Core K12 Education
The following 39 questions are from: Copyright © 2011, Core K12 Education, L.L.C. All rights reserved.
1. Evaluate the expression (62 + 4) × 3.
A 40
B 48
C 120
D 300
2.
Which rule describes the sequence of the numbers below?
4, 8, 12, 16, …
A n+3
B n+4
C 3n + 1
D 4n
3.
What is the decimal equivalent of
2
5
?
A 0.20
B 0.25
C 0.40
D 0.50
4. Which of the following fractions is equivalent to 62.5%?
A
B
C
D
1
8
3
8
5
8
7
8
5. Which of the following is the area of a square and a perfect square number?
A 40 in.2
B 60 in.2
C 80 in.2
D 100 in.2
𝟕
𝟐
6. 𝟔 𝟏𝟎 − 𝟐 𝟓 =
𝟏
𝟖
A
𝟒
B
𝟒 𝟏𝟎
C
𝟒𝟓
𝟑
𝟑
𝟗
D 𝟖 𝟏𝟎
E None of these
7.
The model below represents which number sentence?
A
B
–
–
8––5=+3
C
–
5++8=+3
5++3=+8
D
+
8––5=+3
8. Laura can fit 98 marbles in 7 small boxes. How many marbles can she fit in 2 boxes?
A 14
B 26
C 28
D 49
9.
At a local pet store, birdseed costs $0.85 per pound. How much do 14 pounds of birdseed
cost?
A $8.70
B $11.90
C $13.15
D $14.85
10.
A train going from Washington, D.C., to New York traveled at an average speed of 81 miles per
hour and completed the trip in 3 hours. The train then traveled from New York to Boston at an
average speed of 52 miles per hour and completed the trip in 4 hours. How many total miles did
the train travel between Washington, D.C. and Boston?
A 133
B 451
C 480
D 931
11.
Marta is determining which would be less expensive, buying her son’s birthday presents from a toy
web site that doesn't impose a sales tax, or at a local toy store. On the web site, the games she
wants to buy cost $5.50, $9.00 and $12.50 and shipping will be $11.40. At the local toy store, the
total cost for the same three games would be $37.00, plus 7% sales tax. Which of the following is a
reasonable solution in determining where to buy the games?
A Subtract the total cost of the games from the web site from the total cost of the games at the
toy store.
B Add the total cost of the games plus shipping from the web site, and compare it with the
total cost of the games plus the sales tax from the local toy store.
C Multiply the total cost of the three games at the toy store by 7% and compare that with the
shipping cost from the web site.
D Divide the total cost of the games at the web site by 3. Do the same for the total cost of the
three games at the local toy store. Compare the two quotients.
12.
Serena bought a CD player on sale for $126.00. The original price of the CD player was
$180.00. What was the percent discount Serena received?
A 3%
B 30%
C 54%
D 70%
13.
Ming’s Music sold a trombone for $640. Then they raised the price of the trombone by
20%. What is the new price of the trombone?
A $128
B $512
C $768
D $1,280
14.
The Lutz family drove 355 miles on 17.625 gallons of gas. If they maintain the same miles per
gallon rate, about how many gallons will they need to travel 525 miles?
A 35 gal.
B 26.1 gal.
C 11.9 gal.
D 9.7 gal.
15.
The prices of three different boxes of cereal are given in the table below.
Which has the lowest per-ounce price?
A the 20 oz. box and the 25 oz. box
B the 25 oz. box and the 50 oz. box
C only the 50 oz. box
D only the 20 oz. box
16.
Which of the following is true?
A 5 km = 50 m
B 6 km = 6000 m
C 7 km = 700 m
D 80 km = 8,000 m
17.
A half gallon of water + a quart of water + a pint of water + a cup of water is poured into an empty
gallon container. How much more water is needed to fill the gallon container?
Gallon
Half Gallon
Quart
Pint
Cup
A 1 cup
B 1 pint
C 1 quart
D 1 half gallon
18.
The elevation of Bad Water in Death Valley, California is 86 meters below sea level. The
elevation of nearby Mt. Whitney is 442 meters above sea level.
Which equation determines the differences in these elevations?
A
x = 442 – 86
C
B
x = 442 – (–86)
D
442 – x = 86
x = 86 – 442
19.
