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WorksheetsMCA Practice Test
Total questions: 147
Worksheet time: 1hrs 29mins
Which number is not rational?
−51
π
0.33333.....
95
Why is 0.27 considered a rational number?
It has a value less than 1
It has a value greater than 0
It is the same as 10027
It is the same as 70.2
Which number is not rational?
93
0.39
3.3939
3.393993999...
Which statement is true about 5−12
It is an irrational number and an integer
It is an irrational number but not an integer.
It is a rational number and in integer.
It is a rational number but not an integer.
What type of number is the quotient of 37÷13 ?
The quotient is a nonrepeating decimal that is not a rational number
The quotient is a nonterminating decimal that is not a rational number.
The quotient is a repeating decimal that is a rational numbers.
The quotient is a terminating decimal that is a rational number.
For a game, Mario guesses the location of a hidden game piece on the coordinate grid. What are the coordinates of the game piece?
(-2, 3)
(-2, -3)
(2, -3)
(2, 3)
Points P, Q, and R are 3 vertices of a rectangle.
Point S is the missing vertex. What are the coordinates of S?
(4, 1)
(-4, -1)
(-8, -2)
(-8, -1)
Point C is shown on a grid.
Which coordinate pair represents point C?
(-3, -5)
(-3, 5)
(3, 5)
(5, -3)
Which coordinate grid shows the points with (-3, 2) and (4, -4)?
In a game, each person stands in a quadrant and must catch a ball that bounces in their quadrant.
Who must catch the ball if it bounces at (-1, 9)?
Jake
Katie
Lucy
Mena
What are the coordinates of M
(-4, 1)
(-1, 4)
(1, -4)
(4,1)
Point R is shown on a coordinate grid.
Which ordered pair represents the coordinates of point R?
(-3, -5)
(-3, -4)
(-5, -2)
(-5, -3)
A number line is shown.
Which number could be in between point J and point K?
−10.6
−10.6
−10.69
−10.625
An equality is shown
−0.16 >x
−91
−72
−254
−81
−41
Which statement is true?
(You cannot use a calculator on this question)
−83>−41
−45>−56
−57< −34
−24<−37
Choose the two that are equal to each other
(You cannot use a calculator)
61
0.16
0.16
0.16
Which one is the bigger?
0.16
0.16
Which inequality is true?
−2 65>−2.833
−2.83 > −2.8
−2 65> −2.83
−2.83 >−2.8333
The variables m and n represent positive integers in the inequality shown below.
−108< −nm
For which values of m and n will the inequality be true?
(You cannot use a calculator for this question)
m = 4 and n < 5
m = 8 and n > 10
m = 9 and n < 10
m= 16 and n = 20
Luis used a microscope that magnified an object 103 times the original size. What is the value of 103 ?
Use commas in your answers in the thousandths.
(You cannot use a calculator for this question)
(a)
Bob bought a book for 25% off the original price. What fraction of the orginal price of the book did he pay.
Express your answer as a decimal.
(You cannot use a calculator for this question)
(a)
What number is equivalent to −75−15
−51
-0.15
0.2
5
At Marion Community Bank, the interest rate on a loan is 7 2518% . What is the interest rate when it is changed from a percent to a decimal?
Remember to express as a decimal. Not percent.
(a)
Which numbers are equivalent to −94 ?
−0.4
-0.49
−36−16
−7232
-0.44
What is the value of 43 ?
You cannot use a calculator on this question.
12
36
64
81
What is the value of 24 ?
No calculator allowed.
(a)
−2+4−52
No calculator allowed.
-27
-23
-8
27
What is the value of (1.5)(4.8) ?
No calculator allowed.
0.72
1.8
6.3
7.2
34+203+51
No calculator allowed.
152
72
60101
60141
What is the value of (2.5)(1.34) ?
You cannot use a calculator.
0.335
3.35
33.5
335
Simplify
(21)2⋅ 82
(a)
−43−(−410)
Write in decimal form.
No calculator allowed for this question.
(a)
1.75÷0.5
No calculator allowed.
0.35
0.875
3.1
3.5
24 ⋅ (21)3
1
34
2
38
−12+200
Anything to the 0 power=1
No calculator allowed.
-13
-12
-11
8
What is the value of (2 43)2 ?
No calculator allowed.
Remember to use the c method.
7 21
9 169
11 41
14 161
Sarah moved the game piece along the number line. The game piece started at 3.
She moved the game piece to th number that is 5 less than 3. What number did Sarah move the game piece to?
-5
-2
2
8
In a game, Jane lost 4 points in the first round, scored 2 points in the second round, scored 3 points in the third round and lost 7 points in the final round. What was Jane's total score for all 4 rounds?
