2022 pearson june booklet + mark scheme Edexcel International GCSE 4MB1/02R Mathematics B PAPER 2R

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Answer ALL ELEVEN questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 The Venn diagram shows information about the numbers of students in a s ... chool who study History (H ), Music (M ) and Geography (G). H G E M 15 12 11 3 6 14 21 32 (a) Find the number of students who study Geography. (1) (b) Find the number of students who study exactly two of the subjects History, Music and Geography. (1) (c) On the Venn diagram above, shade the region that represents the set H ∩ G¢ (1) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. *P69310A0332* Turn over 3 Question 1 continued E is the universal set and A and B are two sets such that E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A ∩ B = {multiples of 3} A ∩ B¢ = {2, 4, 8, 10} (A ∪ B)¢ = {1, 7} (d) Use the information about the setsE, A and B to complete the Venn diagram below. A E B (3) (e) Find n(B) (1) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. ................................................................................................................................................................................................................................................. 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