# Hit the Target

Use 9, 2, 6, and 7 to hit the target 45. Four students come up with these possible solutions in the 90 seconds allotted.

1. (9+7) x 2 +11 = 43 (scores 8 points)

2. 7 * 7 + 9 - 11 = 47 (scores 8 points)

3. (11+7) x 2 + 9 = 45 (hits the target and scores 10 points)

4. T(9) * sqrt(11-7)/2 = 45, where T(n) indicates the nth triangular number (hits the target and scores 10 points)

## 24 Game

Use 5, 3, 6, 6 to make exactly 24. Four students come up with these possible solutions in the 90 seconds allotted.

1. (6+6) x (5-3) = 24

2. 5! / (3! - 6/6) = 24

3. sqrt(6 x 6) x 5 - 3! = 24

4. (6+3-5) * 6 = 24

All of these solutions score 10 points. ​

## SMASH

1. Your teammate sprints and gets the numbers 4, 7, and 2. Your team submits 4 x 2 - 7 = 1.

2. Then the teammate gets Ace, 3, and 9. You solve to get 9/3-1 = 2.

3. Next, you get 8, 8, 2; your team is stuck so you sprint back to get a new set of numbers.

4. You get 6, 10, 8, and find that (10+8)/6 = 3 works.

5. Repeat this process until time runs out!