No calculator allowed on this question.
(a)
When a student went to sleep, the temperature was 5°F. When he woke up, the temperature had decreased 13°F. What was the temperature when he woke up?
-18°F
-8° F
8°F
18°F
A customer buys a TV for 25% off the regular price. The regular price of the TV $199.00. How much does the customer save?
$25.00
$49.75
$149.25
$174.00
Mrs. Parson is making costumes. She uses 4 65 yards of material for each costume. How much material does Mrs. Parson need to make 9 costumes?
11 2 1yards
13 65 yards
36 65 yards
43 21 yards
On my way to determine a person's target heart rate while exercising is to subtract the person's age from 220 and multiply the result by 0.6. What is the target heart rate for aperson who is 15 years old.
117 beats per minute
123 beats per minute
130 beats per minute
211 beats per minute.
Which number is farthest from −43 on a number line?
3 32
−3 6 5
−3 98
3 127
A share stock started at 11 21 points. It went up 43 point on day 1, went up 2 21 on day 2, and dropped 1 81 points on day 3. How much was it worth at the end of day 3?
12 84
13 85
14 83
15 87
The formula I=Prt is used to calculate the amount of interest earned, I , in an account with a principal of p invested for t years at an annual interest rate r, Lana puts $2,000 into a savings account. The account earns 2% simple interest each year. How much interest will Lana earn in 1 year?
$20
$40
$100
$400
There were 150 children in kindergarten last year. There are 117 children in kindergarten this year. What is the percent of change in the number of children in kindergarten?
22% decrease
22% increase
28% decrease
28% increase
There were 450 people at a carnival.
- 15% preferred to ride the Ferris wheel
- 2011 preferred the the roller coaster
- 17.5% preferred the merry-go-round
- 81 preferred the bumper cars.
About how many preferred the merry-go-round or bumper cars?
74
135
158
210
The formula I=prt is used to calculate the the amount of interest earned, I , in an account with a principal of p invested for t years at annual interest rate of r. Jalin has $750 to invest in an account and will keep the money in the account for 3 years. He will not make any withdrawls or additional deposits. If Jalin earns $49.50 in interest, what is the annual interest rate on his account?
1.5%
2.2%
4.5%
5.1%
Billy correctly answered 80% of the questions on a math quiz. If he correctly answered 28 questions, how many questions were on the quiz?
22
35
52
63
A farmer finds that 36 inches of snow is equivalent to 4.5 inches of water. How many inches of water is equivalent to 10 inches of snow?
1.25 inches
3.6 inches
16.2 inches
80 inches
Sound travels 1,038 meters in 3 seconds. How many seconds will it take for the sound of a horn to travel 1,730 meters?
You do not need to label.
(a)
The table shows the number of pages in the books that 2 students read and the number of days it took each student to read his book.
Using the rates in the table, how many days would it take Cary to read Andy's book?
You do not need to label
(a)
An artist makes a scale drawing on a sheet of paper of a 4-inch-by-6-inch photograph. The longer side of the paper is 24 inches. What is the length of the shorter side of the paper?
9.6 inches
16 inches
22 inches
36 inches
A recipe uses 3 31 cups of milk to make 8 servings of pudding. How many cups of milk are needed to make 30 servings of pudding?
98 cup
12 21 cups
25 31 cups
26 32 cups
A box of 9 cupcakes costs $5.85. Which proportion can be used to estimate c, the cost of 5 cupcakes?
95=5.85c
9c=5.855
59=5.85c
c9=5.855
A park has 2 sandboxes. The perimeter of the small sandbox is 32 the perimeter of the larger box. If the perimeter of the smaller sandbox is 38 feet, what is the perimeter of the larger sandbox?
You do not need to label.
(a)
A family drove 390 miles across the state and then the same distance back home. The car averaged 150 miles in 2.5 hours. How many hours did the family spend driving?
3.25 hours
6.5 hours
13 hours
60 hours
Which statement describes −27 ?
27 negative units
27 units from 0
27 units from −27
27 negative units from 27
Simplify
−∣−5∣
−5
−51
51
5
What is ∣3∣ ?
-3
3
0
-3 and 3
Which equation represents a proportional relationship?
y=−x
y=∣x∣
y=x1
y=x2
Which equations represents a proportional reasoning?
y=x+2
y=x−2
y=2x
y=x2
Which equation represents a proportional relationship?
y=x5
y=61x
y=3x+1
y=x2
Which graph shows a proportional relationship?
Which graphs represent proportional relationships?
Check all that apply.
Which statement describes the graph?
