IGCSE Mathematics - International (0607) — May–June 2024, Paper 52

6 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.

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Question 1 · 5 marks

INVESTIGATION — INTEGER TREES. This investigation looks at patterns when integers are arranged in the shape of a tree. A tree uses consecutive integers starting with 1 at the top.…

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Question 2 · 6 marks

Complete the table for trees with 2 leaves on each branch. Use your answers to Question 1 to help you. Number of branches (n) A B T A − B A + B − T --- --- --- --- --- --- 2 6 3 5…

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Question 3 · 5 marks

In this question trees have 3 leaves on each branch. This tree has 6 branches (trunk holds 1, 5, 9, 13, 17, 21). Complete the table. Number of branches (n) A B T A − B A + B − T…

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Question 4 · 2 marks

In this question trees have 4 leaves on each branch. The table shows values of A − B and A + B − T. Complete the last row of the table with expressions in terms of n. Number of…

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Question 5 · 6 marks

Complete the table. Use your answers from Questions 2(b)(ii), 3(b) and 4 to help you. Number of branches Number of leaves on each branch (x) A − B A + B − T --- --- --- --- n 2…

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Question 6 · 11 marks

In this question trees have an odd number of branches (more than one branch). This tree has 5 branches with 2 leaves on each branch. The trunk holds 1, 4, 7, 10, 13. Find the…

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