IGCSE Mathematics - International (0607) — October–November 2024, Paper 61

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

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Question 1 · 9 marks

A: INVESTIGATION — HOUSE OF CARDS (30 marks). This investigation looks at the number of cards in a house of cards. Rows are counted down from the top of the house. A horizontal…

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Question 2 · 11 marks

The house number is the number of rows in the house. House 1: 0 horizontal, 2 diagonal, 2 total. House 2: 1 horizontal, 6 diagonal, 7 total. Complete the table. You may use the…

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Question 3 · 10 marks

The investigation now looks at the total number of cards in a sequence of houses of cards. The 1st diagram has 1 house (0 horizontal, 2 diagonal, 2 total). The 2nd has 2 houses (1…

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Question 4 · 10 marks

B: MODELLING — AGE AND FASTEST TIMES (30 marks). This task looks at how age affects the fastest recorded times for athletes to run 100 metres. The table shows the age of athletes…

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Question 5 · 7 marks

For athletes younger than 20 years there is a different model for the fastest time to run 100 m. The graph shows the model. An athlete aged 13 years runs 100 m. Use the graph to…

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Question 6 · 6 marks

For athletes aged from 82 years to 105 years there is a different model for the fastest time to run 100 m. This model is y = 0.0381x² − 6.23x + 269. On the axes, sketch the graph…

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Question 7 · 5 marks

For any age, the fastest recorded time to run 100 m is 9.58 seconds. Use each model to find the possible ages of the athlete who ran this fastest time.

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