Scholar Tests · Set 1
PSAT practice test, Grade 10
Name ______________________ Date ____________
Reading and Writing
Circle the letter of the best answer. About 12 minutes.
Jazz improvisation
In many jazz performances, musicians do not simply play a written score. Instead, they ______ new melodies on the spot, responding to one another and to the mood of the audience.
1.Which choice gives the most logical and precise word or phrase for the blank?
- Ainvent
- Bmemorize
- Cpurchase
- Dsilence
Finding exoplanets
Most planets outside our solar system are far too dim to see directly. Astronomers instead ______ their presence indirectly, watching for the tiny dip in a star's brightness that occurs when a planet passes in front of it.
2.Which choice gives the most logical and precise word or phrase for the blank?
- Adeny
- Bprevent
- Cinfer
- Dphotograph
Sea otter fur
Sea otters spend most of their lives in cold ocean water, yet they have almost no body fat. Instead, they rely on the thickest fur of any animal, with up to a million hairs in a single square inch. Air trapped between the hairs keeps the otter's skin dry and warm.
3.What is the main purpose of the text?
- ATo describe the diet that keeps sea otters healthy in the ocean
- BTo explain how sea otters stay warm without much body fat
- CTo argue that sea otters need protection from cold water
- DTo compare sea otters with other ocean mammals
The Pony Express
Launched in April 1860, the Pony Express carried mail between Missouri and California using a relay of riders who changed horses at stations along the route. A letter could cross the distance in about ten days, far faster than by stagecoach. The service was costly to run, however, and in October 1861 a telegraph line was completed across the continent, allowing messages to travel in minutes. The Pony Express closed only two days later.
4.According to the text, what led to the end of the Pony Express?
- ALetters sent by riders often took longer than ten days to arrive.
- BThe stations along the route ran short of fresh horses.
- CA telegraph line that crossed the continent was finished.
- DStagecoaches began delivering mail more quickly than riders could.
Garden pollinators
Students at one middle school planted purple and white flowers side by side in their garden. For one week, they recorded every time a bee, butterfly, or fly landed on a flower of each color. The students concluded that the bees in their garden favored purple flowers. The graph supports this conclusion, since it shows that ______
5.Which choice most effectively uses data from the graph to complete the statement?
- Aflies made more visits to white flowers than to purple flowers.
- Bbees made fewer visits to purple flowers than flies made to white ones.
- Cbutterflies visited purple and white flowers almost equally often.
- Dbees made 24 visits to purple flowers and only 9 to white ones.
Library windows
In our text, an architect designing a new public library placed most of its windows high on the walls, just below the ceiling. She explained that direct sunlight slowly fades book covers and creates harsh glare on pages, while light entering near the ceiling bounces off the pale ceiling and spreads softly through the room. The architect most likely chose high windows because they ______
6.Which choice most logically completes the text?
- Alet readers look out at the street more easily.
- Bkeep the library darker than most buildings.
- Ccost less to build than ordinary windows do.
- Dgive light without shining straight onto books.
Roman harbor walls
Some Roman harbor walls have survived two thousand years of crashing waves, and researchers credit one surprising ingredient for their ______ which reacted with volcanic ash to form new minerals inside the concrete.
7.Which choice completes the text so that it follows the conventions of Standard English?
- Astrength; seawater,
- Bstrength: seawater,
- Cstrength seawater,
- Dstrength. Seawater,
Glacial lakes
Scientists closely monitor the lakes that form at the edges of melting mountain glaciers. Because ______ walls are often made of loose rock and ice, they can give way suddenly and send floods into the valleys below.
8.Which choice completes the text so that it follows the conventions of Standard English?
- Aits
- Bit's
- Cthere
- Dtheir
Learning guitar
Ana wanted to learn the guitar before her cousin's birthday party. First, she practiced simple chords for twenty minutes each evening. ______, she learned to switch between them smoothly while strumming. Finally, she played the whole song for her family.
9.Which choice gives the most logical transition for the blank?
- AInstead
- BIn contrast
- CFor instance
- DAfterward
Mantis shrimp eyes
While researching a topic, a student has taken the following notes:
• Humans have three types of color receptors in their eyes.
• Mantis shrimp have between 12 and 16 types.
• In experiments, mantis shrimp were worse than humans at telling apart very similar colors.
• Researchers think mantis shrimp may recognize colors quickly rather than finely.10.The student wants to present a surprising finding about mantis shrimp. Which choice most effectively uses relevant information from the notes to accomplish this goal?
- AResearchers think that mantis shrimp may recognize colors quickly rather than finely.
- BDespite having 12 to 16 types of color receptors to our three, mantis shrimp were worse than humans at telling apart similar colors.
- CMantis shrimp have between 12 and 16 types of color receptors in their eyes.
- DHumans have only three types of color receptors in their eyes.
Math
Circle the letter of the best answer. Where a question has no choices, write the answer on the line. About 16 minutes.
- 1.
A line in the xy-plane passes through the points (−5, 8) and (−8, −1). What is the slope of the line?
- A−3
- B1/3
- C3
- D−7/13
- 2.
Kayla sold 32 large and small plants at a school fair. Each large one cost $24 and each small one cost $4. She collected $528 in all. How many small plants did Kayla sell?
Answer
- 3.
The price of a jacket changed from $140 to $119. By what percent did the price decrease?
- A85%
- B15%
- C21%
- D18%
- 4.
2x + 8 = −x + 14
What value of x is the solution to the equation above?- A−2
- B2
- C3
- D6
- 5.
The number of bacteria in a sample doubles every hour. At the start there are 710. Which function f gives the amount t hours after the start?
- Af(t) = 710(2t)
- Bf(t) = 2(710)t
- Cf(t) = 710 + 2t
- Df(t) = 710(2)t
- 6.
A cylinder has a radius of 4 meters and a height of 13 meters. What is the volume of the cylinder, in cubic meters?
- A208π
- B52π
- C832π
- D104π
- 7.
The density of aluminum is 2.7 grams per cubic centimeter. A solid block of aluminum is a rectangular prism 6 centimeters by 9 centimeters by 9 centimeters. What is the mass, in grams, of the block?
- A486
- B64.8
- C180
- D1,312.2
- 8.
The functions f and g are defined by f(x) = −2x + 6 and g(x) = x² − 8. What is the value of f(g(5))?
- A17
- B13
- C−28
- D8
- 9.
What is the positive solution to the equation 3x² − 3x − 216 = 0?
Answer
- 10.
For the linear function f, f(−1) = 2 and f(4) = 17. What is the value of f(−5)?
Answer
Written by Scholar Tests in the style of the published PSAT question types. Not a real PSAT test, and a practice score is not a real score.