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Worksheets100 level first semester CCMAS TEST 1.0
Total questions: 40
Worksheet time: 20mins
If log₃(x+1) + log₃(x-7) = 2, which of the following is the valid solution for x?
x=10
x=8
x=-2
x=4
Find dy/dx for the implicit function x²y³ - 4x = 5.
(4 - 2xy³)/(3x²y²)
(2xy³ + 4)/(3x²y²)
4/(3y²)
(2xy³ - 4)/(3x²y²)
Calculate the simplified value of (√3 + i)⁶.
64i
-64
64
-64i
Evaluate the definite integral ∫ from 1 to 2 of (3x² - 2x + 1) dx.
5
4
2
8
The locus of a point P(x,y) such that its distance from the point (3,0) is equal to its distance from the line x=-3 is a:
Circle
Ellipse
Hyperbola
Parabola
How many distinct arrangements (permutations) can be made from the letters of the word 'UNIVERSITY'?
10!
10!/2!
10! - 2!
10!/(2!2!)
If the 5th term of an Arithmetic Progression is 12 and the 10th term is 22, what is the common difference (d)?
1
2
3
4
Evaluate lim(x→3) (x² - 9)/(x - 3).
0
3
6
Undefined
A solid cylinder rolling without slipping has translational kinetic energy KE_trans and total kinetic energy KE_total. What is the ratio KE_trans/KE_total?
1:2
2:1
2:3
3:2
Which equation correctly represents the work done (W) by an ideal gas expanding isothermally from volume V₁ to V₂ at temperature T?
W = P(V₂ - V₁)
W = nRT ln(V₁/V₂)
W = n C_v ΔT
W = nRT ln(V₂/V₁)
What are the fundamental dimensions of Power?
[M][L]²[T]⁻²
[M][L][T]⁻²
[M][L]²[T]⁻³
[M][L]³[T]⁻³
The speed (v) of a transverse wave traveling on a stretched string is directly proportional to the square root of:
Amplitude and frequency
Wavelength and period
Tension
Stiffness and density
In an inelastic collision between two objects in an isolated system, which quantity is always conserved?
Kinetic Energy
Total Mechanical Energy
Momentum
Both Kinetic Energy and Momentum
Water flows through a pipe with radius 4 cm at 2 m/s. If the pipe narrows to radius 2 cm, what is the new speed?
4 m/s
8 m/s
1 m/s
0.5 m/s
For a rigid body to be in complete static equilibrium, which two conditions must be satisfied?
Net acceleration zero, net velocity zero
Net linear momentum zero, net angular momentum zero
Net force zero, net torque zero
Net work done zero, net power zero
If a planet's radius is half that of Earth and its mass is 1/4 that of Earth, what is its surface gravity relative to Earth's g?
2g
4g
g
g/2
Which OSI layer handles formatting, encryption, and compression of data?
Application Layer
Transport Layer
Session Layer
Presentation Layer
Which computer memory is generally the fastest and most expensive per bit?
RAM (Main Memory)
Hard Disk Drive
Cache Memory (L1, L2)
Virtual Memory
Which SDLC model emphasizes risk management and iterative cycles?
Waterfall Model
V-Model
Spiral Model
Incremental Model
A program that hides other malware by modifying OS processes and APIs is called a:
Logic Bomb
Ransomware
Trojan Horse
Rootkit
Which paradigm uses encapsulation, inheritance, and polymorphism?
Procedural Programming
Functional Programming
Logical Programming
Object-Oriented Programming
A set of attributes that could uniquely identify a record, from which the Primary Key is chosen, is a:
Foreign Key
Primary Key
Candidate Key
Super Key
Which is NOT one of the four necessary conditions for deadlock?
Mutual Exclusion
Hold and Wait
No Preemption
Resource Starvation
To divide 192.168.1.0/24 into subnets each supporting at least 30 hosts, what is the smallest CIDR mask?
/25
/26
/27
/28
Which technology handles multimedia display, scripting, and visual styling (not structure)?
HTML
XML
CSS
HTTP
The sounds /tʃ/ (church) and /dʒ/ (judge) are classified as:
Fricatives
Plosives
Approximants
Affricates
The rise and fall of pitch to signal grammatical meaning is called:
Stress
Rhythm
Intonation
Articulation
In 'The judge named her successor vice president', 'vice president' is a:
Direct Object
Adverbial
Subject Complement
Object Complement
In 'He must have missed the bus because he is late', 'must' expresses:
Obligation
Possibility
Logical Certainty
Permission
The primary function of a semicolon (;) is to:
Indicate abrupt change of thought
Separate items in a complex list with internal commas
Introduce a long quotation
Link dependent and independent clauses
A single word with multiple related meanings (e.g., 'crane' = bird/machine) shows:
Homonymy
Homophony
Synonymy
Polysemy
A researcher's original lab notebook with raw data is a:
Secondary Source
Tertiary Source
Primary Source
Reference Source
Claiming a small action will inevitably lead to disaster without evidence is:
Straw Man
Appeal to Emotion
Slippery Slope
Ad Hominem
How to cite (Smith and Jones, 2022) parenthetically in APA 7th edition?
(Smith and Jones, 2022)
(Smith & Jones, 2022)
(Smith; Jones, 2022)
(Smith and Jones, et al., 2022)
Transcription synthesizes which molecule from DNA?
Protein
cDNA
RNA
Polypeptide
Long stasis followed by rapid speciation is called:
Gradualism
Allopatric Speciation
Gene Flow
Punctuated Equilibrium
Strongest evidence for endosymbiotic theory of mitochondria/chloroplasts?
Energy conversion role
Independent division
Circular DNA and 70S ribosomes
Permeability to small molecules
For a female to express X-linked recessive disorder:
Father unaffected, mother carrier
Father affected, mother unaffected
Father affected, mother at least carrier
Father carrier, mother unaffected
If producers have 10,000 kcal, secondary consumers get approximately:
10,000 kcal
1,000 kcal
100 kcal
10 kcal
The fundamental unit where organisms can interbreed and produce fertile offspring is:
Genus
Phylum
Family
Species
