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🇵🇰 Police Constable Test · flashcards
Police Constable Test Mathematics Flashcards
50 question-and-answer cards covering Mathematics as it is examined in Police Constable 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 deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
How do you convert a fraction to a percentage?
Multiply the fraction by 100. For example, 3/4 = (3/4) x 100 = 75%.
What is the formula for percentage increase?
Percentage increase = (Increase / Original value) x 100.
If a value increases by x% then decreases by x%, what is the net change?
There is a net decrease of (x^2/100)%. For example, +20% then -20% gives a net 4% decrease.
What is the formula for Profit and for Loss?
Profit = Selling Price (SP) - Cost Price (CP), when SP > CP. Loss = CP - SP, when CP > SP.
What is the formula for Profit percent and Loss percent?
Profit% = (Profit / CP) x 100; Loss% = (Loss / CP) x 100. Both are always calculated on the Cost Price.
How do you find SP from CP and profit percent?
SP = CP x (100 + Profit%) / 100. For a loss, SP = CP x (100 - Loss%) / 100.
How do you find CP from SP and profit percent?
CP = SP x 100 / (100 + Profit%). For a loss, CP = SP x 100 / (100 - Loss%).
What is a ratio?
A ratio is a comparison of two quantities of the same kind by division, written a : b, indicating how many times one is of the other.
What is a proportion?
A proportion is an equality of two ratios: a : b = c : d, meaning a/b = c/d. Here a and d are extremes, b and c are means.
In a proportion a : b = c : d, what is the key property?
Product of extremes = product of means, i.e., a x d = b x c (cross-multiplication).
How do you divide a quantity in the ratio a : b?
Total parts = a + b. First share = (a / (a+b)) x Total; second share = (b / (a+b)) x Total.
What is the mean proportional between two numbers a and b?
The mean proportional is sqrt(a x b), the square root of their product.
What is the formula for average (arithmetic mean)?
Average = (Sum of all observations) / (Number of observations).
How do you find the total from average and number of items?
Sum = Average x Number of items.
What is the average of the first n natural numbers?
Average = (n + 1) / 2.
What is the formula for Simple Interest?
SI = (P x R x T) / 100, where P = principal, R = rate percent per annum, T = time in years.
What is the formula for Amount in simple interest?
Amount = Principal + Simple Interest = P + (P x R x T)/100 = P(1 + RT/100).
How do you find the rate R in simple interest?
R = (SI x 100) / (P x T).
In simple interest, how many years does it take a sum to double at rate R%?
Time to double = 100 / R years (since SI must equal the principal).
What is discount and on what is it calculated?
Discount is a reduction given on the Marked Price (MP). It is calculated as a percentage of the Marked Price, not the cost price.
What is the formula relating Selling Price, Marked Price and Discount?
SP = MP - Discount, and Discount% = (Discount / MP) x 100. So SP = MP x (100 - Discount%)/100.
If a person can do a work in n days, how much work is done in one day?
One day's work = 1/n of the total work.
If A does a work in x days and B in y days, in how many days do they finish together?
Together they take (x x y) / (x + y) days, since combined one-day work = 1/x + 1/y.
State the Work = Rate x Time relationship and the M.D.H formula for work.
Work done is proportional to (Men x Days x Hours). If work is equal: (M1 x D1 x H1)/W1 = (M2 x D2 x H2)/W2.
What this deck covers
The Mathematics deck follows the Police Constable Test Mathematics 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 79 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 Police Constable 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 Police Constable 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 cards cover?
They follow the Police Constable Test Mathematics 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.