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2017-18 MSMFD answers

Units:

deg => degrees

Length:

cm => centimeters

u => units

Area:

sq cm => square centimeters

sq f => square feet

sq u => square units

Volume:

c in => cubic inches


This year's competition is 40 questions in 1 hr. So you get 90 seconds per problem.

1) $20$ factors

2) $8$ sides

3) $35$ diagonals

4) $97\%$

5) $1$

6) $336$ ways

7) $93$

8) $4$ ferrets

9) $$ 56$

10) $20$ ($x=28$, $y=8$)

11) $11$ ($x=3$, $y=8$ OR $x=8$, $y=3$)

12) $30\%$

13) $24$

14) $11/36$

15) $29.5$ sq u ($16*\pi - 12*\sqrt{3}$)

16) $3360$ ways

17) $20400$

18) $324$ sq cm

19) $6$ cm

20) $23$ ($6$,$6$,$11$)

21) $672$ ($84=12*7$, $96=12*8$, $672=12*7*8$)

22) $12$ sides

23) $252$ 9th graders ($448$ 7th graders, $420$ 8th graders)

24) $6$ zeros

25) $9$ ($A=13$, $C=-7$)

26) $3$ cm

27) $96$ sq in

28) $64$ ($2^8*3^4*5^2*7^1$)

29) $144*\sqrt{3}$ sq u

30) $59$

31) $6*\sqrt{3}$ sq u

32) $750$ g

33) $12*\sqrt{10}$

34) $98634$

35) $576$ c in (sides are $12$ in, $9$ in, and $6$ in)

36) $668$ items ($666$ pens and $2$ books)

37) $75 \%$

38) $13$

39) $16$ cm

40) $54$

41) $12$ laptops

42) $960$ sq f

43) $\frac{1}{204}$

44) $4$ years old

45) $105$ handshakes

46) $A$, $C$, $D$

47) $(4,5)$

48) $20$ sets

49) $$ 31$

50) $16$ questions


Tiebreakers:

A) $18$ ways

B) $119.5$ deg

C) $$ 440,000$

D) $5$


-alpha_2