Multiple choice math test covering patterns and basic arithmetic.

Let's solve each question step by step and explain the reasoning.

---

1. Football players came out of the tunnel in the pattern shown below.

Jerseys: 12, 16, 20, __, 28

What number belongs on the blank jersey?

We look at the pattern:
- 12 → 16: +4
- 16 → 20: +4
- So, next should be: 20 + 4 = 24
- Then 24 + 4 = 28 → matches!

✔ So, the missing number is 24

Answer: C) 24

---

2. What are the next three numbers in this pattern?

Sequence: 6, 5, 3, 1, 6, 5, 3, 1, 6, 5, 3

Look at the repeating group:
- The sequence repeats every 4 numbers: 6, 5, 3, 1
- After "6, 5, 3", the next number should be 1, then it would repeat again.

So after "6, 5, 3" comes 1, then 6, then 5, etc.

But the sequence ends with: ..., 6, 5, 3
So the next three numbers are: 1, 6, 5

Wait — let’s check:

Pattern:
6, 5, 3, 1, (repeat) 6, 5, 3, 1, (repeat) 6, 5, 3 → so next is 1, then 6, then 5

✔ So next three numbers: 1, 6, 5

Answer: D) 1, 6, 5

---

3. What rule can be used to find the number of legs on 7 grasshoppers?

Table:
| Number of Grasshoppers | 3 | 5 | 7 | 9 |
|------------------------|---|---|---|---|
| Number of Legs | 18| 30| ? | 54 |

Let’s find the pattern:

- 3 grasshoppers → 18 legs → 18 ÷ 3 = 6 legs per grasshopper
- 5 grasshoppers → 30 legs → 30 ÷ 5 = 6 legs per grasshopper
- 9 grasshoppers → 54 legs → 54 ÷ 9 = 6 legs per grasshopper

So each grasshopper has 6 legs.

Therefore, for 7 grasshoppers: 7 × 6 = 42 legs

The rule is: Multiply by 6

✔ Answer: D) Multiply by 6

---

4. Kayla is cutting ribbon to go around cards. Each card is shaped like a triangle with all sides the same length. How many inches of ribbon does she need for a card with each side 7 inches long?

This is asking for the perimeter of an equilateral triangle.

Perimeter = sum of all sides = 3 × side length

From the table:
- Side 2 → Ribbon = 6 → 3×2 = 6 ✔
- Side 3 → 3×3 = 9 ✔
- Side 4 → 3×4 = 12 ✔
- So for side 7 → 3 × 7 = 21 inches

✔ Answer: C) 21

---

5. Coach Kim needs to form teams that all have the same number of players.

Table:
| Number of Players | 24 | 32 | 40 | 72 |
|--------------------|----|----|----|----|
| Number of Teams | 3 | 4 | ? | 9 |

We need to find the rule that relates players to teams.

Try to find how many players per team:

- 24 players → 3 teams → 24 ÷ 3 = 8 players per team
- 32 players → 4 teams → 32 ÷ 4 = 8 players per team
- 72 players → 9 teams → 72 ÷ 9 = 8 players per team

So the rule is: Divide number of players by 8 to get number of teams.

For 40 players: 40 ÷ 8 = 5 teams

✔ Rule: Divide by 8

Answer: A) Divide by 8

---

✔ Final Answers:

1. C) 24
2. D) 1, 6, 5
3. D) Multiply by 6
4. C) 21
5. A) Divide by 8

Let me know if you'd like these explained in simpler terms or visualized!