O Level Mathematics 4024, topic 6.4

Pythagoras’ theorem and trigonometry in 3D: past paper questions

3 Cambridge O Level Mathematics 4024 questions on Pythagoras’ theorem and trigonometry in 3D (6.4) from 3 papers, 2023 to 2024. Open the paper or try a question free.

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Questions: 3
Papers: 3
Years: 2023 to 2024
Total marks: 24
Average per question: 8 marks
Largest question: 12 marks

By type: Structured 3

How hard the questions are

Recall0
Apply3
Analyse0
Not banded0

Derived from the command word Cambridge prints in each question, banded by a fixed table beside the syllabus's own definitions. A question printing no command word is unbanded: unknown, not middling.

Command words

calculateApply3 questions
work out from given facts, figures or information
findApply1 question
showApply1 question
show thatApply1 question

Where the questions come from

By year

20241
20232

By session

May/June2
Oct/Nov1

By paper

Paper 11
Paper 22

Questions on this topic

Showing 3 of 3, spread across the years. Open one to write your answer and have it marked.

Question 25Oct/Nov 2024, paper 11Structured3 marksHas a diagram
The diagram shows a cuboid. $E H = 6 c m$ , $H G = 2 c m$ and $E C = 7 c m$ . Calculate $C G$ .
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Question 11May/June 2023, paper 21Structured9 marksHas a diagram
The diagram shows an open container on a horizontal surface. The container is a prism with trapezium $A B C D$ as its cross-section. $A B = 28 cm$ , $D C = 24 cm$ , $A D = 16 cm$ and $B F = 29 cm$ .
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Question 9May/June 2023, paper 22Structured12 marksHas a diagram
$A$ , $B$ and $C$ are points on horizontal ground. The bearing of $B$ from $A$ is $072^{\circ}$ . The bearing of $C$ from $A$ is $205^{\circ}$ .
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