PSSA Practice Questions (2026) — Free Sample Questions with Answers

14 free PSSA questions from our 150-question bank, grouped by content domain. Each answer explains why the right option is right — and why every wrong option is wrong.

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Literature Text

Question 1

This question has two parts. Answer Part One and then answer Part Two.

Part One

How is the way the events are told in Passage 1 different from the way they are told in Passage 2?

Read the following passages about the same winter night. Passage 1 is "Soup by Candlelight" by Bianca Holt. Passage 2 is "The Knock at Number Nine" by Daniel Kwan. Then answer the questions that follow.

Passage 1: Soup by Candlelight

1Everyone on Linden Street knew to stay away from Mr. Alvarez. At least, that's what I thought. He lived alone in the gray house next to ours, and the only time I had ever heard him speak was the summer he yelled at my little brother, Dev, for chasing a ball across his yard.

2So when the ice storm knocked out the power on our whole street, I did not expect to spend the evening at his kitchen table.

3It started around four o'clock. The lights flickered, buzzed, and went dark. The refrigerator stopped humming. By dinnertime, our house was so cold that I could see my breath. Mom lit candles and heated a pot of vegetable soup on our little camping stove.

4Then she looked out the window at the gray house. "There's no light at all over there," she said. "Mr. Alvarez doesn't have a fireplace. Let's bring him some soup."

5"Mom, no," I said. "He doesn't like people." I was sure he would slam the door in our faces.

6But Mom was already filling a thermos. Dev grabbed the flashlight, and the three of us crunched across the frozen yard. My heart was pounding as Mom knocked.

7For a long time, nothing happened. Then the door opened a crack. Mr. Alvarez stood there wrapped in two sweaters and a wool hat. "What do you want?" he said sharply.

8Mom held up the thermos. "Soup," she said. "And company, if you'd like it."

9He looked at the thermos. He looked at us. Then, to my surprise, he opened the door wide.

10His kitchen was even colder than ours. We sat close together around the table while Dev aimed the flashlight at the ceiling so the light spread around the room. Mr. Alvarez ate two bowls of soup without saying a word. Then he pointed at an old photograph on the wall of a woman kneeling in a garden full of red flowers.

11"That's my sister, Lucia," he said. "She planted every tulip in that yard. When she moved to Arizona to be near her grandchildren, I promised to keep them growing just the way she liked." He looked at Dev. "That's why I yelled about the ball. I'm sorry I never explained."

12Dev's mouth fell open. So did mine.

13For the next two hours, Mr. Alvarez told us stories about the street when he was a boy, back when it was a dirt road and every kid on the block went skating on the pond behind it. He even laughed, a rusty laugh that sounded like it hadn't been used in a long time.

14When the power came back on near midnight, all of us cheered. Walking home, I looked back at the gray house. A light was glowing in the kitchen window, and Mr. Alvarez was waving.

15I waved back. I had been wrong about him for a long time.

Passage 2: The Knock at Number Nine

1By six o'clock, Felipe Alvarez had put on his second sweater. The furnace had gone silent when the power failed, and the cold crept in under the doors like water.

2He sat at the kitchen table in the dark and listened to the ice ticking against the windows. He had a flashlight somewhere, but he could not remember where Lucia used to keep it. Lucia had always known where everything was.

3Across the yard, he could see candlelight moving in the Greenes' windows. He thought about walking over. He could ask if they had an extra blanket. But then he remembered the summer he had shouted at their boy for running through the tulips. They probably thought he was a grumpy old man. Maybe he was.

4"I'll be fine," he said out loud to the empty kitchen. The words did not sound very sure.

5At seven o'clock, someone knocked. Felipe's heart jumped. He did not want anyone to see how cold the house had become, or how much he had hoped someone would come. He pulled his hat down low and opened the door just a crack.

6"What do you want?" The words came out sharper than he meant them to.

7Mrs. Greene stood on the step with a thermos. Beside her were her two children, the boy with the flashlight and the girl, who looked like she wanted to run home.

8"Soup," Mrs. Greene said. "And company, if you'd like it."

9Felipe felt something loosen in his chest. He opened the door wide.

10The soup was thick with carrots and beans, and it was the first warm thing he had eaten all day. He was so grateful that he could not think of anything to say, so he simply ate. When he finally looked up, he saw the girl glance at Lucia's photograph on the wall.

