Question

1) Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parents' anniversary party, how many cakes will he need? A) 5 cakes B) 6 cakes C) 10 cakes D) 11 cakes 2) If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio bananas to all fruit? A) 1:2 B) 1:3 C) 1:4 D) 1:6 3) What is 34% written as a ratio? A) 34:1 B) 34:10 C) 34:100 D) 34:1000 4) Given that a 12 foot long piece of steel pipe weighs 5 pounds per foot, how much does it weigh in kilograms per meter? 1 pound = 0.454 kilograms 1 foot = 0.305 meters A) 6.34 kg/m B) 6.84 kg/m C) 7.44 kg/m D) 7.94 kg/m 5) Your job is to sort and sack marbles for sale. A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles? A) 1:2 B) 1:3 C) 2:1 D) 2:3 6) Clark gives 3 10 of his allowance to charity. What percent of his allowance does Clark give to charity? A) 0.3% B) 3% C) 30% D) 33% 7) Falling Stars Video Game Level 1 2 3 4 5 Number of Stars 20 25 30 35 40 Total Possible Points 1000 1250 1500 1750 2000 Kyle has created a video game called Falling Stars in which the player zaps stars from the sky. A certain number of stars must be zapped before the player can move on to the next level. Each zapped star is worth the same number of points on each level. The table shows how many stars will need to be zapped and the points that can be earned at each level. Without extending the table, Kyle wants to know how many stars will need to be zapped in Level 30. Which expression can be used to help Kyle find the answer? How many stars will need to be zapped in Level 30? A) 5(30) + 40; 190 stars B) 5(40) + 25; 225 stars C) (30 + 5) + 40; 75 stars D) 5(30 - 5) + 40; 165 stars 8) Find the cell phone plan that has the best dollar per minute rate. A) 240 minutes for $50 a month B) 140 minutes for $70 a month C) 200 minutes for $45 a month D) 800 minutes for $250 a month 9) Which circle has the LARGEST percent shaded blue? A) B) C) D) 10) 1 mile = 5,280 feet 1 foot = 0.3048 meters Convert 5 miles to meters (round to the nearest meter). A) 1,609 meters

Answer 1

Answer:

1. D

2. D

3. C

4. C

5. C

6. C

7. D

8. A

9. No question given (shown)

10. 8047 meters

Step-by-step explanation:

1.

If 2 cakes feed 11 people, then 1 cake feeds $\frac{11}{2}=5.5$ people

To find how many cakes it will require to feed 58 people, we divide 58 by 5.5:

$\frac{58}{5.5}=10.55$

We can't make fractional cakes, so we will need 11 cakes.

Answer choice D is right.

2.

To get ratio of banana to all fruit, we make the fraction with total number of bananas on top and total number of fruits on bottom.

Total bananas = 4

Total fruits = 12 +4 +8 = 24

So the ratio is $\frac{4}{24}$

Reducing it, we get $\frac{4}{24}\\=\frac{1}{6}$

We can write this as 1:6

Correct answer D

3. "What is 34% written as a ratio?"

To write in ratio (fraction), we divide the number in front of the percent sign (which is 34) by 100. So we have $\frac{34}{100}$

We can write this as 34:100

C is right

4.

First, 5 pounds per foot for 12 foot is 12 * 5 = 60 pounds

We need to change foot to meter and pounds to kg. We need two unit ratios for this. It is shown below:

$\frac{60Pounds}{12Feet}*\frac{0.454Kg}{1Pound}*\frac{1Feet}{0.305Meters}\\=\frac{(60)(0.454)}{(12)(0.305)}\\=7.44\frac{Kg}{Meters}$

Answer choice C is right.

Note: in the calculation above, pounds and pounds cancel as well as feet and feet cancel

5.

To get ratio (fraction) of blue to red marbles, we divide total number of blue by total number of red.

Total blue = 60 (given)

Total red = 90 - 60 = 30

So Ratio is $\frac{60}{30}=2:1$

Answer choice C is right.

6. Clark gives $\frac{3}{10}$ to charity, this in percentage is 30%

We do long division and get a decimal and then multiply the decimal by 100 and stick a "%" sign after that:

$\frac{3}{10}=0.3\\0.3*100=30$

Hence 30%

Answer choice C is right.

7.

The first 5 level points are 20, 25, 30, 35, & 40. As we can see from the pattern, for each level inrease, the number of stars increase by 5.

Fifth level is 5 * 8 = 40

-------------------------------- Now,

• Sixth level will be 40 + 5(6 -5) = 40+5=45
• Seventh level will be 40 + 5(7 -5) = 40 + 5(2)=50
• Eight level will be 40 + 5(8 -5) = 40 + 5(3) = 55

Seeing the pattern, 30th level would be : 40 + 5(30 -5) = 40 +5(25) = 165

Answer choice D gives us the correct answer.

8.

To get dollar rate per minute, we divide dollars by minutes for each and whichever is lowest, that is the BEST.

A) 240 minutes for $50 a month: $\frac{50}{240}=.21$ dollars per minute

B) 140 minutes for $70 a month: $\frac{70}{140}=.50$ dollars per minute

C) 200 minutes for $45 a month: $\frac{45}{200}=.23$ dollars per minute

D) 800 minutes for $250 a month: $\frac{250}{800}=.31$ dollars per minute

So we can see that the lowest and best rate is that of A).

Answer choice A is correct.

9. Question not given (shown).

10. "1 mile = 5,280 feet 1 foot = 0.3048 meters Convert 5 miles to meters (round to the nearest meter)."

We first change 5 miles to feet, and then to meters by setting up the ratio shown below:

$5Miles*\frac{5280Feet}{1Mile}*\frac{0.3048Meters}{1Feet}\\=5(5280)(0.3048)\\=8046.72$ meters

*Note: miles and miles cancel and feet and feet cancel when doing the conversion

Rounded to nearest meter, 8047 meters

Answer 2

Kyle has created a video game called Falling Stars in which the player zaps stars from the sky. A certain number of stars must be zapped before the player can move on to the next level. Each zapped star is worth the same number of points on each level. The table shows how many stars will need to be zapped and the points that can be earned at each level.

Without extending the table, Kyle wants to know how many stars will need to be zapped in Level 30. Which expression can be used to help Kyle find the answer? How many stars will need to be zapped in Level 30?

the answer for that is D)  5(30 - 5) + 40; 165 stars

because you multiply the number of levels between Level 30 and Level 5 by 5 stars per level. Add the number of stars needed in Level 5.

5(30 - 5) + 40

5(25) + 40

165 stars