1. Suppose you spin the spinner once. Find the probability.
R, R, R, R, B, B, G, Y
P(yellow)
A. 1/8***
B. 1/6
C. 1/4
D. 1/2
2. Suppose you spin the spinner once. Find the probability.
R, R, R, R, B, B, G, Y
P(red or blue)
A. 0
B. 1/4
C. 1/2
D. 3/4***
3. Drink Survey
Drink; Number of Shoppers Who Preferred It
A; 10
B; 15
C; 7
D; 3
E; 6
What is the probability that 1 shopper, selected at random, preferred neither Drink E nor Drink C?
A. 35/41
B. 13/41
C. 28/41***
D. 13/28
4. A farmer examines a sample of 25 cartons of eggs and finds that 3 contain cracked eggs. What is the best prediction of the number of cartons with cracked eggs in a delivery with 500 cartons?
A. 6
B. 12
C. 60***
D. 120
5. A coin is tossed. If heads appears, a spinner that can land on any number from 1 to 4 is spun. If tails appears, a second coin is tossed instead of spinning the spinner. What are the possible outcomes?
A. H1 H2 H3 H4
B. H1 H2 H3
C. H1 H2 H3 H4 TH TT***
D. HH HT
6. A lunch menu has 4 different sandwiches, 2 different soups, and 5 different drinks. How many different lunches consisting of a sandwich, a soup, and a drink can you choose?
A. 10
B. 11
C. 40***
D. 13
7. If the spinner is spun twice, what is the probability that the spinner will stop on a consonant and then again on a consonant?
U, Z, O, E, I, L
A. 2/9
B. 1/3
C. 1/6***
D. 1/9
8. A box contains 4 yellow tiles, 6 green tiles, and 10 purple tiles. Without looking, you draw out a tile and then draw out a second tile without returning the first tile.
Find P(purple, then purple)
A. 9/38
B. 1/4***
C. 3/100
D. 3/19
9. In how many different ways can the following positions be chosen from the 18-member math team?
president, vice president, and treasurer
A. 4,080
B. 306
C. 5,814
D. 4,896***
10. In Mr. Tarkainen's history class, each student chooses two of the topics listed in the chart above for their papers. How many different pairs can Juliana choose?
Year; Invention
1807; Steamboat
1825; Photography
1837; Telegraph
1846; Sewing machine
1869; Hydroelectric power
1879; Light bulb
1890; Diesel Engine
1897; Airplane
A. 90***
B. 10
C. 45
D. 30
11. Below are the results of tossing a number cube 10 times. Find the experimental probability of tossing 4.
2 6 3 5 4 4 1 2 4 3
A. 3/10***
B. 1/6
C. 1/5
D. 2/3
12. A multiple choice test has 5 questions each with 5 possible answers. Find the probability of answering all the questions correctly.
A. 1/3,125***
B. 1/25
C. 1/625
D. 1/125
13. Eva wants to know the probability of tossing "heads" at least three times out of five. She used the random number table to simulate flipping a coin. She assigned odd digits to represent "heads" and even digits, including zero, to represent "tails."
32766, 53855, 34591, 27732
47406, 31022, 25144, 72662
03087, 35521, 26658, 81704
56212, 72345, 44019, 65311
Use the table to find P("heads" at least 3 out of 5 times).
A. 3/8***
B. 7/8
C. 5/16
D. 13/16
40 answers
D
C
C
C
C
D
A
D
C
A
A
A
thank
D
C
C
C
C
D
A
D
C
A
A
A
Is right!
7. 1/9
8. 1/4
10. 45
11. 3/10
13. 3/8
1.) Find the difference. -58 - (-25)*
A. 33
B. -33
C. 83
D. -83
B. -33
2.) What is the sum of -58 + -45?
A. 13
B. 103
C. -103
D. -13
C. -103
3.) Which number is divisible by 3?
*
A.1,345
B.388
C. 5,432
D.1,452
D. 1,452
To check if a number is divisible by 3, you can add up its digits. If the sum of the digits is divisible by 3, then the original number is also divisible by 3. In this case, the sum of the digits of 1,452 is 1+4+5+2 = 12, which is divisible by 3.
4.) Tom's goal is to save an average of $55 a week for six weeks. For the first five weeks he saved 45, 60, 25, 50, 55. What is the smallest amount he can save in week 6 to meet his goal?
*
1 point
A. 80
B. 55
C. 95
D. 65
Total savings = (average savings per week) x (number of weeks)
Tom's total goal savings is:
Total savings = $55 x 6 = $330
Tom already saved:
Week 1: $45
Week 2: $60
Week 3: $25
Week 4: $50
Week 5: $55
Total saved in 5 weeks = $235
To meet his goal, Tom needs to save:
$330 – $235 = $95
Therefore, the smallest amount Tom can save in week 6 to meet his goal is:
C. $95
5. ) Write the following in standard form.
*
5.8709x10^7
58, 709
58,709,000
5,870,900
587,090
58,709,000
Therefore, the number 5.8709 × 10^7 written in standard form is:
58,709,000
6.) Find the quotient.
36.75 divided by 4.2
8.075
8.65
8.705
8.75
8.75.
To solve this problem, you can line up the decimal points of 4.2 and 36.75. Then, you can divide as you normally would:
```
8.75
_______
4.2|36.75
33.6
-----
3.15
```
Therefore, 36.75 divided by 4.2 equals 8.75.
A circle is divided equally into eight sections.· Two of the sections are labeled with an upper B.
· One of the sections is labeled with an upper G.
· One of the sections is labeled with an upper Y.
· Four of the sections are labeled with an upper R.
· An arrow originating from the center of the circle is pointing at one of the sections with an upper R.
P(red or blue)
A. 0
B. one-fourth
C. one-half
D. start fraction 3 over 4 end fraction
We know that two sections are labeled with "B", and four sections are labeled with "R". Thus, the total number of sections that are either red or blue is 2 + 4 = 6.
The probability of getting a red or blue section can be calculated as the total number of red or blue sections divided by the total number of sections, which is 8:
P(red or blue) = (number of red or blue sections) / (total number of sections) = 6/8 = 3/4
Therefore, the answer is:
D. 3/4
Drink
Number of Shoppers Who Preferred It
A
10
B
15
C
7
D
3
E
6
What is the probability that 1 shopper, selected at random, preferred neither Drink E nor Drink C?
A. thirty-five over forty-one
B. thirteen over forty-one
C. twenty-eight over forty-one
D. thirteen over twenty-eight
Number of shoppers who preferred A, B, or D = 10 + 15 + 3 = 28
Total number of shoppers who took the survey = 10 + 15 + 7 + 3 + 6 = 41
Probability = Number of shoppers who preferred A, B, or D / Total number of shoppers who took the survey
Probability = 28/41
Therefore, the answer is:
C. twenty-eight over forty-one
A. 6
B. 12
C. 60
D. 120
The proportion of cartons with cracked eggs in the sample is:
3/25 = x/500
Solving for x, we get:
x = (3/25) * 500 = 60
Therefore, the best prediction for the number of cartons with cracked eggs in a delivery with 500 cartons is 60.
So, the answer is:
C. 60