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CTJan27 Online Year 6 - Practice Test 17072025

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

What is the fifth term of the sequence shown in the table?
n
an
1
3
2
6
3
9
4
12
5
?
a.
18
c.
16
b.
15
d.
17
 

 2. 

A team of marine biologists has been collecting specimens of jellyfish for the past three days. If the pattern shown in the table continues, how many jellyfish will the team collect on the fourth day?
Day
Number Collected
1
9
2
12
3
15
4
?
a.
19 jellyfish
c.
17 jellyfish
b.
15 jellyfish
d.
18 jellyfish
 

 3. 

This year Sandy has completed 8 fewer drawings than three times the number of drawings she completed six years ago. Let d represent the number of drawings that Sandy completed six years ago. What expression can be used to find the number of drawings completed this year?
mc003-1.jpg
a.
mc003-3.jpg
c.
mc003-5.jpg
b.
mc003-4.jpg
d.
mc003-6.jpg
 

 4. 

If the volleyball team washes 12 more cars, then they will have met their overall goal of washing 70 cars to raise money for their season. Let c represent the number of cars that the volleyball team has washed so far. Which of the following equations can be used to solve for c?
a.
mc004-3.jpg
c.
mc004-5.jpg
b.
mc004-4.jpg
d.
mc004-6.jpg
 

 5. 

Yesterday afternoon, William collected mc005-1.jpg petition signatures. If Cindy collected half this amount, which of the following expressions represents the number of signatures collected by Cindy?
a.
mc005-4.jpg
c.
mc005-6.jpg
b.
mc005-5.jpg
d.
mc005-7.jpg
 

 6. 

Each of the following bottles contains 460 milliliters of juice. If a represents the amount of juice in a bottle, which of the following expressions best describes the amount of juice in a bottle at any given time?
mc006-1.jpg
a.
mc006-3.jpg
c.
mc006-5.jpg
b.
mc006-4.jpg
d.
mc006-6.jpg
 

 7. 

A plumbing company charges an hourly rate of $40 for labor. If the total charge for labor on a job came to $110.00, which of the following equations can be solved to find the number of hours spent on the job? Let h represent the number of hours.
a.
mc007-3.jpg
c.
mc007-5.jpg
b.
mc007-4.jpg
d.
mc007-6.jpg
 

 8. 

Mr. Jefferson is grading book reports. He knows that it takes at least 6 minutes to grade each report, more if he adds comments. He has 13 papers to grade.
He lets y = total grading time in minutes.
Which of the following best describes the total grading time to grade 13 papers?
a.
mc008-3.jpg
c.
mc008-5.jpg
b.
mc008-4.jpg
d.
mc008-6.jpg
 
 
Mr. Johnson asked his sixth grade students how many books they each read during the summer break. He then organized the data into a bar graph.
Summer Reading
nar001-1.jpg
 

 9. 

According to the bar graph above, how many students are in the class?
a.
27 students
c.
23 students
b.
29 students
d.
24 students
 

 10. 

The stem-and-leaf plot shows how many tickets were sold to the 7:15 showing of a movie over the past two weeks. On how many nights were 50 or more tickets sold?
Movie Tickets Sold
Stem
Leaf
2
3, 7, 8
3
1, 2, 3, 5, 9
4
1, 6, 7, 9
5
8, 9
 
4 | 9 = 49
a.
14
c.
3
b.
1
d.
2
 

 11. 

Karen is creating a circle graph to help her budget her monthly expenses. She figures that out of every $100 in monthly expenses, she spends $19 on utilities. Which of the following labels is most appropriate for this section of the circle graph?
a.
Karen’s Budget, 19%
c.
Utilities, 9.5%
b.
Utilities, 19%
d.
Monthly Expenses
 

 12. 

The ages of the students in a skydiving class are shown in the stem-and-leaf plot. What is the mode of the students’ ages?
Ages
Stem
Leaf
2
1, 4, 6
3
1, 1, 1, 2, 2, 9
4
2, 8, 8
5
4, 6
 
6 | 8 = 68 years
a.
27 years
c.
32 years
b.
35 years
d.
31 years
 
 
The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
7
Mar.
11
Apr.
12
May
16
June
18
July
17
 

 13. 

