conversions
Maclen ran 2.75 kilometers, then sprinted an additional 450 meters.
a) What is the total distance in meters?
b) Express the total in kilometers.
3.2 km
Maclen drinks 5/6 of a bottle, then another 7/8.
a) Total amount
b) How much more than 1 whole bottle?
1 17/24
b) 17/24 more than 1
a) Find the average time
b) Find the range
c) Which times are above the average?
Values: 3/2, 7/4, 5/4, 3/2, 9/4, 5/4
a) Sum = 57/4 → average = 57/24 = 19/8 = 2 3/8
b) Range: 9/4 − 5/4 = 1
c) Above average: 9/4 only
least → Greatest:
8×1/2, 8×3/4, 8×7/6, 8×5/3
a) How much time is used?
b) How much time remains?
c) What fraction of the total time is left?
3/8 + 1/4 + 1/6 = 9/24 + 6/24 + 4/24 = 19/24
a) Time used: 2 × 19/24 = 19/12 = 1 7/12 hours
b) Time left: 2 − 1 7/12 = 5/12 hour
c) Fraction left: 5/24
A football field is about 0.109 kilometers long.
Maclen runs the length 12 times.
a) Total distance in meters
1308 m
Maclen practices for 2 3/4 hours.
He spends 1 2/3 hours on drills.
How much time remains?
13/12 = 1 1/12 hours
sprint times (seconds):
3/2, 7/4, 5/4, 3/2, 9/4, 5/4
Maclen improves each time by 1/5 second.
What is the new average?
New average: 19/8 + 1/5 = 95/40 + 8/40 = 103/40 = 2 23/40
Maclen lifts 30 lbs.
He increases weight by 4/3, then decreases it by 3/4.
What is the final weight?
30 × 4/3 = 40
40 × 3/4 = 30 lbs
2/5 + 3/10 = 4/10 + 3/10 = 7/10
Remaining = 3/10
Distance walking: 1500 × 3/10 = 450 meters
Maclen drinks 0.85 liters of water each practice for 6 days.
How many milliliters total did he drink?
1380 milloliters
Maclen completes 3/5 of his workout in the morning and 4/9 in the afternoon.
Did he complete more than one full workout? Prove it.
47/45 = 1 2/45
Who is the Lakers all time leader in assists?
Magic Johnson
True or False (justify):
a) Multiplying by 1.01 always increases a number slightly
b) Multiplying by 0.99 always decreases a number slightly
true
true
a) Total distance for the week
b) Average daily distance
c) If his goal is 10 km, did he meet it? By how much?
Total:
2 1/2 = 2.5
1.75
3/2 = 1.5
2.2
Sum = 7.95 km
b) Average: 7.95 ÷ 4 = 1.9875 km
c) Goal 10 km → short by:
10 − 7.95 = 2.05 km
A water bottle holds 1.2 liters.
How many milliliters is that?
5100 milileters
A game lasts 2 1/2 hours.
Maclen plays 3/4 of the first half and 2/3 of the second half.
How much total time did he play?
85/48 = 1 37/48 hours
Which Lakers coach led the team to multiple championships with both Kobe Bryant and Michael Jordan?
Phil Jackson
Maclen runs 5 miles. The next day he runs 1.2 times that distance.
The third day he runs 0.8 times the second day.
What is the total distance over 3 days?
Day 1: 5
Day 2: 5 × 1.2 = 6
Day 3: 6 × 0.8 = 4.8
Total = 15.8 miles
How many NBA championships have the Lakers won (as of recent years)?
17
A training track is 400 meters.
Maclen runs 3.6 kilometers.
How many laps did he run?
9 laps
Where does the name LAKERS come from?
People of the lake
Who did the Lakers defeat in the 2020 NBA Finals?
Miami Heat
Any number
Because (3/2 × 2/3) = 1 → no change
What was Kobe Bryant’s jersey numbers?
8 and 24