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PAF GD Pilot Mathematics Flashcards
56 question-and-answer cards covering Mathematics as it is examined in PAF GD Pilot. 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.
State the formula for Simple Interest.
SI = (P × R × T)/100, where P = principal, R = rate per annum (%), T = time in years. Amount A = P + SI.
State the formula for Compound Interest (amount and CI).
Amount A = P(1 + R/100)^T. Compound Interest CI = A − P = P[(1 + R/100)^T − 1].
What is the key difference between simple and compound interest?
Simple interest is calculated only on the original principal each period. Compound interest is calculated on the principal plus accumulated interest, so it grows faster.
How is compound interest calculated when compounded half-yearly?
Halve the rate and double the time: A = P(1 + (R/2)/100)^(2T), since interest is added twice per year.
Define marked price (list price) and discount.
Marked price (MP) is the price printed/listed on an item before reduction. Discount is the reduction given on the marked price: Discount = MP − SP.
State the formula for discount percent and selling price after discount.
Discount% = (Discount ÷ MP) × 100. SP = MP × (100 − Discount%)/100 = MP − Discount.
What is markup, and how does it relate to cost price?
Markup is the amount added to the cost price to set the marked/selling price. Markup% = (Markup ÷ CP) × 100, where Markup = MP − CP.
Define a variable, a constant, and a coefficient in algebra.
A variable is a symbol for an unknown (e.g. x). A constant is a fixed value (e.g. 5). A coefficient is the number multiplying a variable (in 7x, 7 is the coefficient).
What is the difference between a monomial, binomial, and trinomial?
A monomial has one term (3x), a binomial has two terms (x + 2), and a trinomial has three terms (x² + 3x + 2). They are classified by the number of terms.
What are like terms? Give an example.
Terms having the same variables raised to the same powers; only their coefficients may differ. Example: 3x² and 5x² are like terms and can be added to 8x².
How do you factorize by taking out the highest common factor? Example: 6x² + 9x.
Find the HCF of the terms and write it outside a bracket. 6x² + 9x → HCF is 3x → 3x(2x + 3).
Factorize a difference of two squares: a² − b².
a² − b² = (a + b)(a − b). Example: x² − 16 = (x + 4)(x − 4).
How do you factorize a trinomial of the form x² + bx + c?
Find two numbers whose product is c and whose sum is b, then split the middle term. Example: x² + 5x + 6 = (x + 2)(x + 3), since 2×3=6 and 2+3=5.
What is a linear equation in one variable, and how many solutions does it have?
An equation of the form ax + b = 0 (a ≠ 0) where the highest power of the variable is 1. It has exactly one solution: x = −b/a.
Solve the linear equation 2x + 5 = 17 and state the method.
x = 6. Method: subtract 5 from both sides (2x = 12), then divide both sides by 2 (x = 6) — keep the equation balanced by doing the same to both sides.
What is the general form of a quadratic equation, and what makes it quadratic?
ax² + bx + c = 0, where a ≠ 0. It is quadratic because the highest power of the variable is 2, giving up to two solutions (roots).
State the quadratic formula.
For ax² + bx + c = 0, x = [−b ± √(b² − 4ac)] / (2a). The expression b² − 4ac is the discriminant.
What does the discriminant (b² − 4ac) tell you about the roots?
If b² − 4ac > 0: two distinct real roots. If = 0: one real (repeated) root. If < 0: no real roots (roots are imaginary/complex).
State the algebraic identity for (a + b)² and (a − b)².
(a + b)² = a² + 2ab + b². (a − b)² = a² − 2ab + b².
State the identity for (a + b)(a − b) and for (a + b)³.
(a + b)(a − b) = a² − b². (a + b)³ = a³ + 3a²b + 3ab² + b³.
What is the difference between complementary and supplementary angles?
Complementary angles add up to 90°. Supplementary angles add up to 180°.
Define acute, right, obtuse, straight, and reflex angles by their measures.
Acute: less than 90°. Right: exactly 90°. Obtuse: between 90° and 180°. Straight: exactly 180°. Reflex: between 180° and 360°.
What are vertically opposite angles, and what is their key property?
The pair of opposite angles formed when two lines intersect. Vertically opposite angles are always equal.
When a transversal cuts two parallel lines, what is true of alternate angles and co-interior angles?
Alternate angles (interior or exterior) are equal. Co-interior (allied) angles are supplementary, adding to 180°.
What this deck covers
The Mathematics deck follows the PAF GD Pilot Mathematics syllabus — 8 chapters and 26 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 7.0 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 114 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 PAF GD Pilot deck?
56 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these PAF GD Pilot flashcards free?
Yes. The preview here is free to read with no signup, and the full 56-card deck is free inside the Examius app.
What do the Mathematics cards cover?
They follow the PAF GD Pilot Mathematics syllabus — 8 chapters and 26 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.