According to the above table, what was the average number of pools sold per month during this period? Round to the nearest tenth if necessary.
a.
14.3 pools
c.
11 pools
b.
14 pools
d.
13.5 pools
 

 14. 

The stem-and-leaf plot shows how many voters were registered by a community outreach group over the past several days. What is the range of the data?
Voter Registration
Stem
Leaf
2
2, 5, 6, 6, 6, 9
3
0, 3, 7, 7, 8
4
1, 3, 7, 8
5
0, 6
 
2 | 5 = 25 voters
a.
34
c.
22
b.
56
d.
37
 

 15. 

Mario’s suitcase contains 4 pairs of pants, 3 shirts, and 2 pairs of shoes. How many different outfits can he wear?
mc015-1.jpg
a.
12 outfits
c.
26 outfits
b.
24 outfits
d.
9 outfits
 

 16. 

Suppose a six-sided number cube is rolled one time. What is the probability of rolling a 1 or a 2?
mc016-1.jpg
a.
mc016-4.jpg
c.
mc016-6.jpg
b.
mc016-5.jpg
d.
mc016-7.jpg
 

 17. 

A pancake mix manufacturer wants to identify the most popular type of breakfast food. To achieve this, the company includes a questionnaire in 9,000 boxes of pancake mix. Will the results of the survey be biased or unbiased? Explain.
a.
The results of the survey will likely be unbiased.
b.
The results will likely be biased since only adults will fill out the surveys.
c.
The results will likely be biased since not enough people are being surveyed.
d.
The results will likely be biased since the surveys are being filled out by people who buy the company’s pancake mix.
 

 18. 

Bartolo randomly interviewed 90 patrons at a country music concert to determine their favorite type of music. Based on the results of his survey, he made the following claim:
Two out of three concert-goers prefer country music.
Which of the following statements best describes why this is not a valid claim?
a.
The concert-goers were not randomly surveyed.
b.
Bartolo only surveyed patrons at a country music concert who are probably biased toward country music.
c.
Not enough patrons at the concert were surveyed.
d.
Only people on the floor level were surveyed.
 

 19. 

In a recent survey, the residents of Tittletattle were asked how many times per week they gossiped. The results were given in the table below.
Gossip
(times per week)
Percent
3-5 times
40%
never
25%
1-2 times
20%
more than 5 times
15%
In the circle graph below, which area is represented by the letter B?
Gossiping Record
  mc019-1.jpg
a.
“more than 5 times”
c.
“never”
b.
“3-5 times”
d.
“1-2 times”
 

 20. 

In art class, the students chose from one of four mediums for their final project. Sissy created the table and corresponding circle graph. What percent should be the label for section A?
Final Project Medium
MediumPercent
oil paintsA
crayons50%
acrylic paints20%
watercolor paints10%
 
Final Project Medium
mc020-1.jpg
a.
15%
c.
10%
b.
20%
d.
25%
 

 21. 

Name a line that passes through Point C in Plane m.
mc021-1.jpg
a.
mc021-3.jpg
c.
mc021-5.jpg
b.
mc021-4.jpg
d.
mc021-6.jpg
 

 22. 

In the following figure, the base of a triangle has been extended to the right as shown. What is the measure, in degrees, of mc022-1.jpg?
mc022-2.jpg
a.
121°
c.
239°
b.
59°
d.
69°
 

 23. 

Which of the following figures has no lines of symmetry?
a.
mc023-2.jpg
c.
mc023-4.jpg
b.
mc023-3.jpg
d.
mc023-5.jpg
 

 24. 

Chu-Cha is folding square napkins for the annual picnic of the Radio Club . If the perimeter of an unfolded napkin is 28 inches, what is the area of an unfolded napkin?
mc024-1.jpg
a.
7 inches
c.
14 square inches
b.
49 inches
d.
49 square inches
 

 25. 

Brennan is looking at two triangles drawn in separate graphs. He says, “Hmm, they look alike”. How “alike” are they? That is, what is the relationship between the triangle in the left graph and the triangle in the right graph?
mc025-1.jpgmc025-2.jpg
a.
The triangles are congruent.
The right triangle has been translated up and to the right by (1¸1).
b.
The triangles are congruent.
The right triangle has been translated to the right by 1.
c.
The triangles are congruent.
The right triangle has been translated up by 1.
d.
The triangles are congruent.
They are in the same position.
 

