Q 1/10CSCA Standardderivatives · Product rule with logarithm
Let f(x) = x³·ln x (x > 0). What is f′(e)?
Target: ~70s · ID MATH-DER-002
Diagnostic · 10–15 min
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Ten CSCA Standard questions across every topic. Answer honestly — your plan builds from this.
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Q 2/10CSCA Standardderivatives · Tangent line
What is the equation of the tangent line to y = x² − 3x + 2 at x = 2?
Target: ~65s · ID MATH-DER-003
Q 3/10CSCA Standardfunctions · Composition
Let f(x) = 2ˣ and g(x) = x + 1. What is f(g(2))?
Target: ~60s · ID MATH-FUN-005
Q 4/10CSCA Standardfunctions · Even / odd functions
Which of the following functions is odd on ℝ?
Target: ~65s · ID MATH-FUN-006
Q 5/10CSCA Standardalgebra · Arithmetic sequences
An arithmetic sequence has a₁ = 3 and common difference d = 4. What is the sum of its first 10 terms?
Target: ~70s · ID MATH-ALG-008
Q 6/10CSCA Standardgeometry · Circle equation
The circle x² + y² − 4x + 6y − 12 = 0 has center and radius:
Target: ~75s · ID MATH-GEO-011
Q 7/10CSCA Standardprobability · Without replacement
A box has 3 red and 2 blue balls. Two balls are drawn without replacement. What is P(both red)?
Target: ~70s · ID MATH-PROB-014
Q 8/10CSCA Standardprobability · Complement rule
A fair coin is tossed 3 times. What is P(at least one head)?
Target: ~60s · ID MATH-PROB-015
Q 9/10CSCA Standardcalculus · Definite integral
Evaluate ∫₀² (2x + 1) dx.
Target: ~65s · ID MATH-CAL-017
Q 10/10CSCA Standardcalculus · Monotonicity
On which interval is f(x) = x³ − 3x² strictly decreasing?
Target: ~75s · ID MATH-CAL-018