Understanding Ratios and Rates

Front

Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.

Back

5:7

Answer explanation

The ratio of Ella's balloons (5) to Taylor's balloons (7) is expressed as 5:7. This means for every 5 balloons Ella has, Taylor has 7, making 5:7 the correct choice.

Tags

CCSS.6.RP.A.1

Front

Ratio

Back

Is a comparison of two quantities

Answer explanation

A ratio is fundamentally a comparison of two quantities, showing the relative size of one quantity to another. This makes the first answer choice correct, as it accurately defines what a ratio is.

Tags

CCSS.6.RP.A.1

Front

What is the ratio of triangles to squares?

Back

4:3

Answer explanation

To find the ratio of triangles to squares, we compare their counts. If there are 4 triangles and 3 squares, the ratio is 4:3. Thus, the correct answer is 4:3.

Tags

CCSS.6.RP.A.1

Front

What is the probability of spinning green?

Back

1/4

Answer explanation

The probability of spinning green is determined by the ratio of green sections to the total sections. If there are 1 green section out of 4 total sections, the probability is 1/4, making this the correct choice.

Tags

CCSS.6.RP.A.1

Front

Estimate the height of the actual Gateway Arch if a 2 ft. tall model has a scale of 3 in : 78.75 ft.

Back

630 ft

Answer explanation

To find the actual height of the arch, use the scale: 3 in corresponds to 78.75 ft. The model is 2 ft tall, which is 24 in. Set up a proportion: 24 in / 3 in = x ft / 78.75 ft. Solving gives x = 630 ft, the height of the actual arch.

Tags

CCSS.6.RP.A.1

Front

Aaron jogged 10 miles in 2 hours. At this rate, how many miles could he jog in 4 hours?

Back

20 miles

Answer explanation

Aaron jogged 10 miles in 2 hours, which means he jogs at a rate of 5 miles per hour. In 4 hours, he could jog 5 miles/hour * 4 hours = 20 miles. Therefore, the correct answer is 20 miles.

Tags

CCSS.6.RP.A.2

Front

8 feet = __ inches

Back

96

Answer explanation

To convert feet to inches, multiply by 12. Therefore, 8 feet x 12 inches/foot = 96 inches. The correct answer is 96.

Tags

CCSS.6.RP.A.2

Front

Fourteen boxes of candles were sold for $91.00. What is the cost of 1 box?

Back

$6.50

Answer explanation

To find the cost of 1 box, divide the total cost by the number of boxes: $91.00 ÷ 14 = $6.50. Therefore, the cost of 1 box is $6.50.

Tags

CCSS.6.RP.A.2

Front

Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?

Back

$6.80 per hour

Answer explanation

To find Alycia's unit rate, divide her total earnings by the hours worked: $20.40 ÷ 3 hours = $6.80 per hour. Thus, the correct answer is $6.80 per hour.

Tags

CCSS.6.RP.A.2

Front

You drove your new car on the open highway using cruise control, which keeps a steady speed. After 120 minutes, you traveled 140 miles. At what speed did you set the cruise control?

Back

70 miles per hour

Answer explanation

To find the speed, divide the distance by the time. You traveled 140 miles in 120 minutes, which is 2 hours. Thus, 140 miles ÷ 2 hours = 70 miles per hour. Therefore, the correct speed is 70 miles per hour.

Tags

CCSS.6.RP.A.2