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ASI Police Test Mathematics and Intelligence Flashcards
50 question-and-answer cards covering Mathematics and Intelligence as it is examined in ASI Police Test. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics and Intelligence deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is a linear equation in one variable?
An equation of the form ax + b = 0 (a not 0), where the highest power of the variable is 1; it has exactly one solution: x = -b/a.
How do you solve the linear equation 2x + 5 = 15?
Subtract 5 from both sides: 2x = 10, then divide by 2: x = 5.
What methods can be used to solve a pair of simultaneous linear equations?
Substitution, elimination, and cross-multiplication (and graphically as the point of intersection of two lines).
What is the standard form of a linear equation in two variables?
ax + by + c = 0, where a and b are not both zero; its graph is a straight line.
What is the identity for (a + b) squared?
(a + b)^2 = a^2 + 2ab + b^2.
What is the identity for (a - b) squared?
(a - b)^2 = a^2 - 2ab + b^2.
What is the identity for a squared minus b squared?
a^2 - b^2 = (a + b)(a - b).
In algebra, what is the difference between a monomial, binomial, and trinomial?
A monomial has one term (e.g. 3x); a binomial has two terms (e.g. x + 2); a trinomial has three terms (e.g. x^2 + 3x + 2).
What is the difference between a coefficient and a constant in an algebraic expression?
A coefficient is the numerical factor multiplying a variable (the 5 in 5x); a constant is a fixed number with no variable (the 7 in 5x + 7).
What is the formula for the area and perimeter of a rectangle?
Area = length x breadth; Perimeter = 2 x (length + breadth).
What is the formula for the area and perimeter of a square?
Area = side^2; Perimeter = 4 x side.
What are the formulas for the area and circumference of a circle?
Area = pi x r^2; Circumference = 2 x pi x r, where r is the radius and pi is approximately 22/7 or 3.14.
What is the formula for the area of a triangle given base and height?
Area = (1/2) x base x height.
What is the area of a triangle by Heron's formula?
Area = sqrt(s(s-a)(s-b)(s-c)), where a, b, c are the sides and s = (a+b+c)/2 is the semi-perimeter.
What is the sum of the interior angles of a triangle?
The sum of the interior angles of any triangle is 180 degrees.
How are angles classified as acute, right, obtuse, and reflex?
Acute is less than 90 degrees; right is exactly 90 degrees; obtuse is between 90 and 180 degrees; reflex is between 180 and 360 degrees.
What is the difference between complementary and supplementary angles?
Complementary angles add up to 90 degrees; supplementary angles add up to 180 degrees.
What does the Pythagorean theorem state for a right-angled triangle?
The square of the hypotenuse equals the sum of the squares of the other two sides: hypotenuse^2 = base^2 + perpendicular^2.
What is the basic formula relating speed, distance, and time?
Speed = Distance / Time. Therefore Distance = Speed x Time and Time = Distance / Speed.
How do you convert a speed from km/h to m/s?
Multiply by 5/18. For example, 36 km/h = 36 x 5/18 = 10 m/s.
What is the formula for relative speed of two objects moving in the same and opposite directions?
Same direction: relative speed = difference of speeds; Opposite directions: relative speed = sum of speeds.
How do you find the combined time for two people to finish a job working together?
If one does it in x days and the other in y days, together they take (x x y) / (x + y) days; their combined one-day work is 1/x + 1/y.
In data interpretation, what does each component of a pie chart represent and how do you find the angle for a category?
Each sector represents a category's share of the whole; angle of a category = (category value / total) x 360 degrees.
In an analogy or classification reasoning question, what is the task in each type?
In an analogy, find a pair related the same way as a given pair (A:B :: C:?); in classification (odd-one-out), identify the item that does not share the common property of the group.
What this deck covers
The Mathematics and Intelligence deck follows the ASI Police Test Mathematics and Intelligence syllabus — 5 chapters and 18 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 10.0 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 90 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 and Intelligence flashcards FAQ
How many Mathematics and Intelligence flashcards are in this ASI Police Test deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these ASI Police Test flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Mathematics and Intelligence cards cover?
They follow the ASI Police Test Mathematics and Intelligence syllabus — 5 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.