2. 5/1 Going On Vacation
The floor plan of a vacation cottage is
shown. Both bedrooms have the same
dimensions. What is the total area of the
cottage, in square feet?
4. 5/3 Goomats and Zignots
Five goomats plus a zignot is 87.
A goomat plus five zignots is 99.
What is the sum of two goomats
and two zignots?
+ = 87
+ = 99
5. 5/6 Angles in a Clock
What is the number of degrees the
minute hand of a clock moves from
6:04 pm and 6:21 pm?
6. 5/7 Wire Weight
A wire of uniform diameter and
composition that weighs 32 lb is cut into
two pieces. One piece is 90 yd long and
weighs 24 lb. What is the length, in yd,
of the original wire?
7. 5/8 Shaded Regions
Square WXYZ is partitioned into four
smaller congruent squares, and then
portions of those squares are shaded, as
shown. What fractional part of the square
is shaded?
8.
9. 5/10 Printing Business
If 45 business cards can be printed
in 30 seconds, how long will it take
to print 555 business cards at the
same rate?
10. 5/13 Sums and Products
What integer can be added to 13/12
or multiplied by 13/12 to give the
same result?
11. 5/14 Find the Number
If one-half of a number is eight less
than two-thirds of the number, what
is the value of the number?
12. 5/15 Minimize the Product
Find the least possible product of
two integers whose sum is 16?
a + b = 16
13. 5/16 Simply Perfect!
A perfect number is a number whose
proper factors add to equal the number.
For example, 6 is a perfect number
because 1 + 2 + 3 = 6. Find another
perfect number.
14. 5/17 How odd!
What is the smallest odd integer
with exactly six positive factors?
15. 5/20 Picture this!
What is the minimum number of
square tiles needed to exactly
cover a rectangle whose length is
50% greater than its width?
16. 5/21 How Many Numbers?
How many different four-digit
numbers can be formed if the digits
2, 3, 4 and 5 must be used in each
of the integers?
___, ___ ___ ___
17.
18. 5/23 Perimeter Puzzle
A regular polygon has a total of 9 diagonals.
If each side measures 2.5 inches, what is the
perimeter of the polygon?
19. 5/24 Area: Holding Steady
The length of a rectangle is three times its
width. A new rectangle is created by
decreasing the length of the original
rectangle by half. By what factor must the
original width be multiplied, if the area
remains unchanged?
20. 5/27 Sweet Treats
The Sachem singers earned
$273 by selling a combined
total of 440 brownies and
cookies during their concert.
If each brownie sold for
$0.75 and each cookie sold
for $0.50, how many
brownies did they sell?
21. 5/28 Guess the Number
If twice a number is equal to 6 more
than half the number, what is the
number?
22. 5/29 Solve this one
In the figure shown,
the distance
between adjacent
dots in each row and
column is 1 unit.
Find the area of the
shaded region in
square units.
23. 5/30 Dollars to Dollars
The ratio of John’s allowance to Bill’s
allowance is 3:7. The ratio of John’s
allowance to Mary’s allowance is 2:5.
What is the ratio of Mary’s allowance
to Bill’s allowance?
24. 5/31 Squares and Ratios
?
The difference of the
squares of two distinct
positive numbers is equal to
? twice the square of their
difference. What is the
ratio of the smaller number
to the larger?
