1 A Copy the figure below and place the digits 1, 2, 3, 4, and 5 in these circles so
that the sums across (horizontally) and down (vertically) are the same. Is there more

1 B - Using the same diagram, put the numbers 2, 3, 4, 5, and 6 in the circles to make the sum across and the sum
down equal to 12. Are other solutions possible? List at least two, if possible.
2 A - In a stock car race, the first five finishers in some order were a Ford, a Pontiac, a
Chevrolet, a Buick, and a Dodge.
· The Ford finished seven seconds before the Chevrolet.
· The Pontiac finished six seconds after the Buick.
· The Dodge finished eight seconds after the Buick.
· The Chevrolet finished two seconds before the Pontiac.
In what order did the cars finish the race? What strategy did you use?
2 B - Four friends ran a race:
· Matt finished seven seconds ahead of Ziggy.
· Bailey finished three seconds behind Sam.
· Ziggy finished five seconds behind Bailey.
In what order did the friends finish the race?
3 A - The houses on Main Street are numbered consecutively from 1 to 150. How Many house numbers contain at least digit 7?
3 B - How many house numbers contain the 7 digit if the house are numbered from 1 to 1000.
4 A - The figure below shows twelve toothpicks arranged to form three squares. How
can you form five squares by moving only three toothpicks?
4 B - Sixteen toothpicks are arranged as shown. Remove four toothpicks so that only four
congruent triangles remain.