Core Mathematics

Question 1

1Which set contains the whole numbers but not the negative integers?

Easy

A. Q B. Z = {..., −1, 0, 1, ...} C. W = {0, 1, 2, ...} D. the irrational numbers

Question 2

2The recurring decimal 0.333… is best described as

Easy

A. not a real number B. an irrational number C. a natural number D. a rational number

Question 3

3Which of these numbers is irrational?

Easy

A. √16 B. −3/4 C. 0.25 D. √7

Question 4

4Which set is closed under division?

Hard

A. whole numbers B. natural numbers C. non-zero rational numbers D. integers

Question 5

5The additive identity is

Easy

A. 10 B. 1 C. 0 D. −1

Question 6

6If a ∆ b = (a + b)/ab, find 2 ∆ 3.

Hard

A. 5/6 B. 1 C. 6/5 D. 5

Question 7

7If p * q = p² − q, find (2 * 3) * 4.

Hard

A. 1 B. −3 C. −1 D. 5

Question 8

8Which property does the operation a ⊕ b = a + b + 1 satisfy?

Hard

A. identity element 0 B. no property C. distributive over itself D. commutative

Question 9

9Which of these is an irrational number?

Easy

A. 3/4 B. 0.5 C. √2 D. −7

Question 10

10The operation * is defined on real numbers by a * b = a + b − 3ab. Find 2 * (−1).

Hard

A. −5 B. 7 C. 5 D. 1