25 math problems
1) The sum of nine consecutive integers is 180. What is the biggest number among the nine integers?
(A) 16
(B) 18
(C) 20
(D) 22
(E) 24

2) The sum of seven consecutive odd integers is 147. What is the smallest number among the seven integers?
(A) 15
(B) 17
(C) 19
(D) 21
(E) 23

3) Which of the following numbers is the largest?
(A) ⅓
(B) 45/99
(C) 0.15151515…
(D) 4/9
(E) 0.456456456…

4) What number when increased by 80% of itself equals 999?
(A) 400
(B) 555
(C) 800
(D) 1,249
(E) 1,798

5) Juan wants to make a 100 mL of 7% alcohol solution by mixing a quantity of a 2% alcohol solution with a 10% alcohol solution. How much % alcohol solution does he have to use?
(A) 37.5 mL
(B) 50 mL
(C) 62.5 mL
(D) 75 mL
(E) 87.5 mL

6) 80% is to 8/5 as 15% is to ___.
(A) 3%
(B) 3/10
(C) 0.3/100
(D) 8.533
(E) 750

7) In a room with 13 people, every person shakes hands with everyone else in the room exactly once. How many handshakes are made?
(A) 39
(B) 78
(C) 117
(D) 156
(E) 169

8) Maria can clean the garden in two hours and Juan can do the same job in three hours. How many hours will it take them to clean the garden together?
(A) 1
(B) 1.2
(C) 1.4
(D) 1.6
(E) 1.8

9) Jaime can paint a house in five hours. If Jaime and Angela paint a house together, with each one having a paintbrush, they can finish the task in three hours. How many hours will it take Angela to paint a house alone?
(A) 3
(B) 4.5
(C) 6
(D) 7.5
(E) 8

10) Find the sum of all the integers from 60 to 90.
(A) 150
(B) 875
(C) 1600
(D) 2,325
(E) 4,650

11) Find the sum of all odd integers between 70 and 120.
(A)190
(B)2,000
(C)2,375
(D)4,750
(E)8,400

12) Find the sum of all even integers between 19 and 51.
(A) 525
(B) 560
(C) 595
(D) 597
(E) 599

13) √0.0361 = ?
(A)0.6
(B)0.06
(C)0.17
(D)0.19
(E)0.019

14) Onefifth percent of a number is 80. What is the number?
(A)0.16
(B)16
(C)400
(D)4,000
(E)40,000

15) The mean, median, and mode of 8 numbers are equal. The numbers are 12, 18, 22, 28, 26, 14, 20, and x. What is x?
(A) 12
(B) 18
(C) 20
(D) 22
(E) 24

16) 19 is what % of 95?
(A) 5
(B) 12.5
(C) 20
(D) 48
(E) 76

17) 40% of 20,000 = ?
(A) 800
(B) 5,000
(C) 7,000
(D) 8,000
(E) 50,000

18) 77.77% of what number is 490?
(A)381.11
(B) 630
(C) 700
(D) 735
(E) 770

19) 61, 67, 71, 73, ?, 83, 89, 97
(A) 78
(B) 79
(C) 80
(D) 81
(E) 82

20) 2, 9, 28, 65, ?
(A) 72
(B) 84
(C) 102
(D) 113
(E) 126

21) What is the average of all integers from 100 to 500?
(A) 300
(B) 301
(C) 400
(D) 401
(E) 600

22) Which of the following has the smallest value?
(A)1/10
(B)1/11
(C)1/12
(D)1/13
(E)1/14

23) Which of the following has the largest value?
(A) 1/2
(B) 1/6
(C) 3/8
(D) 9/16
(E) 23/48

24) At what time is the angle between the hands of a clock an obtuse angle?
(A) 1:00
(B) 3:00
(C) 5:05
(D) 6:00
(E) 6:45

25) What is the remainder when 11,988 is divided by 12?
(A) 0
(B) 2
(C) 4
( D) 6
(E) 11