Interpreting at least and at most. Game on.

Interpreting at least and at most is a grade 7 math skill aligned to Common Core standard 7.EE.B.4.b. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 interpreting at least and at most problems our math games drill.

CCSS 7.EE.B.4.b10 questions in the bank
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Warm-upeasy

A shipping company accepts a package only if its mass is at least 2.502.50 kilograms. A package has a mass of 2.152.15 kilograms. What is the minimum increase needed in the package's mass, in kilograms, so that it can be accepted?

The mass must be at least 2.502.50 kilograms. The minimum increase is 2.50−2.15=0.35.2.50 - 2.15 = 0.35\textsf{.}

Mid-gameeasy

A diving board may be used only when the pool depth is at least 10.010.0 feet. The water is currently 8.48.4 feet deep. What is the minimum increase needed in the water depth, in feet, so that the diving board may be used?

The depth must be at least 10.010.0 feet. The minimum increase is 10.0−8.4=1.6.10.0 - 8.4 = 1.6\textsf{.}

Mid-gameeasy

A phone battery must be charged to at least 80.0%80.0\% before a software update can begin. The battery is currently at 76.4%76.4\%. What is the minimum increase needed in the battery charge, in percentage points, so that the update can begin?

The charge must reach at least 80.0%80.0\%. The minimum increase is 80.0−76.4=3.6.80.0 - 76.4 = 3.6\textsf{.}

Mid-gameeasy

A ride at a fair requires a height of at least 48.048.0 inches. A child is 45.545.5 inches tall. What is the minimum increase needed in the child's height, in inches, so that the child meets the requirement?

The height must be at least 48.048.0 inches. The minimum increase is 48.0−45.5=2.5.48.0 - 45.5 = 2.5\textsf{.}

Mid-gameeasy

Airline rules allow a carry-on bag to weigh at most 50.050.0 pounds. A bag weighs 52.852.8 pounds. What is the minimum decrease needed in the bag's weight, in pounds, so that it meets the rule?

The bag must weigh at most 50.050.0 pounds. The minimum decrease is 52.8−50.0=2.8.52.8 - 50.0 = 2.8\textsf{.}

Mid-gameeasy

A band competition allows an instrument case's length, width, and height to total at most 62.062.0 inches. A case measures 65.465.4 inches in total. What is the minimum decrease needed in that total, in inches, so that the case meets the rule?

The total must be at most 62.062.0 inches. The minimum decrease is 65.4−62.0=3.4.65.4 - 62.0 = 3.4\textsf{.}

Mid-gameeasy

A library reading room must keep noise at a level of at most 65.065.0 decibels. A meter shows 68.568.5 decibels. What is the minimum decrease needed in the noise level, in decibels, so that the room meets the rule?

The noise level must be at most 65.065.0 decibels. The minimum decrease is 68.5−65.0=3.5.68.5 - 65.0 = 3.5\textsf{.}

Buzzer beatereasy

In a school zone, a car must travel at a speed of at most 35.035.0 miles per hour. A car is traveling at 38.238.2 miles per hour. What is the minimum decrease needed in the car's speed, in miles per hour, so that it meets the speed limit?

The speed must be at most 35.035.0 miles per hour. The minimum decrease is 38.2−35.0=3.2.38.2 - 35.0 = 3.2\textsf{.}

Overtime

2 more. Played, not assigned.

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