Volume 8 Math Stars Worksheet Page 9
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35Vol. 8 No. 3
1. The measure of the two acute angles in a
6. A game is played with two spinners like
right triangle are in the ratio 2:3. What is the
the one pictured here:
measure of the smallest angle of the triangle?
2. Which two positive integers whose sum is
2
3
24, have the smallest product?
4
1
3. If the radius of the circle below is four,
1
4
what is the area of the unshaded region? (Use π =
3
2
3.14)
The sections are equal and the spinners are fair.
If each spinner is spun once, what is the probabil-
ity that the sum of the numbers on the spinners is
6?
4. If the letters A, B, C, and D represent
four different digits, what does A represent?
Strategy of the Month
Being a problem solver is something like being a
7 B C
detective! A detective has to solve crimes by
+B B 3
guessing what happened and checking the guess
A D A D
to see if it fits the situation. For some problems,
your best strategy may be to make a guess and
then check to see if your answer fits the problem.
5. Here is a famous sequence of num-
If not, decide if your guess was too high or too
bers: 7, 10, 16, ___, 52, . . .
low and then make a second "guesstimate." A
good detective keeps records (usually some kind
a) Find the missing number.
of chart) to help see any patterns and to narrow
down the possibilities. You should do this too.
b) Write a rule for this sequence. [Hint: the rule
The results of incorrect guesses can give you
valuable clues to the correct solution. Guess and
invloves the numbers 1.5 and 4.]
then check the solution to :
c) This is called Bode's Pattern. Look it up in a
Jo, Ro & Bo have less than 20 tokens. Ro has
more than Mo and Mo has more than Bo. Ro
science book and explain what it describes.
gives Bo three tokens and Mo gives Bo two.
Now they each have the same number. What
did they start with?
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