# Admission Exam Math Practice Questions

```Admission Exam
Math Practice Questions
 Questions in this document represent a sample of
 Some Questions are written in both languages:
Arabic and English.
 All questions are designed such that calculators are
not needed.
 Answers to the sample questions are provided on
the last page of this document.
© Institute of Applied Technology, 2011
Page 1 of 10
01.
04.
1.79 + 8.36 =
y3 (y2)3 =
[A]
3.13
[A]
y9
[B]
9.95
[B]
y10
[C]
10.15
[C]
y11
[D]
9.115
[D]
y20
[E]
10.05
[E]
y24
02.
2
1
5 +3 =
5
5
[A]
1
2
5
[B]
8
3
5
[C]
2
1
10
[D]
2
[E]
1
05.
x2 − 5x − 6
[A]
(x − 2) (x − 3)
[B]
(x + 2) (x − 3)
[C]
(x − 6) (x − 1)
[D]
(x − 6) (x + 1)
[E]
(x − 5) (x − 6)
‫ﺣﻠﻞ‬
4
5
06.
03.
Factorize
−7 − 5 =
[A]
−12
[B]
−2
[C]
2
[D]
−35
[E]
12
Page 2 of 10
0.53 km =
[A]
530 mm
[B]
5,300 m
[C]
53,000 cm
[D]
5,300 in
[E]
5,300 ft
07.
The simplest form of
[A]
7
7
[B]
7
14
4 3
+ =
14 14
4 3
+ =
14 14
.07
‫أﺑﺴﻂ ﺻﻮرة ﻟﻠﻤﻘﺪار‬
7
7
[A]
7
14
[B]
[C] 1
1 [C]
[D]
1
2
1
2
[D]
[E]
12
49
12
49
[E]
08.
Which of the following is NOT a multiple
‫أي ﻣﻦ اﻷﻋﺪاد اﻟﺘﺎﻟﻴﺔ ﻟﻴﺲ ﻣﻦ ﻣﻀﺎﻋﻔﺎت اﻟﻌﺪد‬
of 10?
.08
‫؟‬10
[A] 500
500 [A]
[B] 235
235 [B]
1050 [C]
[C] 1050
5000 [D]
[D] 5000
20 [E]
[E] 20
09.
The value of
8 lies between:
:‫ﺗﻘﻊ ﺑﻴﻦ‬
8 ‫إن ﻗﻴﻤﺔ اﻟﻤﻘﺪار‬
.09
[A] 1 and 2
2 ‫ و‬1 [A]
[B] 2 and 3
3 ‫ و‬2 [B]
[C] 3 and 4
4 ‫ و‬3 [C]
5 ‫ و‬4 [D]
[D] 4 and 5
6 ‫ و‬5 [E]
[E] 5 and 6
Page 3 of 10
10.
Pick the largest number.
4
[A] −4
5
−5
[C]
1
−5
2
[D]
−2
4
5
[E]
−2
1
5
11.
4
5
−4
1
4
[B]
.10
.‫اﺧﺘﺮ اﻟﻌﺪد اﻷآﺒﺮ‬
1
4
−5
1
2
−5
4
5
−2
−2
Given that x = 2 and y = −1,
1
5
y = −1 ‫ و‬x = 2 ‫إذا ﻋﻠﻤﺖ أن‬
find the value of 2x − 3y:
[A]
[B]
[C]
[D]
[E]
.11
2x − 3y ‫ﻓﺄوﺟﺪ ﻗﻴﻤﺔ‬
[A] 6
6 [A]
[B] 21
21 [B]
[C] 1
1 [C]
5 [D]
[D] 5
7 [E]
[E] 7
12.
In quadrilateral KLMN, what type of angle
is ∠KLM ?
.12
KLMN
[A] acute
‫[ ﺣﺎدة‬A]
[B] obtuse
‫[ ﻣﻨﻔﺮﺟﺔ‬B]
[C] right
‫[ ﻗﺎﺋﻤﺔ‬C]
[D] straight
‫[ ﻣﺴﺘﻘﻴﻤﺔ‬D]
[E] reflex
‫∠ ﻓﻲ اﻟﺸﻜﻞ اﻟﺮﺑﺎﻋﻲ‬KLM ‫ﺣﺪد ﻧﻮع اﻟﺰاوﻳﺔ‬
‫[ ﻣﻨﻌﻜﺴﺔ‬E]
Page 4 of 10
13.
x ‫أووﺟﺪ ﻗﻴﻤﺔ‬
Find the value of x.
