Question

1 tameka has 4 coins in her purse. the value of the coins is 30% of a dollar. which could represent the coins in tameka’s purse?
a 4 nickels
b 2 dimes and 2 nickels
c 1 quarter, 1 dime, and 2 nickels
d 3 dimes and 1 nickel

2 mark, rea, holly, and travis compete in a contest to see who can bike around the school the fastest. mark’s finishing time is 3.125 minutes, rea’s time is 3 8/60 minutes, holly’s time is 3 1/8 minutes, and travis’ time is 24/7 minutes. which students complete the contest in the same amount of time?
f mark and rea
g travis and rea
h holly and travis
j mark and holly

3 jolie surveys the students in her class to determine their favorite frozen custard flavor. the table shows the results.
custard flavors

flavor	number of students
chocolate	10
strawberry	5
lemon	2

which statement is true?
a the part of students who like vanilla is represented by the equation 8/23 = 0.34.
b the part of students who like chocolate is represented by the equation 2/5 = 20%.
c the part of students who like strawberry is represented by the equation 1/5 = 0.05.
d the part of students who like lemon is represented by the equation 2/25 = 8%.

4 fernando fills a one - fourth cup measuring tool with sugar 5 times and pours it into a punch bowl. which represents the sugar fernando adds to the punch bowl?
f 1.5 c
g 1.25 c
h 1/4 c
j 5/20 c

5 during centerville middle school’s annual physical fitness tests, the physical education teacher found that 62 1/2% of the students exceeded the minimum physical fitness standards. which represents the part of the students who exceeded the standards?
a 0.0625
b 625/1000
c 62.5
d 7/9

6 malik completes 0.7 of the total number of push - ups his coach requires. which does not represent the part of the push - ups malik completes?
f 7%
g 70%
h 14/20
j 0.70

7 mrs. martin wrote three equations on the board.

• equation 1: 3 4/5 = 3.8
• equation 2: 24% = 6/25
• equation 3: 12.5 = 125%

which of the equations is not true?
a equation 1 only
b equations 2 and 3 only
c equation 3 only
d all three equations are true.

Explanation:

Question 1

Step1: Calculate total value of each option

• Option A: 4 nickels. 1 nickel = $0.05$, so 4*$0.05$ = $0.20$ (20 cents), which is 20% of a dollar, not 30%.
• Option B: 2 dimes and 2 nickels. 1 dime = $0.10$, 1 nickel = $0.05$. So 2$0.10$ + 2$0.05$ = $0.20 + 0.10$ = $0.30$ (30 cents), which is 30% of a dollar.
• Option C: 1 quarter, 1 dime, 2 nickels. 1 quarter = $0.25$, 1 dime = $0.10$, 2 nickels = $0.10$. Total: $0.25 + 0.10 + 0.10$ = $0.45$ (45 cents), 45% of a dollar.
• Option D: 3 dimes and 1 nickel. 3*$0.10$ + $0.05$ = $0.35$ (35 cents), 35% of a dollar.

Step1: Convert all times to decimals

• Mark: 3.125 minutes.
• Rea: $3\frac{8}{60} = 3 + \frac{8}{60} \approx 3 + 0.133 = 3.133$ minutes.
• Holly: $3\frac{1}{8} = 3 + \frac{1}{8} = 3 + 0.125 = 3.125$ minutes.
• Travis: $\frac{24}{7} \approx 3.429$ minutes.

Step2: Compare times

Mark (3.125) and Holly (3.125) have the same time.

First, find total number of students: 8 (Vanilla) + 10 (Chocolate) + 5 (Strawberry) + 2 (Lemon) = 25.

• Option A: $\frac{8}{25} = 0.32$, not 0.34. False.
• Option B: $\frac{10}{25} = \frac{2}{5} = 0.4 = 40\%$, not 20%. False.
• Option C: $\frac{5}{25} = \frac{1}{5} = 0.2$, not 0.05. False.
• Option D: $\frac{2}{25} = 0.08 = 8\%$. True.

Answer:

B. 2 dimes and 2 nickels

Question 2