 26. 

Brandy needs several similar triangles for a montage she is making of a mountain scene. The base of a second triangle T2 is 8 times longer than the base of a first triangle T1. What is the ratio between the perimeters of the two triangles?
mc026-1.jpg
a.
The perimeter of T1 is 8 times bigger than the perimeter of T2.
b.
The perimeter of T2 is 8 times bigger than the perimeter of T1.
c.
The perimeter of T2 is 64 times bigger than the perimeter of T1.
d.
The perimeter of T1 is 64 times bigger than the perimeter of T2.
 

 27. 

Which of the following ordered pairs best represent a vertex of the triangle in the given graph?
mc027-1.jpg
a.
(6,1)
c.
(9,6)
b.
(6,9)
d.
(1,6)
 

 28. 

What would the base of a cube look like?
a.
mc028-3.jpg
c.
mc028-5.jpg
b.
mc028-4.jpg
d.
mc028-6.jpg
 

 29. 

Kelly needs to find how much water is needed to fill a fish tank. Which of the following measures best describes this situation?
a.
temperature
c.
volume
b.
perimeter
d.
area
 

 30. 

If mc030-1.jpg, is the angle right, straight, obtuse, or acute?
a.
straight
c.
right
b.
acute
d.
obtuse
 

 31. 

Classify the following triangle according to its angle measures.
mc031-1.jpg
a.
acute triangle
c.
right triangle
b.
obtuse triangle
d.
equilateral triangle
 

 32. 

Stewart takes a piece of clay and shapes it into a square. He then pulls and presses it until it is three times as wide and three times as high as before. Describe the relationship between the areas.
mc032-1.jpg
a.
New Area is 9 times bigger than Old Area
b.
New Area is 9 times smaller than Old Area
c.
New Area is 3 times bigger than Old Area
d.
New Area is 3 times smaller than Old Area
 

 33. 

Isabella has two drawings. The height and the width of the newer drawing are 9 times wider than the height and the width of the older drawing. How does the perimeter of the newer drawing compare to the perimeter of the older drawing?
mc033-1.jpg
         Figures are NOT to scale
a.
The perimeter of the newer drawing is 81 times the perimeter of the older drawing.
b.
The perimeter of the newer drawing is 9 times the perimeter of the older drawing.
c.
The perimeter of the newer drawing is mc033-5.jpg the perimeter of the older drawing.
d.
The perimeter of the newer drawing is 18 times the perimeter of the older drawing.
 

 34. 

Urbana is making punch for the after-game party at school. The recipe calls for 4 cups of apple juice and 7 cups of grape juice and the rest is sparkling water. Urbana’s punch bowl holds 5 quarts. Which of the following expressions COULD Urbana use to determine the maximum amount, in cups, of sparkling water that can be added to the above recipe?
mc034-1.jpgmc034-2.jpgmc034-3.jpgmc034-4.jpgmc034-5.jpg
a.
mc034-10.jpg
c.
mc034-12.jpg
b.
mc034-11.jpg
d.
mc034-13.jpg
 

 35. 

Linda needs to read 20 pages of her American Literature book tonight. If she has read 3 pages of this amount so far, which of the following best describes the percent of the assignment that she has completed?
a.
between 75% and 100%
c.
between 50% and 75%
b.
between 0% and 25%
d.
between 25% and 50%
 

 36. 

Consider Points H, I, J, and K shown on the number line. Which of the four points represents the second smallest number?
mc036-1.jpg
a.
Point H
c.
Point K
b.
Point J
d.
Point I
 

 37. 

Which of the following numbers represents a value smaller than 1?
a.
mc037-1.jpg
c.
mc037-2.jpg
b.
1.7
d.
0.84
 

 38. 

Replace the blank with the appropriate phrase to make a true mathematical sentence.
62.5%  ____   mc038-1.jpg.
a.
is less than
c.
is equal to
b.
is not equal to
d.
is greater than
 

 39. 

Of the 20 students in Mr. Floyd's homeroom, 12 of them take the bus to school each morning. Express the portion of students in the class who take the bus to school each morning as a decimal.
a.
0.6
c.
0.7
b.
0.45
d.
1.667
 

 40. 

