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RUN REVIEW · Specialist Mathematics · Units 1 & 2 · Tech-active

That y8 kid 🤣 - bot · guest

11 Sep 2026, 9:21 p.m.

20Serious score
01 During a one-minute revision round: The angle between (1,0) and (1,1) is
A \(\pi/2\) This does not satisfy the stated relationship.
B \(\pi/4\) The dot-product cosine is 1/√2.
C \(\pi\) This does not satisfy the stated relationship.
D \(3\pi/4\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Vectors · answered at 100 ms

02 A student is checking a worked solution. The principal argument of \(-1+i\) is
A \(5\pi/4\) This does not satisfy the stated relationship.
B \(\pi/4\) This does not satisfy the stated relationship.
C \(-3\pi/4\) This does not satisfy the stated relationship.
D \(3\pi/4\) The point lies in quadrant II.

Written for icaijy.com · U1–2 · Polar form · answered at 100 ms

03 Which response best completes this VCE-style item? The equations \(x+y=5\), \(x-y=1\) have solution
A \((2,3)\) This does not satisfy the stated relationship.
B \((4,1)\) This does not satisfy the stated relationship.
C \((3,2)\) Add the equations to obtain x=3.
D \((5,0)\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Linear systems · answered at 100 ms

04 One Newton step for \(f(x)=x^2-2\) from \(x_0=1.5\) gives
A approximately 2.0000 This does not satisfy the stated relationship.
B approximately 1.2500 This does not satisfy the stated relationship.
C approximately 1.5000 This does not satisfy the stated relationship.
D approximately 1.4167 \(x_1=x_0-f(x_0)/f\prime(x_0)\).

Written for icaijy.com · U1–2 · Numerical methods · answered at 100 ms

05 Which response best completes this VCE-style item? A vector calculation returns magnitude −4. The correct interpretation is
A a magnitude cannot be negative, so the setup or output is wrong Magnitude is a non-negative scalar.
B the vector points down This does not satisfy the stated relationship.
C the magnitude is −4 This does not satisfy the stated relationship.
D the vector points left This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Modelling · answered at 100 ms

06 A student is checking a worked solution. A geometric sequence has first term 3 and ratio 2. Its sixth term is
A 48 This does not satisfy the stated relationship.
B 192 This does not satisfy the stated relationship.
C 96 3×2⁵=96.
D 64 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Sequences · answered at 100 ms

07 During a one-minute revision round: Solve \(2\cos x=1\) on \([0,2\pi]\).
A \(x=\pi/3,2\pi/3\) This does not satisfy the stated relationship.
B \(x=\pi/6,5\pi/6\) This does not satisfy the stated relationship.
C \(x=\pi/3,5\pi/3\) Cosine is 1/2 in quadrants I and IV.
D \(x=2\pi/3,4\pi/3\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Trigonometry · answered at 100 ms

08 A complete graph \(K_6\) has how many edges?
A 6 This does not satisfy the stated relationship.
B 30 This does not satisfy the stated relationship.
C 15 \(6\times5/2=15\).
D 12 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Graphs · answered at 100 ms

09 Which response best completes this VCE-style item? Solve \(2\cos x=1\) on \([0,2\pi]\).
A \(x=\pi/6,5\pi/6\) This does not satisfy the stated relationship.
B \(x=2\pi/3,4\pi/3\) This does not satisfy the stated relationship.
C \(x=\pi/3,5\pi/3\) Cosine is 1/2 in quadrants I and IV.
D \(x=\pi/3,2\pi/3\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Trigonometry · answered at 100 ms

10 During a one-minute revision round: \((2+i)(3-i)=\)
A \(6-i\) This does not satisfy the stated relationship.
B \(7-i\) This does not satisfy the stated relationship.
C \(7+i\) Expand and use i²=−1.
D \(5-i\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Complex arithmetic · answered at 100 ms

11 Which response best completes this VCE-style item? The angle between (1,0) and (1,1) is
A \(\pi\) This does not satisfy the stated relationship.
B \(\pi/2\) This does not satisfy the stated relationship.
C \(\pi/4\) The dot-product cosine is 1/√2.
D \(3\pi/4\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Vectors · answered at 100 ms

12 A student is checking a worked solution. Testing 10 000 cases with CAS establishes a universal integer claim
A whenever no counterexample appears This does not satisfy the stated relationship.
B only if paired with a valid general proof Finite checking alone does not prove an infinite claim.
C only for prime inputs This does not satisfy the stated relationship.
D with certainty by itself This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Proof checking · answered at 100 ms

13 A matrix inverse command fails because det(A)=0. This means A is
A singular Zero determinant means no inverse.
B orthogonal This does not satisfy the stated relationship.
C diagonal with non-zero entries This does not satisfy the stated relationship.
D the identity This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Technology · answered at 100 ms

14 During a one-minute revision round: A complete graph \(K_6\) has how many edges?
A 12 This does not satisfy the stated relationship.
B 15 \(6\times5/2=15\).
C 30 This does not satisfy the stated relationship.
D 6 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Graphs · answered at 100 ms

15 During a one-minute revision round: \(1+2+4+8+16=\)
A 64 This does not satisfy the stated relationship.
B 32 This does not satisfy the stated relationship.
C 31 This finite geometric sum is 2⁵−1.
D 30 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Series · answered at 100 ms

16 A student is checking a worked solution. A complete graph \(K_6\) has how many edges?
A 30 This does not satisfy the stated relationship.
B 12 This does not satisfy the stated relationship.
C 6 This does not satisfy the stated relationship.
D 15 \(6\times5/2=15\).

Written for icaijy.com · U1–2 · Graphs · answered at 100 ms

17 A student is checking a worked solution. If \(u_{n+1}=u_n+3\) and \(u_1=2\), then \(u_5=\)
A 14 Four increments of 3 give 14.
B 17 This does not satisfy the stated relationship.
C 15 This does not satisfy the stated relationship.
D 11 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Recurrence · answered at 100 ms

18 A student is checking a worked solution. The determinant of \(\begin{pmatrix}2&1\\3&4\end{pmatrix}\) is
A −5 This does not satisfy the stated relationship.
B 5 2×4−1×3=5.
C 11 This does not satisfy the stated relationship.
D 8 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Matrices · answered at 100 ms

19 A student is checking a worked solution. A vector calculation returns magnitude −4. The correct interpretation is
A the vector points left This does not satisfy the stated relationship.
B a magnitude cannot be negative, so the setup or output is wrong Magnitude is a non-negative scalar.
C the vector points down This does not satisfy the stated relationship.
D the magnitude is −4 This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Modelling · answered at 100 ms

20 Solve \(2\cos x=1\) on \([0,2\pi]\).
A \(x=\pi/3,5\pi/3\) Cosine is 1/2 in quadrants I and IV.
B \(x=\pi/6,5\pi/6\) This does not satisfy the stated relationship.
C \(x=\pi/3,2\pi/3\) This does not satisfy the stated relationship.
D \(x=2\pi/3,4\pi/3\) This does not satisfy the stated relationship.

Written for icaijy.com · U1–2 · Trigonometry · answered at 100 ms

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