Alice’s mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was named Lolo. What was the fifth child named?
A product of a number and itself is called a square number. Each pattern below is formed by identical squares. Which pattern will that be there are 100 squares?
Self-study clarification (editorial): continue the shown square-array rule and count identical small unit squares. Enter the pattern number.
The tens digit of a two-digit number is twice the units digit. If the digits are reversed, the new number is 36 less than the original number. Find the number.
Ksi delivered a total of 126 papers last week. If he delivered twice as many papers on each day of the weekend as he does on each day of the week, how many papers does he deliver on Sunday?
Self-study interpretation (editorial): take “each day of the week” here to mean each of the five weekdays, Monday to Friday, with the same daily amount. Saturday and Sunday each have twice that amount.
Fiona has 12 identical rectangles of size 3 cm × 9 cm. She arranged these rectangles (with no overlapping parts) and formed a square. What is the perimeter, in centimeters, of the square she get?
Self-study input (editorial): the rectangles tile the square without gaps; enter its outer perimeter in centimeters.
A teacher wants to equally distribute 67 pieces of candy to 9 students. How many pieces of candy will be left after all students receive the largest possible pieces of candy from their teacher?
Self-study convention (editorial): distribute whole pieces of candy equally.
Mrs. Walker earns \(\text{\$12}\) an hour. When she works more than 8 hours in one day, she earns twice her regular hourly wage. If she earns \(\text{\$168}\) for one day’s work, how many hours did she work that day?
Self-study pay rule (editorial): the first 8 hours receive the regular rate; only hours beyond 8 receive double that rate. Enter the total hours.
