LET REVIEW GENERAL EDUCATION – MATHEMATICS A

LET REVIEW: GENERAL EDUCATION – MATHEMATICS A

1. The prices of plasma televisions at an electronics store are shown below.

$1,544   $1,242  $2,285    $1,116   $1,899   $1,649   $1,423   $1,242

What is the range of the prices of these plasma televisions?

A. $1,043

B. $1,169

C. $1,242

D. $1,484

2. Which expression is a binomial?

A. p²

B. 3w

C. 3w + 1

D. 3p² + 2p + 2

3. A box contains 6 red pens and 4 blue pens. Tom randomly picks a pen from

the box and keeps it. Then Todd randomly picks a pen from the box. What is the

probability both boys will pick red pens?

A. 1/3

B. 9/25

C. 1/30

D. 1/36

4. Simplify the expression below.

–4x - (–x)

A. 5x

B. 3x

C. –3x

D. –5x

5. What is the value of the expression?

2 + 3² + | –4 |

A. 7

B. 12

C. 15

D. 29

6. Derek has 12 shirts in his closet. If 2 out of every 3 of these shirts are striped,

how many striped shirts does Derek have in his closet?

A. 2

B. 8

C. 11

D. 18

7. Joan flipped a coin 100 times during a mathematics experiment. The coin landed

on tails 36 times. Based on Joan’s results, which of these statements is true?

A. The coin landed on tails more than expected.

B. The coin landed on heads less than expected.

C. The coin landed on heads more than tails.

D. The coin landed on heads less than tails

8. Helen is preparing candy bags for the children at a party. She has 2 flavors of lollipops, 4 types of candy bars, and 6 flavors of chewy candies. If each bag contains 1 piece of each kind of candy, what is the total number of possible candy combinations for the bags?

A. 12

B. 15

C. 36

D. 48

9. Mario walks his dog once every 8 days in the park, while Todd walks his dog once every 14 days. Today, both Mario and Todd walked their dogs in the park. In how many more days will both boys walk their dogs in the park on the same day?

A. 2 days

B. 22 days

C. 56 days

D. 112 days     

10. Randy spins the arrow on a spinner with 5 equal sections labeled A, B, C, D, and E.

Then, he rolls a 6-sided number cube with sides numbered 1 through 6. What is the

probability that the arrow will stop on the letter A and the number cube will show

the number 4?

A.1/30

B. 1/11

C. 1/6

D. 1/5

11. A scientist discovers a dinosaur bone that is 7 x 10⁷ years old. What is this number in standard form?

A. 7,000,000

B. 7,100,000

C. 70,000,000

D. 71,000,000

12. Jeffrey wants to measure the mass of his fish tank. Which tool is best for him to use?

A. ruler

B. scale

C. tape measure

D. measuring cup

13. The square root of a number is between 8 and 9. Which of these could be that number?

A. 17

B. 63

C. 71

D. 89

14. Which number is an irrational number?

A. square root of 3 

B.  – 3.5

C.  3/7

D.  2/ square root of 9

15. A spinner is divided into five equal sections numbered 1 through 5. Predict how many times out of 240 spins the spinner is most likely to stop on an odd number.

A. 80

B. 96

C. 144

D. 192

16. Cardo designs a sprinkler system for his yard. One rotation of the sprinkler waters a circle with an area of 225π square feet. What is the radius, r, of the circle the rotating sprinkler waters?

A. 15 feet

B. 25 feet

C. 30 feet

D. 47 feet

17. Which of the following is a metric unit for measuring mass?

A. meter

B. liter

C. pound

D. gram

18. The post office uses address tags with 3-letter city codes. The first and the last letters of each code are always consonants and the middle letter is always a vowel. The English language uses 21 consonants and 5 vowels. How many different combinations of tag codes are possible?

A. 105

B. 441

C. 2100

D. 2205

19. In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If a student is chosen at random, what is the probability of choosing a girl or an A student?

