The People Flying over Your Head

Have you ever watched an airplane in the sky and wondered how many people are in there, and where they’re going?

If Plane #1 lands and planes are spaced to land every 10 minutes, how long until the 3rd plane lands?

• 10 minutes

• 20 minutes

• 30 minutes

• 40 minutes

Answer explanation

Solution:
Plane #2 lands 10 minutes after Plane #1, and Plane #3 lands 10 more minutes after that.
10+10=2010 + 10 = 2010+10=20 minutes after Plane #1 lands, meaning the total wait is 30 minutes.

Tags

CCSS.3.OA.A.3

If 400 flights take off during a busy hour in the morning, how many planes fly in a 2-hour stretch?

• 600

• 800

• 1,000

• 1,200

Answer explanation

Solution:
400×2=800

Tags

CCSS.6.RP.A.3B

If 7,000 people fly in the morning and twice as many fly in the afternoon, how many people fly in total?

• 14,000

• 17,000

• 21,000

• 28,000

Answer explanation

Solution:
Afternoon flyers = 7,000×2=14,000
Total flyers = 7,000+14,000=21,000

Tags

CCSS.4.OA.A.3

If there were exactly 2,500 flights and each flight carried 100 passengers, how many people flew over the ocean that whole day?

• 150,000

• 200,000

• 250,000

• 300,000

Answer explanation

Solution:
2,500×100=250,000

Tags

CCSS.5.NBT.B.5

Every day, between 2,000 and 3,000 aircraft fly across the North Atlantic. If an average of 2,500 planes fly each day, how many planes would cross the North Atlantic in a week?

• 12,500

• 14,000

• 17,500

• 20,000

Answer explanation

Solution:
2,500×7=17,500

If 2,524 flights crossed the North Atlantic in one day and 1,273 of them passed through the Shanwick OCA, what percentage of the flights went through the Shanwick OCA? (Round to the nearest whole number.)

• 47%

• 50%

• 52%

• 55%

Tags

CCSS.6.RP.A.3C

On a busy summer day, up to 1,500 flights pass through the Shanwick OCA. How many more flights pass through Shanwick OCA on a peak day compared to the 1,273 flights on the recorded day?

• 127

• 150

• 227

• 273

Answer explanation

Solution:
1,500−1,273=227

Tags

CCSS.4.OA.A.3

If an average of 2,524 flights cross the North Atlantic each day, estimate the total number of flights in a 30-day month.

• 50,000

• 65,000

• 75,720

• 80,000

Answer explanation

Solution:
2,524×30=75,720

Tags

CCSS.4.NBT.B.5

If about 80% of North Atlantic flights pass through the Shanwick OCA, and 2,500 flights cross the Atlantic daily, how many flights would pass through Shanwick OCA in a year? (Use 365 days in a year.)

• 500,000

• 730,000

• 800,000

• 850,000

Answer explanation

Solution:

2,500×0.80=2,000 (flights per day through Shanwick OCA)

2,000×365=730,000

Tags

CCSS.6.RP.A.3C

The North Atlantic airspace is divided into six Oceanic Control Areas (OCAs). If 2,524 flights crossed the North Atlantic in one day, and each OCA controlled an equal number of flights, how many flights would each OCA control? (Round to the nearest whole number if necessary.)

Mathematical Equivalence

ON

Answer explanation

Since the airspace is divided into 6 OCAs, we calculate:

2,524÷6=420.67

Round to the nearest whole number:
Since 420.67 rounds to 421

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2