Write an expression that represents 4 squared.
a.
mc040-2.jpg
c.
mc040-4.jpg
b.
mc040-3.jpg
d.
mc040-5.jpg
 

 41. 

Which of the following expressions is equivalent to mc041-1.jpg?
a.
mc041-3.jpg
c.
mc041-5.jpg
b.
mc041-4.jpg
d.
mc041-6.jpg
 

 42. 

What is the multiplicative inverse of 7?
a.
mc042-3.jpg
c.
–7
b.
–49
d.
mc042-4.jpg
 

 43. 

A construction crew completes about mc043-1.jpg kilometers of a new highway each week. Which of the following operations can be used to find the total length of highway that the crew will complete in the next 4 weeks?
a.
subtract 4 from mc043-5.jpg
c.
divide mc043-7.jpg by 4
b.
add 4 to mc043-6.jpg
d.
multiply mc043-8.jpg by 4
 

 44. 

Which point on the number line represents the multiplicative inverse of mc044-1.jpg?
mc044-2.jpg
a.
Point M
c.
Point H
b.
Point C
d.
Point V
 

 45. 

Winona makes about $2,200 each month. Her parents are helping her plan a budget, and they recommend that she not spend more than 30% of her monthly income on rent. What is the maximum amount of money Winona can spend on rent each month and still stay within the budget guidelines?
a.
$679
c.
$2,860
b.
$660
d.
$1,540
 

 46. 

A group of students from the Spirit Squad is selling tickets to the homecoming football game this Friday night. During the first 31 minutes, the students have sold a total of 40 tickets. Based on this rate of sales, the president of the squad estimates that they will sell about 240 tickets during the first 3 hours. Does this seem like a reasonable estimate? Explain why or why not.
a.
Yes, this seems like a reasonable estimate. At the current rate they will sell about 80 tickets each hour for a total of about 240 tickets.
b.
Yes, this seems like a reasonable estimate. At the current rate they will sell about 160 tickets each hour for a total of about 240 tickets.
c.
No, this does not seem like a reasonable estimate. They will likely only sell about mc046-4.jpg tickets during the 3-hour period.
d.
No, this does not seem like a reasonable estimate. At the current rate they will sell about 160 tickets each hour for a total of about 480 tickets.
 

 47. 

Ling and Cameron are collecting stamps for a Social Studies project. Ling has collected 5 stamps. Cameron has more than 4 times that amount, but has less than 30 stamps. Which of the numbers below COULD BE the number of stamps that Cameron has?
a.
25
c.
35
b.
15
d.
10
 

 48. 

When printing maps for her geography class Catherine always uses “landscape mode” meaning the picture is printed on the paper sideways. The idea behind this is that a piece of paper has the same area no matter if it is vertical or horizontal, that is: mc048-1.jpg.
Portrait Mode
mc048-2.jpg
Landscape Mode
mc048-3.jpg
Which of the following equations correctly expresses this commutative property applied to the area of a rectangular piece of paper with dimensions (in inches) four by eleven.
a.
mc048-7.jpg
c.
mc048-9.jpg
b.
mc048-8.jpg
d.
mc048-10.jpg
 

 49. 

Find the value of the expression: mc049-1.jpg.
a.
–15
c.
–20
b.
22
d.
0
 

 50. 

Jaycee and Flor need pegboards to hang the different colored and numbered markers for their maps in geography class. Jaycee buys a square 8 × 8 pegboard and Flor buys a square 3 × 3 pegboard. What is the total number of pegs that they have to hang their markers?
a.
576
c.
70
b.
22
d.
73
 

 51. 

Kelly answered 18 out of 25 questions correctly on a math test. How can you express the ratio of correct answers to total questions as decimal?
mc051-1.jpg
a.
0.419
c.
0.72
b.
0.389
d.
0.28
 

 52. 

Approximately 1 in every 10 people is left-handed. How many left-handed people would you expect to find in a group of 350 people? Solve using the proportion below.
mc052-1.jpg
a.
35
c.
48
b.
350
d.
3,500
 

Numeric Response
 

 1. 

If the pattern of squares shown below continues, how many squares will be needed to create the fifth figure?
nr001-1.jpg

 

 2. 

