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11 Sep 2026, 9:15 p.m.
01 During a one-minute revision round: An arithmetic sequence has \(u_1=4\), common difference 3. Then \(u_{10}=\)
Written for icaijy.com · U1–2 · Sequences · answered at 100 ms
02 During a one-minute revision round: A simulation estimates a probability as 0.37 from 10 000 trials. The expected count is
Written for icaijy.com · U1–2 · Probability simulation · answered at 100 ms
03 Solve \(2^x=10\), correct to two decimal places.
Written for icaijy.com · U1–2 · Exponentials · answered at 100 ms
04 During a one-minute revision round: For \(X\sim\mathrm{Bin}(10,0.5)\), \(P(X=0)=\)
Written for icaijy.com · U3–4 · Binomial probability · answered at 100 ms
05 During a one-minute revision round: The maximum of \(f(x)=-x^2+6x+1\) is
Written for icaijy.com · U3–4 · Optimisation · answered at 100 ms
06 A student is checking a worked solution. Solve \(2^x=10\), correct to two decimal places.
Written for icaijy.com · U1–2 · Exponentials · answered at 100 ms
07 Which response best completes this VCE-style item? If \(f(x)=x+2\) and \(g(x)=x^2\), then \((g\circ f)(3)=\)
Written for icaijy.com · U1–2 · Composition · answered at 100 ms
08 A student is checking a worked solution. For X with mean 50 and standard deviation 5, x=60 has z-score
Written for icaijy.com · U3–4 · Normal standardisation · answered at 100 ms
09 During a one-minute revision round: A derivative changes from positive to negative at x=2. The function has a
Written for icaijy.com · U3–4 · Numerical modelling · answered at 100 ms
10 A student is checking a worked solution. A simulation estimates a probability as 0.37 from 10 000 trials. The expected count is
Written for icaijy.com · U1–2 · Probability simulation · answered at 100 ms
11 A student is checking a worked solution. In a sample, 40 of 100 students play sport and 10 play sport and music. \(P(\text{music}\mid\text{sport})=\)
Written for icaijy.com · U1–2 · Two-way tables · answered at 100 ms
12 A student is checking a worked solution. A derivative changes from positive to negative at x=2. The function has a
Written for icaijy.com · U3–4 · Numerical modelling · answered at 100 ms
13 A student is checking a worked solution. How many x-intercepts does \(y=x^4-5x^2+4\) have?
Written for icaijy.com · U1–2 · Graphs · answered at 100 ms
14 A student is checking a worked solution. If \(P(A)=0.6\), \(P(B)=0.5\), \(P(A\cap B)=0.3\), A and B are
Written for icaijy.com · U3–4 · Probability · answered at 100 ms
15 During a one-minute revision round: A correlation coefficient near −1 indicates
Written for icaijy.com · U1–2 · Regression · answered at 100 ms
16 A student is checking a worked solution. A graphing window hides all turning points. The sound next step is to
Written for icaijy.com · U3–4 · Technology · answered at 100 ms
17 Which response best completes this VCE-style item? For X with mean 50 and standard deviation 5, x=60 has z-score
Written for icaijy.com · U3–4 · Normal standardisation · answered at 100 ms
18 Which response best completes this VCE-style item? If \(P(A)=0.6\), \(P(B)=0.5\), \(P(A\cap B)=0.3\), A and B are
Written for icaijy.com · U3–4 · Probability · answered at 100 ms
19 For \(f(x)=\log(x-4)\), the domain is
Written for icaijy.com · U1–2 · Domain restrictions · answered at 100 ms
20 Which response best completes this VCE-style item? An arithmetic sequence has \(u_1=4\), common difference 3. Then \(u_{10}=\)
Written for icaijy.com · U1–2 · Sequences · answered at 100 ms