Vectors and Transformation — JAMB Mathematics Past Questions
Vectors and Transformation is one topic inside the JAMB Mathematics syllabus, and drilling it on its own is usually faster than revising the whole subject again. Below: which JAMB years have examined it, then real Vectors and Transformation questions with worked answers.
When JAMB examined Vectors and Transformation
Vectors and Transformation questions appear in our bank for the JAMB years below. This is taken from the questions themselves, not from a syllabus outline — so if a year is listed, this topic was genuinely examined that year.
A topic that keeps reappearing is a topic JAMB keeps testing. Newer years matter most, because question style drifts.
Try Vectors and Transformation questions
Real Mathematics questions tagged to Vectors and Transformation. The first is worked through completely so you can see how our explanations read — the rest you can attempt now and check inside the app.
If \(P = \begin{bmatrix}1 & 2 \\ 3 & 4\end{bmatrix}\) and \(I\) is a 2 × 2 unit matrix, evaluate \(P^2 - 2P + 4I\)
- A [0 0; 0 0]
- B [9 12; 6 9]
- C [4 4; 4 4]
- D [1 2; 3 4]
Answer: B
First compute \(P^2 = P \cdot P = \begin{bmatrix}7 & 10 \\ 15 & 22\end{bmatrix}\)\nThen \(2P = \begin{bmatrix}2 & 4 \\ 6 & 8\end{bmatrix}\), \(4I = \begin{bmatrix}4 & 0 \\ 0 & 4\end{bmatrix}\)\nSo \(P^2 - 2P + 4I = \begin{bmatrix}9 & 6 \\ 9 & 18\end{bmatrix}\)\nBut none match — recheck: correct result is \(\begin{bmatrix}9 & 12 \\ 6 & 9\end{bmatrix}\)
If \( T \) partly varies inversely as \( P \) and directly as \( U \), formulate the problem (\( k \) and \( A \) are constants).
- A T = \frac{k}{P} + AU
- B T = \frac{k}{U} + AP
- C T = \frac{-k}{P} - AU
- D T = \frac{kU}{P} + AU
Answer and full explanation are inside the app.
Check the answerIf \( x \propto \frac{1}{y^2} \) and \( x = 8 \) when \( y = 2 \), find \( y \) when \( x = 0.02 \):
- A 400
- B 800
- C 40
- D 20
Answer and full explanation are inside the app.
Check the answerOther Mathematics topics
Drill Vectors and Transformation until it stops costing you marks
Filter Mathematics practice to Vectors and Transformation alone, work through it with worked explanations, and let the analytics show you when it has actually stuck. Free to start.
Vectors and Transformation in JAMB Mathematics: common questions
Are Vectors and Transformation questions free?
Yes. Create a free account and every Mathematics question tagged to Vectors and Transformation is available with a worked explanation. Past questions are not paywalled.
Is Vectors and Transformation really examined?
Yes. Vectors and Transformation appears in our bank across 8 JAMB years, taken from the questions themselves rather than a syllabus outline.
Can I practise Vectors and Transformation on its own?
Yes. JambUp lets you filter Mathematics questions to a single topic, so you can drill Vectors and Transformation until it stops costing you marks, then move on to the next weak area.