1)Find the fraction notation for the ratio.

414.6 to 359.7

a. 359.7/774.3

b. 414.6/359.7

c. 359.7/414.6

d. 774.3/359.7

2) The ratio of the distances a 7-iron and a 5-iron will drive a golf ball is 5 to 6. If a golfer averages 185 yd with a 7-iron, how far should he average with a 5-iron? Show Work.

185 / 5 = x / 6 37 = x / 6 x = 222

3) Not included.

4) a. b. c. 42 d.

= t

5) Find the unit price. Show Work.

A lb package of salami costs $2.76.2.76 / (3/4)  2.76 * 4/3 = 3.68

6) The sides of the pair of figures are proportional. Find the missing length or lengths.

Four sided figure 1: left side = 2, right side = 3, bottom = 2, top = 4

Four sided figure 2: left side = x, right side = y, bottom = 1, top = 2

  1. X = 1; y = 1.5
  2. X = 1.5; y = 2
  3. X = 2; y = 3
  4. X = 1; y = 2

7) On a map of the Thunderbird Country Club golf course, 0.5 in. represent 15 yd. How long is the 9th hole if the map shows 10.5 in?

A. 315 yd. B. 0.7 yd. C. 78.75 yd. D. 157.5 yd.

8) Determine whether the two pairs of numbers are proportional.

25, 30 and 3, 5

  1. Too much information
  2. No
  3. Yes
  4. Not enough Information

9) Two right triangles are similar. Find the missing length or lengths.

Figure 1: top = 15, bottom = 12, left side = x

Figure 2: top = 5, bottom = 4, left side = 3

  1. 3 b. 12 c. 5 d. 9

10) A triangle on a map has sides of lengths 7cm, 10cm, and 14 cm. The shortest of the corresponding real-life distances is 126 km. Find the longest of the real life distances.

  1. 170.0 km
  2. 180.0 km
  3. 262.0 km
  4. 252.0 km

11) To determine the number of fish in a lake, a park ranger catches 300 fish, tags them, and returns them to the lake. Later, 72 fish are caught , and it is found that 30 of them are tagged. Estimate the number of fish in the lake.

a. 125 fish b. 7 fish c. 720 fish d. 648,000 fish

12) The sides in the pair (figures) are proportional. Find the missing length or lengths. Two shapes shown in the shape of a house (five sides)

Left figure: bottom = 11, left = 4, right = 4, top left = 7, top right = 5

Right figure: bottom = x, left =3, right =3, top left = y, top right =z

  1. X = 8, y =5, z = 3
  1. X = 8 , y = 5 , z = 3
  1. X = 8 , y = 5 , z = 3
  1. X = 8 , y = 5 , z = 3

13) Find the rate, or speed, as a ratio of distance to time. Round where appropriate.

27km, 3hr

  1. 9km/h b. 27km/h c. 9h/km d. 27h/km

14) A machine can fill 1026 boxes of cereal in 0.2 hour. What is the rate in boxes per hour?

a. 1026 boxes/hr b. 3420 boxes/hr c . 5130 boxes/hr d. 205 boxes/hr

15) Find the rate, or speed, as a ratio of distance to time. Round where appropriate.

52 m, 30 sec

  1. 0.58 m/sec b. 5.77 m/sec c. 1.73 m/sec d. 1560.0 m/sec

16) Max started playing quarterback for his college team last season. Last season, he completed 315 passes of 517 passes attempted. This season, he completed 233 passes of 382 passes attempted. Find each pass- completion rate rounded to the nearest hundredth. Are the rates the same? A. 0.63, 0.63; yes B. 0.61, 0.61; yesC. 0.61, 0.62; no D. 0.63, 0.64; no

17) 7 = a. b. c. d.

18) Find the ratio of the first number to the second and simplify.

9 to 15

a. b. c. d.

19) Find the ratio of the first number to the second and simplify.

7 to 7

  1. b. c. d.

20) Determine which size has the lowest unit price.

9 oz for $1.17

4 oz for $1.53

Show Work.

1.17 / 9 = 0.13. 1.53 / 4.125 = 0.371. The first is lower.

21) The sides in the pair of figures are proportional. Find the missing length or lengths.

Five sided octagon figure 1: left side = 4, bottom = 4, right side = x, top left side = y, top right side = z

Five sided octagon figure 2: left side = 5, bottom = 5, right side = 3, top left side =8, top right side =5

  1. X= 2; y =6; z = 3
  2. X = 1.5; y = 7; z = 3.5
  3. X = 3; y = 6; z = 4
  4. X = 2.4; y = 6.4; z =4

22) This problem is a proportion equation.

Joan can mow a 10-acre field in 5 hr. How long would it take her to mow a 4-acre field?

Show Work. 10 / 5 = 4 / x  10x = 20 x = 2

23) = a. 3 b. 2 c. 15 d. 5

24) This problem is a proportion equation. Show Work.

A machine can fill 7011 boxes of cereal in 0.9 hour. What is the rate in boxes per hour?

7011 / 0.9 = 7790

25) Determine which size has the lowest unit price.

20 oz for $3.00

16 oz for $2.08

  1. Not enough information
  2. 16 oz
  3. 20 oz
  4. Equal value

26) Find the unit price.

2 lb package of chicken costs $ 4.31

  1. $0.12/lb b. $2.16/lb c. $9.70/lb d. $1.92/lb

27) Write the specified ration as a simplified fraction. Show work as an expression.

A certain lake is 1100 feet deep. A nearby lake is 300 feet deep. Write the ratio os the first lake’s depth to the second lake’s depth.

1100 / 300 = 11/3

28) Find the notation for the ratio. Rectangle with width of 96 and length of 160. What is the ratio of length to width? Of width to length?

a. ; b. ; c. ; d. ;

29) This problem is a proporation equation. Show work.

Figure 1 Top = 12, bottom = 6, left = 6, right =9

Figure 2 Top = 6, bottom = 3, left = x, right =y

12/6 = 6/3 = 6/x = 9/y  2 = 2 = 6/x = 9/y  2 = 2 = 6/3 = 9/4.5

30) This problem is a proportion equation. Show Work.

The 11th hole at the Riverwoods Golf Course is 125 yd long. How long would it be on a model with a scale of 2.5 in to 25 yd? 125 / 25 = x / 2.5 25x = 312.5 x = 12.5

31) Find the ratio of the length of the longest side to the length of the shortest side.

Rectangle a (top) = 0.3 yard b (right side) = 2.1 yards c (bottom)=0.3 yard d (left side) = 2.1 yards

  1. b. c. d.

32) Find fraction notation for the ratio and simplify.

A baseball team has played 9 games so far this season. The team has won 6 games. What is the ratio of games won to played so far? Explain your answer.

6 won to 9 played = 6/9 = 2/3

33) Right triangle shown has measurements of 1441 of the left side, 1552 on the right side, and 576.4 on the bottom.

a. ; b. ; c. ; d. ;