Courtney, Andrew and Maria each take 3 cards from the nine distinct cards numbered 1 to 9. Maria's numbers have product 63; Courtney's have product 48; Andrew's sum to 16. What is the largest number on Andrew's cards?
Eighteen people would repair a road in 8 days. Six more people join to accelerate the work. If everyone has the same constant productivity, how many days earlier than planned will the work finish?
Two square sheets of side 10 cm first form a rectangle without overlapping. Then the green sheet is placed partly over the yellow sheet to make a smaller rectangle, decreasing its area by 30 cm². Find the perimeter of the new rectangle.
Andree leaves home at 07:45, cycles 2 km at 20 km/h to a cafe, spends 45 minutes there, then cycles 3 km at 15 km/h to the library. When does he arrive?
Dan has 2-dollar and 5-dollar notes. He has 12 more 5-dollar notes than 2-dollar notes, and their total value is 137 dollars. How many 5-dollar notes does he have?
Each letter in “SECTIONS” represents one of the digits 1,2,3,4,5,6,7. The resulting number is divisible by 3 but not by 2. Find S.
Editorial clarification for this imported multiple-choice version (not explicitly printed in the source): different letters represent different digits; the repeated S represents the same digit. The original wording without this convention is not uniquely determined.
Opposite faces of a die sum to 7. Initially its top shows 1 as in the figure. After one roll right, its top shows 4. It then rolls right three more times, giving top value A, and then eleven more times, giving top value B. Find A×B.