IGCSE Mathematics - International (0607) — May–June 2023, Paper 62

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

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Question 1 · 1 mark

Rectangles of width 1: length 1 → 1 square, length 2 → 2 squares, length 3 → 3 squares. Complete the statements: The number of squares in a rectangle of width 1 and length 4 is…

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Question 2 · 9 marks

Draw lines on the (2 by 4) rectangles and write the number of squares under each one to show there is a total of 11 squares (squares of side 1, side 2, side 2).

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Question 3 · 8 marks

Draw lines on the (3 by 4) rectangles and write the number of squares under each one to find the total number of squares in a rectangle of width 3 and length 4. You may not need…

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Question 4 · 12 marks

Complete the table giving the expression for the total number of squares in terms of L for rectangle widths w = 1 to 6. (Width 4 → 10L − 10 and Width 6 → 21L − 35 given. Use your…

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Question 5 · 12 marks

Show that the internal dimensions of the box are (L − 1) cm and (H − 1) cm.

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Question 6 · 18 marks

Show that the formula for A, the area of cardboard including the extra piece, is A = 3L² + 4LH − 2L + 1.

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← May–June 2023 Paper 63 · May–June 2023 Paper 61 →

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