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UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
5
1 x is such that -1<x<0
x
2
32/160 in decimal
3
line that has the highest y-value
when x=6
4
B
Answer
4
x
0.1875
y = 2x+50
y=30x + 2
Fraction of 48 minutes in 2 hrs
Dec-60
The fourth grade has 364
students in it. They are taking a
5
23 field trip, and each bus can fit
22 people in it. How many
students will be on the last bus?
6
Area of a 23.5 cm by 19.5 cm
rectangle
2
Area of a circle with a chord
length 5 cm.
2
7
3 pi
6 pi
8
|3156-2432|
|1357-6589|
9
75% of 440
330
What is the percent increase when an
10
item that usually sells for 75 cents a
10%
pound is sold for 81 cents?
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Page 1 of 9
UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
B
Answer
A computer software retailer
11
$41
used a markup rate of 40%. Find
the selling price of a computer
game that cost the retailer $25.
Adi has 2 different coupons for
12 different amounts and he wants to
buy a computer bag for $60.
Money Adi saves using '$15 off'
coupon
Money Adi saves using '1/6 off' coupon
Harry earns $500 every month
except for July and August when he
13
vacations and earns nothing. What is
$500
his average monthly income for the
entire year?
14
Value of x in -4x + 2 = -14
-3
In a bag of small balls 1/4 are green,
15
1/8 are red, 1/6 are yellow and the
remaining 22 white. How many balls
6
are red?
© www.prepository.com
Page 2 of 9
UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
B
Answer
In a school 50% of the students
are younger than 10, 1/20 are 10
years old and 1/10 are older
16
12 than 10 but younger than 12, the
remaining 70 students are 12
years or older. How many
students are 10 years old?
17
(8x10-3) – (2x10-2)
-0.012
The division of a whole number
18
200 N by 13 gives a quotient of 15
and a remainder of 2. Find N.
A person jogged 10 times along the
perimeter of a rectangular field at
19
the rate of 12 meters per hour for 30 36 meters
minutes. What is the perimeter of
the rectangular field?
Calculate the circumference of a
20
circular field whose radius is 5
.314 cms
centimeters.
© www.prepository.com
Page 3 of 9
UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
B
Answer
N is such that when multiplied
21
1 1/2 by 0.75 gives 1. Which number is
equal to N?
Ryan had a stock of 1200 books in his
bookshop. He sold 75 on Monday, 50
22
on Tuesday, 100 on Wednesday, 25 on
60%
Thursday and 150 on Friday. What
percentage of the books were not
sold?
The rectangular playground in
Tim's school is three times as
23
40 meters
long as it is wide. The area of
the playground is 75 square
meters. What is the perimeter
of the playground?
24
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How many inches are in 3 yards 1
feet?
60 inches
Page 4 of 9
UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
B
Answer
John bought a shirt on sale for
20% off the original price and
25
$25
another 20% off the discounted
price. If the final price was $16,
what was the price before the
first discount?
What is the sum of the number of
26
edges of a cube, number of corners
22
of a cube, and faces of a cube?
A veggie patty weighs 80 grams, of
27
which 30 grams are filler. What
65%
percent of the patty is not filler?
Leslie, Ava, Eva and Daisy occupy four
chairs in a square dining table. Leslie
and Ava want to sit directly facing
28
each other. There are two seats in
either side of the table facing each
4
other. How many possible ways can
they be seated in the dining table
chairs?
© www.prepository.com
Page 5 of 9
UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
B
Answer
The mean of 5 positive numbers is 55.
29
If a sixth positive number is added to
70
the set, the mean increases to 60.
What is the sixth number?
30
31
32
How many integers between 100 and
If 20% of a number is 12, what is
34
35
© www.prepository.com
5
30% of the same number?
The Product of two prime numbers is
22
85. What is the sum of these two
prime numbers?
33
5
500 have 20, and 25 as factors?
Sum of remainders when divided by 5
12,20,23,25,34
What is 3/4 of 11/8?
Sum of five smallest positive
multiples of 3
Sum of remainders when divided
by 4
12,20,23,25,34
1
55
Page 6 of 9
UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
B
Answer
Selena adds 1/2 cup of blueberries in
a bowl and her son takes 1/4 cup of
36
blueberries. Then Selena adds 2/3
1 cup
cup more of blueberries. How many
cups are in the bowl now?
Diya took 10 days to read a book. She
read an average of 25 pages per day
for the first 3 days, an average of 35
37
pages per day for the next 4 days and
270
an average of 40 pages per day for
the remaining days. How many pages
were in the book?
38
1 half gallon of milk costs $3.49.
What is the cost per ounce of milk.
0.4
Kay needs 80 inches of a yarn to
complete a crochet square. She has
39
six and a half feet of yarn. How many
2
inches of yarn will remain after she
takes the 80 inches.
© www.prepository.com
Page 7 of 9
UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
B
Answer
Ed's new car can go 30 miles on a
gallon of gas, and if he travels to
39
work by his new car everyday, and the
10
distance between his home and office
is 30 miles, how many gallons of gas
will be needed for a 5 day week.
Three rectangles have a common
width of 2 cms but have as lengths
40
20
the first three prime numbers in cms.
What is the sum of the perimeter of
the three rectangles?
There are four more boys than girls
in Ms. Kelsey's class of 30 students.
41
What is the ratio of number of girls
17/13
to the number of boys in her class in
the form of a fraction?
42
43
44
© www.prepository.com
Solve the proportion.
5
(x−1) / 3 = (x+1) / 5
The least value of x that satisfies the
35
inequality 5x - 60 > 100
2
3 n - 18 for n = 6
2
3 n + 18 for n = 5
Page 8 of 9
UMTYMP Mock Test 2
S.No
Common Information for both A
A
& B, if needed
B
Answer
A car travels 0.8 miles in 1 minute.
45
The speed of the car in miles per
46
hour
What percent of 1000 is 2.47?
40 miles/hr
0.50%
Andy's teacher gave him a test with
47
40 questions on it. His score on the
10
test was 80%. How many questions did
he answer incorrectly?
48
49
50
© www.prepository.com
Reciprocal of 2.5 as a fraction
If a triangle has an area of 6 feet
2/5
square and the base of the triangle is
1
6 feet, what is the height of the
triangle?
The range of the list
The range of the list
11, 14, 15,15,17
10,13,13,13,19
Page 9 of 9
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