1
[A] 120°
4x
.13
1200° [A]
60°
[B]
40°
4
400°
[B]
[C]
30°
3
300°
[C]
1800° [D]
1
[D] 180°
[E]
14.
900°
90°
9
T area of trriangle ABC
The
C is:
:‫ هﻲ‬ABC
C ‫ﻣﻣﺴﺎﺣﺔ اﻟﻤﺜﻠﺚ‬
[E]
.14
4 cm2
[A] 48
48 cm
m2 [A]
[B] 24
2 cm2
24 cm
m2 [B]
A
[C] 60
6 cm2
60 cm
m2 [C]
A
[D] 90
9 cm2
90 cm
m2 [D]
30 cm
m2 [E]
[E] 30
3 cm2
10 cm
c
B
15.
8 cm
6 cm
10 cm
6 cm
10 cm
C
B
m
6 cm
10 cm
8 cm
m
6 cm
Find the value of x.
C
x ‫أووﺟﺪ ﻗﻴﻤﺔ‬
.15
1 cm
[A] 10
[A]
10 cm
c
[B] 5 cm
5 cm
c
[B]
[C] 25
2 cm
25 cm
c
[C]
[D] 1 cm
1 cm
c
[D]
[E] 7 cm
7 cm
c
[E]
13cm
13
3cm
x
x
m
12cm
12cm
16.
What is the name of the ordered pair (0, 0)?
y ‫[ ﻣﺤﻮر‬B]
[B] y-axis
‫[ ﻧﻘﻄﺔ اﻷﺻﻞ‬C]
[C] The origin
xy ‫[ اﻟﻤﺴﺘﻮى اﻹﺣﺪاﺛﻲ‬D]
[D] xy-plane
‫[ اﻟﻨﻘﻄﺔ اﻟﺼﻔﺮﻳﺔ‬E]
[E] Zero point
Solve the following system of equations:
⎧x − y = 7
⎨
⎩ x + y = 13
[A] x = 4, y = 3
.17
:‫ﺣﻞ اﻟﻤﻌﺎدﻟﺘﻴﻦ اﻵﻧﻴﺘﻴﻦ ادﻧﺎﻩ‬
⎧x − y = 7
⎨
⎩ x + y = 13
x = 4, y = 3 [A]
[B] x = 5, y = 2
x = 5, y = 2 [B]
[C] x = 10, y = 3
x = 10, y = 3 [C]
[D] x = 8, y = 9
x = 8, y = 9 [D]
[E] x = −2, y = −1
18.
.16
x ‫[ ﻣﺤﻮر‬A]
[A] x-axis
17.
‫( ؟‬0,0) ‫ﻣﺎذا ﻳﺴﻤﻰ اﻟﺰوج اﻟﻤﺮﺗﺐ‬
x = −2, y = −1 [E]
The solution of the equation 3x − 7 = 8 is:
3x − 7 = 8 ‫ ﺣﻞ اﻟﻤﻌﺎدﻟﺔ‬.18
x = 15 [A]
[A] x = 15
x = 3 [B]
[B] x = 3
x = 5 [C]
[C] x = 5
x = 1 [D]
[D] x = 1
1
[E] x =
3
x=
Page 6 of 10
1
3
[E]
19.
It takes Hamad 4 hours to paint his room.
Ali can paint the same room in 6 hours. If
they work together, how long will it take
them to paint that room?
‫ ﺳﺎﻋﺎت ﻣﻦ‬4 ‫ﻳﺴﺘﻄﻴﻊ ﺣﻤﺪ ﻃﻼء ﺣﺠﺮﺗﻪ ﻓﻲ‬
.19
6 ‫ وﻳﺴﺘﻄﻴﻊ ﻋﻠﻲ ﻃﻼء ﻧﻔﺲ اﻟﻐﺮﻓﺔ ﻓﻲ‬.‫اﻟﻌﻤﻞ‬
‫ آﻢ ﺳﺎﻋﺔ ﻳﺤﺘﺎج اﻻﺛﻨﺎن ﻣﻌًﺎ ﻟﻄﻼء هﺬﻩ‬.‫ﺳﺎﻋﺎت‬
‫اﻟﻐﺮﻓﺔ؟‬
[A] 5 hours
‫ ﺳﺎﻋﺎت‬5 [A]
[B] 10 hours
‫ ﺳﺎﻋﺎت‬10 [B]
[C] 2.4 hours
‫ ﺳﺎﻋﺎت‬2.4 [C]
[D] 12 hours
‫ ﺳﺎﻋﺔ‬12 [D]
[E] 24 hours
‫ ﺳﺎﻋﺔ‬24 [E]
20.
