Category 4 Arithmetic Meet #5 Worksheet With Answers - 2001 Page 4
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12Solutions to Category 4
Arithmetic
Meet #5, April, 2002
Answers
1. If Jerry’s average for the first 6 quizzes is
91%, then the sum of his scores is 91 6
546
.
× =
1. 54 or 54%
To earn a 90% average on ten quizzes, he must
have a sum of 900 percentage points. If he
1
earns 100% on three of the quizzes he will have
2.
a sum of 546 300
846
. This means that he
+
=
55
must earn at least 54% for the quiz on the topic
that he hates.
1
3.
2
2. The probability that the next lollipop taken
4
from the basket is green is 4 out of 12 or
.
12
After that there are only 3 green lollipops among
the 11 lollipops in the basket, so the probability
3
is
. For the third lollipop to be green, the
11
2
probability is
. The probability that three
10
green lollipops will be taken in succession is the
product of these separate probabilities, or
1
4
3
2
2
.
×
×
=
=
55
12
11
10
110
3. Of the 36 possible rolls of the number cubes 18 give a sum that is a
18
1
multiple of 3, as shown in the table. Thus the probability is
.
=
36
2
+
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2
4
8
16
32
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3
5
9
17
33
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6
10
18
34
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8
12
20
36
8
9
10
12
16
24
40
18
24
48
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17
20
32
32
33
34
36
40
48
64
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