WASHINGTON STATE MATHEMATICS COUNCIL

1997 MIDDLE SCHOOL MATH OLYMPIAD

SIXTH GRADE SPATIAL SENSE

SCHOOL ___________________________ TEAM_______

1). How many squares of any size can be made using the pegs of a 4 by 4 geoboard? Count squares in different positions on the board as different squares. All of the pegs are equally spaced.

Answer:_________

2). This walkway is to be paved with bricks. Four bricks cover every square foot. How many bricks will be needed?

Answer:_________

3). Two gears are interlocked with an arrow on each of them lining up exactly. Gear A has 12 cogs and gear B has 15, and they turn in opposite directions. How many times will gear A go completely around before the 2 arrows point at each other again?

Answer:_________

4). The drill team starts at one corner of the field shown, and marches down the end-line and across one side. The band starts at the other corner of the same field and marches diagonally across the field. How much farther does the drill team march?

Answer:_________

5). A child glues together 42 cubes with 1 cm edges to form a solid, rectangular-faced brick. If the perimeter of the base is 18 cm, what is the height of the brick, in cm?

Answer:_________