Mrs. Nacev needs to move several boxes to the basement of her building, and she wants to know if
the total weight will exceed the elevator’s 1,000-pound limit. Mrs. Nacev has 7 boxes that each
weigh 40 pounds and 7 boxes that each weigh 60 pounds. Mrs. Nacev will also ride in the elevator,
and she weighs 145 pounds. Which number sentence can she use to find t, the total weight to be
put in the elevator?
A (7 ´ 40) + (7 ´ 60) + 145 = t
B 40 + (7 ´ 60) + 145 = t
C (7 ´ 40) + 60 + 145 = t
D 7 ´ (40 + 60 + 145) = t
20.
If S represents the cost of a spoon and F represents the cost of a fork, which equation always
represents the cost of all the items shown below?
A 4S + 5F = 12.50
B 4S + 5F = 9 × 12.50
C 5S – 4F = 12.50
D 9(F – S) = 12.50
21.
Given the following diagram: Find the measure of angle 1.
A 140°
B 100°
C 50°
D 40°
22.
Each quadrant of the following coordinate grid has points indicated.
When the points are connected in each quadrant, a polygon is formed. In which quadrant will a
trapezoid be formed?
A quadrant I
B quadrant II
C quadrant III
D quadrant IV
23.
Which of the following is a pyramid?
A
24.
B
C
Look at the 2 right triangles below where angle C is congruent to angle Z,
D
.
Which method could be used to prove that the triangles are similar, triangle ABC ~ triangle XYZ.
A Divide 12 by 8 and 5 by 7.5 to see if the quotients are the same.
B Divide 5 by 12 and 7.5 by 8 to see if the quotients are the same.
C Divide 7.5 by 5 and 12 by 8 to see if the quotients are the same.
D Divide 8 by 7.5 and 5 by 12 to see if the quotients are the same.
25. If corresponding angles of 2 triangles are congruent (≅), the lengths of the corresponding sides must
be _________ for the triangles to be similar (~).
A proportional
B symmetric
C perpendicular
D complementary
26.
27.
On the coordinate grid below, at what point is vertex A plotted?
A
(8, 4)
B
(5, 2)
C
(3, 8)
D
(2, 5)
The coordinates of vertex K are (2,4). If quadrilateral KLMN is reflected across the x-axis, what are
the coordinates of K' ?
A (2, -4)
C (1, 4)
B (-2, 4)
D (-2, -4)
28.
29.
Charlotte is creating a 3-dimensional square pyramid for a class project. Which net below could
she use to make a square pyramid?
A
C
B
D
A room measures 360 square feet. Which of the following could be the dimensions of this room?
A 3 ft × 12 ft
B 120 ft × 3 ft
C 60 ft × 60 ft
D 120 ft × 30 ft
30.
If a circular swimming pool is 20 yards across, how big would a pool cover have to be to sit
exactly over the surface of the water? (Assume 𝜋 ≅ 3.14)
A
31.4 yd2
B
40 yd2
C
314 yd2
D
3,140 yd2
31.
Which formula would you use to find how many sugar cubes would be needed to fill a
rectangular prism?
A
(6 × 3) + 4
B
(6 + 3) × 4
C
(6 × 3) × 4
D
6 + (3 × 4)
32. What is the volume of the prism?
A
23 cubic units
B
112 cubic units
C
96 cubic units
D
192 cubic units
33. What is the volume of the cylinder shown?
Use the formula 𝑽 = 𝝅𝒓𝟐 𝒉. Use 𝝅 = 𝟑. 𝟏𝟒.
A 18 in.3
B 40 in.3
C 125.6 in.3
D
502.4 in.3
34. Michael, Greg, Zach and Darren finished first, second, third, and fourth in the swim race but not
necessarily in that order. Which number states all the possible ways that the four boys placed in
the race in a specific order after writing out the sample space for the possible arrangements?
A 4
B 10
C 24
D 256
35. A coin is tossed three times. What is the probability that it will land heads up on all three tosses?
A
B
C
D
1
8
1
4
1
2
1
36. Charlie made the table below, comparing the number of points scored by two middle school
teams during the first six basketball games of this season.
Which stem-and-leaf plot correctly displays these data?
37. The table below shows the number of cheesecakes Mindy’s Bakery sold on each of four days in
a particular week.
What is the average (mean) number of cheesecakes sold by Mindy’s Bakery for these days?
