Scholar Tests · Set 3
SSAT practice test, Grade 8
Name ______________________ Date ____________
Quantitative
Circle the letter of the best answer. About 12 minutes.
- 1.
Ethan is now 3 times as old as Lucas. In 2 years' time Ethan will be 2 times as old as Lucas. How old is Ethan now?
- A4
- B8
- C2
- D6
- E7
- 2.
If 25x = 625x − 4, what is the value of x?
- A4
- B7
- C8
- D16
- E9
- 3.
A bike hire shop charges $7 for the helmet and $3 for each hour. Which formula gives the cost, C dollars, for h hours?
- AC = 3(h + 7)
- BC = 7h + 3
- CC = 10h
- DC = 3h + 7
- EC = 21h
- 4.
One printer would print the whole job on its own in 20 minutes. A second printer would print it on its own in 5 minutes. If both work at the same time, how long do they take together?
- A4
- B25
- C13
- D15
- E3
- 5.
What is the distance between the points (3, 3) and (27, −4)?
- A31
- B25
- C56
- D625
- E17
- 6.
What is 4.4 × 10²?
- A104.4
- B4,400
- C44
- D440
- E8.8
- 7.
Three corners of a quadrilateral measure 45°, 136° and 143°. How big is the fourth angle?
- A46°
- B34°
- C36°
- D324°
- E216°
- 8.
In the drawing below, the two lines marked with arrows are parallel. What is the size of the angle marked x?
- A60°
- B102°
- C138°
- D42°
- E120°
- 9.
Find the value of x.
8(x + 9) = 136- A17
- B26
- C9
- D8
- E7
- 10.
The table shows how the students in two classes get to school. Some numbers are missing. Each row and each column adds up to its total. What number belongs in the cell marked ? in the table?
- A240
- B142
- C250
- D525
- E260
Reading
Circle the letter of the best answer. About 10 minutes.
Third Row, Aisle Seat
Let me be clear about one thing: I was only at the recital because my mother had confiscated my car keys until I agreed to go. I had quit piano two years earlier, at fifteen, and I had never regretted it for a single afternoon. Lessons had been a weekly sentence, Mrs. Abernathy's metronome ticking like the clock in a dentist's waiting room. When I stopped, I felt nothing but relief, and I said so to anyone who asked, and to several people who did not.
So I sat in the third row of the community hall with my arms folded, prepared to be bored. The program listed eleven students. My sister, Lena, was ninth, playing a Chopin nocturne, the one in E-flat. I knew it was the one in E-flat only because it was printed in the program.
The first eight performers were what you would expect. A boy in a clip-on tie rushed through a minuet as though it were chasing him. A girl stopped twice in the same measure and started over both times, her face burning. I happened to notice that she had been fine until her left hand crossed over, which is where everyone gets lost, but I mention it only because it was obvious.
Then Lena walked out. She sat, adjusted the bench a quarter of an inch, and waited, which is something Mrs. Abernathy used to tell us to do and which I never once managed. The opening was steady. By the second page she had sped up slightly, and I caught myself leaning forward, because the trill near the bottom of that page is a trap if you take it too fast, and she was taking it too fast.
She didn't fall into it. She came out of the trill clean and let the last chord ring until it dissolved into the hum of the heating vents. People applauded. I applauded too, because it would have been rude not to.
Afterward, in the lobby, Lena found me by the table of lemon bars.
"You were doing it again," she said.
"Doing what?"
"Your fingers. On your knee. The whole time." She grinned. "You played the entire left hand. Mom saw."
I told her that was ridiculous, that it was a nervous habit, that it could have been any song at all. She just took a lemon bar and went off to find her teacher.
On the drive home, with my keys returned, I did not turn on the radio. When we got back, I went upstairs and rearranged a few things in my closet, nothing important, just a box of old sheet music I had been meaning to throw out for two years and had somehow kept forgetting to. I set it on my desk, where it would be easier to remember.
1.Which best describes what happens in the passage?
- AA piano teacher persuades a former student to return to lessons after a two-year break.
- BA narrator who insists he no longer cares about piano reveals his attachment to it at his sister's recital.
- CA young pianist overcomes her stage fright and wins first prize in a community competition.
- DA brother and sister argue about which of them is the more talented pianist in the family.
- EA teenager is punished by his mother for refusing to attend his younger sister's recital.
- 2.
According to the narrator, what did Lena do before she began to play?
- AShe bowed to the audience and smiled.
- BShe asked her teacher for her sheet music.
- CShe adjusted the bench slightly and waited.
- DShe set a metronome on top of the piano.
- EShe looked for her brother in the third row.
- 3.
The narrator's claim that he knew which nocturne Lena would play "only because it was printed in the program" most likely suggests that he
- Awas not told in advance which piece Lena had chosen
- Bnoticed several printing errors in the evening's program
- Chas never heard any of Chopin's music before tonight
- Darrived too late to hear the opening of Lena's piece
- Eknows the music far better than he is willing to admit
- 4.
As it is used in the passage, the word "sentence" most nearly means
- Aa group of words expressing a thought
- Ba short phrase of music
- Can official announcement
- Da written statement of opinion
- Ea punishment to be endured
- 5.
What is the most likely purpose of the final paragraph?
- ATo show that the narrator has finally thrown his old music away
- BTo hint that the narrator may be reconsidering his decision to quit piano
- CTo confirm that the narrator found the whole recital boring
- DTo suggest that the narrator plans to begin teaching Lena
- ETo explain why the narrator's mother returned his car keys
Looking Back in Time
On a clear night, the stars seem to hang in a single moment, as if the sky were a photograph taken just now. In fact, it is something stranger: a collage assembled from many different pasts. Every point of light you see left its source long ago, and each has been traveling for a different length of time.
