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Multi-Step Problems
100

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

100

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

100
  1. Sprint times (seconds):
    3/2, 7/4, 5/4, 3/2, 9/4, 5/4

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

100
  1. Without multiplying, order from least to greatest:
  • 8 × 3/4
  • 8 × 5/3
  • 8 × 1/2
  • 8 × 7/6

least → Greatest:
8×1/2, 8×3/4, 8×7/6, 8×5/3

100
  1. Maclen trains for 2 hours.
  • 3/8 on shooting
  • 1/4 on passing
  • 1/6 on conditioning

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

200

A football field is about 0.109 kilometers long.
Maclen runs the length 12 times.
a) Total distance in meters

1308 m

200

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

200

  1. 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




200

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

200
  1. A drill requires running 1500 meters.
    Maclen runs:
  • 2/5 at full speed
  • 3/10 at medium speed
  • the rest walking


2/5 + 3/10 = 4/10 + 3/10 = 7/10
Remaining = 3/10
Distance walking: 1500 × 3/10 = 450 meters

300

Maclen drinks 0.85 liters of water each practice for 6 days.
How many milliliters total did he drink?

1380 milloliters

300

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

300

Who is the Lakers all time leader in assists?

Magic Johnson

300

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

300
  1. Maclen’s weekly training distances (in km):
    Monday: 2 1/2
    Tuesday: 1.75
    Wednesday: 3/2
    Thursday: 2.2

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

400

A water bottle holds 1.2 liters.
How many milliliters is that?

5100 milileters


400

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

400

Which Lakers coach led the team to multiple championships with both Kobe Bryant and Michael Jordan?

Phil Jackson

400

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

400

How many NBA championships have the Lakers won (as of recent years)?

17

500

A training track is 400 meters.
Maclen runs 3.6 kilometers.
How many laps did he run?

9 laps

500

Where does the name LAKERS  come from?

People of the lake

500

Who did the Lakers defeat in the 2020 NBA Finals?

Miami Heat

500
  1. Find a number where multiplying by 3/2 and then 2/3 does NOT change the value. Explain why.




Any number
Because (3/2 × 2/3) = 1 → no change

500

What was Kobe Bryant’s jersey numbers?

8 and 24