most difficult question in maths

D, 12. The 5 Strategies You Must Be Using to Improve 160+ SAT Points, How to Get a Perfect 1600, by a Perfect Scorer, Free Complete Official SAT Practice Tests. The graph of $y = k$ is a horizontal line that contains the point $(0, k)$ and intersects the graph of the cubic equation three times (since it has three real solutions). If you're not based in the UK, GCSEs are the exams taken by students aged 15-16. Given the graph, the only horizontal line that would intersect the cubic equation three times is the line with the equation $y = −3$, or $f(x) = −3$. The equation above shows how temperature $F$, measured in degrees Fahrenheit, relates to a temperature $C$, measured in degrees Celsius. The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled. If youâve got your heart set on that perfect score (or youâre just really curious to see what the most difficult questions will be), then this is the guide for you. #17: The simplest way to solve this problem (and the key way to avoid making mistakes with the algebra) is to simply plug in your own numbers for $a$, $r$ and $y$. #10 - Hard Maths Riddle Difficulty Popularity Find a 8 digit number that if multiplied by the number 9 or any of its multiplications products (18, 27, 36, 45,..) will result in â¦ The ACT arranges its questions in order of ascending difficulty. If $k$ is a constant such that the equation $f(x)=k$ has three real solutions, which of the following could be the value of $k$? At a glance, we can see that answer choices H and J would be positive and answer choice K is 0. And luckily, thatâs exactly what weâre here for. Quizmaster Tal â¦ Want to improve your ACT score by 4+ points? Secret to success: Take your time, analyze what is being asked of you, and draw a diagram if it's helpful to you. ANSWER EXPLANATION: Since the average (arithmetic mean) of two numbers is equal to the sum of the two numbers divided by 2, the equations $x={m+9}/{2}$, $y={2m+15}/{2}$, $z={3m+18}/{2}$are true. The world's 23 toughest math questions DARPA's math challenges. In a Quora thread of the most difficult SAT math problems, one question â¦ Because we are working with squares, negatives are not a factorâwe are looking for whichever point has the largest combination of coordinate point, since a negative square will be a positive. These are all real ACT math questions, so understanding and studying them is one of the best ways to improve your current ACT score and knock it out of the park on test day. If you're ready to really sink your teeth into the SAT math section and have your sights set on that perfect score, then this is the guide for you. It can be difficult to figure out exactly what some questions are asking, much less figure out how to solve them. Check out our best-in-class online ACT prep classes. It's not as hard as it seems. We'll also give you a step-by-step, custom program to follow so you'll never be confused about what to study next. Since there are 60 minutes in one hour, the rate is ${84 \shoppers \per \hour}/{60 \minutes} = 1.4$ shoppers per minute. [tex]a_1=5[/tex], [tex]a_2=8[/tex] and so on. If, however, you are already scoring a 25 or above and want to test your mettle for the real ACT, then definitely proceed to the rest of this guide. Next, take a look at our individual math guides to help you strengthen any of those weak areas. The function $f(x)=x^3-x^2-x-{11/4}$ is graphed in the $xy$-plane above. When you multiply each side by $ax-2$, you should have: $$24x^2 + 25x - 47 = (-8x-3)(ax-2) - 53$$. Ask questions; get answers. If you don't know your way around functions, this would be a tricky problem. Since each graph has a height larger than 0, we can eliminate answer choices C, D, and E. Because $y_1$ is taller than $y_2$, it means that $y_1$ will have the larger amplitude.