The fuel tank in Jack's car holds 52 litres of petrol, to the nearest litre. What is the least amount of fuel the tank could hold? Josie is 130 cm tall to the nearest 10 cm. What is the shortest Josie could be? Amy scores 9960 points on a new game, to the nearest 10. Bill scores 9900 points to the nearest 100. Who did better? Amy, Bill, Can't tell

1. **Fuel Tank Capacity** The fuel tank is given as \(52\) litres to the nearest litre. This means the actual capacity, \(F\), satisfies \[ 51.5 \leq F < 52.5. \] Hence, the least amount of fuel the tank could hold is \[ 51.5 \text{ litres}. \] 2. **Josie’s Height** Josie’s height is given as \(130\) cm to the nearest \(10\) cm. Therefore, her actual height, \(H\), lies in the interval \[ 125 \leq H < 135. \] Thus, the shortest Josie could be is \[ 125 \text{ cm}. \] 3. **Game Scores: Amy vs. Bill** - Amy’s score is \(9960\) points to the nearest \(10\). Hence, her actual score, \(A\), is in the interval: \[ 9955 \leq A < 9965. \] - Bill’s score is \(9900\) points to the nearest \(100\). Thus, his actual score, \(B\), lies in: \[ 9850 \leq B < 9950. \] Comparing the two intervals, even the minimum possible score for Amy (\(9955\)) is greater than the maximum possible score for Bill (which is just below \(9950\)). Therefore, Amy’s score is unequivocally higher than Bill’s score. In mathematical terms, \[ A > B. \] This means Amy did better than Bill: \[ \text{Amy } > \text{ Bill}. \]