11Suddenly he wanted them to know. He told them about Lucia and her tulips, and he apologized to the boy. The children's faces changed from worried to curious. Soon Felipe was telling stories he had not told in years—about sledding down Linden Street when it was still a dirt road, and about the pond where everyone skated in winter.

12When the lights blinked back on, the children cheered. Felipe walked them to the door and stood in his warm, bright kitchen, waving until they reached their own porch.

13After they were gone, he found Lucia's old flashlight in the drawer by the stove, right where it had always been. He set it on the table where he could see it. Tomorrow, he decided, he would bake something and carry it next door himself.

Show answer & explanation

Answer: D

Passage 1 is told by Mr. Alvarez, and Passage 2 is told by the girl who brings him soup.: Reverses the narrators: Passage 1 is told by the girl ("I said"), and Passage 2 is told by an outside narrator.

Passage 1 tells what happens before the storm, and Passage 2 tells what happens after the storm.: Both passages tell about the same night during the storm; they differ in who tells it, not when.

Passage 1 shares the thoughts of every character, and Passage 2 shares only the girl's thoughts.: Reverses the two passages: the girl in Passage 1 can only guess what others think.

Passage 1 shares only the girl's thoughts, and Passage 2 shares what Mr. Alvarez thinks and feels.: Correct. Passage 1 is first person ("I was sure he would slam the door"), so readers know only the girl's thoughts. Passage 2 is third person and tells Mr. Alvarez's private thoughts and feelings.

A first-person narrator ("I") knows only his or her own thoughts; a third-person narrator can tell readers what a character thinks inside.

Question 2

This question has two parts. Answer Part One and then answer Part Two.

Part One

Which statement best describes a theme of the passage?

Read the following passage, "The Kite for Windy Hill" by Corinne Abbott, about a girl who builds a kite for a contest. Then answer the questions that follow.

The Kite for Windy Hill

1Spring Kite Day at Windy Hill Park was only two days away, and Delia Brooks had a plan. She would build her own kite, fly it higher than anyone else's, and maybe even win the blue ribbon for "Best Homemade Kite."

2"Kits are easy," she told her older brother, Ezra, as she dumped a bag of wooden sticks, paper, and string onto the kitchen table. "I'll be done before dinner."

3Ezra picked up the folded instructions. "Step four says to let the glue dry overnight before you attach the sail."

4"Overnight?" Delia groaned. "That's way too long. A little glue will dry in an hour." She squeezed a thick line of glue where the two sticks crossed, pressed them together, and counted to sixty. Then she taped the paper sail to the frame, tied on the string, and raced outside.

5The wind tugged at the kite as soon as she lifted it. For one wonderful second, it climbed. Then there was a soft crack. The cross stick slid sideways, the sail folded in half, and the kite spun into the grass like a dropped leaf.

6Delia stomped back inside. "This kit is junk," she said. "I'm going to ask Mom to buy one at the store."

7Ezra didn't argue. Instead, he pointed at the crooked birdhouse on the windowsill. "Do you know why that roof leans?" he asked. "I built it when I was your age. I nailed it together before the paint dried, and the whole thing slid. The second one I made is the one the wrens live in now."

8Delia looked at the birdhouse for a long moment. Then she sighed and pulled the broken kite toward her.

9This time she read every step out loud. She measured the cross stick with a ruler so it sat exactly in the middle. She wrapped thread around the joint before adding glue, just as the instructions showed. Then she did the hardest thing of all: she left the frame on the table and went to bed. The next morning the joint was rigid, as hard as stone. She stretched the sail tight, checked each knot twice, and wound the string neatly around a cardboard tube.

10On Kite Day, the air over Windy Hill was barely moving. Bright store-bought kites rose a few feet and then flopped back down. Delia ran, let out a little string, waited, and let out a little more. Slowly, steadily, her red kite climbed until it was a small square against the clouds.

11Near the bottom of the hill, a girl of about six named Fiona was crying over a tangle of string. Delia handed her own spool to Ezra and knelt beside her. "Don't pull," she said. "Pick out one loop at a time." Together they freed the string, and soon Fiona's kite wobbled into the sky beside Delia's.

