Practice Before IBA Test

Math Portion  50 Questions  Time (70 Minutes) 

01- To find out how much time Wilson needs to spend on transportation each day to and from school, he notices that it takes 25 to 32 minutes to go to school and 30 to 45 minutes to return home. What is the range of time that Wilson needs to spend for his round trip to and from school?
a) 25 minutes to 45 minutes
b) 30 minutes to 45 minutes
c) 32 minutes to 45 minutes
d) 55 minutes to 1 hour and 17 minutes

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02- The scores of a math class midterm are between 75 and 93. Which of the following inequalities can be used to determine the range of a student's midterm score,  represented by h in this class? ®

a) | h – 75 | < 18

b) | h – 93 | < 18

c) | h – 84 | < 18

d) | h – 84 | < 9

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03- What is the greatest three-digit integer that has the factors 10 and 9?    

a) 100

b) 900

c) 955

d) 990

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04- Rubina is 12 years younger than Shaista. Five years ago, Rubina was half Shaista’s age. How old will Rubina be next year?          AGE PROBLEM

A) 16

B) 18

C) 20

D) None of these

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05- Which of the following equations represents a line that passes through the point (0, −5) and is parallel to the line with equation 𝑦 = −4𝑥 + 7?

(A) 4𝑥 + 𝑦 = −7

(B) 4𝑥 + 𝑦 = −5

(C) 𝑥 + 4𝑦 = 20

(D) 𝑥 + 4𝑦 = 28

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06- If j is the number of integers between 1 and 500 that are divisible by 9 and k is the number

of integers between 1 and 500 that are divisible by 7, what is j + k?

(A) 126

(B) 127

(C) 128

(D) 129

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07- A parking lot charges $5.00 maintenance fee per day to use its parking space. In addition, there is a charge of $3.25 per hour. Which of the following represents the total charge, in dollars, to park a car in the parking lot for m hours in one day?

a) 5m + 3.25

b) (5 + 3.25)m

c) 5 + 3.25 + m

d) 5 + 3.25m

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08- If A is the set of positive integers, B is the set of odd integers, and C is the set of integers mul~le of 3, which of the following will be in all three sets? @

a) 24

b) 18

c) 15

d) -21

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09- If g(x) = 5x - 10, then at what value of x does the graph of g(x) cross the x-axis?

a) - 6

b) -3

c) 0

d) 2

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10- The area of circle A is 4 times the area of circle B. What is the ratio of the diameter of circle A 

to the diameter of circle B?

a) 2: 1

b) 3: 1

c) 4: 1

d) 1: 2

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11- If 0 < xy and y > 0, which of the following statements must be true?

I. x<O           II. x<y       III. x>O

a) I only

b) III only

c) I and II

d) II and III

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12- If w, x and y are positive integers such that the value of x +y is even and the value of 

(x +y)2 + 4x + w is odd, which of the following must be true? ODD-EVEN

a) y is even.

b) w is odd.

c) If w is even, then x is even.

d) If w is even, then x is odd

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13- scientist found that the number of bacteria in a sample doubles every 3 hours. If there were 48 bacteria in the sample at the start of the experiment, how many bacteria were there after 15 hours?

A) 384

B) 768

C) 1536

D) 3072

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14-If x and y are positive integers with x /y = 144, then 𝑥𝑦 cannot be

A) 1/36

B) 9/16

C) 1/2

D) 16/9

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15. If the domain of the function y = f(x) = 10 – 2|3 – x| consists of all those real numbers which are greater than or equal to 10, then the range of the function f(x) will be    RANGE

A) { y : y ≤ 10}

B) { y : y ≤ – 4}

C) { y : y ≤ – 6}

D) { y : y ≤ – 8}

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16. In the xy-coordinate plane, line m is the reflection of line I about the y-axis. Which

of the following could be the sum of the slopes of lines m and I?  Reflection

a) 1

b) -1

c) 0

d) 1/2

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17- If i =  √-1 and n is a positive integer, which of the following statements is FALSE? ®

a) i⁴ⁿ = 1

b) i ⁴ⁿ⁺¹ = -i

c) i⁴ⁿ⁺² = -1

d) iⁿ⁺⁴ = i

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18- If x² - y² = 24, and x - y = 4, what is the value of x + 2y?     ALGEBRA

a) 1

b) 3

c) 5

d) 7

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19- Worker A can install a toy in 12 minutes. Worker B takes 10 minutes to install the same toy. In 6 hours, how many more toys can be installed by worker B than by worker A?

a) 4

b) 5

c) 6

d) 8

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20- Which of the following is an equation of a circle in the xy-plane with center (1, 2) and passing through the point (2, 3).

A) (x – 1)² + (y + 2) ² = 2

B) (x – 1) ² + (y – 2) ² = √2

C) (x – 1) ² + (y – 2) ² = 2

D) (x – 1) ² + (y + 2) ² =√2

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