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SECTION 1: NUMBER PROPERTIES AND OPERATIONS (Questions 1-30)
1. Which property states that adding zero to any number does not change the
original number?
A) Commutative Property
B) Associative Property
C) Identity Property
D) Distributive Property
Answer: C) Identity Property
Rationale: The identity property of addition states that adding 0 to any number
yields the same number. For example, 5 + 0 = 5.
2. Which type of data has values within a range, is measured rather than
counted, and does not have gaps between data points?
A) Discrete data
B) Continuous data
C) Categorical data
D) Ordinal data
Answer: B) Continuous data
Rationale: Continuous data can take any value within a range (e.g., height, weight,
temperature). It is measured, not counted, and can be represented by connected
lines or curves on a graph.
,3. Which of the following represents discrete data?
A) Temperature in degrees Celsius
B) Height in inches
C) Days of the week
D) Weight in kilograms
Answer: C) Days of the week
Rationale: Days of the week are discrete data because they are countable and have
distinct, separate values (Monday, Tuesday, etc.).
4. What is a group of symbols such as numbers and operators that has
mathematical validity called?
A) Equation
B) Expression
C) Variable
D) Coefficient
Answer: B) Expression
Rationale: An expression is a mathematical phrase that combines numbers,
variables, and operators without an equals sign. Examples include 3x + 2 or 5² - 4.
5. Which property allows the order of numbers in a sum to be reversed
without changing the result?
A) Identity Property
B) Commutative Property
C) Associative Property
D) Distributive Property
Answer: B) Commutative Property
Rationale: The commutative property states that a + b = b + a and a × b = b × a.
The order of operations does not affect the result.
,6. Values that are equally far from zero on the number line are called:
A) Reciprocals
B) Additive inverses
C) Multiplicative inverses
D) Conjugates
Answer: B) Additive inverses
Rationale: Additive inverses are numbers that sum to zero. For example, 5 and -5
are additive inverses because 5 + (-5) = 0.
7. When multiplying a positive number by a negative number, the result is
always:
A) Positive
B) Negative
C) Zero
D) Undefined
Answer: B) Negative
Rationale: The product of a positive and a negative number is always negative.
For example, 3 × (-4) = -12.
8. The product of a negative number multiplied by another negative number
results in a:
A) Positive number
B) Negative number
C) Zero
D) Non-real number
Answer: A) Positive number
Rationale: When multiplying two negative numbers, the result is positive. For
example, (-3) × (-4) = 12.
9. What are integers that evenly divide the initial integer called?
A) Multiples
, B) Factors
C) Ratios
D) Proportions
Answer: B) Factors
Rationale: Factors are numbers that divide another number evenly without leaving
a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
10. A positive integer with exactly two positive factors (1 and itself) is called a:
A) Composite number
B) Prime number
C) Perfect square
D) Rational number
Answer: B) Prime number
Rationale: Prime numbers have exactly two positive factors: 1 and the number
itself. Examples include 2, 3, 5, 7, 11, and 13.
11. A number that has at least one positive factor other than one and itself is
called a:
A) Prime number
B) Composite number
C) Whole number
D) Integer
Answer: B) Composite number
Rationale: Composite numbers have more than two factors. Examples include 4
(factors: 1, 2, 4), 6 (factors: 1, 2, 3, 6), and 9 (factors: 1, 3, 9).
12. The process of breaking up a composite number into its prime factors is
called:
A) Factorization
B) Multiplication