IGCSE Mathematics - International (0607) — October–November 2024, Paper 62

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

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Question 1 · 7 marks

A: INVESTIGATION — REVERSE DIFFERENCES (30 marks). This investigation looks at what happens when you reverse the digits of a number and then find the difference between the new…

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Question 2 · 7 marks

You can find reverse differences for 3-digit numbers using the same steps. Example: 138 → 831 → 831 − 138 = 693. The table continues to the right until 199. Complete the first…

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Question 3 · 5 marks

Use your result from Question 2(d)(i) to answer both parts of this question. Anna uses 3-digit numbers to find reverse differences. The reverse difference for a 3-digit number is…

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Question 4 · 9 marks

Find an expression for the reverse difference for the 5-digit number abcde, where a e.

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Question 5 · 9 marks

B: MODELLING — NEWSPRINT (30 marks). This task looks at the amount of newsprint in a newspaper and the number of trees used to make it. Newsprint is the (always rectangular) paper…

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Question 6 · 4 marks

There are different sizes of newsprint. A sheet of newsprint measures L mm by W mm. The mass of one square metre of newsprint is d grams. Each newspaper has S sheets of newsprint.…

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Question 7 · 6 marks

Newsprint is made from the wood of fast-growing fir trees. There are four stages to make newsprint: cut down the tree; saw off the branches to leave the trunk; grind down the…

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Question 8 · 3 marks

Trees are usually planted in grids to make them easier to look after. Each dot is a tree. The distance between a tree and its nearest neighbour is D metres. Find a model, in terms…

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Question 9 · 3 marks

Sketch your model from Question 8, for values of D between 0 and 10.

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Question 10 · 4 marks

When wood pulp is turned into newsprint the mass remains the same. 12 trees make 1 tonne of wood pulp. There are 620 trees in each 100 m by 100 m square. The company needs the…

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