IGCSE Mathematics - International (0607) — May–June 2023, 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 · 5 marks

Another grid is 4 by 4. You now need four symbols in a line to win. Find the number of winning lines on a 4 by 4 grid.

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Question 2 · 9 marks

In a 3 by 3 grid you need two symbols in a line to win. Complete the table to find the number of winning lines with two symbols (Horizontal, Vertical, Diagonal = 8, Total for the…

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Question 3 · 10 marks

Complete the table for the number of winning lines with two symbols (Horizontal, Vertical, Diagonal, Total) for grids 2 by 2, 2 by 3, 2 by 4, 2 by 5 and 2 by w. (2 by 2: 2,2,2,6;…

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Question 4 · 6 marks

Complete the table with an expression for the number of diagonal winning lines in terms of n and w. You do not need to simplify. (Number of horizontal winning lines = n(w − n +…

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Question 5 · 9 marks

Plot these points on the axes and draw a line of best fit. The first three points have been plotted for you.

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Question 6 · 8 marks

Show that a linear relationship connects H and S.

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Question 7 · 13 marks

This table shows values of I for some temperatures: T = −20 → 0.0006H; T = 0 → 0.0031H; T = 10 → 0.0056H; T = 40 → 0.0412H. A new model is I = (kT/350)H. When T = 40, find the…

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