Use the function table to find the value of y when nr002-1.jpg.
x
y
2
7
4
15
6
23
8
31
10
?

 

 3. 

If the pattern shown below is continued, how many Florida shapes will be in the ninth row?
nr003-1.jpg

 

 4. 

Hisano notices that when she starts her computer, the toggle key CapsLock is turned off. If she presses it once, this key turns on. If she presses it again, it turns off and so on. In mathematics we write nr004-1.jpg and nr004-2.jpg. Hisano creates a table to illustrate this situation.
CapsLock Status
Number of Times CapsLock is Pressed
0
1
2
3
4
5
6
Status of Key
off
on
off
on
?
?
?
Mathematical Status of Key
0
1
0
1
?
?
?
What is the mathematical status of the CapsLock key if it is pressed an odd number of times after Hisano starts her computer? Enter 0 for “off” and 1 for “on”.

 

 5. 

While solving a problem in mathematics, Amy uses the linear function: nr005-1.jpg. She graphs this function.
nr005-2.jpg
Read the graph to find the x-value corresponding to the y-value: nr005-3.jpg. Check that your answer satisfies the function.

 

 6. 

What will be the value of y when nr006-1.jpg?
x
y
0
–2
1
1
2
4
3
7
4
?
5
?
6
?
7
?
8
?

 
 
A botanist is experimenting with different plant foods to find an optimal growth formula. The stem-and-leaf plot shows the heights, in centimeters, of twelve rose bushes after being treated with different mixtures of plant food.
Height (centimeters)
Stem
Leaf
5
3, 5, 6, 7
6
0, 4, 6, 8, 8, 9
7
1, 2, 5
 
5 | 5 = 55 cm
 

 7. 

According to the above stem-and-leaf plot, how much taller was the tallest rose bush than the shortest rose bush?

 

 8. 

Kanya sticks a toothpick through a piece of paper. She draws a picture of this, letting the piece of paper be the plane P and the toothpick be the line m. She wants to mark the point on her picture where the toothpick meets the paper. What is the number of this point? That is, the line m intersects the plane P at T__.
nr008-1.jpg

 

 9. 

A farmer is considering installing a fence around the field with dimensions shown below. How many total kilometers of fencing would the farmer need?
nr009-1.jpg

 

 10. 

Juan is creating a mosaic pattern in the shape of a regular pentagon for his final art project. What will the perimeter of the finished product be, in centimeters? (Hint: Recall that the sides of a regular polygon all have the same length.)
nr010-1.jpg

 

 11. 

Roberto wants to cut a piece of paper in the shape of a parallelogram out of a piece of construction paper as part of a montage for art class. The construction paper is standard letter size: nr011-1.jpg inches. The base of the parallelogram is 5 inches. What is the area of the parallelogram?
nr011-2.jpg

 

 12. 

What is the measure of the angle on the protractor below? Express your answer in degrees.
nr012-1.jpg

 

 13. 

nr013-1.jpg

 

 14. 

Evaluate the expression using the correct order of operations:
nr014-1.jpg

 

 15. 

So far this week, a cross country team has jogged 7.6 miles on Monday, 7.9 miles on Tuesday, 8.9 miles on Wednesday, and 8.4 miles on Thursday. The team’s goal is to jog at least 40 miles per week. How many miles must the team jog on Friday in order to meet this goal?

 

 16. 

Sharon knows that nr016-1.jpg of her customers want to use the telephone in her shop. What percentage of her customers want to use the telephone?
nr016-2.jpg

 

 17. 

The bin in the school gymnasium contains 6 soccer balls and 10 basketballs. How can you write the ratio of soccer balls to the total number of balls contained in the bin? Express your answer as a decimal or a fraction in simplest form.

 

 18. 

What rational number is shown on the number line? Express your answer as an improper fraction or as a decimal.
nr018-1.jpg

 

 19. 

The number line shows the number of points Jason has scored in his first six basketball games. What is the greatest number of points he has scored so far?
nr019-1.jpg
nr019-2.jpg

 

 20. 

The cicada appears in the Eastern portion of the United States once every 17 years. Suppose a certain comet is only visible in the night sky once every 8 years. If the comet and the appearance of the cicada both occur in the same year, how long will it be before this happens again? Express your answer in years.

 



 
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