Boolean logic: past paper questions

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• Question 8May/June 2026, paper 21Structured7 marks

  Consider the logic circuit: Write the logic expression for the given logic circuit.

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• Question 4Oct/Nov 2025, paper 21Structured14 marks

  A restaurant offers a fixed priced menu. A meal for an adult costs $9.99 and a meal for a child costs $6.99. If there are 6 or more people at a table, a 15% discount is applied to the total cost of the order.

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• Question 2Oct/Nov 2024, paper 21Multiple choice1 mark

  Tick (✓) one box to identify which option is used to show the inputs and output of a Boolean expression.

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• Question 7Oct/Nov 2023, paper 21Structured8 marks

  Consider this logic circuit. Write a logic expression for this logic circuit.

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• Question 8May/June 2026, paper 22Structured9 marks

  Consider the logic expression: Z = NOT (B OR NOT C) XOR (A NAND C) Draw a logic circuit for this logic expression.

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• Question 6Oct/Nov 2025, paper 22Structured8 marks

  Consider the logic expression: X = (J XOR NOT K) NAND NOT L Draw a logic circuit for the logic expression.

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• Question 7Oct/Nov 2024, paper 21Structured7 marksHas a diagram

  Consider the logic circuit: Write a logic expression for the given logic circuit.

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• Question 9Oct/Nov 2023, paper 22Structured8 marks

  Consider the logic expression: Z = (A NAND B) OR NOT (B XOR C) Draw a logic circuit for this logic expression.

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• Question 7May/June 2026, paper 23Structured8 marks

  Consider the logic expression: X is 1 if (P = NOT 1 AND Q = 1) XOR (Q = 1 NOR R = 1) Draw a logic circuit for the given logic expression.

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• Question 4Oct/Nov 2025, paper 23Structured14 marks

  Tickets for a theme park are booked online. An adult ticket costs $12.99 and a child ticket costs $7.99.

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• Question 9Oct/Nov 2024, paper 22Structured8 marks

  Consider the logic expression: X = (NOT P OR Q) NAND (Q XOR R) Draw a logic circuit for this logic expression.

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• Question 6Oct/Nov 2023, paper 23Structured11 marks

  There are three descriptions of logic gates. Each logic gate has two inputs A and B with one output X. Identify each logic gate.

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• Question 7May/June 2025, paper 21Structured8 marks

  Consider the logic expression: X = (A AND B) XOR (B OR NOT C) Draw a logic circuit for this logic expression.

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• Question 3Oct/Nov 2024, paper 23Structured4 marksHas a diagram

  Four logic gates and five logic gate symbols are shown. Draw one line to link each logic gate to its correct symbol.

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• Question 9May/June 2023, paper 21Structured8 marks

  Consider this logic expression. $$Z=(\text{NOT }A\text{ OR }B)\text{ AND }(B\text{ XOR }C)$$ Draw a logic circuit for this logic expression.

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• Question 8May/June 2025, paper 22Structured8 marks

  Draw the symbol for an XOR logic gate and complete the truth table for it.

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• Question 8Oct/Nov 2024, paper 23Structured4 marks

  A logic circuit is to be built to control the automatic opening of a window. The window W opens if the temperature T is too high, the heater H is off, and the air conditioning A is off. Complete the truth table for this problem.

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• Question 2May/June 2023, paper 22Structured4 marksHas a diagram

  Four logic gates and five standard symbols for logic gates are shown. Draw one line to link each logic gate to its standard symbol.

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• Question 7May/June 2025, paper 23Structured8 marks

  Draw the symbol for a NOR logic gate and complete the truth table for it.

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• Question 8May/June 2024, paper 21Structured9 marks

  Consider the logic expression: Z = (R OR NOT T) XOR (NOT S AND T) Draw a logic circuit for this logic expression.

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• Question 8May/June 2023, paper 22Structured4 marksHas a diagram

  Consider this logic expression. X = (A OR B) AND (NOT B AND C) Complete the truth table for this logic expression.

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• Question 2May/June 2024, paper 22Structured4 marksHas a diagram

  Four logic functions and five standard symbols for logic gates are shown. Draw one line to link each logic function to its standard symbol.

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• Question 8May/June 2023, paper 23Structured8 marks

  Consider the logic expression: Z is 1 if (A = 1 AND C = NOT 1) AND (B = 1 NOR C = 1) Draw a logic circuit for this logic expression.

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• Question 8May/June 2024, paper 22Structured7 marksHas a diagram

  A logic circuit is to be built to control the opening of a safe used to store money. There are two keys, A and B, and a time switch C. The safe can only open if both keys are used and the time switch is off.

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• Question 2May/June 2024, paper 23Structured8 marksHas a diagram

  Four logic gate symbols and five logic functions are shown. Draw one line to link each logic gate symbol to the appropriate logic function.

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