What is 10% of 6,500 AED?
‫ درهﻢ ﻳﺴﺎوي‬6,500 ‫ ﻣﻦ‬%10
.20
[A] 65,000 AED
‫ درهﻢ‬65,000
[A]
[B] 6,400 AED
‫ درهﻢ‬6,400
[B]
[C] 6,600 AED
‫ درهﻢ‬6,600
[C]
[D] 65 AED
‫ درهﻢ‬65
[D]
[E] 650 AED
‫ درهﻢ‬650
[E]
21.
An electronic store has five different
mobile phone models and three laptop
types. In how many ways can a student
select a mobile phone and laptop from that
store?
‫ﻳﺤﺘﻮي ﻣﺘﺠﺮ ﻟﺒﻴﻊ اﻷدوات اﻹﻟﻜﺘﺮوﻧﻴﺔ ﻋﻠﻰ ﺧﻤﺲ‬
.21
‫أﻧﻮاع ﻣﺨﺘﻠﻔﺔ ﻣﻦ أﺟﻬﺰة اﻟﻬﺎﺗﻒ اﻟﻤﺤﻤﻮل‬
‫)اﻟﻤﻮﺑﺎﻳﻞ( وﺛﻼﺛﺔ أﻧﻮاع ﻣﺨﺘﻠﻔﺔ ﻣﻦ أﺟﻬﺰة‬
‫ ﺑﻜﻢ ﻃﺮﻳﻘﺔ ﻳﻤﻜﻦ‬.(‫اﻟﻜﻤﺒﻴﻮﺗﺮ اﻟﻤﺤﻤﻮل )اﻟﻼﺑﺘﻮب‬
‫ﻟﻄﺎﻟﺐ أن ﻳﺨﺘﺎر هﺎﺗﻒ وآﻤﺒﻴﻮﺗﺮ ﻣﻦ اﻟﻤﺘﺠﺮ؟‬
[A] 5 ways
‫ ﻃﺮق‬5 [A]
[B] 3 ways
‫ ﻃﺮق‬3 [B]
[C] 2 ways
‫[ ﻃﺮﻳﻘﺘﺎن‬C]
[D] 15 ways
‫ ﻃﺮﻳﻘﺔ‬15 [D]
[E] 20 ways
‫ ﻃﺮﻳﻘﺔ‬20 [E]
Page 7 of 10
22.
The solution of −3x < −6 is:
−3x < −6 :‫ﺣﻞ اﻟﻤﺘﺒﺎﻳﻨﺔ‬
.22
[A] x < 2
x < 2 [A]
[B] x > 2
x > 2 [B]
[C] −2 < x < 2
−2 < x < 2 [C]
[D] x > 2 or x < −2
x < −2 ‫ أو‬x > 2 [D]
[E] x < 3
23.
x < 3 [E]
A bag contains marbles of different colors.
Find the total number of marbles in the
bag:
Color
Tally
Red
IIII III
Blue
IIII II
Green
II
Orange
III
Brown
IIII
Yellow
I
[A] 23
.23
‫اﻟﻜﺮات ﻓﻲ اﻟﻜﻴﺲ ﺑﺎﻻﻋﺘﻤﺎد ﻋﻠﻰ ﺟﺪول اﻟﺘﻜﺮار‬
.‫أدﻧﺎﻩ‬
‫اﻟﻠﻮن‬
‫اﻟﺘﻜﺮار‬
‫أﺣﻤﺮ‬
IIII III
‫أزرق‬
IIII II
‫أﺧﻀﺮ‬
II
‫ﺑﺮﺗﻘﺎﻟﻲ‬
III
‫ﺑﻨﻲ‬
IIII
‫أﺻﻔﺮ‬
I
23 [A]
[B] 20
20 [B]
[C] 25
25 [C]
[D] 35
35 [D]
[E] 16
‫ أوﺟﺪ ﻋﺪد‬.‫ﻳﺤﺘﻮي آﻴﺲ ﻋﻠﻰ آﺮات ﺻﻐﻴﺮة ﻣﻠﻮﻧﺔ‬
16 [E]
Page 8 of 10
24.
The graph below shows the results of a
survey about the animal that people prefer
as a pet.
