Practice Test

1. Isabella owns 2 clocks - Clock-Right, which shows the correct time, and Clock-Fast, which is faulty. In the same time that the normal clock counts an hour, the fast clock counts an hour and 2 minutes. It therefore keeps gaining 2 minutes for every hour of the normal clock. If Isabella set them to the same time exactly at 12 o’clock midnight on a certain day after how many hours (of actual time) will the clocks show the same time again?

2. Sometimes, programmers write something called algorithms - a set of instructions for solving a problem or performing a computation - before they write the actual code. Here’s an example of an algorithm that takes 3 numbers as inputs from the user: If the user entered the numbers - 16, 20, & 19 - what is the code supposed to print?

3. Mr. Towers owns a construction company. He is particularly interested in building skyscrapers next to artificial lakes, but it takes a long time to fill up an artificial lake. He has 25 workers filling a certain lake that must be full in 15 days, but he realizes by the end of the 5th day when the lake is only 20% filled, that he will need more workers. How many more workers does he need to finish the work exactly on time?

4. A library keeps track of its books using three databases: 1. Book titles and their authors. 2. Availability status of each book. 3. Borrowing history (i.e. the borrowing dates and names of borrowers). Which of the following questions will require all three databases to be accessed?

5. 3 boxes are shown below. One of them has only apples. One of them has only oranges. One of them has both apples and oranges. ALL 3 boxes are labelled. Grace picks up a fruit from Box III and it turns out to be an orange. Which of these should be the correct labelling of the boxes (from left to right)?