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🇺🇸 ISEE (Independent School Entrance Examination) · flashcards
ISEE (Independent School Entrance Examination) Mathematics Achievement Flashcards
50 question-and-answer cards covering Mathematics Achievement as it is examined in ISEE (Independent School Entrance Examination). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Mathematics Achievement deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the key rule when solving an inequality that differs from solving an equation?
When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.
How do you solve a two-step equation such as 3x − 4 = 11?
Undo addition/subtraction first, then multiplication/division. Add 4 to both sides (3x = 15), then divide by 3 to get x = 5.
What is the slope-intercept form of a linear equation, and what do its parts represent?
y = mx + b, where m is the slope (rate of change) and b is the y-intercept (the y-value where the line crosses the y-axis).
How is the slope of a line calculated from two points (x₁, y₁) and (x₂, y₂)?
Slope m = (y₂ − y₁) / (x₂ − x₁), the change in y divided by the change in x (rise over run).
How do you multiply two binomials such as (x + 2)(x + 3) using FOIL?
Multiply First, Outer, Inner, Last terms and combine: x² + 3x + 2x + 6 = x² + 5x + 6.
How do you factor a quadratic of the form x² + bx + c?
Find two numbers that multiply to c and add to b; write them as (x + p)(x + q). For x² + 5x + 6, the numbers are 2 and 3, giving (x + 2)(x + 3).
What is the sum of the interior angles of any triangle, and of any quadrilateral?
The interior angles of a triangle sum to 180°, and the interior angles of a quadrilateral sum to 360°.
What are complementary angles and supplementary angles?
Complementary angles add up to 90°; supplementary angles add up to 180°.
How are acute, right, and obtuse angles defined?
An acute angle is less than 90°, a right angle is exactly 90°, and an obtuse angle is greater than 90° but less than 180°.
What is the difference between an equilateral, isosceles, and scalene triangle?
Equilateral has all three sides (and angles) equal; isosceles has exactly two equal sides; scalene has no equal sides.
What is the formula for the area of a triangle?
Area = ½ × base × height, where the height is perpendicular to the chosen base.
What are the formulas for the area and perimeter of a rectangle?
Area = length × width; Perimeter = 2 × (length + width).
What are the formulas for the circumference and area of a circle?
Circumference = 2πr (or πd); Area = πr², where r is the radius and d is the diameter.
What is the formula for the volume of a rectangular prism (box)?
Volume = length × width × height.
On the coordinate plane, what does the ordered pair (x, y) tell you?
x is the horizontal position (right if positive, left if negative) and y is the vertical position (up if positive, down if negative), measured from the origin (0, 0).
How are the four quadrants of the coordinate plane numbered, and what are the sign patterns?
Quadrant I (+,+) top right, II (−,+) top left, III (−,−) bottom left, IV (+,−) bottom right, numbered counterclockwise.
What is the Pythagorean Theorem and when does it apply?
For a right triangle, a² + b² = c², where a and b are the legs and c is the hypotenuse (the side opposite the right angle).
In the U.S. customary system, how many inches are in a foot, feet in a yard, and feet in a mile?
12 inches = 1 foot; 3 feet = 1 yard; 5,280 feet = 1 mile.
What are the basic metric prefixes for kilo-, centi-, and milli-?
Kilo- means 1,000; centi- means 1/100 (0.01); milli- means 1/1,000 (0.001). So 1 km = 1,000 m, 1 cm = 0.01 m, 1 mm = 0.001 m.
How many ounces are in a pound, and how many pounds are in a ton (U.S. customary weight)?
16 ounces = 1 pound; 2,000 pounds = 1 ton.
What is the formula relating distance, rate, and time?
Distance = rate × time (d = r × t). Equivalently, rate = distance ÷ time and time = distance ÷ rate.
What is the difference between the mean, median, and mode of a data set?
Mean is the average (sum ÷ count); median is the middle value when data is ordered; mode is the value that occurs most often.
How do you find the range of a data set, and how is the probability of a single event calculated?
Range = largest value − smallest value. Probability of an event = number of favorable outcomes ÷ total number of equally likely outcomes.
How do you find the probability of two independent events both occurring, and how does the counting (multiplication) principle work?
Multiply the probabilities of the individual events: P(A and B) = P(A) × P(B). Likewise, if one choice has m options and another has n options, there are m × n total combined outcomes.
What this deck covers
The Mathematics Achievement deck follows the ISEE (Independent School Entrance Examination) Mathematics Achievement syllabus — 5 chapters and 21 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 106 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 Achievement flashcards FAQ
How many Mathematics Achievement flashcards are in this ISEE (Independent School Entrance Examination) 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 ISEE (Independent School Entrance Examination) 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 Achievement cards cover?
They follow the ISEE (Independent School Entrance Examination) Mathematics Achievement syllabus — 5 chapters and 21 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.