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🇺🇸 High School Equivalency Test (HiSET) · flashcards
High School Equivalency Test (HiSET) Mathematics Flashcards
55 question-and-answer cards covering Mathematics as it is examined in High School Equivalency Test (HiSET). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the quadratic formula?
x = (−b ± sqrt(b^2 − 4ac)) / (2a), used to find the solutions of ax^2 + bx + c = 0.
What does the discriminant b^2 − 4ac tell you about a quadratic's solutions?
If positive, two real solutions; if zero, one real (repeated) solution; if negative, no real solutions.
How does a linear relationship differ from an exponential relationship?
A linear relationship changes by a constant amount (added) each step; an exponential relationship changes by a constant factor (multiplied) each step.
How do you convert between units using a conversion factor?
Multiply by a fraction equal to 1 that has the desired unit on top and the original unit on the bottom, so the unwanted units cancel (dimensional analysis).
How many inches are in a foot, feet in a yard, and how many milliliters in a liter?
12 inches = 1 foot; 3 feet = 1 yard; 1,000 milliliters = 1 liter (and 1,000 grams = 1 kilogram).
What is the formula for the perimeter of a rectangle and the circumference of a circle?
Rectangle perimeter P = 2l + 2w; circle circumference C = 2πr = πd.
What are the area formulas for a rectangle, triangle, and circle?
Rectangle A = l·w; triangle A = (1/2)·b·h; circle A = πr^2.
What is the area formula for a parallelogram and for a trapezoid?
Parallelogram A = b·h; trapezoid A = (1/2)(b1 + b2)·h, the average of the two parallel bases times the height.
What is the formula for the volume of a rectangular prism and of a cylinder?
Rectangular prism V = l·w·h; cylinder V = πr^2·h (base area times height).
What is the formula for the volume of a sphere and of a cone?
Sphere V = (4/3)πr^3; cone V = (1/3)πr^2·h.
What is surface area, and how does it differ from volume?
Surface area is the total area of all outer faces of a 3D object (measured in square units); volume is the space inside it (measured in cubic units).
What is the Pythagorean theorem and when does it apply?
In a right triangle, a^2 + b^2 = c^2, where c is the hypotenuse (the side opposite the right angle) and a, b are the legs. It applies only to right triangles.
What is the sum of the interior angles of any triangle, and how are triangles classified by angles?
The angles always sum to 180°. By angle: acute (all < 90°), right (one = 90°), obtuse (one > 90°).
How are triangles classified by their side lengths?
Equilateral (all three sides equal), isosceles (two sides equal), and scalene (no sides equal).
What are the four basic geometric transformations and how do they affect a figure?
Translation (slide), reflection (flip), and rotation (turn) preserve size and shape (rigid/congruent); dilation (resize) changes size, producing a similar figure.
How do you find the distance between two points and the midpoint of a segment on the coordinate plane?
Distance = sqrt((x2−x1)^2 + (y2−y1)^2); midpoint = ((x1+x2)/2, (y1+y2)/2).
When should you use a bar graph versus a line graph?
Use a bar graph to compare amounts across separate categories; use a line graph to show how a quantity changes continuously over time.
What does a scatter plot show, and what does its correlation indicate?
A scatter plot shows the relationship between two variables as points; an upward trend is positive correlation, a downward trend is negative correlation, and no pattern means no correlation.
How do you find the mean, median, and mode of a data set?
Mean = sum of values ÷ number of values; median = the middle value when ordered (average the two middle values if even count); mode = the most frequently occurring value.
What is the range and the interquartile range (IQR) of a data set?
Range = maximum − minimum; IQR = Q3 − Q1, the spread of the middle 50% of the data.
How is the probability of a single event calculated?
P(event) = (number of favorable outcomes)/(total number of equally likely outcomes), a value between 0 (impossible) and 1 (certain).
How do you find the probability of two independent events both occurring?
Multiply their individual probabilities: P(A and B) = P(A) × P(B).
What is the fundamental counting principle?
If one choice can be made m ways and a second n ways, the number of combined outcomes is m × n (multiply the options for each stage).
What is the difference between a permutation and a combination?
A permutation counts arrangements where order matters; a combination counts selections where order does not matter.
What this deck covers
The Mathematics deck follows the High School Equivalency Test (HiSET) Mathematics syllabus — 4 chapters and 18 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 13.8 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 113 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Mathematics flashcards FAQ
How many Mathematics flashcards are in this High School Equivalency Test (HiSET) deck?
55 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these High School Equivalency Test (HiSET) flashcards free?
Yes. The preview here is free to read with no signup, and the full 55-card deck is free inside the Examius app.
What do the Mathematics cards cover?
They follow the High School Equivalency Test (HiSET) Mathematics syllabus — 4 chapters and 18 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.