Mr B ACT Question Bank 5-8 pages

The number 1,001 is the product of the prime numbers 7, 11, and 13. Knowing this, what is the prime factorization of 30,030?

• 3 • 7 • 10 • 13

• 30 • 7 • 11 • 13

• 3 • 7 • 10 • 11 • 13

• 2 • 3 • 5 • 7 • 11 • 13

The greatest common factor of 2 whole numbers is 10. The least common multiple of these same 2 numbers is 120. What are the 2 numbers?

• 6 and 20

• 10 and 12

• 10 and 20

• 20 and 60

• 30 and 40

For all positive integers a, let E represent the sentence "a is even" and let P represent the sentence "a is prime." When a = 22, which of the following statements is true?

• Both E and P are true.

• If E is true, then P is true.

• E is true and P is false.

• P is true and E is false.

• Both E and P are false.

What is the least common denominator of the fractions 4/35, 1/28, and 3/8?

• 40

• 280

• 980

• 1,120

• 7,840

Consider the fractions 1/a, 1/b, and 1/c, where a and b are distinct prime numbers greater than 3 and c = 3a. Suppose that a • b • c is used as the common denominator when finding the sum of these fractions. In order for the sum to be in lowest terms, its numerator and denominator must be reduced by a factor of which of the following?

• 3

• a

• b

• c

• ab

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Given that n is a positive integer and b is 3 times n, what is the least common denominator, in terms of n, for the addition of 1/b and 1/n^2?

• (n + 3)n

• (n + 3)

• 1/3n

• 3n

• 3n^2

Tags

CCSS.HSA.APR.D.7

Which of the following is equivalent to the sum of any 3 consecutive odd integers, x, y, and z, such that x < y < z?

• 3x

• 3y

• 3x

• 3x + 2

• (x+y+z)/3

Tags

CCSS.6.EE.B.6

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

• m is an odd integer.

• m and n are both odd integers.

• m and n are both even integers.

• m is an odd integer and n is an even integer.

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

If a is a positive even integer and b is a positive odd integer, then [(–3) + (3^3)]^b is:

• positive and even.

• positive and odd.

• zero.

• negative and even.

• negative and odd.

Tags

CCSS.7.NS.A.2A

Which of the following number properties is illustrated in the statement below? 3 + (5 + 4) = (5 + 4) + 3

• Associative: a + (b + c) = (a + b) + c

• Commutative: a + b = b + a

• Distributive: a(b + c) = ab + ac

• Identity: a + 0 = a

• Inverse: a + (–a) = 0

Tags

CCSS.1.OA.B.3