A. 19/30

B. 11/15

C. 17/180

D. None of the above

20. Which of the following experiments does NOT have equally likely outcomes?

A. Choose a number at random from 1 to 7.

B. Toss a coin.

C. Choose a letter at random from the word SCHOOL

D. None of the above

21. In a shipment of 100 televisions, 6 are defective. If a person buys two televisions from that shipment, what is the probability that both are defective?

A. 3/100

B. 9/2500

C. 1/330

D. None of the above.

22. On a math test, 5 out of 20 students got an A. If three students are chosen at random without replacement, what is the probability that all three got an A on the test?

A. 1/114

B. 25/1368

C. 3/400

D. None of the above

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ANSWERS:

GENERAL EDUCATION - MATHEMATICS - REVIEWER 1

REVIEWER : MATHEMATICS

Solve and choose the answer to test your knowledge.

(Image from http://10eighty.co.uk/2016/04/04/do-the-math-mathematics-awareness-month/)

Multiple Choice: Select the correct answer on the list.

1.    If 10x + 2 = 7, what is the value of 2x?

o    -0.5

o    0.5

o    1

o    5

o    10

2.    A long distance runner does a first lap around a track in exactly 50 seconds. As she tires, each subsequent lap takes 20% longer than the previous one. How long does she take to run 3 laps?

o    182 seconds

o    160 seconds

o    180 seconds

o    72 seconds

o    150 seconds

3.    A number N is multiplied by 3. The result is the same as when N is divided by 3. What is the value of N?

o    -1

o    0

o    3

o    1

o    -3

4.    Which of the following equations satisfies the five sets of numbers shown in the above table?

o    y = 2x

o    y = x³ + 4

o    y = 2x² = 7

o    y = 3x + 1

o    y = 6x

5.    John buys 100 shares of stock at $100 per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and he sells his remaining 50 shares. How much did he get for the last 50?

o    $5050

o    $4900

o    $5000

o    $5500

o    $4950

6.    The sides of a triangle are equal to integral numbers of units. Two sides are 4 and 6 units long, respectively; what is the minimum value for the triangle's perimeter?

o    11 units

o    13 units

o    10 units

o    9 units

o    12 units

7.    

Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he buys $70 worth of lemons, how much profit does he take home?

o    $15

o    $30

o    $20

o    $35.50

o    $40

8.    A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?

o    20%

o    10%

o    15%

o    25%

o    30%

9.    

A sailor judges the distance to a lighthouse by holding a ruler at arm's length and measuring the apparent height of the lighthouse. He knows that the lighthouse is actually 60 feet tall. If it appears to be 3 inches tall when the ruler is held 2 feet from his eye, how far away is it?

o    240 feet

o    60 feet

o    120 feet

o    480 feet

o    960 feet

10. If x² - 4 = 45, then x could be equal to

o    9

o    -7

o    5

o    -4

o    3

11. Determine the volume of a rectangular box with a length of 5 inches, a height of 7 inches, and a width of 9 inches.

o    315 in.³

o    445.095 in.³

o    45 in.³

o    35 in.³

o    21 in.³

12.What is the greatest integer value of y for which 5y - 20 < 0?

o    5

o    1

o    4

o    2

o    3

13.Which equation is represented by the graph shown below?

o    y = -⁵/₃x - 2

o    y = ⁵/₃x + 2

o    y = -⁵/₃x + 2

o    y = ⁵/₃x - 2

o    y = 5x + 2

14.The right circular cylinder shown in the figure above has a height of 10 units and a radius of 1 unit. Points O and P are the centers of the top and bottom surfaces, respectively. A slice is cut from the cylinder as shown, so that the angle at the top, O, is 60 degrees, and the angle at the bottom, P, is 60 degrees. What is the volume of the slice?

o    31.4 units

o    10.47 units

o    7.85 units

o    5.23 units

o    15.7 units

15.For the number set {7, 12, 5, 16, 23, 44, 18, 9, Z}, which of the following values could be equal to Z if Z is the median of the set?

o    14

o    12

o    17

o    11

o    21

Answers:   Sorry if my answers are very detailed or elementary. I want the others to fully understand the concept and how to get the correct answers.