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

Tags

CCSS.7.G.B.4

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

Tags

CCSS.7.G.B.4

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

Tags

CCSS.7.G.B.4

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

Tags

CCSS.7.G.B.4

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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)

Tags

CCSS.7.EE.B.3

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.

Tags

CCSS.6.SP.B.5C

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.

Tags

CCSS.6.SP.B.5C

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

Tags

CCSS.4.MD.A.1

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

Tags

CCSS.2.MD.A.2