The reason is that light, though astonishingly fast, is not instantaneous. In empty space it covers about 186,000 miles every second. That speed is so great that for much of history people assumed light arrived the instant it was given off. One of the first serious challenges to that idea came in the 1670s, when the Danish astronomer Ole Romer noticed that the eclipses of Jupiter's moon Io came earlier or later than predicted, depending on whether Earth was moving toward Jupiter or away from it. The most reasonable explanation was that light needed extra time to cross the extra distance. Light, in other words, had a finite speed, and that speed could be measured.
Once that was established, distance and time became two ways of describing the same thing. Sunlight takes a little more than eight minutes to reach Earth, so we always see the Sun as it was about eight minutes earlier. For greater distances, astronomers use the light-year, a unit that sounds like a measure of time but is actually a measure of length: the distance light travels in one year, nearly six trillion miles.
Finding out how far away a particular star is proved far harder. The method that finally worked is called parallax. Hold a finger at arm's length and look at it first with one eye and then with the other; the finger appears to jump against the background. Astronomers do the same thing on an enormous scale, observing a nearby star from opposite sides of Earth's orbit, six months apart, and measuring how much it seems to shift against far more distant stars. The shift is tiny, much smaller than the unaided eye can detect, and it was not measured successfully until 1838, when Friedrich Bessel reported the distance to a star called 61 Cygni.
The results were humbling. The nearest star beyond the Sun, Proxima Centauri, is a little more than four light-years away, so its light is over four years old when it arrives. The Andromeda Galaxy, often described as the most distant object visible without a telescope, is about 2.5 million light-years away. The faint smudge it makes on a dark autumn night is light that set out before modern humans existed.
This delay is not merely a curiosity; it is one of astronomy's most powerful tools. Because light from remote objects is old, telescopes that gather extremely faint light are, in effect, looking into the past. By studying galaxies at greater and greater distances, astronomers can observe the universe at earlier stages of its history, much as a geologist reads older rock in deeper layers. The night sky, it turns out, is less a picture than an archive.
6.Which best states the main idea of the passage?
- ABecause light travels at a finite speed, starlight shows the past, which lets astronomers study cosmic history.
- BBecause parallax is so difficult, the distances to most nearby stars are still unknown to science.
- CBecause Jupiter's moons move quickly, their eclipses are the best way to measure any distance.
- DBecause light travels instantly, the night sky shows every star exactly as it looks at this moment.
- EBecause stars are so remote, astronomers have largely given up on measuring how far away they are.
- 7.
According to the passage, what did Ole Romer notice?
- AJupiter's moon Io disappeared whenever Earth was on the far side of the Sun.
- BThe Andromeda Galaxy was much farther away than any star in our own galaxy.
- CSunlight took a little more than eight minutes to travel from the Sun to Earth.
- DA nearby star appeared to shift against more distant stars over six months.
- EThe timing of Io's eclipses depended on whether Earth was moving toward or away from Jupiter.
- 8.
Which conclusion is best supported by the passage?
- AA star seen tonight might have changed greatly since its light first set out.
- BAstronomers in the 1600s already knew how far away Proxima Centauri was.
- CLight slows down noticeably whenever it passes close to a planet.
- DStars that are closer to Earth always look brighter than distant galaxies.
- EParallax can be used to measure the distance to Andromeda directly.
- 9.
As it is used in the passage, the word "observing" most nearly means
- Awatching carefully
- Bcelebrating a festival
- Ccommenting briefly on
- Dhonoring the memory of
- Eobeying the rules of
- 10.
Why does the author describe holding a finger at arm's length?
- ATo illustrate the principle behind parallax with a familiar experience
- BTo suggest that readers can measure star distances at home
- CTo show that human eyesight is too weak to see distant stars
- DTo explain why Romer's measurements of Io were inaccurate
- ETo prove that the Sun is closer to Earth than any other star
Verbal
Circle the letter of the best answer. About 5 minutes.
- 1.
Telescope is to distant as microscope is to
- Alens
- Bglass
- Cscientist
- Dtiny
- Ehuge
- 2.
SCRUTINIZE
Which word means most nearly the same as the word in capital letters?
- Aborrow
- Bcelebrate
- Coverlook
- Dexamine
- Ecriticize
- 3.
ENERVATE
Which word means most nearly the same as the word in capital letters?
- Aborrow
- Bdecorate
- Cweaken
- Dinvigorate
- Eirritate
- 4.
Plagiarize is to words as counterfeit is to
- Aforgery
- Bmoney
- Cbank
- Dprison
- Ecriminal
- 5.
OBSEQUIOUS
Which word means most nearly the same as the word in capital letters?
- Aobvious
- Bfawning
- Chungry
- Dhaughty
- Enoisy
- 6.
Lethargic is to energy as destitute is to
- Amoney
- Bpoverty
- Chome
- Dtime
- Epride
- 7.
Candid is to deceptive as humble is to
- Aquiet
- Bboastful
- Cmodest
- Dshy
- Ehonest
- 8.
HACKNEYED
Which word means most nearly the same as the word in capital letters?
- Abroken
- Bwealthy
- Cnervous
- Doverused
- Eoriginal
- 9.
WANE
Which word means most nearly the same as the word in capital letters?
- Apolish
- Bwander
- Cdecrease
- Dgrow
- Eshout
- 10.
Abridge is to shorten as augment is to
- Aincrease
- Bargue
- Cdecrease
- Dapprove
- Erepeat
Written by Scholar Tests in the style of the published SSAT question types. Not a real SSAT test, and a practice score is not a real score.