pair of numbers is a counterexample to the statement?

Consider the statement “If a whole number is divisible by both 4 and 6, then it is divisible by 24.” Which of the following numbers are counterexamples to the statement? Select all that apply.

Rosa buys 3 notebooks for $2.49 each and a backpack for $18.75. She has a coupon for $5 off any order over $50. There is no sales tax. She pays with two $20 bills. How much change should she get?

A school is setting up a banquet for 75 guests. Each table seats 6 guests, and 2 more tables are needed for the food. What is the least number of tables the school needs?

A runner completes 12 laps around a 400-meter track. How many kilometers does she run?

A faucet leaks 6 milliliters of water every 10 seconds. At this rate, how many liters of water leak in one day (24 hours)?