Gauss Solutions Worksheet With Answers - Grade 7 - University Of Waterloo - 1998 Page 4
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101998 Gauss Contest - Grade 7
Solutions
Solution
(
)
+
=
68
–
36
32
ANSWER: (A)
10. At the waterpark, Bonnie and Wendy decided to race each other down a waterslide. Wendy won by
0.25 seconds. If Bonnie’s time was exactly 7.80 seconds, how long did it take for Wendy to go down
the slide?
(A) 7.80 seconds (B) 8.05 seconds
(C) 7.55 seconds (D) 7.15 seconds (E) 7.50 seconds
Solution
If Wendy finished 0.25 seconds ahead of Bonnie and Bonnie took 7.80 seconds then Wendy took
7 80 0 25
.
– .
or 7.55 seconds.
ANSWER: (C)
Part B
11. Kalyn cut rectangle R from a sheet of paper and then cut figure S from R. All the cuts were made parallel
Kalyn cut rectangle R from a sheet of paper. A smaller rectangle is then cur from the large rectangle
to the sides of the original rectangle. In comparing R to S
R to produce figure S. In comparing R to S
8 cm
4 cm
S
R
6 cm
6 cm
5 cm
8 cm
8 cm
(A) the area and perimeter both decrease
(B) the area decreases and the perimeter increases
(C) the area and perimeter both increase
(D) the area increases and the perimeter decreases
(E) the area decreases and the perimeter stays the same
Solution
If figure S is cut out of rectangle R then S must be smaller in area.
If we compare perimeters, however, we find that the perimeter of figure S is identical to that of
rectangle R.
The comparison of perimeter is not too difficult to see if we complete figure S as shown and compare
lengths.
The perimeters of R and S are equal.
4 cm
8 cm
1 cm
R
S
6 cm
6 cm
5 cm
8 cm
8 cm
ANSWER: (E)
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