It models a proportional relationship because the line passes through the origin and has a changing slope.
It models a proportional relationship because the line passes through the origin and has a constant slope.
It does not model a proportional relationship because the line passes through the origin and has a positive slope
It does not model a proportional relationship because the line passes through the origin and has a negative slope.
The slope of a line that graphs a proportional relationship is 4. Graph a line that shows this proportional relationship.
Select 2 points on the coordinate grid. A line
A 5-year old kangaroo weighed 110 pounds. He weighed 143 pounds 10 years later. In pounds per year, what was the kangaroo's average rate of growth during this time period?
1.4
3.0
3.3
6.6
The distances 2 travelers drove over a period of time are represented on the graph.
Which equation can be used to find d, the distance in miles the slower traveler drove in t hours?
d=20t
d=40t
d=60t
d=100t
Printer A prints 12 pages each minute. Printer B prints 8 pages each minute. Which equation can be used to find p, the number of pages both printers can print in m minutes?
p = m+ 12+ 8
p = (12+8)m
p = (12)(8)m
p=m12+8
The graph shows the distance that a flock of birds few over time.
How much time would it take the flock of birds to fly 700 miles?
7.8 hours
15.6 hours
22.2 hours
45.0 hours
Sam begins reading a book that has 175 pages. He starts reading at 2:00 p.m. He finishes page 50 at 2:30 p.m. At this rate, what time will he finish the entire book?
3:45 p.m
3:55 p.m
4:30 p.m
6:00 p.m
Marta drove 280 miles on the first day of a trip and used 12 gallons of gasoline. She drove 130 miles on the second day of the trip and used 9 gallons of gasoline. What was the average the number of miles per gallon for the entire trip?
14.4 miles per gallon
19.5 miles per gallon
23.3 miles per gallon
37.8 miles per gallon
A slice of bread contains 3 grams of fiber. The amount is 12% recommended daily allowance (RDA) for fiber. What is the total RDA for fiber?
8.3 grams
25 grams
30 grams
400 grams
A sailboat's original price was $12,050. Mr. Carson paid $10,604 for the sailboat. What percent discount did Mr. Carson receive?
11%
12%
14%
88%
Jane averaged 34 feet per second during a bicycle race. There are 5,280 feet in one mile. To the nearest mile per hour, what was the average speed during the bicycle race?
17 miles per hour
23 miles per hour
34 miles per hour
50 miles per hour
Anne bought a calculator that costs $30. She received 10% off her purchase and then was charged 6% tax. What was the total amount that Anne paid?
$21.20
$25.38
$28.62
$28.80
Tyrell is buying a scooter. He pays 10% of the total cost as a deposit. He will pay the remaining $78.21 when he picks up the scooter. What is the total cost of the scooter.
$86.03
$86.90
$88.21
$115.07
The length and width of an 8 inch by 12 inch photo are each reduced by 50%. They are reduced a second time by 25%. What is the perimeter of the new photo?
5 in
7.5 in
10 in
15 in
Raul drove 468 miles in 2 days at an average speed of 52 miles per hour. On the first day, he traveled 4 hours at an average speed of 62 miles per hour. What was Raul's average speed on the second day of driving?
You do not need to label.
(a)
Bart wants to purchase a new bike. He has $300. He will save d dollars each month for 12 months to have enough money to purchase the bike. Which expression gives the total amount of money Bart needs to purchase the bike?
12d+300
12d-300
300-d
12300⋅d
Joe has $20. Movie tickets are $4 each. Which inequality can be used to find t, the number of tickets he can buy?
4t≤20
4t<20
4t≥20
20t>4
One less than twice a number, x, is 27. Which equation could be used to find x?
1-27=2x
27-1=2x
27=1-2x
27=2x-1
A triangle is shown.
Which equation can be used to find the value of x?
180=2x+16
180=2x+56
180=2x-56
180=x2+16
What is the result of the first step in simplifying the expression 2(15−4)3 ?
2(11)3
2(3,375−64)
(30−8)3
(30−4)3
What is the value of 23−(−4)2 ?
(a)
Which expression is equivalent to (6+a)(b−1) ?
(1-b)(a+6)
6+ab-1
(b-1)(a+6)
6a-b
Which expressions are equal to 56?
14(8+6)
−7(−4−4)
−6(−7−2)
−32⋅6
−4(3−17)
An equation is shown.
