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Date November 2014 Marks available 3 Reference code 14N.1.sl.TZ0.8
Level SL only Paper 1 Time zone TZ0
Command term Complete Question number 8 Adapted from N/A

Question

Tuti has the following polygons to classify: rectangle (R), rhombus (H), isosceles triangle (I), regular pentagon (P), and scalene triangle (T).

In the Venn diagram below, set \(A\) consists of the polygons that have at least one pair of parallel sides, and set \(B\) consists of the polygons that have at least one pair of equal sides.

Complete the Venn diagram by placing the letter corresponding to each polygon in the appropriate region. For example, R has already been placed, and represents the rectangle.

[3]
a.

State which polygons from Tuti’s list are elements of

(i)     \(A \cap B\);

(ii)     \((A \cup B)'\).

[3]
b.

Markscheme

     (A3)     (C3)

Note: Award (A3) if all four letters placed correctly,

(A2) if three letters are placed correctly,

(A1) if two letters are placed correctly.

a.

(i)     Rhombus and rectangle OR H and R     (A1)(ft)

(ii)     Scalene triangle OR T     (A2)(ft)     (C3)

 

Notes: Award (A1) for a list R, H, I, P seen (identifying the union).

Follow through from their part (a).

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 3 - Logic, sets and probability » 3.5 » Basic concepts of set theory: elements \(x \in A\), subsets \(A \subset B\); intersection \(A\mathop \cap \nolimits B\); union \(A\mathop \cup \nolimits B\); complement \({A'}\) .
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