12Delia didn't win the blue ribbon. It went to a boy whose kite was shaped like a dragon. But when the judge asked how she had gotten her kite to fly on such a calm day, Delia grinned. "I waited for the glue to dry," she said.

Show answer & explanation

Answer: B

Winning a prize is the best reward for working hard.: Delia does not win the ribbon, yet the story ends happily, so the story does not present a prize as the best reward.

Taking the time to do a job carefully leads to better results.: Correct. Delia rushes and the kite breaks (paragraph 5); she then reads every step and lets the glue dry, and her kite is the one that climbs on a calm day. She even credits the success to patience: "I waited for the glue to dry," she said.

Things made at home always work better than things from a store.: An over-generalization from one detail (the store kites flop); the story is about how Delia works, not where a kite comes from.

Helping a younger child matters more than winning a contest.: Helping Fiona is one late event; it is not what Delia learns across the whole story, and the ending ties her success to waiting, not to helping.

A theme is the lesson the main character learns across the whole story; check it against how the problem starts and how it is solved.

Informational Text

Question 3

This question has two parts. Answer Part One and then answer Part Two.

Part One

How is the information in Text 1 different from the information in Text 2?

Read the following two texts about the total solar eclipse of April 8, 2024. Text 1 is a journal entry, "Four Minutes of Night," by Kendall Ames. Text 2 is an article, "When the Moon Covered the Sun," by Gordon Ellis. Then answer the questions that follow.

Text 1: Four Minutes of Night

1April 8, 2024 — Erie, Pennsylvania

2Today I saw the sun disappear. I am writing this down right away so I don't forget a single thing.

3We drove to the shore of Lake Erie with what felt like half the town. At first, the sky was full of thin clouds, and I was worried that we would miss everything. Dad kept saying, "Give it time." My little sister fell asleep on the blanket, and I ate two peanut butter sandwiches while I watched the clouds drift slowly over the water.

4The man on the radio said the moon would first touch the sun at 2:02 p.m. A little after two o'clock, I put on my eclipse glasses and looked up. A tiny bite was missing from the edge of the sun, as if someone had nibbled a cookie.

5For the next hour, the bite got bigger and bigger. The sunlight looked strange, kind of silvery, and the shadows of the leaves on the sidewalk turned into little crescent shapes. Dad read from his phone that the air can get several degrees cooler during an eclipse. The air got cooler, and I pulled on my sweatshirt.

6We found a spot on the sand next to a family from Ohio who had driven all morning to be there. Their dad told us that Erie was inside the path of totality. Their little boy had made a viewer out of a cardboard box, and he let me look inside. On a piece of white paper at the bottom, the sun was a small, bright circle.

7Then everything happened fast. The last sliver of sun turned into a bright dot, and then it was gone. Dad said, "Glasses off—now!"

8Where the sun had been, there was a black circle with a glowing white ring around it, soft and wispy like cotton candy. A planet was shining nearby. It felt like evening, but all around the edges of the sky, there was a sunset glow in every direction.

9The strangest part was the sound. The birds that had been chattering in the trees went quiet. People all around us cheered and clapped, and then some of them got quiet, too. I felt shivery, and it wasn't only because of the cold.

10It felt like only a few seconds, but Mom checked her watch and said it was almost four minutes. Then a flash of light burst from one edge, and we all put our glasses back on fast.

11Afterward, everybody on the beach started talking at once. A man next to us said he had seen three eclipses before, and this was the best one. Mom just kept smiling and shaking her head as if she couldn't believe it.

12Driving home took forever because of all the traffic. I didn't mind. I kept thinking about that black circle. Dad says the next total eclipse you can see from the lower 48 states won't happen until 2044. I will be thirty years old. I am already planning to go. This time, I will bring my own notebook, and I will start writing the second it is over.

Text 2: When the Moon Covered the Sun

1A Rare Event On April 8, 2024, millions of people across North America looked up as the moon passed directly between Earth and the sun. For a few minutes, the moon completely blocked the sun's bright face. This event is called a total solar eclipse.

2The moon is about 400 times smaller across than the sun, but the sun is also about 400 times farther away from Earth. That is why the two look nearly the same size in the sky, and why the moon can cover the sun so exactly.

3A partial eclipse, when the moon covers only part of the sun, can be seen from a large area. A total eclipse can be seen only from inside a narrow strip called the path of totality. In 2024, the path was a little more than 100 miles wide. It crossed Mexico, ran across the United States from Texas to Maine, and continued into eastern Canada.

