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Basic Arithmetic : Ratios and Rates

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Example Questions

Example Question #1 : Unit Multipliers

How many minutes are in a 3.5 $\displaystyle 3.5$ hours?

Possible Answers:

240 $\displaystyle 240$ minutes

350 $\displaystyle 350$ minutes

320 $\displaystyle 320$ minutes

210 $\displaystyle 210$ minutes

Correct answer:

210 $\displaystyle 210$ minutes

Explanation:

Knowing that there are 60 minutes in an hour, multiply that amount by the total number of hours (3.5):

$60 \times 3.5= 210$ $\displaystyle 60 \times 3.5= 210$ minutes

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Example Question #2 : Unit Multipliers

If I want $\displaystyle 4$ yards of fabric, how many inches will I have?

Possible Answers:

144 $\displaystyle 144$ inches

$\displaystyle 48$ inches

118 $\displaystyle 118$ inches

$\displaystyle 96$ inches

Correct answer:

144 $\displaystyle 144$ inches

Explanation:

1. Find out how many feet you have:

Knowing that there are 3 feet in a yard, you have 3 x 4 yards = 12 feet of fabric.

2. Find out how many inches you have:

Knowing that there are 12 inches in a foot, you have 12 x 12 inches=144 inches of fabric.

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Example Question #3 : Unit Multipliers

A football player ran $\displaystyle 18$ yards with the football before he was tackled. How many feet did he run?

Possible Answers:

$\displaystyle 18$

$\displaystyle 54$

$\displaystyle 24$

$\displaystyle 36$

Correct answer:

$\displaystyle 54$

Explanation:

Since there are 3 feet to a yard, multiply the number of yards by 3.

$18\times3=54$ $\displaystyle 18\times3=54$

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Example Question #4 : Unit Multipliers

How many days are in 432 $\displaystyle 432$ hours?

Possible Answers:

$\displaystyle 20$

$\displaystyle 18$

$\displaystyle 24$

$\displaystyle 28$

Correct answer:

$\displaystyle 18$

Explanation:

There are 24 hours in a day. To find out how many days are in 432 hours, divide that value by 24, the total number of hours in a day.

$\frac{432}{24}=18$ $\displaystyle \frac{432}{24}=18$

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Example Question #5 : Unit Multipliers

How many centimeters are in 15.21 $\displaystyle 15.21$ meters?

Possible Answers:

1521 $\displaystyle 1521$

15210 $\displaystyle 15210$

15.21 $\displaystyle 15.21$

152.1 $\displaystyle 152.1$

Correct answer:

1521 $\displaystyle 1521$

Explanation:

There are 100 $\displaystyle 100$ centimeters in $\displaystyle 1$ meter.

$15.21\times100=1521$ $\displaystyle 15.21\times100=1521$

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Example Question #5 : Ratios And Rates

How many inches are in $\displaystyle 5$ yards?

Possible Answers:

$\displaystyle 27$

150 $\displaystyle 150$

$\displaystyle 15$

180 $\displaystyle 180$

Correct answer:

180 $\displaystyle 180$

Explanation:

First, convert yards to feet.

$5\text{ yards}\times 3=15 \text{ feet}$ $\displaystyle 5\text{ yards}\times 3=15 \text{ feet}$

Now, convert feet to inches.

$15\text { feet}\times12=180\text{ inches}$ $\displaystyle 15\text { feet}\times12=180\text{ inches}$

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Example Question #6 : Ratios And Rates

How many hours are in 540 $\displaystyle 540$ minutes?

Possible Answers:

$\displaystyle 6$

$\displaystyle 9$

$\displaystyle 15$

$\displaystyle 12$

Correct answer:

$\displaystyle 9$

Explanation:

Because there are 60 minutes in an hour, divide 540 by 60.

$540\div60=9$ $\displaystyle 540\div60=9$

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Example Question #7 : Ratios And Rates

Lucy measured that she needs $\displaystyle 8$ feet of wood to build her new bed. How many inches of wood should she buy?

Possible Answers:

$\displaystyle 81$

$\displaystyle 96$

$\displaystyle 88$

$\displaystyle 8$

Correct answer:

$\displaystyle 96$

Explanation:

To convert from feet to inches, multiply by 12.

$8\times12=96$ $\displaystyle 8\times12=96$

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Example Question #8 : Ratios And Rates

How many minutes are there in $\displaystyle 8$ days?

Possible Answers:

192 $\displaystyle 192$

11520 $\displaystyle 11520$

9080 $\displaystyle 9080$

1440 $\displaystyle 1440$

Correct answer:

11520 $\displaystyle 11520$

Explanation:

First, convert the number of days into number of hours.

$8\times24=192 \text{ hours}$ $\displaystyle 8\times24=192 \text{ hours}$

Next, convert the hours into minutes.

$192\times60=11520\text{ minutes}$ $\displaystyle 192\times60=11520\text{ minutes}$

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Example Question #8 : Ratios And Rates

How many feet are in $\small 3.5$ $\displaystyle \small 3.5$ miles?

Possible Answers:

$\small 18,480$ $\displaystyle \small 18,480$ feet

$\small 15,840$ $\displaystyle \small 15,840$ feet

$\small 17,500$ $\displaystyle \small 17,500$ feet

$\small 1,509$ $\displaystyle \small 1,509$ feet

$\small 5,280$ $\displaystyle \small 5,280$ feet

Correct answer:

$\small 18,480$ $\displaystyle \small 18,480$ feet

Explanation:

When doing unit conversions, it's essential to know how many of the one unit equals how many of the other. In this case, we need to know that $\small 5280$ $\displaystyle \small 5280$ feet $\small = 1$ $\displaystyle \small = 1$ mile. Therefore, $\small 3.5$ $\displaystyle \small 3.5$ miles equals:

$\small \small \frac{3.5 \ miles \times 5280\ feet}{1\ mile}=18,480\ feet$ $\displaystyle \small \small \frac{3.5 \ miles \times 5280\ feet}{1\ mile}=18,480\ feet$

Our final answer is therefore $\small 18,480$ $\displaystyle \small 18,480$ feet.

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Basic Arithmetic : Ratios and Rates

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #1 : Unit Multipliers

Example Question #2 : Unit Multipliers

Example Question #3 : Unit Multipliers

Example Question #4 : Unit Multipliers

Example Question #5 : Unit Multipliers

Example Question #5 : Ratios And Rates

Example Question #6 : Ratios And Rates

Example Question #7 : Ratios And Rates

Example Question #8 : Ratios And Rates

Example Question #8 : Ratios And Rates

All Basic Arithmetic Resources

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