Sheet # 8/The Summer Olympics - Mixed Problems
Name: _____________________ Date_____________
Explain and Show Your Work.
1) Mike ran the 100 meter dash in 16 seconds. How quickly can he run 50 meters?
2) A runner can complete 8 laps in 10 minutes. How long will it take him to run 6 laps?
3) The total time in a 4-runner relay race was 84.12 seconds. What was the average time for each runner?
4) At the county javelin-throwing meet, Stacy's longest throw was 20.69 m, Mary's was 20.78 m, and Tasha's was 21.52 m. Which was the longest throw?
5) Tim wants to do at least 250 push-ups a week to get in shape. If he does 43 push-ups a day, will he reach his goal?
6) Cathy swam for 27 seconds. How much less than 1 minute was this?
7) Bill's best long jump was 4.3 m. Bob's best jump was 3.9 m . How many centimeters farther did Bill jump than Bob?
8) On five consecutive days, Tim swam a lap in 1.32, 1.28, 1.20 and 1.16 minutes. If he follows this pattern, what will his time be on the sixth day?
9) Kelly is training for the 5000 meter race. The track she uses is circular with a radius of 50.0 m. How many times does she need to go around this track to run 5000 m?
10) The Olympic record for the 1000 m race used to be 1 minute 25 seconds. The new record is 0.9 times of the old record. What is the new time?
11) In the Olympic Games, the marathon race is approximately 42 km. What is this measure in meters?
12) The distance across a river is 4.6 km meters.To swim the same distance, how many times would Jan have to swim the length of 50 m pool?
13) Jose and Maria were each given $1000 dollars to spend at the Sydney Olympic in Australia. When they came home, Jose had $12.34 left and Maria had $7.23 left. Who spent more money and how much more?
14) Sharon jumped 5.43 m on her first long jump of the competition. She jumped 6.07 on her second jump. How much longer was Sharon's second jump than her first?
15) Mary's time for the 100-meter dash was 21 seconds. Beth's time was 22.26 seconds. How much longer did Beth take?
Answers for Sheet 8
1) 8 seconds
2) (10/8)*6 = 7.5 minutes
3) 84.12s/4runners = 21.03 seconds per runner
4) Tasha's
5) 43pushups*7days = 301 pushups
6) 60s-27s = 33s
7) 430cm-390cm = 40cm
8) 1.04 minutes (Pattern: subtract .04, then .08,
then .04, then .08, etc).
9) C=2*(3.14159)*50 = 314.159
So to run 5000 m: 5000m/314.159 = 15.916 times.
Going around the track 16 times will be enough.
10) (85s)*(.9) = 76.5seconds, or 1 min 16.5 sec
11) 42,000
12) 4600/50 = 92 times
13) Maria spent $5.11 more than Jose
14) 6.07m-5.43m = .64 m
15) 1.26s