.‫إﻗﺘﻨﺎء ﺑﻌﺾ اﻟﺤﻴﻮاﻧﺎت اﻷﻟﻴﻔﺔ ﻋﻠﻰ ﻏﻴﺮهﺎ‬
‫ﻧﺘﺎﺋﺞ اﻟﺪراﺳﺔ‬
45
40
35
30
25
20
15
10
5
0
‫ﻋﺪد اﻷﺷﺨﺎص‬
Number of People
Survey Results
Dog
Cat
Fish
.24
‫اﻟﺸﻜﻞ أدﻧﺎﻩ ﻳﺒﻴﻦ دراﺳﺔ إﺣﺼﺎﺋﻴﺔ ﻟﺘﻔﻀﻴﻞ اﻟﻨﺎس‬
Horse
45
40
35
30
25
20
15
10
5
0
‫آﻠﺐ‬
Bird
‫ﻗﻄﺔ‬
‫ﺳﻤﻜﺔ‬
‫ﺧﻴﻞ‬
‫ﻃﻴﻮر‬
‫ﻧﻮع اﻟﺤﻴﻮاﻧﺎت اﻷﻟﻴﻔﺔ‬
According to this graph, which statement is
true?
‫أي ﻋﺒﺎرة ﺗﻌﺘﺒﺮ ﺻﺤﻴﺤﺔ؟‬
[A] Twice as many people prefer dogs to fish.
[B] Most people do not prefer horses as pets
because they are too big to care for.
[C] Many people prefer fish as pets because
they are easy to care for.
‫[ ﻋﺪد ﻣﻦ ﻳﻔﻀﻠﻮن اﻟﻜﻼب هﻮ ﺿﻌﻒ ﻣﻦ ﻳﻔﻀﻠﻮن‬A]
‫اﻟﺴﻤﻚ‬
‫[ آﺜﻴﺮ ﻣﻦ اﻟﻨﺎس ﻻ ﻳﻔﻀﻠﻮن اﻟﺨﻴﻮل ﻷﻧﻬﺎ آﺒﻴﺮة اﻟﺤﺠﻢ‬B]
‫[ آﺜﻴﺮ ﻣﻦ اﻟﻨﺎس ﻳﻔﻀﻠﻮن اﻷﺳﻤﺎك ﻟﺴﻬﻮﻟﺔ اﻹﻋﺘﻨﺎء ﺑﻬﺎ‬C]
[D] Five more people prefer cats to birds.
‫[ ﺧﻤﺴﺔ أﺷﺨﺎص أآﺜﺮ ﻳﻔﻀﻠﻮن اﻟﻘﻄﻂ ﻋﻠﻰ اﻟﻄﻴﻮر‬D]
[E] Ten less people prefer birds to horses.
‫[ ﻋﺸﺮة أﺷﺨﺎص أﻗﻞ ﻳﻔﻀﻠﻮن اﻟﻄﻴﻮر ﻋﻠﻰ اﻟﺨﻴﻮل‬E]
25.
:‫ﺣﺼﻞ ﻃﺎﻟﺐ ﻋﻠﻰ اﻟﺪرﺟﺎت اﻟﺘﺎﻟﻴﺔ‬
A student scored the following marks:
Subjec
t
Score
Islami
c
85
Arabi
c
75
Englis
h
78
Mat
h
72
Scien ‫اﻟﻌﻠﻮم‬
e
75
75
.25
‫اﻟﺮﻳﺎ‬
‫ﺿﻴﺎت‬
‫اﻟﻠﻐﺔ‬
‫اﻹﻧﺠﻠﻴﺰ‬
‫ﻳﺔ‬
‫اﻟﻠﻐﺔ‬
‫اﻟﻌﺮﺑ‬
‫ﻳﺔ‬
‫اﻟﺘﺮﺑﻴﺔ‬
‫اﻹﺳﻼﻣ‬
‫ﻳﺔ‬
‫اﻟﻤﺎدة‬
72
78
75
85
‫اﻟﺪرﺟ‬
‫ة‬
Find the arithmetic mean (average).
.‫أوﺟﺪ اﻟﻤﺘﻮﺳﻂ اﻟﺤﺴﺎﺑﻲ ﻟﻠﺪرﺟﺎت‬
[A] 90
90 [A]
[B] 72
72 [B]
[C] 75
75 [C]
[D] 80
80 [D]
[E] 77
77 [E]
Page 9 of 10
Question
1
C
2
B
3
A
4
A
5
D
Question
6
C
7
D
8
B
9
B
10
E
Question
11
E
12
A
13
C
14
A
15
B
Question
16
C
17
C
18
C
19
C
20
E
Question
21
D
22
B
23
C
24
D
25
E
Page 10 of 10
```