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WorksheetsCE2505 MIDTERM EXAM MMW
Total questions: 50
Worksheet time: 4hrs 10mins
Who is known as the "Father of Algebra"?
Diophantus
Muhammad ibn Musa al-Khwarizmi
Isaac Newton
Gottfried Wilhelm Leibniz
Which mathematician is considered the "Father of Geometry"?
Hipparchus
Archimedes
Euclid
Pythagoras
The "Father of Trigonometry" is credited with developing trigonometric tables. Who is he?
Euclid
Hipparchus of Nicaea
Diophantus
Al-Khwarizmi
Which pair of mathematicians is credited with the development of calculus?
Diophantus and Euclid
Isaac Newton and Gottfried Wilhelm Leibniz
Hipparchus and Euclid
Al-Khwarizmi and Pythagoras
What is mathematics primarily the study of?
Numbers and operations
Measurements and figures
Pattern and structure
Experiments and observations
Which type of symmetry refers to an object that can be divided into two mirror-image halves along a midline?
Radial symmetry
Bilateral symmetry
Rotational symmetry
Fractal symmetry
What do we call a repeating pattern of polygons that covers a flat surface with no gaps or overlaps?
Spiral
Fractal
Symmetry
Tessellation
What is Fib(5)?
8
2
5
3
Which of the following is Fib(15)?
377
233
610
987
What is Fib(10) × Fib(3)?
55
34
110
144
If Fib(7) = 13 and Fib(8) = 21, what is Fib(8) - Fib(7)?
5
8
8
13
The sum of Fib(1) to Fib(7) is:
28
30
33
35
Five more than twice a number
5x + 2
x + 2 + 5
2x + 5
5 + x²
The product of three and a number decreased by two
3x - 2
3x + 2
(x - 2) × 3
3 - (x + 2)
The square of a number increased by eight
(x + 8)²
2x + 8
x² + 8
x² - 8
Triple the sum of two numbers
(3x) + y
x + 3y
3(x + y)
(x + y) ÷ 3
Seven less than the cube of a number
7 - x³
x³ - 7
(x - 7)³
x - 7³
The reciprocal of the sum of two numbers
1 ÷ (x - y)
1 ÷ (x + y)
(x + y) ÷ 1
x ÷ y
Four times a number squared
(4x)²
(x + 4)²
4x²
x² + 4
The perimeter of a square with side length s
s²
4s
s + 4
s × s
The quotient of a number and the sum of two numbers
x ÷ y + z
(x + y) ÷ z
x ÷ (y + z)
(x ÷ y) + z
The square of the difference of two numbers
x² - y²
(x - y)²
(x + y)²
x - y²
Which of the following best describes a set?
A random collection of objects
A well-defined collection of distinct objects
A group of repeated objects
Any collection regardless of clarity
Which of these is the correct roster notation for the set of first three prime numbers?
{2, 3, 4}
{1, 2, 3}
{2, 3, 5}
{3, 5, 7}
If B = {apple, mango, banana}, the cardinality of B is:
4
3
2
5
Which of the following is NOT a standard method to describe a set?
Roster form
Graph notation
Set-builder notation
Verbal description
If U = {1,2,3,4,5,6,7,8}, A = {2,4,6,8}, and B = {1,2,3}, what is A′ (the complement of A)?
{1,3,5,7,8}
{2,4,6,8}
{1,3,5,7}
{1,2,3}
In a class of 30 students, 18 like Math, 15 like Science, and 10 like both. How many students like only Math?
18
9
8
10
Which of the following correctly represents an empty set?
{0}
( )
∅ or {}
0
Which of the following is an infinite set?
{even numbers less than 50}
{letters in the word "SET"}
{natural numbers}
{days of the week}
Which of these represents the universal set for "all positive integers less than 8"?
{1, 3, 5, 7}
{1, 2, 3, 4, 5, 6, 7}
{0, 1, 2, 3, 4, 5, 6, 7}
{1, 2, 3, 4}
If P = {x | x is a vowel in the English alphabet}, what is P?
{b, c, d, f}
{A, E, I, O, U, Y}
{a, e, i, o, u}
{e, i, o}
If A = {2, 4, 6} and B = {4, 6, 8}, the union A ∪ B is:
{4, 6}
{2, 4, 6, 8}
{2, 8}
{ }
Using the same sets above, the intersection A ∩ B is:
If A = {2, 4, 6} and B = {4, 6, 8}
{2, 8}
{2, 4, 6, 8}
{4, 6}
∅
Which of the following is a subset of {red, blue, green}?
{yellow}
{blue, green}
{blue, black}
{red, blue, green, yellow}
If P = {x | x is an even number ≤ 12}, and Q = {x | x is a multiple of 3 ≤ 12}, what is P ∩ Q?
{2, 4, 6, 8, 10, 12}
{3, 6, 9, 12}
{6, 12}
{2, 3, 6, 12}
Which of the following is a proposition?
Close the book now.
What a fantastic movie!
The Pacific Ocean is larger than the Atlantic Ocean.
Please, pass the salt.
Which of these is NOT a proposition?
7 × 8 = 56
The moon orbits the Earth.
Are you ready for the test?
Gold is a metal.
Which statement is a declarative sentence that can be true or false?
Turn off the fan.
How hot is the weather?
25 is a perfect square.
Ouch! That hurts.
Which of the following represents: "If Mark finishes his homework, then he will play games."
Games → Homework
Homework → Games
Homework ∧ Games
¬Games → Homework
If P = "The light is on" and Q = "The fan is running," which of the following represents "The light is on OR the fan is running"?
P ∧ Q
P ∨ Q
¬P ∧ Q
¬P ∨ ¬Q
If P = True and Q = False, what is the truth value of the compound statement P → Q?
True
False
Cannot be determined
True and False
Which of the following is a valid proposition?
Amazing!
Go to the park now.
16 is a power of 2.
Could you help me?
Which symbolic form represents: "Paul studies AND he plays guitar."
P ∨ G
¬P ∧ G
P ∧ G
P → G
Which of the following is the correct symbolic form for: "Ella sings OR she dances."
E ∧ D
E ∨ D
¬E ∨ D
E → D
What is the negation of the statement: "Henry drives to work."
Henry drives and walks.
Henry drives or runs.
Henry does NOT drive to work.
Henry drives only on Mondays.
Which of the following represents: "If the computer is on, then the screen is bright."
Bright → Computer
Computer ∨ Bright
Computer → Bright
¬Bright → Computer
Which statement is biconditional?
If it's sunny, then I will swim.
If I exercise, then I feel healthy.
I will pass the test if and only if I study.
If it's raining, then I bring an umbrella.
Which of these is another way to write “If you train, then you will succeed” (T → S)?
You train and you succeed.
You will succeed even if you do not train.
You will succeed only if you train.
You will succeed or train.
If P = “It is cold” (True) and Q = “It is raining” (False), which is TRUE?
It is cold AND raining.
It is cold OR raining.
It is not cold.
It is cold IF AND ONLY IF it is raining.
