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Lady Cadet Course Academic Test - Mathematics Flashcards
51 question-and-answer cards covering Academic Test - Mathematics as it is examined in Lady Cadet Course. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Academic Test - Mathematics deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
How do you find SP given CP and profit percent?
SP = CP x (100 + profit percent) / 100.
How do you find CP given SP and profit percent?
CP = SP x 100 / (100 + profit percent).
What is the difference between marked price, discount, and selling price?
Marked Price (MP) is the listed price. Discount is a reduction on MP. SP = MP - Discount, where Discount = (discount percent/100) x MP.
State the formula for Simple Interest.
SI = (P x R x T) / 100, where P is principal, R is rate percent per annum, and T is time in years.
State the formula for the Amount in Simple Interest.
Amount = Principal + Simple Interest = P + (P x R x T)/100 = P(1 + RT/100).
State the formula for Compound Interest amount (compounded annually).
Amount A = P(1 + R/100) to the power n, where n is the number of years. CI = A - P.
How is compound interest amount adjusted when compounded half-yearly?
Use rate R/2 and time 2n: A = P(1 + (R/2)/100) to the power 2n.
Why is compound interest greater than simple interest for the same P, R, and T (T > 1)?
Because in CI interest is calculated on the accumulated amount (interest on interest), whereas SI is only on the original principal.
State the basic formula relating speed, distance, and time.
Speed = Distance / Time. Therefore Distance = Speed x Time and Time = Distance / Speed.
How do you convert km/hr to m/s?
Multiply by 5/18. For example, 36 km/hr = 36 x 5/18 = 10 m/s.
What is relative speed for two objects moving in opposite directions and in the same direction?
Opposite directions: add the speeds (s1 + s2). Same direction: subtract the speeds (s1 - s2).
What is the average speed for equal distances at speeds a and b?
Average speed = 2ab / (a + b), the harmonic mean of the two speeds.
If A can do a work in n days, what is A's one-day work?
A's one-day work is 1/n of the total work.
If A does a work in x days and B in y days, how long do they take together?
Together they take xy / (x + y) days, since combined one-day work = 1/x + 1/y.
State the formula relating men, days, and work (work equivalence).
M1 x D1 / W1 = M2 x D2 / W2. With equal work: M1 x D1 = M2 x D2.
What is a term in an algebraic expression, and what are like terms?
A term is a part separated by + or - signs. Like terms have the same variables raised to the same powers, e.g. 3xy and 5xy.
What is the degree of a polynomial?
The highest power of the variable in the polynomial. For example, 4x cubed + 2x has degree 3.
Expand (a + b) squared and (a - b) squared.
(a + b) squared = a squared + 2ab + b squared. (a - b) squared = a squared - 2ab + b squared.
State the identity for (a + b)(a - b).
(a + b)(a - b) = a squared - b squared (difference of two squares).
What is a linear equation in one variable and how many solutions does it have?
An equation of the form ax + b = 0 (a not 0), with the variable to the first power. It has exactly one solution.
What is the standard form of a quadratic equation?
ax squared + bx + c = 0, where a, b, c are constants and a is not 0.
State the quadratic formula.
x = [-b plus or minus sqrt(b squared - 4ac)] / (2a) for ax squared + bx + c = 0.
What does the discriminant tell you, and what is its formula?
Discriminant D = b squared - 4ac. If D > 0 roots are real and distinct; if D = 0 roots are real and equal; if D < 0 roots are imaginary (no real roots).
How do you factorize a quadratic of the form x squared + bx + c?
Find two numbers whose product is c and whose sum is b, then write x squared + bx + c = (x + p)(x + q). For example, x squared + 5x + 6 = (x + 2)(x + 3).
What this deck covers
The Academic Test - Mathematics deck follows the Lady Cadet Course Academic Test - Mathematics syllabus — 4 chapters and 22 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.8 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 87 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.
Academic Test - Mathematics flashcards FAQ
How many Academic Test - Mathematics flashcards are in this Lady Cadet Course deck?
51 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these Lady Cadet Course flashcards free?
Yes. The preview here is free to read with no signup, and the full 51-card deck is free inside the Examius app.
What do the Academic Test - Mathematics cards cover?
They follow the Lady Cadet Course Academic Test - Mathematics syllabus — 4 chapters and 22 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.