IGCSE Mathematics - International (0607) — October–November 2023, Paper 13

24 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

Write down the mathematical name for a line joining the centre of a circle to its circumference.

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Question 2 · 1 mark

Work out how many complete weeks there are in 60 days.

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Question 3 · 1 mark

Write down the rule for continuing this sequence. 3, 6, 12, 24, 48, …

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Question 4 · 1 mark

A person has a mass of 83 000 grams. Find the mass of the person in kilograms.

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Question 5 · 2 marks

It costs 50 cents to post one letter. Work out the cost, in dollars, of posting 160 letters.

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Question 6 · 1 mark

Write down the value of the cube root of 1000.

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Question 7 · 2 marks

The table shows examples of types of data collected about members of a gym. Put a tick (✓) in each row to show whether the data is Discrete or Continuous. Type of data Discrete…

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Question 8 · 1 mark

Complete the mapping diagram. x f(x) ----- ------ 2 4 4 16 5 25 ... 49 10 100 (The mapping is f(x) = x²; find the missing input value for output 49.)

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Question 9 · 1 mark

Work out. 15 ÷ (4 − 9)

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Question 10 · 2 marks

A cuboid has dimensions 10 cm, 4 cm and 2 cm. Work out the volume of the cuboid.

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Question 11 · 1 mark

ℰ = {x ; x is an even number where 2 < x < 10} List the elements of the set ℰ.

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Question 12 · 2 marks

These are the ages in years of 10 people. 28 32 33 33 34 35 36 37 41 45 Find the interquartile range.

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Question 13 · 2 marks

Orange paint is made by mixing 2 litres of red paint with 10 litres of yellow paint. Jasmine uses 3 litres of red paint to make orange paint. Work out the number of litres of…

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Question 14 · 2 marks

Tom invests $400 at a rate of 2% per year simple interest. Work out the total value of the investment at the end of one year.

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Question 15 · 2 marks

The interior angles of a polygon add up to 720°. Find the number of sides of the polygon.

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Question 16 · 2 marks

The scatter diagram shows the relationship between the number of branches and the heights of 15 trees. The horizontal axis is tree height (m) from 0 to 5; the vertical axis is…

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Question 17 · 2 marks

Solve. 5 − 3x = 4x + 19

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Question 18 · 1 mark

The area of the European continent is 1.02 × 10⁷ km². Write this area as an ordinary number.

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Question 19 · 2 marks

Point A is translated to point B by the vector (c, d)ᵀ (column vector with top entry c and bottom entry d). In the diagram, B is above and to the left of A. Find the value of c…

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Question 20 · 2 marks

120 students are asked what they eat for lunch. 30 students eat sandwiches. 40 students eat fruit. 70 students did not eat sandwiches and did not eat fruit. Complete the Venn…

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Question 21 · 2 marks

An unbiased 6-sided spinner, numbered 1, 2, 3, 4, 5, 6, is spun twice. Find the probability that the spinner lands on the number 4 both times.

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Question 22 · 2 marks

Solve the simultaneous equations. 3x + y = 5 4x − y = 9

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Question 23 · 3 marks

A train leaves station X at 11 10 and travels at an average speed of 200 km/h. The train arrives at station Y at 11 22. Work out the distance between station X and station Y.

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Question 24 · 2 marks

Write as a single fraction. 3a/8 + a/4

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