Review Module 1, Topic 1, Lesson 1

Tameka loves to drive go carts! Driver's Delight has 3 circular tracks. Track 1 has a radius of 60 ft. Track 2 has a radius of 85 ft,, and track 3 has a radius of 110 ft. compute the circumference of all 3 tracks. Rounded to the nearest tenth.

• Track 1 376.8ft, Track 2 533.8ft, Track 3 690.8ft

• Track 1 400ft, Track 2 500ft, Track 3 700ft

• Track 1 380ft, Track 2 530ft, Track 3 690ft

• Track 1 377.0ft, Track 2 534.1ft, Track 3 691.2 ft

Answer explanation

Remember to calculate the circumference from the radius, you multiply the radius by 2 then multiply by π (3.14). The tenth is the first place behind the decimal

Drivers Delight is considering building a new track with a diameter of 150 ft. Compute the circumference of the new track.

• 471ft

• 450ft

• 942ft

• 900ft

Answer explanation

To calculate the circumference from the diameter, simply multiply 150 by 3.14 giving you 471 ft

Tameka wants to build a circular go-kart track in her backyard. If she builds a track with a 200 ft. circumference, what would be the radius of the track?

• 31.85ft

• 66.67ft

• 100ft

• 63.69ft

Answer explanation

If you are given the circumference, you have to divide it by 3.14 to get the diameter, then divide the diameter by 2 to get the radius. So, 200/3.14 gives you 63.69ft. 63.69/2 gives you 31.85ft

Tameka wants to build a circular go-kart track in her backyard. If she builds a track with a 400 ft. circumference, what would be the diameter of the track?

• 127.39ft

• 63.69ft

• 31.85ft

• none of the above

Answer explanation

To calculate the diameter from the circumference, divide the circumference by 3.14. So, 400/3.14 = 127.39

Ethan and Corinne are training for a marathon. Corrine runs 13.5 miles in 2 hours. What is her rate?

• 27 miles/hr

• 6.75 miles/hr

• 6.75 miles

• 1 hour

Answer explanation

To calculate a rate you first set up the ratio that is given, 13.5 miles/2 hours, then you divide the denominator into the numerator.

Ethan and Corinne are training for a marathon. Ethan wants to run the 26.2 miles of the marathon in 4.5 hours. At about what rate will he have to run to reach this goal (round to nearest tenth)

• 5.82 miles/hr

• 6.5 miles/hr

• 5.82 miles

• 6.5 hours

Answer explanation

Remember ratios must have units to make them make sense. In this case, the units are miles/hr (read as miles per hour)

Fifteen seventh graders were randomly selected to see how many pushups in a row they could do. Their data is as follows: 45, 40, 36, 38, 42, 48, 40, 40, 70, 45, 42, 48, 36. Determine the average (mean) of the set.

• 40

• 50

• 60

• 70

Answer explanation

To find the average of a data set, add all the numbers up and divide by the number of items in the set.

Fifteen seventh graders were randomly selected to see how many pushups in a row they could do. Their data is as follows: 45, 40, 36, 38, 42, 48, 40, 40, 70, 45, 42, 48, 36. Determine the median of the set.

• 45

• 40

• 42

• 48

Answer explanation

The median is the middle number of a data set once the numbes have been lined up from least to greatest.

Convert 4½ pounds = ________ oz

• 72 oz

• 64 oz

• 16 oz

• 32 oz

Answer explanation

There are 16 ounces in each pound, so 4.5x16 = 72 oz

Convert 22.86 cm = _________ in

• 58.06 inches

• 2.54 inches

• 9 inches

• none of the above

Answer explanation

Each inch is 2.54 cm. So when you divide the 22.86 cm by 2.54, you get 9 inches