There are 27 tennis balls in a box. 9 of the balls are yellow. The rest of the balls are white. What is the ratio of yellow balls to white balls? A. 1:2 B. 2:1 C. 18:9 D. 9:18 E. 27:9 The correct answer is: A Rationale: The ratio is 9:18, which simplifies to 1:2 My train leaves at half past seven. It takes 35 minutes to get to the station. What is the latest time I can leave the house? A. 07:00 B. 07:25 C. 07:05 D. 06:55 E. 07:35 The correct answer is: D Rationale: If you leave at 06:55, you will arrive at 07:30, in time for your train. 2 red buckets and 2 blue buckets contain a total of 18 liters of water. Each red bucket contains 1 more liter of water than each blue bucket. How many liters of water does each red bucket contain? A. 5 B. 3 C. 4 D. 6 E. 7 The correct answer is: A Rationale: Each blue bucket contains 4 liters and each red bucket contains 5 litres. A farmer has 17 sheep, and all but 8 die. How many sheep does he have left? A. 8 B. 25 C. 9 D. 17 E. 15 The correct answer is: A Rationale: All but 8 die, therefore 8 are left. A man describes his daughters, saying, “They are all blonde, but one.” How many daughters does he have? A. 3 B. 1 C. 2 D. 4 E. 0 The correct answer is: B Rationale: He has one daughter and she isn't blonde. Some months have 31 days, others have 30 days. How many months have 28 days? A. 2 B. 1 C. 12 D. 7 E. 6 The correct answer is: C Rationale: All months have at least 28 days. I have two coins that add up to 30 pence. One of them is not a 10 pence coin. What are the two coins? A. 20p and 10p B. 20p and 5p C. 10p and 10p D. 25p and 5p E. 30p and 1p The correct answer is: A Rationale: One of the coins is not a 10p but the total is 30p, so one of them must be a 20p and the other a 10p. In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake? A. 24 B. 47 C. 96 D. 36 E. 46 The correct answer is: B Rationale: If the patch doubles in size each day, it would be half the size of the lake one day before it covered the whole lake. A sundial has the fewest moving parts of any type of clock. How many moving parts does a sundial have? A. 0 B. 3 C. 1 D. 2 E. 4 The correct answer is: A Rationale: A sundial has no moving parts - the sun moves, causing the shadow to move which indicates the time. Divide 30 by half and add ten. What is the answer? A. 25 B. 65 C. 70 D. 35 E. 45 The correct answer is: B Rationale: Dividing 30 by a half (0.5) equals 60, plus 10 is 70.