4Erie, Pennsylvania, was one of the cities inside the path. Officials there prepared for months, expecting crowds of visitors.

5What People Notice Scientists and skywatchers have described the same changes during many total eclipses. As the moon covers more of the sun, the light grows dim, and the temperature can drop by several degrees. Under trees, the small gaps between leaves work like tiny pinhole cameras, so the shadows on the ground can turn into crescent shapes.

6When totality begins, the sky darkens quickly. Bright planets and stars may appear. The sun's outer layer, called the corona, becomes visible as a pale glow around the dark disk of the moon. Many animals act as if night has come. Birds may stop singing and return to their nests.

7Just before and just after totality, a last bead of sunlight may shine at the edge of the moon. Together with the thin glowing ring, it looks like a ring with a sparkling jewel. Skywatchers call this the diamond ring effect.

8Staying Safe It is never safe to look directly at the sun when any part of it is showing. Viewers must wear special eclipse glasses or use a safe viewer. Only during totality, when the sun is completely covered, can people safely look without protection. As soon as the sun begins to reappear, the glasses must go back on.

9The Next Chance A total solar eclipse happens somewhere on Earth about every year or two, but any one place may wait hundreds of years between them. The next total solar eclipse that can be seen from the contiguous United States, the 48 states that border one another, will happen on August 22, 2044.

Show answer & explanation

Answer: C

Text 1 explains why eclipses happen, but Text 2 describes one family's day.: Reverses the texts: the journal tells about one family's day, and the article explains the event.

Text 1 describes only the partial eclipse, but Text 2 describes only totality.: Both texts describe both parts: Text 1 tells about the "tiny bite" and the black circle, and Text 2 explains the partial eclipse and totality.

Text 1 tells how the eclipse felt to someone who saw it, but Text 2 gives general facts.: Correct. Text 1 is a firsthand account with "I" and personal feelings ("I felt shivery"); Text 2 is a secondhand account that explains the eclipse in general terms.

Text 1 tells about the eclipse in 2044, but Text 2 tells about the eclipse in 2024.: Both texts are about the 2024 eclipse; 2044 is only mentioned as the next one.

A firsthand account is told by someone who was there and includes feelings; a secondhand account reports information about the event.

Question 4

This question has two parts. Answer Part One and then answer Part Two.

Part One

What is the main idea of the passage?

Read the following passage, "Dancing Directions" by Helena Briggs, about how honeybees share information. Then answer the questions that follow.

Dancing Directions

1A honeybee that finds a patch of flowers full of sweet nectar has a problem. Thousands of her sisters back at the hive could help gather the food, but she cannot point, draw a map, or say a word. Instead, she dances.

2A Hive Full of Workers A honeybee colony can have tens of thousands of bees. Most of them are female worker bees. Younger workers stay inside the hive, where they clean, build wax comb, and care for young bees. Older workers become foragers. Foragers fly out to collect nectar and pollen from flowers. A forager may visit hundreds of flowers on a single trip.

3Finding good flowers takes time and energy, so the whole colony benefits when one forager can tell the others exactly where to go. Scientists call the message she gives the waggle dance.

4The Waggle Dance When a forager returns from a rich patch of flowers far from the hive, she climbs onto the comb among the crowd of bees. She runs forward in a straight line while shaking her body rapidly from side to side. This straight part is called the waggle run. At the end of the run, she circles back to her starting point, first to one side and then to the other. Then she does the waggle run again and again. Her path looks like a figure eight.

5The other bees press close to her. It is dark inside the hive, so they cannot watch the dance the way we would. Instead, they feel her movements with their antennae and pick up the scent of the flowers on her body.

6Directions in the Dark The waggle run gives two important pieces of information. The first is direction. Bees use the sun as a guide. The comb hangs straight up and down, so the dancer uses "up" on the comb to stand for the direction of the sun. If she waggles straight up the comb, the flowers are in the same direction as the sun. If she waggles a little to the right of straight up, the flowers are a little to the right of the sun.

7The second piece of information is distance. The longer the waggle run lasts, the farther away the flowers are. A short waggle means the food is fairly close. A long waggle means the bees have a long flight ahead of them.

