PK 2019 Q4
4. How many different totals can be obtained by rolling three standard dice and adding up the scores?
- A 14
- B 15
- C 16
- D 17
- E 18
Pink Kangaroo 2019, Question 4. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: C 16
The smallest total that can be achieved is 1 + 1 + 1 = 3, and the greatest is 6 + 6 + 6 = 18. Every integer total in between can be obtained, so there are 16 possibilities.
Solution © UK Mathematics Trust, from the PK 2019 solutions.