Thinking Skills
Zara, Ben and Cleo each have 24 counters. They take turns: even means give that many to each of the other two…
Question 1 · Multiple choice
Question
Zara, Ben and Cleo each have 24 counters. They take turns: even means give that many to each of the other two; odd means receive that many from each. Zara spins 2. Ben spins 3. If they end with 21, 36 and 15, what did Cleo spin?
Options
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer
D. 4
Explanation
Everyone starts with 24 counters. Zara spins 2. Since 2 is even, Zara gives 2 counters to Ben and 2 counters to Cleo. So Zara loses 4 altogether. New totals: Zara 20, Ben 26, Cleo 26 Ben spins 3. Since 3 is odd, Ben receives 3 counters from Zara and 3 from Cleo. So Ben gains 6 altogether. New totals: Zara 17, Ben 32, Cleo 23 Now test Cleo's possible spin. To finish on 21, 36 and 15, Cleo must lose 8 altogether, while Zara and Ben each gain 4. That happens when Cleo spins 4, because 4 is even and she gives 4 to each of the other two. Check: Zara 17 + 4 = 21 Ben 32 + 4 = 36 Cleo 23 - 8 = 15 So Cleo spun 4.