A 352
B 492.5
C 495.25
D 644
38. After Mr. Lewis finished correcting a math test, he made a frequency table to show the number
of students and their scores on the 20-question test. Which statistic did he use when he shared
with his fellow teachers that “most” of his students almost had perfect scores in the test?
A mean
B median
C mode
D range
39. If you conducted a class survey of the heights of each of your classmate, which statistic would
you use to state that the difference in height is less than 5 inches?
A mean
B median
C mode
D range
Grade 7 STAAR Released Questions
1. The names of 5 students and their scores on their last science test are shown in the table below.
Which students each earned a score above 85%?
A.
B.
C.
D.
Gretchen, Hector, and Isabella
Hector and Isabella
Isabella and Katy
Gretchen, Hector, and Jocelyn
2. Mr. Franklin asked each of his 30 students to select their favorite radio station.



1
3
1
5
of the students chose Station K.
of the students chose Station L.
The remaining students chose Station M.
How many students chose Station M as their favorite radio station?
A.
B.
C.
D.
10
14
6
4
3. A generator can run for 11 hours on 3 gallons of gasoline. If the gasoline costs $3 per gallon, which is
closest to the cost per hour to run the generator?
A. $9.00
B. $33.00
C. $0.82
D. $1.22
4. A 24,000-gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it
3
take to fill this pool 4 full?
A.
B.
C.
D.
450 min
560 min
600 min
150 min
5. Which situation is best represented by the equation below?
3x = 27
A. The total cost of a dinner and tip was $27. If a $3 tip was included in the total cost, what is x, the cost
of the dinner?
B. The total cost of a dinner and dessert was $27. The cost of the dinner was 3 times the cost of the
dessert. What is x, the cost of the dessert?
C. Three friends went to dinner, and each paid $27. What is x, the total amount they spent on dinner?
D. Three friends went to dinner and paid a total of $27. If they divided the bill evenly, what is x, the
amount each friend paid?
6. A triangle has 2 angles that each measure 45◦. Which of the following best describes this triangle?
A.
B.
C.
D.
Right scalene
Right isosceles
Equilateral
Obtuse isosceles
7. Which of the following statements is true?
A. All trapezoids are similar.
B. All isosceles triangles are similar.
C. All equilateral triangles are similar.
D. All rectangles are similar.
8. Triangle LMN is shown on the coordinate grid below.
If triangle LMN is reflected across the y-axis, which of the following best represents a vertex of the
resulting triangle?
A.
B.
C.
D.
(2, -6)
(-9, -7)
(-7, 2)
(-2, 6)
9. The side view of a sail on a boat is shown below. The base of the sail is 22 feet long, and the area of the sail
is 165 square feet.
What is x, the height of the sail?
A. 7.5 feet
B. 15 feet
C. 11 feet
D. 30 feet
10. A cylindrical pan has the dimensions shown below.
A formula for the volume of a cylinder is V=Bh. Which equation best represents B, the area of the base of
this pan in square inches?
1
2
2
A. 𝐵 = 𝜋(3 )2
B. 𝐵 = 𝜋(7)
C. 𝐵 = 2𝜋(7)
3
D. 𝐵 = 𝜋(2 4)(14)
11. A DVD player is in the shape of a rectangular prism. It has a length of 17 inches, a width of 10.2 inches, and
a height of 2 inches. What is the volume of the DVD player in cubic inches?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place
value.
12. Marcie and Leah are playing a game by rolling two number cubes with faces numbered 1 through 6.
Marcie gets a point when the sum of the two numbers face up on the cubes is an even number, and Leah
gets a point when the sum of the two numbers is greater than 7. The table below shows all possible sums
for the two numbers face up on the cubes.
Which girl is most likely to get a point on the first roll?
18
21
A. Marcie is more likely to get a point, because 36 < 36.
18
21
B. The girls are equally likely to get a point, because 36 = 36.
18
15
C. Marcie is more likely to get a point, because 36 > 36.
21
18
D. Leah is more likely to get appoint, because 36 > 36.
13. The ABC Trucking Company keeps records of the weekly distances driven by each of its drivers. The
distances driven by Cheryl during the last 4 weeks are shown in the table.
Which measure of the data would NOT be a good predictor of the number of miles that Cheryl may drive
next week?
A.
B.
C.
D.
Mean
Median
Mode
Range