# A LEVEL H446 COMPUTER SCIENCE. Code Challenges (1 20) August 2015

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1 A LEVEL H446 COMPUTER SCIENCE Code Challenges (1 20) August 2015

2 We will inform centres about any changes to the specification. We will also publish changes on our website. The latest version of our specification will always be the one on our website ( and this may differ from printed versions. Copyright 2015 OCR. All rights reserved. Copyright OCR retains the copyright on all its publications, including the specifications. However, registered centres for OCR are permitted to copy material from this specification booklet for their own internal use. Oxford Cambridge and RSA Examinations is a Company Limited by Guarantee. Registered in England. Registered company number Registered office: 1 Hills Road Cambridge CB1 2EU OCR is an exempt charity.

3 CONTENTS Factorial Finder Page 4 Speed Tracker Page 4 Thief! Page 4 Classification Page 4 Fruit Machine Page 5 Unit Converter (temperature, currency, volume) Page 5 Credit Card Validator Page 5 Arithmetic test Page 5 Happy Numbers Page 5 Number Names Page 6 Regex Query Tool Page 6 Quiz Maker Page 6 Caesar Cipher Page 6 Events calendar Page 6 Pangrams Page 6 Kaprekar Page 6 Number Table Page 7 Years in a Range Page 7 Logic Gate Page 7 Palindromes Page 7 3

4 1 Factorial Finder The Factorial of a positive integer, n, is defined as the product of the sequence n, n-1, n-2,...1 and the factorial of zero, 0, is defined as being 1. Solve this using both loops and recursion. 2 Speed Tracker Create a program that takes a time for a car going past a speed camera, the time going past the next one and the distance between them to calculate the average speed for the car in mph. The cameras are one mile apart. Extensions: 3 Thief! 1. Speed cameras know the timings of each car going past, through number plate recognition. Valid number plates are two letters, two numbers and three letters afterwards, for example XX Produce a part of the program that checks whether a number plate matches the given pattern. Tell the user either way. 2. Create a program for creating a file of details for vehicles exceeding the speed limit set for a section of road. You will need to create a suitable file with test data, including randomised number plates and times. You will then use the code you ve already written to process this list to determine who is breaking the speed limit (70mph) and who has invalid number plates. A thief has managed to find out the four digits for an online PIN code, but doesn t know the correct sequence needed to hack into the account. Design and write a program that displays all the possible combinations for any four numerical digits entered by the user. The program should avoid displaying the same combination more than once. Submit a fully detailed Showcase for your program. 4 Classification A simple classification system asks a series of Yes/No questions in order to work out what type of animal is being looked at. Eg Does it have 4 legs? Does it eat meat? Does it have stripes? These systems can often be drawn using a tree structure. Carry out some simple research on classification trees, then write a program to help the user decide between the following: horse, cow, sheep, pig, dog, cat, lion, tiger, whale, dolphin, seal, penguin, ostrich, sparrow, spider, ant, bee, wasp, termite, octopus, squid Is there a better way to do this than using 101 IF...ELSE...END IFs? Develop your classification system for your own area of interest: pop bands; pokemon; cars; footballers; teachers; diseases etc. 4

5 5 Fruit Machine Write a program to simulate a Fruit Machine that displays three symbols at random from Cherry, Bell, Lemon, Orange, Star, Skull. The player starts with 1 credit, with each go costing 20p. If the Fruit Machine rolls two of the same symbol, the user wins 50p. The player wins 1 for three of the same and 5 for 3 Bells. The player loses 1 if two skulls are rolled and all of his/her money if three skulls are rolled. The player can choose to quit with the winnings after each roll or keep playing until there is no money left. 6 Unit Converter (temp, currency, volume) Converts various units between one another. The user enters the type of unit being entered, the type of unit they want to convert to and then the value. The program will then make the conversion. 7 Credit Card Validator Takes in a credit card number from a common credit card vendor (Visa, MasterCard, American Express, Discoverer) and validates it to make sure that it is a valid number (look into how credit cards use a checksum). 8 Arithmetic test A primary school teacher wants a computer program to test the basic arithmetic skills of her students. Generate random questions (2 numbers only) consisting of addition, subtraction, multiplication and division. The system should ask the student s name and then ask ten questions. The program should feed back if the answers are correct or not, and then generate a final score at the end. Extensions: 1. Extend your program so that it stores the results somewhere. The teacher has three classes, so you need to enable the program to distinguish between them. 2. The teacher wants to be able to log student performance in these tests. The teacher would like the program to store the last three scores for each student and to be able to output the results in alphabetical order with the student s highest score first out of the three. 9 Happy Numbers A happy number is defined by the following process: Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers, while those that do not end in 1 are unhappy numbers. Display an example of your output here. Find the first eight happy numbers. 5

6 10 Number Names Show how to spell out a number in English. You can use a pre-existing implementation or make your own, but you should support inputs up to at least one million (or the maximum value of your language s default bounded integer type, if that s less). Extensions: 1. Create support for inputs other than positive integers (like zero, negative integers, and floating-point numbers). 11 Regex Query Tool This is a tool that allows the user to enter a text string and then in a separate text box enter a regex pattern. It will run the regular expression against the string and return any matches or flag errors in the regular expression. 12 Quiz Maker Make an application which takes various questions from a file, picked randomly, and puts together a quiz for students. Each quiz can be different and then reads a key to grade the quizzes. 13 Caesar Cipher Implement a Caesar cipher, both encoding and decoding. The key is an integer from 1 to 25. This cipher rotates the letters of the alphabet (A to Z). The encoding replaces each letter with the 1st to 25th next letter in the alphabet (wrapping Z to A). So key 2 encrypts HI to JK, but key 20 encrypts HI to BC. 14 Events calendar Create a menu driven program that allows the user to add or delete events from a list of dates and timings, just like a calendar. The program should warn you if any of the events overlap when entering them. Extensions: 1. Make it so that none of the events are hard-coded into the program 15 Pangrams The quick brown fox jumps over the lazy dog ; note how all 26 English-language letters are used in the sentence. Your goal is to implement a program that takes a series of strings (one per line) and prints either True (the given string is a pangram), or False if it is not. 16 Kaprekar Determine whether a number is a Kaprekar number or not. See for more information. 6

7 17 Number Table Write a program that takes a symbol (+,-,* or /) and a natural number (>0) and makes a table like below for the operation from 0 to n For this example the user has entered + 4 : Years in a Range Write a program to count the number years in a range that has a repeated digit. For example, 2012 has a repeated digit, but 2013 does not. 19 Logic Gate Write a program that will give the students the answer to logic gate questions For example: Enter logic gate : OR Enter first input : 1 Enter second input : 0 Result = 1 It should work for the logic gates OR, AND, XOR, NAND and NOR 20 Palindromes Write a program that checks if a string entered by the user is a palindrome. A palindrome is a word that reads the same forwards as backwards like racecar 7

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