O-LevelMathematicsGeometry4024/21 · May/June 2021 · Q413 Marks
The diagram shows a sketch of quadrilateral ABCD. [Figure 4.1] Construct an accurate drawing of ABCD. AC has been drawn for you.
- (a)(i)The diagram shows a sketch of quadrilateral ABCD. [Figure 4.1] Construct an accurate drawing of ABCD. AC has been drawn for you.[3]
- (a)(ii)Measure ADC.[1]
- (a)(iii)By taking a suitable measurement from your diagram, find the perimeter of quadrilateral ABCD.[1]
- (b)(i)The diagram shows a cuboid. [Figure 4.2] TW = 15 cm, WV = 10cm and RV = 8cm. Show that TR = 19.7 cm, correct to 1 decimal place.[3]
- (b)(ii)X is the midpoint of PQ. Calculate TRX.[5]
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 2021). The mark or mark type is shown in brackets.
- [3] Correct quadrilateral with construction arcs
- [3] B2 for triangle ABC correct with construction arcs or triangle ADC correct
- [3] or B1 for ABC correct with no/incorrect arcs or DAC = 50°
- [1] their ADC
- [1] 18.5 + their DC
- [3] 19.72...
- [3] M2 M1 for any correct 2D Pythag pair e.g. 8² + 10²
- [3] A1
- [5] 28.[0] to 28.2
- [5] M1 for 8² + (10/2)²
- [5] M1 for 15² + (10/2)²
- [5] M2 for cos...= (19.7²+RX²-TX²)/(2×19.7xRX)
- [5] or M1 for TX² = 19.7² + RX² – 2 × 19.7 × RX cos...
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