This worksheet challenges students to solve six real-world math problems involving fractions, number patterns, and statistics.

Sure! Let’s go through each problem one by one and solve them with clear explanations.

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1. 4 friends are eating personal pan pizzas. Jane has 3/4 left, Jill has 3/5 left, Cindy has 2/3 left and Jeff has 2/5 left. Who has the most amount of pizza left?

We need to compare the fractions:
- Jane: 3/4
- Jill: 3/5
- Cindy: 2/3
- Jeff: 2/5

To compare fractions, we can convert them to decimals or find a common denominator.

✔ Decimal method (easiest):
- 3/4 = 0.75
- 3/5 = 0.6
- 2/3 ≈ 0.666...
- 2/5 = 0.4

Now compare:
0.75 > 0.666... > 0.6 > 0.4

✔ Answer: Jane has the most pizza left (3/4).

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2. What is the next number in the following pattern: 320, 160, 80, 40, _______

Look at the pattern:
320 → 160 → 80 → 40

Each number is being halved:
320 ÷ 2 = 160
160 ÷ 2 = 80
80 ÷ 2 = 40
So, 40 ÷ 2 = 20

✔ Answer: 20

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3. Here are the number of tries your friends took to get a strike when they went bowling: 1, 2, 6, 4, 5, 2, 3, 6, 2, 3

We are asked for:
- Mode
- Median
- Mean

First, let’s list the numbers in order:
1, 2, 2, 2, 3, 3, 4, 5, 6, 6

✔ Mode = most frequent number
→ 2 appears three times (more than any other)
→ Mode = 2

✔ Median = middle number in ordered list
There are 10 numbers → median is average of 5th and 6th numbers
5th = 3, 6th = 3 → (3 + 3)/2 = 3
→ Median = 3

✔ Mean = sum of all numbers ÷ count
Sum = 1+2+2+2+3+3+4+5+6+6 =
Let’s add:
1 + 2+2+2 = 7
3+3 = 6 → total so far 13
4+5 = 9 → total 22
6+6 = 12 → total = 34
Count = 10
Mean = 34 ÷ 10 = 3.4

✔ Answers:
- Mode = 2
- Median = 3
- Mean = 3.4

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4. A spinner is divided into 16 sections. 3 sections are red, 6 are blue, 5 are purple and 2 are orange. If you spin the spinner once, what is the probability that you will land on blue?

Total sections = 16
Blue sections = 6

Probability = favorable outcomes / total outcomes
= 6 / 16

Simplify: divide numerator and denominator by 2 → 3/8

✔ Answer: 3/8

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5. If you leave the tap on at home, 750 quarts will run every 50 seconds. How long will it take to drain 660 quarts?

We can set up a proportion:

750 quarts → 50 seconds
660 quarts → ? seconds

Let x = time in seconds for 660 quarts

Set up:
750 / 50 = 660 / x
OR better:
x / 660 = 50 / 750

Cross-multiply:
750x = 660 × 50
750x = 33,000
x = 33,000 ÷ 750

Divide:
33,000 ÷ 750 = ?

Let’s simplify:
Divide numerator and denominator by 10: 3,300 ÷ 75
75 × 44 = 3,300 → so x = 44

✔ Answer: 44 seconds

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6. Mount Everest is 29,028 feet high. Mount Kilimanjaro is 19,340 feet high. How much taller is Mount Everest?

Subtract:
29,028 - 19,340 = ?

Let’s compute:

29,028
-19,340
________
Start from right:
8 - 0 = 8
2 - 4 → borrow → 12 - 4 = 8, carry over
(0 becomes 9 after borrow) → 9 - 3 = 6
(9 becomes 8 after borrow) → 8 - 9 → borrow → 18 - 9 = 9
(2 becomes 1 after borrow) → 1 - 1 = 0

Wait — let’s do it step by step:

29,028
-19,340
________

Units: 8 - 0 = 8
Tens: 2 - 4 → can’t, borrow from hundreds. But hundreds is 0 → borrow from thousands.

Thousands: 9 → becomes 8, hundreds become 10 → then tens: 10 + 2 = 12 → 12 - 4 = 8
Hundreds: now 9 (after borrow) → 9 - 3 = 6
Thousands: 8 - 9 → can’t, borrow from ten-thousands: 2 becomes 1, thousands become 18 → 18 - 9 = 9
Ten-thousands: 1 - 1 = 0

So result: 9,688

✔ Answer: 9,688 feet

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## ✔ Final Answers Summary:

1. Jane has the most pizza left.
2. Next number: 20
3. Mode = 2, Median = 3, Mean = 3.4
4. Probability of landing on blue: 3/8
5. Time to drain 660 quarts: 44 seconds
6. Mount Everest is 9,688 feet taller than Mount Kilimanjaro.

Let me know if you’d like these explained differently or need visuals!