Round 2, Team Questions
1) $0.37 using any combination of pennies, nickels, dimes, and quarters
1) 37 pennies
2) 32 pennies, 1 nickel
3) 27 pennies, 2 nickels
4) 27 pennies, 1 dime
5) 22 pennies, 3 nickels
6) 22 pennies, 1 dime, 1 nickel
7) 17 pennies, 4 nickels
8) 17 pennies, 1 dime, 2 nickels
9) 17 pennies, 2 dimes
10)12 pennies, 5 nickels
11)12 pennies, 1 dime, 3 nickels
12)12 pennies, 2 dimes, 1 nickels
13)12 pennies, 1 quarter
14) 7 pennies, 6 nickels
15) 7 pennies, 1 dime, 4 nickels
16) 7 pennies, 2 dimes, 2 nickels
17) 7 pennies, 3 dimes
18) 7 pennies, 1 quarter, 1 nickel
19) 2 pennies, 7 nickels
20) 2 pennies, 1 dime, 5 nickels
21) 2 pennies, 2 dimes, 3 nickels
22) 2 pennies, 3 dimes, 1 nickel
23) 2 pennies, 1 quarter, 2 nickels
24) 2 pennies, 1 quarter, 1 dime
Answer: 24
2) Find area of rectangle around triangle and subtract area of three right triangles
surrounding the original triangle located within the rectangle.
Area of rectangle: (6 − 2)⋅(7 − −3) = 4 ⋅10 = 40
(6 − 5)⋅(7 − 2) 1⋅ 5
Area of triangle 1:
=
= 2.5
2
2
(6 − 2)⋅(2 − −3) 4 ⋅ 5
Area of triangle 2:
=
= 10
2
2
(5 − 2)⋅(7 − −3) 3⋅10
Area of triangle 3:
=
= 15
2
2
Area of original triangle: 40 − 2.5 − 10 − 15 = 12.5
Answer: 12.5 square units
3) 500 meters = 0.5 km
each second:
60km/h + 80 km/h
140 kph
=
= 0.038km / s
3600s / h
3600s / h
0.5km
= 12.857142 ≈ 12.9sec
0.038km / s
Answer: 12.9 seconds
4) Two people working the field at different rates
d = rt
where d = 1 field,
1
1
r = of a field per hour + of a field per hour,
6
9
and t = time in hours
⎛ 1⎞ ⎛ 1⎞
⎜⎝ ⎟⎠ t + ⎜⎝ ⎟⎠ t = 1
6
9
⎛ 3⎞ ⎛ 2⎞
⎜⎝ ⎟⎠ t + ⎜⎝ ⎟⎠ t = 1
18
18
5
t =1
18
18
t=
= 3.6 hours = 3 hours 36 minutes
5
Answer: 3 hours 36 minutes
5) Volume of hockey rink:
A = 61⋅ 26 − 4 ⎡⎣(8.5)2 ⎤⎦ + 3.14(8.5)2
= 1586 − 289 + 226.865
= 1523.865
Note : 2cm = 0.02m
V = A ⋅(0.02)
= 1523.865(0.02)
= 30.4773
≈ 30m 3
Answer: 30 cubic meters