AP problems

412 problems for AP practice, each with a worked solution. Try each one on paper first, then check your answer.

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Type:AnyConceptualNumericalPython-Coded

1.

Dev simulates Tt with tt using random.choice(mum) + random.choice(mum), where mum = "Tt" and dad =… New

High School (11–12), High School (9–10), Undergraduate, General · Biology by Computer, Simulation and RandomnessAPStemPy Lab

Medium

2.

Three dice are rolled. What is the probability that the sum is 15 or more?

High School (11–12), High School (9–10), Undergraduate, General · Simulation and RandomnessBoard Exam, APStemPy Lab

Medium

3.

Estimate π by throwing random points at a unit square, with 1000 points and with 100 000 points.

High School (11–12), High School (9–10), Undergraduate, General · Simulation and RandomnessAPStemPy Lab

Medium

4.

A walker takes 10 steps, each one to the left or one to the right with the same chance.

High School (11–12), High School (9–10), Undergraduate, General · Simulation and RandomnessAPStemPy Lab

Medium

5.

A function ticket_price(age) gives 0 for ages under 5, 50 for ages 5 to 12, 100 for ages 13 to 59…

High School (11–12), High School (9–10), Undergraduate, General · Testing and DebuggingAP, A-Level, IBStemPy Lab

Easy

6.

A function longest_word(text) gives the longest word of a text, and when two words are equally…

High School (11–12), High School (9–10), Undergraduate, General · Testing and DebuggingAP, A-Level, IBStemPy Lab

Easy

7.

Fix second_largest so that it gives the second largest different value, and None when there is none.

High School (11–12), High School (9–10), Undergraduate, General · Testing and DebuggingBoard Exam, AP, A-Level, IBStemPy Lab

Medium

8.

This function should give the average of a list, but gives a wrong answer for [2, 4, 6] (it gives…

High School (11–12), High School (9–10), Undergraduate, General · Testing and DebuggingBoard Exam, AP, A-Level, IB, PCEP (Python Institute)StemPy Lab

Easy

9.

Write a function first_above(items, limit) that gives the position of the first item that is more…

High School (9–10), High School (11–12), Undergraduate, General · Searching and SortingBoard Exam, AP, A-Level, IB, PCEP (Python Institute)StemPy Lab

Easy

10.

Bubble sort needs n * (n - 1) // 2 comparisons.

High School (9–10), High School (11–12), Undergraduate, General · Searching and SortingBoard Exam, AP, A-Level, IBStemPy Lab

Medium

11.

The marks, already sorted from the highest, are [95, 90, 90, 90, 80, 75, 75].

High School (9–10), High School (11–12), Undergraduate, General · Searching and SortingBoard Exam, AP, PCEP (Python Institute)StemPy Lab

Medium

12.

Roll two dice 6000 times, with the seed 3.

High School (9–10), High School (11–12), Undergraduate, General · Modules and LibrariesBoard Exam, AP, PCAP (Python Institute)StemPy Lab

Medium

13.

The sorted marks are 64, 78, 78, 85, 92.

High School (9–10), High School (11–12), Undergraduate, General · Essentials Projects, Dictionaries, Errors and Exceptions, Text ProcessingBoard Exam, AP, A-Level, IBStemPy Lab

Hard

14.

A linear search looks for 90 in [72, 85, 64, 90, 58]. How many checks does it need?

High School (9–10), High School (11–12), Undergraduate, General · Searching and SortingBoard Exam, APStemPy Lab

Easy

15.

A binary search looks for 37 in the numbers from 1 to 100 (in order).

High School (9–10), High School (11–12), Undergraduate, General · Searching and SortingBoard Exam, AP, A-Level, IBStemPy Lab

Medium

16.

Which search would you use? (a) A list of 5 names in no particular order.

High School (9–10), High School (11–12), Undergraduate, General · Searching and SortingBoard Exam, AP, A-Level, IBStemPy Lab

Medium