Loci

Worksheet Answers

Worksheet 1: Programme Questions

1. Loci
2. 5km
3. 1cm:1km
4. circles (overlapping)
5. semi-circle
6. equidistant
7. The angle bisector
8. The studio and Emmerdale village
9. 4
10. At more than half the distance AB

Worksheet 2: Tick or Trash

Question 1

Student B is correct.

Question 2

Student A is correct. Student B has marked the midpoint of the line AB and drawn a vertical line through it.

Worksheet 3: Exam Practice Questions (Edexcel)

This is a selection of past exam questions from Edexcel, targeted at the middle ability range. You can use the sequence as it stands or select individual questions to suit your needs.

Below is the mark scheme for each question, which may help you to see how marks are allocated and what the examiner is especially looking for. The mark schemes use the following abbreviations:

oe	or equivalent
cao	correct answer only
ft	follow-through marks
dep	dependent
indep	independent
M	method marks
A	accuracy marks
B	benefit-of-doubt mark
SC	special case

Question 1

(a) Perpendicular bisector of PQ
(b) Circle radius 4cm ± 2mm, centre P
(c) T correct

Notes:
(a) B2 for line at least 3cm long within guidelines
(B1 for 2 points)
(b) B2 for the arc of the circle on land within guidelines, covering all land
(B1 for 6 points or a smaller arc of the circle)
(c) B1 (ind) within guidelines (condone omission of label if clear)

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Question 2

Notes:
B1 for at least the smaller arc AB of the circle, centre P, radius 3cm (±2mm)
B1 for perpendicular bisector of PQ
B1 for shading correct part (dep on previous B marks)

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Question 3

Perpendicular bisector of PQ constructed

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Question 4

(a) Circle drawn at 5cm radius, circle shaded
(b) i) 70.5
ii) 69.5

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Question 5

(a) 0.9 ÷ 3 x 2 = 0.6m
(b) 28 ÷ 2 x 3 = 42m

Notes:
B2 cao for pair of parallel lines = in length to AB and 3cm from AB (within guidelines)
(B1 if 2 parallel lines 3cm from AB, but not = in length to AB or if only 1 parallel line drawn equal to AB and 3cm from AB) {Note: use guidelines for the 3cm}
B1 two semi-circles radii 3cm (within guidelines)
SC: B1 for a 'similar' correct shape, but '3cm' incorrect.