Cambridge Assessment International Education · Cambridge O Level

4037 Additional Mathematics

Paper 1 · Variant 2

May/June 2019 · Component 12

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Questions

Question

5 marks

(a)

Two copies of a three-set Venn diagram (sets

A

B

and

C

within the universal set

E

) are provided. On the first, shade the region

A^{'} \cap B^{'} \cap C^{'}

; on the second, shade the region

A \cup (B \cap C)

Not in the current 2025–2027 syllabus. This part tests content that is no longer assessed in the current 4037 syllabus.

ExcelInExam original diagram

(b)

For the range

0^{\circ} \leq x \leq 36 0^{\circ}

, the set

P

consists of every value of

x

for which

cos 2 x = 0.5

, and the set

Q

consists of every value of

x

for which

sin x = 0.5

. Find

P \cap Q

Partly outside the current 2025–2027 syllabus. Some content in this part is no longer assessed in the current 4037 syllabus.

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