O-LevelMathematicsVectors and transformations4024/22 · May/June 2024 · Q511 Marks
Describe fully the single transformation that maps shape A onto shape B. [Figure 5.1]
- (a)Describe fully the single transformation that maps shape A onto shape B. [Figure 5.1][2]
- (b)(i)Shape A is mapped onto shape C by an enlargement of scale factor 3. Two of the vertices of shape C are (2, 5) and (5, 2). Find the coordinates of the centre of the enlargement.[2]
- (b)(ii)Find the area of shape C.[2]
- (c)(i)Transformation T is represented by the matrix [ (0 -1) / (1 0) ]. Transformation T maps shape A onto shape D. On the grid, draw shape D.[2]
- (c)(ii)Describe fully the single transformation represented by the matrix [ (0 -1) / (1 0) ].[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [2] Reflection / y = -x oe
- B1 for Reflection
- B1 for y = -x oe
- [2] (-4, 5)
- B1 for (-4, k) or (h, 5) with h < -2
- [2] 13.5 or 13 1/2 units²
- B1 for area A = 1.5 seen
- or for Answer 3^2× k where k > 0 and k≠ 1
- or M1 for (3+6)×3/2 oe
- [2] Shape D at (-6, -1) (-4, -1) (-5, -2) (-6, -2)
- B1 for three vertices correct or three correct pairs of coordinates soi
- [3] Rotation / 90° anticlockwise oe / (0, 0) oe
- B1 for Rotation
- B1 for 90° anticlockwise oe
- B1 for (0, 0) oe
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