Assessment Test #4

Ben's weekly parking fee for the first week in June was $26; for the second week it was $8 more than the first week and for the third week $16 less than the second week. What was his average parking fee for these three weeks? Enter a numerical value only.

$26 1st week = $26 2nd week = $26 + $8 = $34 3rd week = $34 - $16 = $18 26 + 34 + 18 = 78 78 / 3 = 26

John is a mechanic. He makes $8.50 an hour, plus $3 extra for every oil change he performs. Last week he worked 36 hours and performed 17 oil changes. How much money did he make?

$357 John's base wage can be figured by multiplying his pay per hour by the number of hours he worked: $8.50 x 36 = 306. His bonus for oil changes is calculated by multiplying the payment per oil change by the number of oil changes performed: 17 x 3 = 51. These two products can then be added together.

Which of the following numbers represents the smallest amount: 0.400, 0.04, 4.0, 40?

0.04 Be sure to identify the position of the decimal point.

Which of the following numbers represents the smallest amount: 3.26, 0.54, 89.00,0.09?

0.09 It may be helpful to say the numbers out loud: "9 hundredths" is clearly smaller than "54 hundredths."

What is the next number in the sequence: 24, 12, 6, 3...?

1.5 The next number is found by dividing each number by 2.

Chain sells for $1.50 per foot. How many feet of chain can you buy for $18? A) 16 feet B) 15 feet C) 24 feet D) 12 feet

12 feet $1.50 x 12 = $18.00

A basketball player averaged 20 points a game over the course of six games. His scores in five of those games were 23, 18, 16, 24, and 27. How many points did he score in the sixth game?

12 points 1) A basketball player averaged 20 points a game over the course of six games. = 20 points x 6 games = 120 2) 23 + 18 + 16 + 24 + 27 = 108 3) 120 - 108 = 12 points

A physical education class has three times as many girls as boys. During a class basketball game, the girls average 18 points each, and the class as a whole averages 17 points per person. How many points does each boy score on average?

14 Girls 3 times = 3g Boys average = ba 1) 18 x 3 = 54 2) (54g + ba) / 4g = 17 (average class score per person) 3) (54 + a) / 4 = 17 We can cancel g from numerator and denominator 4) 54 + a = (4 x 17) 5) 54 + a = 68 6) 68 - 54 = 14 7) 54 (girls) + 14 (boys) = 68

Randolph has 8 ties, 6 pairs of pants, and 4 dress shirts. How many days could he possibly go without wearing the same combination of these three items?

192 days There are 48 different combinations of ties and shirts (8 different ties for each of the 6 pairs of pants), and then four different shirts for each of these combinations. In numerical form: 8 x 6 x 4 = 192.

What is the mathematical average of the number of feet in a yard, seconds in a minutes and months in a year? Enter a numerical value only

25 There are 3 feet in a yard. There are 60 seconds in a minute. There are 12 months in a year. Add those up and divide by 3 to get the average. (3 + 60 + 12) / 3 = 75/3 = 25

What is the average of all of the integers from 13 to 37?

25 This kind of problem can be easily solved by simply finding the average of the two extremes in the range: (13 + 37) / 2 = 25.

If three inches of rope cost 7 cents, how much would 2 feet of rope cost?

56 cents. First, divide the number of inches in 2 feet (24) by 3;then, multiply this number (8) by the price of 3 inches of rope: 8 x 7 = 56

Which of the following numbers represents the greatest amount: 6, 6.0, 0.600, 60?

60 Be sure to identify the position of the decimal point.

Which of the following numbers represents the smallest amount: 3899, 629, 89001, 9867?

629 Make sure to note the number of place values rather than simply looking at the value of the first digit in the number.

What is the next number in the sequence: 5, 9, 17,33,...?

65 The next number is found by multiplying the number by 2 and then subtracting one from the product.

What is the next number in the sequence: 3, 8, 18, 38...?

78. The next number is taken by adding one to each number and then multiplying this sum by 2.

What is the next number in the sequence: 5, 10, 20, 40,...?

80 The next number is found by multiplying the previous number by 2.

A box of staples has a length of 6 cm, a width of 7 cm, and a volume of 378 cm cubed. What is the height of the box?

9 cm volume / (width * length) = height Volume is calculated as the product of length, width, and height, so if height is set as Y: 6 x 7 x Y = 378. This can be rearranged to 378 / 42 = Y = 9.

PRODUCE REDUCE These words: A: Have similar meanings. B: Have opposite meanings. C: Have neither similar nor opposite meanings.

B: Have opposite meanings. To produce something is to bring it into existence, while to reduce it is to take part of it out of existence.

VINTAGE NOVELTY These words: A: Have similar meanings. B: Have opposite meanings. C: Have neither similar nor opposite meanings.

B: Have opposite meanings. Vintage refers to something old, while novelty refers to something new.

RESUME ASSUME These words: A: Have similar meanings. B: Have opposite meanings. C: Have neither similar nor opposite meanings.

C: Have neither similar nor opposite meanings. Resume - commendation or honor given for some action, quality, etc.: Assume - to take for granted or without proof:

PUNISH SKIRMISH These words: A: Have similar meanings. B: Have opposite meanings. C: Have neither similar nor opposite meanings.

C: Have neither similar nor opposite meanings. To punish is to penalize, while a skirmish is a small fight.

ASPIRE SPIRE These words: A: Have similar meanings. B: Have opposite meanings. C: Have neither similar nor opposite meanings.

C: Have neither the same nor different meanings. To aspire to something is to set it as a goal, while a spire is the pointed top of a building, especially a church.

Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy a special highway engine oil that will save him 50 cents in gas for every 25 miles of the trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he has a coupon for $4 dollars off the price?

No Arnold will only save $10 by using the oil (.5 x (500 / 25)), and this is still $6 less than the cost of the oil.

CONVERT INVERT These words: A: Have similar meanings. B: Have opposite meanings. C: Have neither similar nor opposite meanings.

A: Have similar meanings. Both of these words can mean to change the purpose or direction of something. Convert - to change (something) into a different form or properties; transmute; transform. Invert - to turn or change to the opposite or contrary, as in nature, bearing, or effect: