Practice Test #1 - Answer Key

Math Section (30 Questions)

Directions: Choose the best answer.

What is the value of 5 + 2 × 3?
A) 11
B) 21
C) 15
D) 16
Answer: A
Which number is both a rational number and an integer?
A) 2.3
B) –6
C) π
D) √3
Answer: B
Which is NOT a whole number?
A) 0
B) 9
C) 5.5
D) 12
Answer: C
Which set does –4 belong to?
A) Natural
B) Integer
C) Irrational
D) Whole
Answer: B
What is the correct order of operations?
A) Multiplication, Addition, Parentheses, Exponents
B) Addition, Subtraction, Multiplication, Division
C) Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
D) Parentheses, Multiplication, Addition, Exponents
Answer: C
What is –9 + 12?
A) 3
B) –3
C) –21
D) 21
Answer: A
What is the square root of 49?
A) 6
B) 7
C) 8
D) 14
Answer: B
Which is a perfect square?
A) 18
B) 36
C) 24
D) 45
Answer: B
What is –3 × (–5)?
A) –15
B) 15
C) –8
D) 8
Answer: B
Which of the following is both a perfect square and an even number?
A) 9
B) 16
C) 25
D) 49
Answer: B
Which property is shown: 6 + 4 = 4 + 6?
A) Distributive
B) Commutative
C) Associative
D) Identity
Answer: B
Simplify: 4(x + 3)
A) 4x + 3
B) 4x + 12
C) 7x
D) x + 7
Answer: B
Which number is divisible by 9?
A) 18
B) 20
C) 44
D) 50
Answer: A
Which is a prime number?
A) 16
B) 21
C) 11
D) 39
Answer: C
What is the prime factorization of 24?
A) 2 × 12
B) 2 × 2 × 2 × 3
C) 3 × 8
D) 4 × 6
Answer: B
What is 0.682 rounded to the nearest tenth?
A) 0.6
B) 0.7
C) 0.68
D) 0.69
Answer: B
3.7 + 0.46 =
A) 4.13
B) 4.06
C) 4.16
D) 4.10
Answer: A
750,000 in scientific notation is:
A) 7.5 × 10⁵
B) 75 × 10³
C) 7.5 × 10⁴
D) 750 × 10³
Answer: A
Solve: 3x + 6 = 21
A) 5
B) 7
C) 8
D) 9
Answer: A
Solve: x – 5 < 12
A) x < 7
B) x < 17
C) x < 5
D) x < –7
Answer: B
Simplify: 5² × 5³
A) 10
B) 25
C) 125
D) 3125
Answer: D
What is √64?
A) 6
B) 7
C) 8
D) 9
Answer: C
Multiply: (x + 4)(x + 1)
A) x² + 5x + 4
B) x² + x + 4
C) x² + 4x + 1
D) x² + 3x + 4
Answer: A
Factor: x² – 10x + 25
A) (x – 5)²
B) (x + 5)²
C) (x – 10)(x + 2.5)
D) (x – 2)(x – 12)
Answer: A
Simplify: 18/24
A) 2/3
B) 3/4
C) 1/2
D) 3/8
Answer: A
2/5 + 1/10 =
A) 1/2
B) 1/5
C) 7/10
D) 3/10
Answer: C
What is 25% of 80?
A) 15
B) 20
C) 25
D) 30
Answer: B
How many centimeters in 3.5 meters? (1 m = 100 cm)
A) 35
B) 350
C) 3500
D) 3.5
Answer: B
A $60 backpack is discounted by 25%. What is the sale price?
A) $40
B) $45
C) $48
D) $55
Answer: B
If a bag has 6 green marbles and 9 red marbles, what is the probability of picking a green marble?
A) 1/3
B) 2/3
C) 2/5
D) 3/5
Answer: A

Reading Section (40 Questions)

Directions: Read each passage and answer the questions that follow.

Passage 1:
It was the first day at her new school, and Maya felt nervous as she walked through the crowded hallways. She missed her old friends and worried she wouldn’t fit in. By lunchtime, however, a group of classmates invited her to join them, and she felt her worries begin to fade.

According to the passage, what is the main idea?
A) Maya loves her new school immediately.
B) Maya is nervous but finds friends.
C) Maya skips lunch at school.
D) Maya gets lost in the hallway.
Answer: B
What emotion did Maya feel at first?
A) Angry
B) Nervous
C) Excited
D) Happy
Answer: B
What made Maya feel better?
A) Getting a good grade
B) Going home
C) Meeting classmates
D) Skipping class
Answer: C
Which best describes Maya’s classmates?
A) Unfriendly
B) Helpful
C) Unkind
D) Shy
Answer: B

Passage 2:
The city park is a popular place in the summer. Children play soccer, families have picnics, and people walk their dogs along the winding paths. On weekends, music fills the air from concerts at the outdoor stage.

What happens on weekends at the park?
A) Soccer games
B) Dog walks
C) Outdoor concerts
D) School events
Answer: C
According to the passage, what is a common activity at the park?
A) Shopping
B) Picnicking
C) Swimming
D) Biking
Answer: B
Which best describes the park’s atmosphere?
A) Boring
B) Busy and lively
C) Empty
D) Dark
Answer: B
Who goes to the park according to the passage?
A) Only children
B) Only families
C) A variety of people
D) Only musicians
Answer: C

Passage 3:
In ancient Egypt, the Nile River was essential for farming. Every year, the river flooded its banks, leaving behind rich soil that allowed crops to grow. Without the Nile, ancient Egyptians would not have been able to survive in the desert.

What was the main benefit of the Nile’s floods?
A) Preventing sandstorms
B) Providing rich soil
C) Stopping invasions
D) Cooling the desert
Answer: B
Why was the Nile important to ancient Egyptians?
A) For swimming
B) For fishing only
C) For farming
D) For hunting
Answer: C
What would have happened without the Nile?
A) People would still have survived easily
B) The desert would have disappeared
C) Egyptians couldn’t have survived
D) More cities would be built
Answer: C
What is the main idea of the passage?
A) Egypt has many rivers
B) The Nile made life possible in Egypt
C) Egyptians built many pyramids
D) The Nile was dangerous
Answer: B

Passage 4:
Some animals sleep during the day and are active at night. These animals are called nocturnal. Examples include bats, owls, and raccoons. Nocturnal animals often have special features, like large eyes, that help them see in the dark.

What are animals called if they’re active at night?
A) Diurnal
B) Aquatic
C) Nocturnal
D) Migratory
Answer: C
What is one adaptation of nocturnal animals?
A) Small ears
B) Large eyes
C) Bright colors
D) Long tails
Answer: B
Which of the following is NOT a nocturnal animal from the passage?
A) Bat
B) Owl
C) Raccoon
D) Dolphin
Answer: D
Why are large eyes helpful for nocturnal animals?
A) For swimming
B) For hearing better
C) For seeing in the dark
D) For running faster
Answer: C

Passage 5:
The invention of the telephone changed the way people communicate. Before the telephone, people sent letters or telegrams, which could take days or weeks to arrive. With the telephone, people could talk instantly, no matter how far apart they were.

What was one advantage of the telephone over telegrams?
A) It was more expensive
B) It allowed instant communication
C) It used more electricity
D) It was harder to use
Answer: B
According to the passage, how did people communicate before the telephone?
A) Email
B) Social media
C) Letters and telegrams
D) Cell phones
Answer: C
What is the main idea of the passage?
A) Letters were popular
B) The telephone improved communication speed
C) Phones replaced televisions
D) Telegrams were faster
Answer: B
Why did the telephone make a big impact?
A) It was invented in Egypt
B) It allowed instant conversations
C) It could send pictures
D) It could play music
Answer: B

Passage 6:
Rainbows occur when sunlight passes through raindrops in the air, bending and separating into different colors. This is why we see a spectrum of colors after a rain shower.

What causes rainbows?
A) Moonlight
B) Snow
C) Sunlight passing through raindrops
D) Wind
Answer: C
When are you most likely to see a rainbow?
A) During a snowstorm
B) After a rain shower
C) At night
D) When it’s windy
Answer: B
What happens to light in a rainbow?
A) It disappears
B) It bends and separates
C) It gets colder
D) It turns dark
Answer: B
What is the main idea of the passage?
A) Rainbows are rare
B) Rainbows are created by sunlight and raindrops
C) Rainbows only appear at night
D) Only children can see rainbows
Answer: B

Vocabulary and Reading Skills (No passage):

What does the prefix “pre-” mean?
A) After
B) Before
C) During
D) Near
Answer: B
The root “spect” means:
A) Hear
B) Look
C) Run
D) Write
Answer: B
If you don’t know a word, what should you do?
A) Skip it
B) Guess
C) Use context clues
D) Ignore it
Answer: C
Which is a type of reading comprehension question?
A) Main idea
B) Multiplication
C) Division
D) Spelling
Answer: A

Passage 7 (Poetry):
The wind dances through the trees,
Whispering secrets in the breeze.
Leaves twirl in circles on the ground,
Nature’s quiet, peaceful sound.

What is the main subject of the poem?
A) Loud music
B) A forest at night
C) The movement of wind and trees
D) Dancing people
Answer: C
What literary device is used in “the wind dances”?
A) Simile
B) Personification
C) Hyperbole
D) Metaphor
Answer: B
What word best describes the mood?
A) Peaceful
B) Angry
C) Wild
D) Mysterious
Answer: A
What does the poet mean by “whispering secrets”?
A) The wind is telling actual secrets
B) The wind is very loud
C) The wind is soft and gentle
D) The trees are talking
Answer: C

Passage 8 (Charts/Graph):

Out of 100 students, 55 like pizza, 30 like burgers, and 15 prefer salads.

What is the most popular food?
A) Burgers
B) Pizza
C) Salads
D) None
Answer: B
How many more students like pizza than salads?
A) 15
B) 30
C) 40
D) 55
Answer: C
What percent of students prefer burgers?
A) 15%
B) 30%
C) 55%
D) 45%
Answer: B
Which food is least popular?
A) Pizza
B) Burgers
C) Salads
D) They are all equal
Answer: C

Passage 9 (Geometry):

A square has four equal sides and four right angles. The area of a square is found by multiplying the length of one side by itself.

How many sides does a square have?
A) Two
B) Three
C) Four
D) Five
Answer: C
What is the area of a square with side length 5 units?
A) 10
B) 15
C) 20
D) 25
Answer: D
What is a right angle?
A) 90 degrees
B) 45 degrees
C) 60 degrees
D) 180 degrees
Answer: A
Which shape also has four right angles?
A) Triangle
B) Circle
C) Rectangle
D) Pentagon
Answer: C