Vectors and transformations — IGCSE Mathematics - International (0607) questions by topic
Vectors here mean magnitude-and-direction work alongside transformation description: finding the magnitude of a column vector, describing fully the single transformation mapping one triangle onto another, and translating a triangle by a given vector on a coordinate grid.
Describe, construct, find and draw are the command words tested, worth from 2 to 7 marks, across 8 questions from 2025 papers. Because 'describe fully' demands every detail of a transformation, such as type, scale factor or vector, practise naming each required element in turn, then use instant marking to check whether your description would count as complete or was missing one defining detail.
May–June 2025, Paper 11
The diagram shows three shapes A, B and C drawn on a coordinate grid (x-axis 0 to 11, y-axis 0 to 13). Shape A is a shaded right-angled trapezium-like shape on the left (around x…
Answer this question and get it marked →May–June 2025, Paper 12
Describe fully the single transformation that maps shape A onto shape B.
Answer this question and get it marked →May–June 2025, Paper 13
Triangle A and triangle B are drawn on a square grid with axes from -5 to 5. Triangle A is in the upper-left region with vertices at (-4, 1), (-4, 3) and (1, 3). Triangle B is in…
Answer this question and get it marked →May–June 2025, Paper 21
The grid shows triangles A, B and C. Describe fully the single transformation that maps triangle A onto triangle B.
Answer this question and get it marked →May–June 2025, Paper 23
The diagram shows triangle T with vertices at (2, 1), (4, 1) and (4, 2) on a coordinate grid, and triangle P drawn to the left of the y-axis. Translate triangle T by the vector…
Answer this question and get it marked →May–June 2025, Paper 41
The diagram shows point A(-4, 3) and point B(5, -2) on a coordinate grid. Point A is translated to point B. Find vector AB (the column vector representing the translation from A…
Answer this question and get it marked →May–June 2025, Paper 42
The diagram shows triangle A with vertices (2, 8), (2, 5) and (4, 5), and triangle B with vertices (-6, 8), (-8, 5) and (-6, 5), drawn on a grid with axes from -9 to 9. Translate…
Answer this question and get it marked →May–June 2025, Paper 43
Vector PQ = (5, -4) (a column vector with top component 5 and bottom component -4). Find PQ (the magnitude of vector PQ).
Answer this question and get it marked →Other IGCSE Mathematics - International topics
- Algebra (75)
- Number (70)
- Statistics (21)
- Geometry (20)
- Mensuration (18)
- Functions (14)
- Trigonometry (14)
- Coordinate geometry (8)
- Sets (6)
- Probability (5)