8For flowers very close to the hive, foragers usually do a simpler dance, circling in small loops without a long waggle run. This "round dance" tells the other bees that food is nearby and that they should search the area close to home.

9Cracking the Code For hundreds of years, beekeepers saw bees dancing, but no one knew what the dances meant. Karl von Frisch, an Austrian scientist, studied bees for many years to find out. He set out dishes of sugar water at different distances and directions from a hive. Then he marked the bees that visited each dish with tiny dots of paint and watched how they danced when they returned. Again and again, the direction and length of the waggle run matched the location of the dish.

10Von Frisch's discovery changed how people think about insects. It showed that a creature with a brain smaller than a grain of rice can share exact information with others. In 1973, he shared the Nobel Prize, one of the highest honors in science, for his discoveries about animal behavior.

The Waggle Dance and the Sun
Inside the hivewaggle runreturnreturnupWaggle run points straight upOutside the hivesunflowersflight pathhive
When the waggle run points straight up the comb, the flowers are in the same direction as the sun.
Show answer & explanation

Answer: C

A honeybee colony has many workers that do different jobs.: A detail from the section "A Hive Full of Workers," not the idea the whole passage develops.

Karl von Frisch won a Nobel Prize for studying bee behavior.: An important detail from the last section, but most of the passage explains the dance itself.

Honeybees use a dance to tell other bees where to find food.: Correct. The passage opens with "she dances," explains what the waggle run shows about direction and distance, and ends with the scientist who proved the dance carries this information.

Bees use the sun as a guide when they fly to flowers.: A detail that explains one part of the dance (direction), not the main idea of the whole passage.

The main idea is the point that most paragraphs support; details from a single section are too narrow.

Conventions of Standard English

Question 5

Which revision corrects the error in the paragraph?

Read the paragraph.

(1) Every morning, Ms. Kowalski's class feeds the fish in the tank. (2) The students in the front row takes turns sprinkling the food. (3) Each student writes the date on a chart. (4) Then the class checks that the water is clean.

Show answer & explanation

Answer: B

In sentence 1, change feeds to feed.: Class is one group, a singular subject, so feeds is correct.

In sentence 2, change takes to take.: Correct. The subject is students (plural); "in the front row" is a phrase between them, so the verb must be take.

In sentence 3, change writes to write.: Each student is singular, so writes is correct.

In sentence 4, change checks to check.: The class is singular, so checks is correct.

Find the true subject before choosing the verb; ignore phrases such as "in the front row" that come between them.

Text-Dependent Analysis

Question 6

Which introduction would best replace paragraph 1 of the draft?

Read the following two passages. Passage 1, "Folding a Wish" by Esther Fong, is about the art of origami. Passage 2, "Freya's Cranes" by Gloria Hendricks, is a story about a girl who folds paper cranes. Then read the essay prompt and a student's draft, and answer the questions that follow.

Passage 1: Folding a Wish

1Take a square of paper. Fold it in half, then fold it again. With enough careful folds, and no scissors or glue, that flat square can become a frog that hops, a box that holds, or a bird with wings that flap. This is the art of origami.

2An Old Art The word origami comes from two Japanese words: ori, meaning "folding," and kami, meaning "paper." People in Japan have folded paper for hundreds of years. Long ago, paper was expensive, so folded paper was saved for special events such as weddings. Over time, as paper became cheaper, origami became something that children and adults everywhere could enjoy.

3Some origami models use just a few folds. Others use hundreds and take hours to finish. Many models begin with the same basic folds. In a valley fold, the paper is folded toward you, so the crease sinks down like a valley. In a mountain fold, the paper is folded away from you, so the crease points up like a mountain ridge.

4The Thousand Cranes One of the best-known origami shapes is the crane, a tall bird with long legs and wide wings. In Japan, the crane is a symbol of long life and good fortune. An old tradition says that a person who folds one thousand paper cranes may be granted a wish.

5Folding a thousand cranes takes a long time, so people often work together. Friends and families fold cranes and string them into long chains called senbazuru. They give the chains as gifts to people who are sick, as a wish that they will get well. Cranes are also given at weddings and birthdays to wish someone happiness.

6Folding for the Future Origami is more than a craft. Folding paper requires following steps in order, lining up edges carefully, and making sharp creases. It also requires picturing how a flat shape will become a solid one. Many teachers use origami to help students learn about shapes, angles, and patterns.

