AS & A Level Thinking Skills (9694) — May–June 2024, Paper 11

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

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Question 1 · 2 marks

A public library has 5 computers, each of which can be booked for 20-minute slots. The library is open from 09:15 to 12:30 and from 13:15 to 16:30 each day. The computers are…

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Question 2 · 4 marks

A car rental company offers luxury sports cars for hire. The customer is charged a standard $700 per day, plus $5 for every kilometre travelled during the hire period. A customer…

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Question 3 · 7 marks

An orchestra is putting on a concert. The concert will consist of two halves with an interval in between. The orchestra will play a total of eight pieces of music, four in each…

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Question 4 · 3 marks

The river Meshat is 376 km long. The river starts at Swanley and reaches the sea at Waverley. There is a footpath alongside the river, so people can walk from Swanley to Waverley.…

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Question 5 · 2 marks

Mavis is forgetful, but the things that she does remember are correct. Last weekend, she took between 3 and 5 of her grandchildren shopping to between 2 and 4 shops. In each shop…

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Question 6 · 4 marks

In the TV quiz Venture, each contestant is asked a maximum of 50 questions. Every correct answer scores 5 points, but 2 points are deducted for every question 'passed' (not…

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Question 7 · 5 marks

On a shopping trip, each of five friends bought something and spent a whole number of dollars. Angela spent $5 more than Katie, Katie spent $4 more than Harry, Harry spent $2 more…

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Question 8 · 5 marks

In a diving event, competitors are given a mark out of 10 by each of two judges. The difficulty of a dive is rated on a scale from 1 to 5 in steps of 0.5 (so 1, 1.5, 2, ...). The…

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Question 9 · 5 marks

In a game, the two players start with 5 marbles each. They take turns to be the 'hider' and the 'guesser'. The hider conceals any number of marbles from 0 to 5 in their hand, and…

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Question 10 · 3 marks

Ben is planning to buy a magazine that will be published every Monday for the next 27 weeks. The first issue will cost $3 and then the remaining issues will cost $10 each. Ben…

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Question 11 · 5 marks

Twins Pru and Simon both put 50c coins and 20c coins into jars on each of the thirty days of April. Each day Pru put at least three 50c coins into her jar and at least two 20c…

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Question 12 · 2 marks

My bank records a reference for each transaction, but the online statement and the printed statement are displayed differently. The printed statement forces the first letter into…

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Question 13 · 3 marks

In a college of 100 students, three different cards are used: a sports card, a dinner card and a library card. Each card gives access to a different building. Exactly five…

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