7:[["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"Quiz\",\"name\":\"Quiz 4\",\"description\":\"Percentages quiz\",\"url\":\"https://theschoolofmathematics.com/quiz/psat-8-9-percentages-quiz-4\",\"educationalLevel\":\"Advanced\",\"numberOfQuestions\":10,\"isAccessibleForFree\":true,\"about\":{\"@type\":\"Thing\",\"name\":\"Problem-Solving and Data Analysis: Percentages\"}}"}}],["$","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 4\",\"item\":\"https://theschoolofmathematics.com/quiz/psat-8-9-percentages-quiz-4\"}]}"}}],["$","div",null,{"className":"bg-gradient-to-b from-white via-gray-50 to-white","children":["$","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 4"}]}],["$","div",null,{"className":"bg-white rounded-2xl shadow-lg p-6 md:p-8 border border-gray-200","children":[["$","div",null,{"className":"text-lg md:text-xl text-gray-700 mb-8 leading-relaxed prose prose-lg max-w-none","dangerouslySetInnerHTML":{"__html":"

Percentages quiz

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Practice on percentages.

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

Percentages quiz

"},"featured_media":0,"featured_media_url":"$undefined","acf":{"duree_estimee":"$undefined","niveau_difficulte":"Advanced","categorie":"Problem-Solving and Data Analysis: Percentages","nombre_questions":10,"score_minimum":70,"ordre_questions":"Fixe","questions":[{"id":"cmrk8ezu20xs4jg8wohjjca4b","texte_question":"

The line graph shows the total amount of snow, in inches, recorded each year in Washington, DC, from $$2003$$ to $$2015$$. If $$p\\%$$ is the percent decrease in the annual snowfall from $$2003$$ to $$2007$$, what is the value of $$p$$?

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

From the graph, the snowfall in $$2003$$ is $$40$$ inches.

From the graph, the snowfall in $$2007$$ is $$10$$ inches.

Find the decrease.

$$40-10=30$$

Use the percent decrease formula.

$$percent\\ decrease=\\frac{decrease}{original}\\times100$$

Substitute the values.

$$\\frac{30}{40}\\times100=75$$

Final answer: $$75$$

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

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezu50xs7jg8wjxyc6pvl","texte_question":"

In $$2015$$, a company's revenue increased by $$12\\%$$, and in $$2016$$ it increased by another $$10\\%$$. If the $$2016$$ revenue is $$k$$ times the $$2014$$ revenue, what is the value of $$k$$?

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

A $$12\\%$$ increase means multiplying by: $$1.12$$

A $$10\\%$$ increase means multiplying by: $$1.10$$

Multiply the two growth factors.

$$k=1.12\\times1.10$$

$$k=1.232$$

Final answer: $$1.232$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$1.10$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$1.12$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$1.20$$

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

$$1.23$$

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezu80xsdjg8wy16kcq00","texte_question":"

A store marks up an item by $$150\\%$$ of its cost, then offers a discount of $$20\\%$$ on the marked price. If the original cost was $$40$$ dollars, what is the final sale price?

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

A markup of $$150\\%$$ of the cost means the marked price is:

$$100\\%+150\\%=250\\%$$

Convert $$250\\%$$ to a decimal.

$$250\\%=2.5$$

Find the marked price.

$$40\\times2.5=100$$

Apply the $$20\\%$$ discount.

$$100\\times0.80=80$$

Final answer: $$80$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$64$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$72$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$80$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$96$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezua0xsjjg8wqrx0id4n","texte_question":"

A number increases by $$30\\%$$, then decreases by $$20\\%$$. What is the overall percent change?

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

Use a starting value of $$100$$.

Increase by $$30\\%$$.

$$100\\times1.30=130$$

Then decrease by $$20\\%$$.

$$130\\times0.80=104$$

Compare the final value to the original value.

$$104-100=4$$

The overall change is a $$4\\%$$ increase.

