IGCSE Mathematics - International (0607) — October–November 2023, Paper 33

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

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Question 1 · 6 marks

The line AB is drawn on a 1 cm square grid. A is at (−1, −3) and B is at (2, 3). Write down the coordinates of point A and point B.

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Question 2 · 13 marks

Write 17 852 in words.

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Question 3 · 10 marks

Simplify. 3x + 5y + 7 − 2x + 4y − 9

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Question 4 · 8 marks

Inaya surveys the eye colour of everyone in her class (Blue 5, Brown 8, Green 10, Grey 7, Other 2). Find how many students are in the survey.

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Question 5 · 16 marks

At AAA Golf Club, one round of golf costs $24 each player and golf balls cost $2.25 each. 4 friends go to the golf club to play one round of golf. They each buy 3 golf balls. Work…

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Question 6 · 12 marks

The diagram shows a quadrilateral ABCD with vertices A and B along the bottom and D and C along the top, where DC is parallel to AB but shorter. Write down the mathematical name…

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Question 7 · 7 marks

The graph shows the cost of hiring a car. The cost, $y, depends on the distance, x km, travelled in the car. Paul hires a car and travels a distance of 120 km. Find how much this…

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Question 8 · 4 marks

A circle of radius 4.5 cm has the same area as a square. The length of one side of the square is x cm. (Diagram NOT TO SCALE.) Find the value of x.

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Question 9 · 7 marks

Simplify. x⁶ × x³

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Question 10 · 5 marks

X, Y and Z are three towns. Z is 590 km due South of X. Y is due West of Z. The bearing of Y from X is 220°. (Diagram NOT TO SCALE.) Use trigonometry to calculate the distance XY.

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Question 11 · 8 marks

On the diagram (axes x from −2 to 4, y from −10 to 10), sketch the graph of y = x² − x − 4 for −2 ≤ x ≤ 4.

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← October–November 2023 Paper 41 · October–November 2023 Paper 32 →

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