2⋅4−2⋅3=2(4−3)
Which property, expressed in symbols, justifies this equation?
a⋅(b+c)=(b+c)⋅a
(a⋅b)⋅c=a⋅(b⋅c)
(a+b)+c=c+(a+b)
a⋅(b+c)=a⋅b+a⋅c
What is the value of 2m3 when m=0.2
0.016
0.064
1.2
10.648
To calculate body mass index, doctors use the expression h2703w , where w represents weight in pounds and h represents height in inches. What is the approximate body mass index for a person with a weight of 135 pounds and a height of 65 inches
2.5
22.5
163.0
730.0
What is the value of the expression 2n(n+2) when n=−6
6
12
19
24
What is the value of q(2r+1)+r when 2r+1=5 and q=3
15
17
18
20
What is the value of 32x−(x−7) when x=−9
-22
-8
10
22
What is the value of 4x2−2x+1 when x=3
19
31
103
139
What is the value of 4t+5(x−3y) when t=21, x=−2, and y=2
-56
-38
-32
-18
What is the value of f−3(g−5h) when f=2, g=0, and h=−1
-13
-5
7
17
A baker starts with n pounds of cocoa. He buys 200 more pounds of cocoa and and uses 7.2 pounds per day. How much cocoa does the baker start with if he uses all the cocoa in 30 days.
1.08 pounds
16 pounds
162.8 pounds
416 pounds
The equation 3x+4y=60 shows the relationship between x, the number of marbles Jack has, and y, the number of marbles Ann has. Jack has 12 marbles, how many marbles does Ann have?
4
6
24
96
Mrs. Axtell put money in an account for Mike’s school lunches at the beginning of the school year. The same amount of money is deducted from the account each school day. These deductions are the only account changes during the time shown.
How much money did Mrs. Axtell put in the account at the beginning of the school year?
$28.80
$32.40
$37.80
$39.60
The equation y=7 x+20 can be used to find y, the total cost of the trip, including a $20 transportation fee, for x children ages 3–12. The total cost of the trip for the children is $188.
The people in the remainder of the group are ages 13–64. The number of people who are ages 13–64 is 25% of the number of people who are ages 3–12. What is the final cost of the trip for the whole group?
$246
$266
$334
$376
Joe uses the equation C=35022.98A+14.06 to calculate the cost, C of painting and area of A square feet. What is the maximum area Joe can paint with $84
20 square feet
1,050 square feet
1,264 square feet
1,509 square feet
Mr Jimeno built a circular play area. The diameter of the play area is 10 feet. What is the approximate circumference of the play area? (Use 3.14 for π)
16 feet
31 feet
63 feet
79 feet
The diameter of a circular carousel is 50 feet. What is the circumference of the carousel.
(Use 3.14 for π)
16 feet
157 feet
314 feet
1,963 feet
The diameter of the bottom of a sugar cookie is 5 inches. What is the area of the bottom of the cookie? (Use 3.14 for π)
7.9 sq. in
15.7 sq. in
19.6 sq. in
78.5 sq. in.
Mr. Beal's garden is a sector of a circle.
What is the are of his garden? (Use 3.14 for π)
126 square feet
314 square feet
1,256 square feet
2,512 square feet
A radius of a bike wheel is 13.5 inches. In 1 turn of the wheel, how far will the bike roll?
(Use 3.14 for π)
42 inches
85 inches
170 inches
572 inches
What is the area of the figure. (Use 3.14 for π)
50.13 square inches
64.26 square inches
92.52 square inches
149.04 square inches
What is the area of the shaded region?
3π square inches
25π square inches
39π square inches
64π square inches
What is the volume of the cylinder
24 cubic inches
35 cubic inches
47 cubic inches
111 cubic inches
A cylinder has a height of 7 inches and a diameter of 3 inches. What is the volume of the cylinder? (Use 3.14 for π)
49.5 cubic inches
65.9 cubic inches
155.3 cubic inches
197.7 cubic inches
A cylinder has a radius of 1.5 inches and a height of 24 inches. A piece of paper is wrapped one time around the cylinder with no overlap. What is the surface area of the paper used to wrap the cylinder (Use. 3.14 for π)
113 square inches
170 square inches
226 square inches
240 square inches
The width of a rectangle is 2inches and it's length is 3 inches. The width of a similar rectangle is 1 inch. What is the perimeter of the smaller rectangle?
1.5 inches
2.5 inches
5 inches
20 inches
What scale factor was used to change ΔJKL into ΔQRS?
21
32
23
12
Katie made a scale drawing of her garage using the scale 1 inch = 3 feet. Her drawing is 9 inches long. How many feet long is the actual garage?
You do not have to label.
(a)
What is the length of JK?
1.2 cm
1.6 cm
2.4 cm
2.8 cm
What is the value of x?