Final answer: $$4\\%\\ increase$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$4\\%\\ decrease$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$4\\%\\ increase$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$10\\%\\ increase$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$10\\%\\ decrease$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezud0xspjg8w1w6scjen","texte_question":"

A scientist observes that a chemical concentration increases by $$25\\%$$ each hour. If the initial concentration is $$80$$ units, what is the concentration after $$2$$ hours?

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

A $$25\\%$$ increase means multiplying by: $$1.25$$

After $$2$$ hours, multiply by $$1.25$$ twice.

$$80(1.25)^2$$

Square the multiplier.

$$(1.25)^2=1.5625$$

Multiply.

$$80\\times1.5625=125$$

Final answer: $$125$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$100$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$120$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$125$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$156.25$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezuf0xsvjg8wd67afi0s","texte_question":"

A product's price is increased by $$x\\%$$, then increased again by $$y\\%$$. Which expression represents the final price in terms of the original price $$P$$?

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

An increase of $$x\\%$$ means multiplying by: $$1+\\frac{x}{100}$$

An increase of $$y\\%$$ means multiplying by: $$1+\\frac{y}{100}$$

Start with the original price $$P$$. Apply both multipliers.

$$P\\left(1+\\frac{x}{100}\\right)\\left(1+\\frac{y}{100}\\right)$$

Final answer: $$P\\left(1+\\frac{x}{100}\\right)\\left(1+\\frac{y}{100}\\right)$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$P(1+x+y)$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$P(1+x)(1+y)$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$P(1+xy)$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$P\\left(1+\\frac{x}{100}\\right)\\left(1+\\frac{y}{100}\\right)$$

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezuh0xt1jg8wjuy23n9f","texte_question":"

A tank is filled to $$60\\%$$ of its capacity. After adding $$120$$ liters, the tank is $$90\\%$$ full. What is the total capacity of the tank?

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

The tank increases from $$60\\%$$ full to $$90\\%$$ full.

Find the change in percent.

$$90\\%-60\\%=30\\%$$

The added $$120$$ liters represents $$30\\%$$ of the tank capacity.

Let the total capacity be $$x$$.

$$0.30x=120$$

Divide by $$0.30$$.

$$x=400$$

Final answer: $$400$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$200$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$300$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$400$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$600$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezul0xt7jg8w84kl5gc4","texte_question":"

A population decreases by $$15\\%$$ one year and then increases by $$20\\%$$ the next year. What is the net percent change?

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

Use a starting value of $$100$$.

Decrease by $$15\\%$$.

$$100\\times0.85=85$$

Then increase by $$20\\%$$.

$$85\\times1.20=102$$

Compare the final value to the original value.

$$102-100=2$$

The net change is a $$2\\%$$ increase.

Final answer: $$2\\%\\ increase$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$2\\%\\ decrease$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$2\\%\\ increase$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$5\\%\\ increase$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$5\\%\\ decrease$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezuo0xtdjg8w0fjiifbl","texte_question":"

A store sells an item for $$78$$ dollars after applying a $$25\\%$$ discount. What was the original price?

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

A $$25\\%$$ discount means the sale price is $$75\\%$$ of the original price.

Let the original price be $$x$$.

$$75\\%=0.75$$

Set up the equation.

$$0.75x=78$$

Divide by $$0.75$$.

$$x=104$$

Final answer: $$104$$

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$97.50$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$100$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$104$$

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

$$120$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ezur0xtjjg8w5zr6djj9","texte_question":"

A number $$n$$ is increased by $$18\\%$$ to become $$236$$. What is the value of $$n$$?

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

An increase of $$18\\%$$ means multiplying by:

$$1.18$$

Set up the equation.

$$1.18n=236$$

Divide by $$1.18$$.

$$n=200$$

Final answer: $$200$$

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

$$180$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"$$$200$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"$$$212$$","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$220$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]}]},"categories":["problem-solving-and-data-analysis-percentages"],"date":"2026-06-04T09:04:48.303Z","modified":"2026-07-14T05:49:53.253Z"}}],["$","div",null,{"className":"container mx-auto px-4 pb-12","children":["$","$L18",null,{"targetType":"quiz","targetSlug":"psat-8-9-percentages-quiz-4"}]}]]}]}]]

Quiz 4

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