7Engineers use origami ideas, too. Some objects that are sent into space, such as solar panels, must be packed into a small space for the launch and then open up to a large size. Engineers have studied origami folds to design objects that fold flat and then spread open smoothly. Scientists are also exploring origami ideas for tiny medical tools that could unfold inside the body.

8Whether it is a gift for a friend or part of a spacecraft, a folded shape shows how much can come from a single sheet of paper. The next time you hold a plain square of paper, remember that it might become a gift, a lesson, or even a tool.

Passage 2: Freya's Cranes

1The first crane Freya ever folded looked more like a crumpled napkin. One wing was bigger than the other, and the neck flopped over as if the bird were very tired.

2"That's all right," said Mr. Ibarra, her art teacher. "Everyone's first crane looks like that. The paper teaches you."

3Freya needed the paper to teach her fast. Her grandfather's eightieth birthday party was only three weeks away. When Mr. Ibarra told the class about the tradition of the thousand cranes, Freya raised her hand before he finished talking. "Could we fold them for my grandpa?"

4The class voted yes. Twenty-four students, a thousand cranes. Mr. Ibarra wrote the math on the board: about forty-two cranes each.

5At first, Freya folded too fast. She pressed her creases with her thumbnail before the edges lined up, and her cranes came out lopsided. Twice she tore the paper and had to start over. What if they never finished in time? She wanted to crumple the whole stack and throw it away.

6Then she remembered something Grandpa always said when they worked on puzzles together: "Slow hands, steady heart." She took a breath. She lined up each corner exactly before pressing. She ran her finger along each crease once, firmly. Her tenth crane stood up straight. Her twentieth had wings that matched.

7Every day at lunch, the class folded. Some students folded cranes from wrapping paper, some from old maps, and one boy folded his from the comics section of the newspaper. Freya folded hers from bright blue paper, Grandpa's favorite color. As the pile grew, the room grew quieter. Folding, Freya noticed, made worried thoughts slow down.

8Some days were harder than others. On the day Mr. Ibarra counted and the class was still three hundred cranes short, Freya could barely make her fingers work. Mr. Ibarra sat beside her and folded with her, crease for crease, without saying a word. By the end of lunch, she had finished six cranes, and her hands had stopped shaking.

9After three weeks, they counted. Nine hundred ninety-nine. Mr. Ibarra handed Freya one last square of blue paper. "The thousandth is yours," he said.

10That Saturday, Freya and her mother carried the cranes into the community center in a laundry basket, strung on long threads like colorful rain. Her aunt helped them hang the chains along the windows of the party room. When the sun came through, the paper birds glowed. Grandpa's oldest friend said he had never seen so many cranes in one room.

11Grandpa looked at them for a long time. Then he reached for Freya's hand. "A thousand wishes," he said softly. "How did you find the patience?"

12Freya smiled. "Slow hands," she said.

13"Steady heart," Grandpa finished. Then he laughed so hard that his glasses slipped down his nose.

Essay prompt: Write an essay analyzing how both passages show that folding paper can be more than a hobby. Use evidence from both passages to support your response.

Student Draft

1(1) Lots of people fold paper. (2) It is fun.

2(3) In "Folding a Wish," the author explains that folding paper cranes can be a way to send a wish to someone who is sick. (4) Friends and families string cranes into chains called senbazuru. (5) They give them as gifts.

3(6) In "Freya's Cranes," Freya's class folds a thousand cranes for her grandpa. (7) ______ the folding helps Freya. (8) She learns to have patience and to slow down her worried thoughts. (9) She folds the paper and makes the lines sharp.

4(10) That is why paper is good.

Show answer & explanation

Answer: A

Both passages show that paper folding is more than a hobby: a crane can carry a wish and calm the folder.: Correct. It refers to both passages and states a controlling idea that answers the prompt and matches the body paragraphs.

Origami comes from the Japanese words ori and kami, and people in Japan have folded paper for many years.: A fact from Passage 1 only; it does not state a controlling idea or mention Passage 2.

In "Freya's Cranes," Freya's grandpa is turning eighty, so her class folds a thousand cranes for him.: Summarizes Passage 2 only; it leaves out Passage 1 and does not answer the prompt.

