Secondary School Math Problems Plus Solutions

[caption id="attachment_5613" align="alignright" width="480"] Fractal[/caption] For some, it's actually fun when they come across secondary school math problems plus solutions. It's because they are no longer accountable, since they graduated years ago. Math Problems Plus Solutions Problem 1: Find the slope intercept form of the line passing through the point (– 1, 5) and parallel to the line – 6x – 7y = – 3. The line given is rewritten (in slope-intercept form, y = mx + b) as y = – 6/7 x + 3/7 Thus the slope m = – 6/7 Now two lines are parallel if they have the same slope. So, y = – 6/7 x + b is the formula for the new line, with the intercept not yet solved. We do so by inserting…

Eight Middle and High School Math Problems with Solutions

Not only current students. but old-timers as well will find these middle and high school math problems informative. Middle and High School Math Problem 1: Leaves from a tree were reported by four different European students to be 2.9 cm, 3.33 cm, 3.9 cm, and 3.12 cm in length. List the numbers in order of decreasing length. For the beginner, the easiest way to evaluate which of these number is smaller and which is larger, is to make the number of digits to the right of the decimal the same. Now the maximum number of such digits here is two. Adding zeros to the right of the last digit does not change a number’s value. When that is done, the numbers become: 2.90, 3.33, 3.90 and 3.12 In decreasing order,…

Sample High School Math Problems with Answers

[caption id="attachment_5578" align="alignright" width="440"] Fractal - CCA Share Alike 3.0 Unported by Wolfgang Beyer[/caption] Want some sample high school math problems with answers? Well then here you go! High School Math Problems Problem 1:     A change purse has 100 nickels and dimes. The total value of the coins is \$7. How many coins of each type does the purse contain? If the number of nickels is N and the number of dimes is D, then 5N + 10D = 700 (the 5, 10 and 700 representing the number of cents) However, N + D = 100 (the number of nickels plus the number of dimes equals 100) So, solving for N for both equations, we get as the result N = – 2D + 140 and N = 100 – D…

Math Equations for Parallel and Perpendicular Lines

It's fun and very instructive to figure out the math equations for parallel and perpendicular lines. The basic mathematical equation for a line is, ax + by = c Here are three examples of line equations: 2x + 3y = 6 4x – 2y = –5 –x/3 + 2.47y = √3 Slope-Intercept Form One of the most useful formats for the equation of a line is the slope-intercept form. That form is written, y = mx + b The variables here are x and y. The letters m and b are constants that represent the rise or tilt of the line (slope, m) and the point at which the line crosses the y-axis (intercept, b). So the first of the three equations for a line listed above is written in…

Determining the Equation for a Line from Two Points

Lines can be drawn in three dimensions, but most analytical geometry courses stick to lines in two dimensions, generally using the Cartesian or XY coordinate system. The generic equation for a line may follow the form: y = mx + b where m is the slope (measure of tilt or steep-ness) of the line, while b is its intercept or intersection with the y-axis. Equation for a Line from Two Points A line can be determined and an equation derived from two points. In the Cartesian system, for instance, take two points, (2 , 3) and (– 1 , 5). The first number in each pair represents the x-value of a point and the second number in each pair represents the y-value. Writing these points into the general equation y…

The Bee, Fibonacci, and Genealogy

The Bee, Fibonacci and Genealogy -By Ellen Hetland Fenwick. Bees are strange creatures. There are three “sexes” of bees... Drone: Male born of a Queen. No male parent. Not sterile. Queen: Female born of a Queen & a Drone. Fed Royal Jelly. Not Sterile. Worker: Female born of a Queen & a Drone. Not fed Royal Jelly. Sterile. This makes for a most unusual genealogy. Let’s examine the first six generations. Gen 0: Our Male: Drone Gen 1: His parent: Queen Gen 2: Her Parents: Queen, Drone Gen 3: Their parents: Queen, Drone, Queen Gen 4: Their parents: Queen, Drone, Queen, Queen, Drone Gen 5: Their Parents: Queen, Drone, Queen, Queen, Drone, Queen, Drone, Queen The total number of individuals in our male bee’s line for each generation is shown below: But…

Questioning Examination Questions

[caption id="attachment_5170" align="alignright" width="480"] Professor lecturing at a blackboard[/caption] You are to undergo testing. You look at your test paper and see many examination questions... Many useful equations are arrived at by solving differential equations—for instance, the equation for the acceleration experienced by a falling object. This kind of activity involves some mathematical expertise and lots of care. When I was working in industry, my partner told me that he suspected that there was an error in arriving at the navigation equations from its differential equations. He asked me to monitor his work as he solved the equations anew. Mathematicians Do It Too I know that when a mathematician (yes, even a good one) does math, he makes mistakes. I truly believe that he tends to get the easy stuff…