7:[["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"Quiz\",\"name\":\"Quiz 3\",\"description\":\"Ratios and rates quiz\",\"url\":\"https://theschoolofmathematics.com/quiz/psat-8-9-ratios-rates-proportional-relationships-quiz-3\",\"educationalLevel\":\"Intermediate\",\"numberOfQuestions\":9,\"isAccessibleForFree\":true,\"about\":{\"@type\":\"Thing\",\"name\":\"Problem-Solving and Data Analysis: Ratios, Rates, Proportional Relationships\"}}"}}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https://theschoolofmathematics.com\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Quizzes\",\"item\":\"https://theschoolofmathematics.com/quiz\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Quiz 3\",\"item\":\"https://theschoolofmathematics.com/quiz/psat-8-9-ratios-rates-proportional-relationships-quiz-3\"}]}"}}],["$","div",null,{"className":"bg-gradient-to-b from-white via-gray-50 to-white","children":["$","div",null,{"className":"container mx-auto px-4 py-8 md:py-12","children":[["$","div",null,{"className":"mb-12","children":["$undefined",["$","div",null,{"className":"mb-8","children":["$","h1",null,{"className":"text-4xl md:text-5xl lg:text-6xl font-bold text-gray-900 mb-4","children":"Quiz 3"}]}],["$","div",null,{"className":"bg-white rounded-2xl shadow-lg p-6 md:p-8 border border-gray-200","children":[["$","div",null,{"className":"text-lg md:text-xl text-gray-700 mb-8 leading-relaxed prose prose-lg max-w-none","dangerouslySetInnerHTML":{"__html":"

Ratios and rates quiz

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Practice on ratios, rates, and proportional relationships including unit rates, scaling, and real-world applications.

"},"excerpt":{"rendered":"

Ratios and rates quiz

"},"featured_media":0,"featured_media_url":"$undefined","acf":{"duree_estimee":"$undefined","niveau_difficulte":"Intermediate","categorie":"Problem-Solving and Data Analysis: Ratios, Rates, Proportional Relationships","nombre_questions":9,"score_minimum":80,"ordre_questions":"Fixe","questions":[{"id":"cmrk8ezh00xgcjg8w4xks077m","texte_question":"

An object travels at a constant speed of $$8$$ centimeters per second. At this speed, how long, in seconds, will it take the object to travel $$64$$ centimeters?

","type_question":"TexteLibre","explication":"

Use the formula for time.

$$time=\\frac{distance}{speed}$$

Substitute the values.

$$time=\\frac{64}{8}$$

Divide.

$$time=8$$

Final answer: $$8$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezh30xgfjg8wjwa1b3kd","texte_question":"

The number of deer in a $$245$$-square-mile area is estimated to be $$4410$$. What is the population density, in deer per square mile?

","type_question":"QCM","explication":"

Find the population density.

$$density=\\frac{population}{area}$$

Substitute the values.

$$density=\\frac{4410}{245}$$

Divide.

$$density=18$$

Final answer: $$18$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$16$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$18$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$20$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$24$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezh60xgljg8wq0ed03hr","texte_question":"$18","type_question":"QCM","explication":"

Find the constant ratio of $$y$$ to $$x$$.

$$\\frac{y}{x}=\\frac{6}{2}$$

$$\\frac{6}{2}=3$$

So:

$$y=3x$$

When $$x=50$$:

$$k=3(50)$$

$$k=150$$

Final answer: $$150$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$100$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$120$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$150$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$300$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezh90xgrjg8w80iry9zd","texte_question":"

An object travels at a constant speed of $$15$$ centimeters per second. At this speed, how long, in seconds, will it take the object to travel $$135$$ centimeters?

","type_question":"QCM","explication":"

Use the formula for time.

$$time=\\frac{distance}{speed}$$

Substitute the values.

$$time=\\frac{135}{15}$$

Divide.

$$time=9$$

Final answer: $$9$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$6$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$9$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$12$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$15$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezhc0xgxjg8wp0pwv21b","texte_question":"

Luis converts $$6400$$ pesos to US dollars. The exchange rate is $$1$$ peso $$=0.08$$ dollars. A $$5\\%$$ fee is applied after conversion. How many US dollars does Luis receive?

","type_question":"QCM","explication":"

Convert pesos to dollars before the fee.

$$6400\\times0.08=512$$

Find the fee.

$$5\\%=0.05$$

$$512\\times0.05=25.60$$

Subtract the fee from the converted amount.

$$512-25.60=486.40$$

Final answer: $$486.40$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$486.40$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$512.00$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$480.00$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$505.60$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezhf0xh3jg8wbaa1nxk9","texte_question":"

A printer produces $$55$$ posters per minute. At this rate, how many posters does it produce in $$1$$ hour?

","type_question":"TexteLibre","explication":"

Convert $$1$$ hour to minutes.

$$1$$ hour is $$60$$ minutes.

Multiply posters per minute by minutes.

$$55\\times60=3300$$

Final answer: $$3300$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"

3300

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezhh0xh6jg8woognnent","texte_question":"

The ratio of the length of segment $$AB$$ to segment $$CD$$ is $$7:2$$. If $$AB=140$$, what is the length of $$CD$$?

","type_question":"QCM","explication":"

The ratio of $$AB$$ to $$CD$$ is $$7:2$$.

Set up the proportion.

$$\\frac{AB}{CD}=\\frac{7}{2}$$

Substitute $$AB=140$$.

$$\\frac{140}{CD}=\\frac{7}{2}$$

Cross multiply.

$$7CD=280$$

Divide by $$7$$.

$$CD=40$$

Final answer: $$40$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$20$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$30$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$40$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$70$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezhj0xhcjg8wru2xxexa","texte_question":"

The ratio of $$x$$ to $$y$$ is $$5:3$$. If $$x=75$$, what is the value of $$y$$?

","type_question":"QCM","explication":"

The ratio of $$x$$ to $$y$$ is $$5:3$$.

Set up the proportion.

$$\\frac{x}{y}=\\frac{5}{3}$$

Substitute $$x=75$$.

$$\\frac{75}{y}=\\frac{5}{3}$$

Cross multiply.

$$5y=225$$

Divide by $$5$$.

$$y=45$$

Final answer: $$45$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"

$$30$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$40$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$45$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$50$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezhm0xhijg8ws6q3zs5b","texte_question":"

A device operates at a depth of $$52$$ fathoms. What is the depth in feet? $$(1\\text{ fathom}=6\\text{ feet})$$

","type_question":"QCM","explication":"

Convert fathoms to feet.

$$1$$ fathom is $$6$$ feet.

Multiply. $$52\\times6=312$$

Final answer: $$312$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$260$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$300$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$312$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$360$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]}]},"categories":["problem-solving-and-data-analysis-ratios-rates-proportional-relationships"],"date":"2026-06-04T09:04:47.852Z","modified":"2026-07-14T05:49:52.783Z"}}],["$","div",null,{"className":"container mx-auto px-4 pb-12","children":["$","$L19",null,{"targetType":"quiz","targetSlug":"psat-8-9-ratios-rates-proportional-relationships-quiz-3"}]}]]}]}]]

Quiz 3

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