Paper folding is a fun hobby that anyone can enjoy, even without scissors or glue.: Uses a true detail from Passage 1 but calls folding only a hobby, which is the opposite of the prompt's idea that it can be more than a hobby.

When a prompt names both passages, the introduction must name both and state one controlling idea that covers them.

Question 7

Which two pieces of evidence from the passage would best support the student's controlling idea that Gus's feelings about gardening change? Select two answers.

0 of 2 selected
Show answer & explanation

Answer: A, D

"Gardening is just dirt and waiting," he said. "Nothing even happens.": Correct. This shows how Gus feels at the beginning, which the essay needs to show a change.

"Plants are tougher than they look," she said.: These are Mrs. Hale's words; they do not show Gus's feelings.

"That night, Mom sliced one of the tomatoes for dinner.": An event at the end, but it says nothing about how Gus feels.

"But the waiting is the part where everything happens.": Correct. Gus repeats the idea of "waiting" but now says it is when "everything happens," which shows his feelings have changed.

"The tomatoes turned from green to orange to deep, shiny red.": Shows the tomatoes changing, not Gus's feelings changing.

To prove a change, pair evidence from the beginning with evidence from the end that shows the opposite feeling.

Numbers and Operations in Base Ten

Question 8

Which number rounds to 460,000 when it is rounded to the nearest ten thousand?

Show answer & explanation

Answer: C

  1. 1. To the nearest ten thousand, look at the thousands digit.
  2. 2. 451,600: thousands digit 1 → 450,000.
  3. 3. 454,999: thousands digit 4 → 450,000.
  4. 4. 457,812: thousands digit 7 → round up → 460,000.
  5. 5. 465,300: thousands digit 5 → round up → 470,000.
  6. 6. Only 457,812 rounds to 460,000.

451,600: Looks at the hundreds digit (6) instead of the thousands digit (1); 451,600 rounds to 450,000.

454,999: Rounds in steps (454,999 → 455,000 → 460,000). Look only at the thousands digit, 4, so 454,999 rounds down to 450,000.

457,812: Correct. The ten thousands digit is 5 and the thousands digit is 7. Since 7 ≥ 5, round up to 460,000.

465,300: Drops the digits after the ten thousands place instead of rounding; the thousands digit is 5, so 465,300 rounds up to 470,000.

Round in one step: look at the digit just to the right of the rounding place, never at digits farther right.

Numbers and Operations—Fractions

Question 9

Selena ran mile. Victor ran mile.

Which statement correctly compares the distances and gives a correct reason?

Show answer & explanation

Answer: B

  1. 1. Common denominator of 4 and 6: 12.
  2. 2. 3/4 = 9/12 and 5/6 = 10/12.
  3. 3. 10/12 > 9/12, so Victor ran farther.
  4. 4. Check with benchmarks: Selena is 1/4 mile short of 1 mile and Victor is only 1/6 mile short, so Victor is closer to 1.

Selena ran farther, because fourths are larger pieces than sixths.: Fourths are larger pieces, but Victor has more pieces; the size of the pieces alone does not decide which fraction is greater.

Victor ran farther, because = and = .: Correct. With a common denominator of 12, Victor ran 10/12 mile and Selena ran 9/12 mile, and 10/12 > 9/12.

Victor ran farther, because sixths are larger pieces than fourths.: Has the right runner but a wrong reason; sixths are smaller pieces than fourths.

They ran the same distance, because each of the two fractions is exactly one part away from a whole mile.: Each is one part less than 1, but the missing parts are different sizes: 1/6 mile is less than 1/4 mile.

A comparison of fractions needs a reason that accounts for both the size and the number of the parts, such as a common denominator.

Operations and Algebraic Thinking

Question 10

This question has more than one part.

Mr. Underwood is planting 36 pepper plants in a rectangular array. Every row will have the same number of plants.

Part A How many different factor pairs does 36 have?

Use the information about Mr. Underwood's pepper plants to answer Parts A and B.

Enter a whole number.
Show answer & explanation

Answer: 5 factor pairs

  1. 1. Test each number from 1 up: 1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6.
  2. 2. 5 does not divide 36 (36 ÷ 5 = 7 R1); after 6 the pairs repeat (9 × 4, 12 × 3 …).
  3. 3. 36 has 5 factor pairs.
  4. 4. Check: the factors are 1, 2, 3, 4, 6, 9, 12, 18, 36 — nine factors, with 6 paired with itself.