20 ft
21 ft
24 ft
34 ft
Jacob and his father stand next to each other. Jacob’s father is 6 feet tall and casts a 3-foot shadow. Jacob is 4 feet tall. What is the length of Jacob’s shadow?
1 foot
2 feet
3 feet
4.5 feet
On a map, the scale is 2 1inch=20 miles . The distance between 2 towns on the map is 5 21 inches. What is the distance between the 2 towns?
25 21 miles
55 miles
110 miles
220 miles
The distance from Warroad to Baudette is 37 miles. A map uses the scale1.5 inches = 18 miles. To the nearest tenth, what is the distance on the map between the 2 cities?
You do not need to label.
(a)
On a football field, a band forms a diamond at position 1 and then moves the diamond to a different place on the field at position 2.
Which rule represents the translation of the diamond?
(x+2, y−3)
(x−2, y+3)
(x+3, y−2)
(x−3, y+2)
The rule (x−2, y+4) is used to move triangle HJK to create triangle H’J’K’. What are the coordinates for point K’?
(-1, 7)
(1, 5)
(5, 5)
(7, -1)
Which transformation occurred?
(x,y)⟶(x+2, y+5)
(x,y)⟶(x−2, y−5)
(x,y)⟶(x+5, y+2)
(x,y)⟶(x−5, y−2)
What are the coordinates of the triangle after it is reflected across the line?
(-5, -2), (-3, 0), (-2, -5)
(-2, 5), (0,3) (-5,2)
(2, -5), (0, -3), (5, -2)
(5, 2), (3, 0), (2, 5)
Ms. Nelson’s students recorded the number of minutes they spent on homework last weekend.
What was the mean number of minutes spent on homework last weekend?
40 minutes
44 minutes
55 minutes
90 minutes
The coach records the number of points the basketball team scores in each game.
35 40 40 41 39 41 41 39 38 41 34
What is the median number of points scored in the 11 games?
(a)
The table shows the mass of 1 cubic centimeter of different metals.
What is the median of the data?
You do not need to label
(a)
What did the team score in game 2 to have a mean number of points of 58 for all 5 games?
48
51
56
60
What is the mean number of points scored?
(a)
The results showed that 42% of the classmates chose strawberries and 36% of the classmates chose bananas. What percent of the students chose apples and pears?
Apples, 14%
Pears, 6%
Apples, 14%
Pears, 8%
Apples, 16%
Pears, 6%
Apples, 16%
Pears, 8%
If 25 people ordered pie, how many people ordered pudding?
2
9
14
18
All of the small triangles on the board are the same size. What is the probability that the dart lands in a shaded region?
21
169
43
79
Mr. Nobles has 4 students with black hair, 10 students with blonde hair, 9 students with brown hair, and 2 students with red hair. What is the probability that a randomly picked student has brown hair?
Express as a decimal
(a)
Kristen is playing a game with a spinner that is divided into 15 equal sections. There are 4 red, 5 blue, 2 yellow, and 4 green sections. What is the probability of the spinner landing on a red or yellow section?
Express your answer as a decimal.
(a)
What is the probability that the dart lands in the section marked 5 points?
7%
11%
13%
33%
Susan has a bag containing 6 orange erasers, 4 red erasers, and 8 white erasers. She randomly picks an eraser from the bag, looks at the color, puts the eraser back into the bag, and randomly picks another eraser. What is the probability that Susan picks a red eraser both times?
512
814
91
94
How many times should Ann expect to spin a 6 if she spins it 90 times?
9
10
15
45
A spinner has a blue section and a red section. The arrow lands in the red section 6 out of the 10 times it is spun. What is the best estimate for the number of spins required for the arrow to land in the blue section 12 times?
20
24
26
30
Which expression is equivalent to 2x+6y−x+y?
2+7y
x+7y
8xy
−2x2+6y2
The equation 3j−4k=24 shows the relationship between j, Jean’s age, and k, Katie’s age. Jean is 12 years old. How old is Katie?
3 years
15 years
24 years
48 years
EFG is similar to LMG. What is the angle of M?
(a)
−43−(−410)
Express your answer as a decimal.
(a)
Select all that are equal to 56.
14(8+6)
−7(−4−4)
−32⋅6
7⋅22−(−2⋅14)
−4(3−17)
Which of these has the greatest slope?
as y increases 2, x increases 1
y=3x
Which of these has the smallest slope?
as y increases 2, x increases 1
y=3x
What are the coordinates of the triangle after reflected on the line?
(-5, -2), (-3, 0), (-2, -5)
(-2, 5), (0,3), (-5, 2)
(2, -5), (0,-3) (5, -2)
(5,2), (3,0), (2,5)
Solve without using a calculator.
(21)2⋅82
(a)
