    # When a wall clock shows 6 oclock the minute hand points in the north-east direction in what direction would the hour hand point to?  What is the angle formed by the minute hand and the hour hand at 4:45? Possible Answers:     Correct answer: Explanation: The angle measure between any two consecutive numbers on a clock is . Call the "12" point on the clock the zero-degree point. At 4:45, the minute hand is at the "9" - that is, at the mark. The hour hand is three-fourths of the way from the "4" to the "5; that is, Therefore, the angle between the hands is , the desired measure. What is the angle between the hour hand and the minute hand at 4:40? Possible Answers:     Correct answer: Explanation: At 4:40, the minute hand is on the 8, and the hour hand is two-thirds of the way from the 4 to the 5. That is, the hands are three and one-third number positions apart. Each number position is thirty degrees around the clock, so the hands form an angle of . It is 4 o’clock.  What is the measure of the angle formed between the hour hand and the minute hand? Possible Answers:     Correct answer: Explanation: At four o’clock the minute hand is on the 12 and the hour hand is on the 4.  The angle formed is 4/12 of the total number of degrees in a circle, 360. 4/12 * 360 = 120 degrees The hour hand on a clockface points to the , and the minute hand points to the .  How many degrees is the angle between the minute and hour hands? Possible Answers:     Correct answer: Explanation: There are degrees in one complete revolution of a circle. There are minutes in one hour. Create a fraction out of these two quantities to use later as a conversion rate: Between the and there are minutes, so multiply this by the conversion rate to solve for the number of degrees: What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the 10 and the minute hand is on the 2? Possible Answers: Explanation: A analog clock is divided up into 12 sectors, based on the numbers 1–12. One sector represents 30 degrees (360/12 = 30). If the hour hand is directly on the 10, and the minute hand is on the 2, that means there are 4 sectors of 30 degrees between then, thus they are 120 degrees apart (30 * 4 = 120). Thomas is trying to determine the angle between the hands of his clock. Right now it reads pm, what angle do the clock hands make? Possible Answers:     Correct answer: Explanation: You can think of a clock in two ways: 1. Out of 12 hours, or 2. In terms of a circle with If you try to solve it in terms of #1: Goal: Find the angle measurement between the hour and the minute hands. We only want to find the degrees between the hours of 9 and 12 So we are looking at 3 hours out of the 12 total hours on a clock. As a fraction: So that means that the clock hands are making an angle that is 1/4 of the clock (which is a circle). So knowing that a circle has in it, 1/4 of a circle is . ____________________________________________________________ 2. If you think of the clock as a circle first you can determine the angle that the clock hands create very quickly. Since there are in a circle, every hour that passes is a movement of . So knowing that, the clock will be moving 3 hours: What is the measure of the larger angle formed by the hands of a clock at ? Possible Answers:     Correct answer: Explanation: Like any circle, a clock contains a total of . Because the clock face is divided into equal parts, we can find the number of degrees between each number by doing . At 5:00 the hour hand will be at 5 and the minute hand will be at 12. Using what we just figured out, we can see that there is an angle of between the two hands. We are looking for the larger angle, however, so we must now do .  What is the measure, in degrees, of the acute angle formed by the hands of a 12-hour clock that reads exactly 3:10? Possible Answers: Explanation: The entire clock measures 360°. As the clock is divided into 12 sections, the distance between each number is equivalent to 30° (360/12). The distance between the 2 and the 3 on the clock is 30°.  One has to account, however, for the 10 minutes that have passed. 10 minutes is 1/6 of an hour so the hour hand has also moved 1/6 of the distance between the 3 and the 4, which adds 5° (1/6 of 30°). The total measure of the angle, therefore, is 35°. Find the angle in degrees between clock hands at 3:30. Possible Answers:    Correct answer: Explanation: On first glance, this problem may seem simple in that the angle between the 3 and 6 on a clock is one quarter of a circle or 90 degrees. However, you must take into account that in the half hour that has passed from 3:00 to 3:30, the hour hand has moved half the distance between the 3 and 4. To find the degrees, simply divide the total number of degrees in a circle by 12 to find the degrees between each consecutive number, and then multiply that number by 2.5 because you have half the distance to the 4, and the the full distance to the 5 and the full distance to the 6. Thus,  A clock shows that the time is 9:00am. What is the angle between the minute and the hour hands?  Possible Answers:     Correct answer: Explanation: By dividing the clock into pieces, we can determine that the angle between the two hands is . Within a clock, just like any circle, there are 360 total degrees.  Within an clock, there are 60 total minutes. Each minute that passes, the minute hand advances 6 degrees. The hour hand advances .5 degrees. But since it is 9am on the dot, we will just be using the minute hand to count the degrees.  Since the minute hand is covering a total of 15 minutes in between it and the hour hand, we can do the math: =  Derek Certified Tutor Carleton University, Bachelor in Arts, Environmental Studies. Dr. Virginia Certified Tutor Moravian College and Moravian Theological Seminary, Bachelor of Science, Biology, General. American College of Education, Doc... Somaiyah Certified Tutor York University, Bachelor of Science, Computer Science. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors. Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org. Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. Please follow these steps to file a notice: You must include the following: A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf. Send your complaint to our designated agent at: Charles Cohn Varsity Tutors LLC 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105 Or fill out the form below:  