List factor pairs in order from 1; stop when the factors start to repeat.

Question 11

Westbrook Elementary is taking its fourth graders on a field trip. - There are 4 classes with 27 students in each class. - 13 adults are also going. - Each van holds 8 people.

What is the fewest number of vans needed so that every student and adult has a seat?

Show answer & explanation

Answer: D

  1. 1. Students: 4 × 27 = 108.
  2. 2. People: 108 + 13 = 121.
  3. 3. 121 ÷ 8 = 15 R1 (8 × 15 = 120).
  4. 4. The 1 person left over needs a van, so 15 + 1 = 16 vans.
  5. 5. Check: 16 vans hold 16 × 8 = 128 ≥ 121, but 15 vans hold only 120.

13: Leaves out the 13 adults and drops the remainder: 108 ÷ 8 = 13 R4.

14: Leaves out the 13 adults: 108 students need 14 vans, but the adults need seats too.

15: Drops the remainder: 121 ÷ 8 = 15 R1 leaves 1 person without a seat.

16: Correct. There are 4 × 27 = 108 students and 13 adults, so 121 people. 121 ÷ 8 = 15 R1, and the 1 extra person needs another van: 16 vans.

When a remainder means some people still need a place, round the quotient up to the next whole number.

Geometry

Question 12

Which list names only shapes that always have at least one pair of perpendicular sides?

Show answer & explanation

Answer: D

square, rhombus, right triangle: A rhombus can be a square, but most rhombuses have no right angles, so a rhombus does not always have perpendicular sides.

rectangle, parallelogram, right triangle: A parallelogram can be a rectangle, but it can also slant with no right angles.

rectangle, square, trapezoid: Some trapezoids have right angles, but many have none, so a trapezoid does not always have perpendicular sides.

rectangle, square, right triangle: Correct. Rectangles and squares always have four right angles, and a right triangle always has one, so each shape always has perpendicular sides.

Perpendicular sides meet at a right angle; a shape "always" has them only if its definition requires a right angle.

Measurement and Data

Question 13

In the figure, angle PQR measures 125°. Ray QS divides angle PQR into two angles that do not overlap. Angle PQS measures 48°.

Which equation can be used to find x, the measure of angle SQR in degrees?

Angle PQR divided by ray QS
QPSR48°x°
Show answer & explanation

Answer: C

  1. 1. Angle PQS + angle SQR = angle PQR.
  2. 2. 48 + x = 125.
  3. 3. x = 125 − 48 = 77°.
  4. 4. Check: 48 + 77 = 125.

: Treats angle PQR as a right angle; it measures 125°, not 90°.

: Treats the whole figure as a straight angle; rays QP and QR do not form a straight line.

: Correct. The two smaller angles add to angle PQR: 48 + x = 125, so x = 125 − 48 = 77.

: Adds the parts; angle SQR is part of angle PQR, so it must be smaller than 125°.

When a ray splits an angle into two non-overlapping angles, the parts add to the whole, so an unknown part = whole − known part.

Question 14

A protractor is placed on angle KLM, as shown. Ray LK passes through 0 on the outer scale.

What is the measure of angle KLM?

Angle KLM on a protractor
01801017020160301504014050130601207011080100909010080110701206013050140401503016020170101800LKM
Show answer & explanation

Answer: B

  1. 1. Ray LK lines up with 0 on the outer scale.
  2. 2. Follow the outer scale to ray LM: it passes the mark halfway between 60 and 70.
  3. 3. The angle measures 65°.
  4. 4. Check: angle KLM is acute, and 65° < 90°.

25°: Subtracts the reading from 90°; the protractor measures the angle directly.

65°: Correct. Ray LK is on 0 of the outer scale, so read the outer scale where ray LM crosses: halfway between 60 and 70, at the 65 mark. The angle is acute, so 65° makes sense.

70°: Reads the labeled number just past ray LM instead of the 5-degree mark that the ray passes through.

115°: Reads the inner scale, which starts at 0 on the other side; the angle is acute, so it must be less than 90°.

Read the scale that starts at 0 on one ray of the angle, and check that the measure fits the angle type (acute < 90°).

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