Several people were surveyed for their preference for 4 drinks A, B, C and D. All the people surveyed are represented in the graph below. If the fraction of people who preferred A to those who preferred D is $\frac{m}{n}$, what is $m+n$?
Editorial clarification: take m and n to be positive integers with m/n in lowest terms. The original statement omits this condition. The vertical axis shows the number of people.
Two identical rectangular cards partially overlap. Their overlap is a square of area $4\text{ cm}^2$. The total area of the non-overlapping portions of the two cards is $12\text{ cm}^2$. What is the area of one card, in square centimetres?
Jessica has a rectangle made of construction paper. She folds it in half to form another rectangle, then folds that rectangle in half to form a 6-cm-by-6-cm square. What is the area, in $\mathrm{cm}^2$, of the original rectangle?
Each of 10 cards displays two different symbols, one on the front and one on the back. The five symbols are $\clubsuit,\heartsuit,\spadesuit,\diamondsuit,\bullet$. The front of each card is shown. No two cards have the same unordered pair of symbols. What is the least number of cards you can turn over to ensure that $\bullet$ appears?
Remi had a square garden with an area of 16 square meters. She extends the length of the garden by 3 meters and the width by 2 meters. What is the new perimeter, in meters, of the garden?
In the cryptarithm $\overline{TIC}+\overline{TAC}+\overline{TOE}=\overline{WIN}$, different letters represent different decimal digits and equal letters represent the same digit. Given $A=5$ and $O=4$, find the greatest possible value of $\overline{WIN}$. The leading digits $T,W$ are nonzero.
Four darts are thrown at the dartboard shown. A miss scores 0 points. Add the four scores. Find the least whole-number total that is impossible to obtain.
Three brothers have a total age of 32 years. The oldest is twice as old as the youngest. The two older brothers differ in age by 3 years. How old is the youngest?
A photographer enlarges a photo diagonally in software to fit a digital album. The larger photo keeps its proportions and is neither squished nor stretched disproportionately. The original dimensions are 6 inches by 4 inches; the new dimensions are 12 inches by $p$ inches. Find $p$.
Michael opens his favourite mathematics puzzle book and notes that the product of the page numbers facing him is 462. Find the sum of these two page numbers.
Editorial convention: treat the two page numbers as consecutive positive integers, as the source intends; disregard the left/right parity convention of ordinary book pagination.
