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15-Minute CSCA Diagnostic Readiness Test
Answer 12 core simulation questions selected from actual CSCA test dimensions. Identify your strongest subject, diagnose curriculum gaps, and discover your university competitiveness band.
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0 of 12 Questions Answered
Question 1 • Mathematics
Find the solution set of the logarithmic inequality log₂(3 - x) < 0:
A. (2, 3)
B. (-∞, 2)
C. (2, +∞)
D. (0, 3)
Question 2 • Mathematics
What are the coordinates of the foci of the hyperbola x²/4 - y²/5 = 1?
A. (-1, 0) and (1, 0)
B. (-3, 0) and (3, 0)
C. (0, -3) and (0, 3)
D. (-9, 0) and (9, 0)
Question 3 • Mathematics
Find the maximum value of the function f(x) = 2x³ - 3x² - 36x + 1 on the closed interval [-3, 4]:
A. 28
B. 45
C. 1
D. -63
Question 4 • Physics
An object of mass m = 6 kg is moving to the right on a horizontal surface with coefficient of kinetic friction μ = 0.2 (take g = 10 m/s²). If it is simultaneously acted upon by a horizontal force F = 10 N directed to the left, what is the net force on the object?
A. 2 N, horizontally to the right
B. 2 N, horizontally to the left
C. 22 N, horizontally to the left
D. 12 N, horizontally to the left
Question 5 • Physics
In a uniform electric field of strength E = 400 V/m, a positive point charge q = +2.0 × 10⁻⁶ C moves along a straight segment AB of length d = 0.5 m. If segment AB makes a 60° angle with the electric field direction, what is the work W done by the electric field force?
A. 2.0 × 10⁻⁴ J
B. 4.0 × 10⁻⁴ J
C. 3.5 × 10⁻⁴ J
D. 0 J
Question 6 • Physics
A charged particle of mass m and charge q enters a uniform magnetic field B with velocity v perpendicular to B. What is the radius R of its circular trajectory?
A. R = (q B) / (m v)
B. R = (m v) / (q B)
C. R = (m v²) / (q B)
D. R = (q v) / (m B)
Question 7 • Chemistry
For the exothermic reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g) (ΔH < 0), which condition favors maximum equilibrium yield of NH₃?
A. High temperature, low pressure
B. High temperature, high pressure
C. Low temperature, high pressure
D. Low temperature, low pressure
Question 8 • Chemistry
Which of the following organic compounds is a homologue (同系物) of ethylene (C₂H₄) and decolorizes bromine water via an addition reaction?
A. Ethane (C₂H₆)
B. Propylene (C₃H₆)
C. Benzene (C₆H₆)
D. Acetylene (C₂H₂)
Question 9 • Chemistry
At 25 °C, what is the pH of a 0.05 mol/L aqueous solution of diprotic strong acid H₂SO₄ (assuming complete dissociation)?
A. pH = 1.0
B. pH = 1.3
C. pH = 2.0
D. pH = 0.5
Question 10 • Chinese Language
在学术中文语境中,哪一个关联词最适合表示递进关系?
A. 虽然……但是……
B. 不仅……而且……
C. 与其……不如……
D. 因为……所以……
Question 11 • Chinese Language
请选出下列句子中表达最为得体且符合学术规范的一项:
A. 这个实验结果简直好得不得了,我们都很高兴。
B. 本文通过实证数据分析,探讨了该现象的在华演变机制。
C. 大家伙儿都觉得这个想法挺有意思的。
D. 老师说了,这个理论就是这样弄的。
Question 12 • Chinese Language
In the idiom '权衡利弊' (quán héng lì bì), what does '权衡' (quán héng) accurately signify in modern Chinese context?
A. To exercise political authority
B. To weigh, compare and assess options
C. To shoulder legal responsibility
D. To renounce aspirations
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