Quantitative Reasoning

Which list shows the numbers 0.45, 3/8, 0.4, and 5/12 in order from least to greatest?

The value of √50 is between which two consecutive whole numbers?

Which of the following numbers is greatest?

Which of the following numbers is least?

How many times greater is 6 × 10⁵ than 2 × 10³?

Which whole number is closest to the value of 3√5?

Which number is between 2.5 and 3 on the number line?

Which number is greater than 0.6?

Which list shows |−7|, −|4|, −(−5), and |−2| − 5 in order from least to greatest?

If 0 < x < 1, which of the following has the greatest value?

A recipe uses 3 cups of flour for every 2 cups of milk. How many cups of milk are needed with 7.5 cups of flour?

What is 35% of 240?

The price of a concert ticket rose from $40 to $52. By what percent did the price increase?

After a 20% discount, a jacket costs $68. What was the price of the jacket before the discount?

The ratio of girls to boys in a class is 4 to 5. There are 36 students in the class. How many of the students are girls?

What value of x makes the proportion 5/8 = x/28 true?

A store raised the price of a $200 bicycle by 10%. A month later, it lowered the new price by 10%. What was the final price?

18 is 24% of what number?

A car travels 234 miles on 9 gallons of gas. At this rate, how many miles does it travel per gallon?

A cleaning solution is mixed from concentrate and water in a ratio of 1 to 6. How many ounces of concentrate are in 42 ounces of the solution?

Diego earns $14.50 an hour. Last week he worked 32 hours. How much did he earn before any deductions?

Kim is paid $16 an hour for the first 40 hours she works in a week and 1.5 times that rate for each hour over 40. How much is she paid for a week in which she works 46 hours?

A pair of headphones costs $45 before tax. The sales tax rate is 8.25%. What is the total cost, including tax, to the nearest cent?

Rosa deposits $1,200 in an account that earns 4% simple interest each year. How much interest does the account earn in 3 years?

Internet plan A costs $30 a month plus a one-time $90 setup fee. Plan B costs $45 a month with no setup fee. After how many months will the two plans have cost the same total amount?

Marcus takes home $2,800 a month. He spends 35% of it on rent and $420 on food. What percent of his take-home pay is left after rent and food?

A salesperson earns $500 a week plus a 6% commission on her sales. One week she earned $830. What were her sales that week?

The table shows the sizes and prices of four bottles of the same shampoo. Which bottle has the lowest price per ounce?

A taxi charges $3.50 to start a ride plus $2.25 for each mile. A ride cost $26. How many miles long was the ride?

A restaurant buys an oven for $18,000. Its value goes down by $1,500 each year. After how many years will the oven be worth $6,000?

The cost C, in dollars, of renting a moving truck for one day and driving it m miles is C = 45 + 0.30m. What does 0.30 represent?

A plumber charges a $75 visit fee plus $60 for each hour of work. Which expression gives the total charge, in dollars, for a job that takes h hours?

Maria has at most $120 to spend. She buys a jacket for $36 and some shirts for $14 each. Which inequality represents the number of shirts, s, she can buy?

Jamal has $150. He buys a $42 pair of shoes and spends the rest on T-shirts that cost $16 each. What is the greatest number of T-shirts he can buy?

The perimeter of a rectangle is P = 2l + 2w. Which equation gives w in terms of P and l?

Which expression is equivalent to 3(2x − 5) − 4(x − 2)?

A tank is being drained. The number of gallons of water left in the tank t minutes after draining starts is G = 480 − 12t. What does 480 represent?

The table shows some values of x and y. The relationship between x and y is linear. Which equation fits the table?

Which inequality describes all solutions of 5 − 3x > 17?

Which expression is equivalent to (12x − 8)/4 + x?