Number Types & Properties

Rational & Irrational Numbers and Integers

3. Which of the following integers is NOT a factor of 132?

2013 June(71C) Math Question 3

6. The square root of a certain number is approximately 9.2371. The certain number is between what 2 integers?

2015 June(73C) Math Question 6

14. Which of the following integers is closest to

2017 June(74C) Math Question 14

15. What is the smallest integer greater than V85 ?

2018 June(A11) Math Question 15

18. For which of the following conditions will the sum of integers in and n always be an odd integer?

2017 April(74F) Math Question 18

21. What is the least positive number that has a remainder of 3 when divided by 5 and a remainder of 7 when divided by 9 ?

Remainders

2021 April(D05) Math Question 21

2012 December(71A) Math Question 30

31. What is the 322nd digit after the decimal point in the repeating decimal 0.1357 ?

Repeating decimal

2021 June(D06) Math Question 31

35. For which of the equations below is its solution an integer?

2015 April(73G) Math Question 35

38. Which of the following expressions, when evaluated, equals an irrational number?

2017 April(74F) Math Question 38

2009 April(66F) Math Question 40

43. What is the smallest positive integer having exactly
5 different positive integer divisors?

2019 June(B02) Math Question 43

2012 December(71A) Math Question 43

2021 June(D06) Math Question 46

46. Let A, B, and C represent the digits in the hundreds, tens, and ones places, respectively, of a certain 3-digit whole number. Let D, E, and F represent the digits in the hundreds, tens, and ones places, respectively, of a different 3-digit whole number. The positive difference between the 2  numbers is greater than 100. Which of the following inequalities must be true?

Absolute value

Adding, subtracting, multiplying and dividing positive and negative numbers

2021 December(E23) Math Question 46

2009 December(68A) Math Question 47

2013 December(71E) Math Question 48

2009 April(66F) Math Question 48

52. Let x be a negative odd integer. The expression xy3 is a positive even integer whenever y is any member of which of the following sets?

2014 December(72G) Math Question 52

52. What is the 275th digit after the decimal point in the repeating decimal 0.6295 _____ ?

2021 April(Z04) Math Question 52

53. An integer is abundant if its positive integer factors, excluding the integer itself, have a sum that is greater than the integer. How many of the integers 6, 8, 10, and 12 are abundant?

Rational & Irrational Numbers and IntegersNumber Types & PropertiesACT math questions

2013 June(71C) Math Question 3

2015 June(73C) Math Question 6