Worksheetsge 3 midterm exam
Total questions: 50
Worksheet time: 28mins
A binary operation is an operation that combines _______.
one element
two elements
three elements
four elements
Which of the following is a binary operation on the set of integers?
Division
Subtraction
Square root
Factorial
The symbol “*” is defined on integers by a*b=a+b–1. What is 3*5?
7
8
9
10
The operation of addition on integers is _______.
Commutative
Non-commutative
Non-associative
Undefined
A binary operation must be _______ on a set.
Open
Closed
Finite
None of the above
If a*b=a²+b², find 2*3.
11
12
13
14
The associative property means that _______.
Changing order changes result
Grouping does not affect result
Grouping affects result
Order of operation must change
Polya’s first step in problem solving is _______.
Devise a plan
Understand the problem
Carry out the plan
Look back
Which of the following is NOT part of Polya’s four steps?
A. Guessing
B. Understanding
C. Planning
D. Reviewing
Drawing a diagram is useful in _______ problems.
Verbal
Abstract
Visual
Logical
A student solving a word problem by trial and error uses _______.
Deductive reasoning
Intuition
Guess and check
Formal proof
The final step “Look back” in Polya’s method means _______.
Checking if the answer makes sense
Guessing again
Copying
Ignoring the result
When a solution does not work, the best strategy is to _______.
Give up
Try another approach
Skip
Change topic
Inductive reasoning is based on _______.
Patterns and examples
Facts and logic
Laws
Definitions
Deductive reasoning starts from _______.
Observation
General statement
Specific cases
Intuition
The statement “All men are mortal, Socrates is a man, therefore Socrates is mortal” is an example of _______.
Inductive
Deductive
Intuitive
Experimental reasoning
Finding the next number in the pattern 2, 4, 6, 8, ___ uses _______.
Inductive reasoning
Deductive reasoning
Intuition
Proof
A conclusion derived from premises is called a _______.
Hypothesis
Deduction
Theory
Rule
When reasoning is supported by facts and definitions, it is _______.
Inductive
Deductive
Guesswork
Empirical
Which reasoning type is often used in forming conjectures?
Deductive
Inductive
Intuitive
Proof-based
A counterexample is used to _______.
Prove
Disprove
Support
Repeat a theorem
Intuition is based on _______.
Feeling and experience
Computation
Deduction
Theorems
A mathematical proof must be _______.
Informal
Logical and valid
Opinion-based
Experimental
Certainty in mathematics is achieved through _______.
Experiments
Observation
Logical proof
Guessing
When a statement is supported by no counterexample, it is said to be _______.
True
False
Conditional
Undefined
A proof by example is _______.
Always valid
Not sufficient
Strong
Deductive
When a person answers a problem using “gut feeling,” it shows _______.
Intuition
Induction
Deduction
Logic
Frequency distribution shows _______.
A. Data arrangement
B. Total frequency only
C. Random values
D. None
The class interval 10–19 has frequency 8. Its midpoint is _______.
10
14.5
15
9.5
The sum of frequencies in a table represents _______.
Median
Total number of observations
Range
Mode
A histogram is a graphical representation of _______.
Categorical data
Bar graph data
Discrete data
Symbols
The polygon formed by joining midpoints of histogram bars is called _______.
Ogive
Frequency polygon
Pie chart
Line graph
The upper ogive represents _______.
Cumulative frequency less than
Cumulative frequency greater than
Average
Range
The frequency table column showing total up to each class is _______.
Cumulative frequency
Relative frequency
Class interval
Midpoint
When data is organized from lowest to highest, it is called _______.
Ungrouped data
Grouped data
Raw data
Ordered array
The area of a histogram bar is proportional to _______.
Mean
Frequency
Class size
Range
The x-axis of a histogram represents _______.
Frequency
Class boundaries interval
Total
Percentage
A cumulative frequency graph is known as _______.
Histogram
Polygon
Ogive
Bar graph
The point where less-than and greater-than ogives meet represents the _______.
Mode
Mean
Median
Frequency
Frequency polygon is often drawn on top of _______.
Bar graph
line graph histogram
Pie chart
Ogive
An ogive always has a _______ trend.
Increasing
Decreasing
Constant
Random
The frequency polygon ends on the _______.
First and last midpoints
Mean
Median
Mode
The binary system uses only digits _______.
0 and 1
1 and 2
0–9
2 and 3
Decimal number 5 in binary is _______.
110
111
101
100
Binary number 1010 is equal to decimal _______.
8
9
10
11
The place value in binary increases by powers of _______.
10
2
8
4
Converting 1111 from binary gives decimal ________.
A. 14
B. 15
C. 16
D. 17
Decimal 12 is written in binary as ________.
1010
1100
1110
1001
The smallest binary digit is called a ________.
Bit
Byte
Nibble
Pixel
One byte consists of ________ bits.
4
6
8
10
