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🇬🇧 Civil Service Numerical Reasoning Test · flashcards
Civil Service Numerical Reasoning Test Core Numeracy Foundations Flashcards
50 question-and-answer cards covering Core Numeracy Foundations as it is examined in Civil Service Numerical Reasoning Test. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Core Numeracy Foundations deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
How do you divide one fraction by another, e.g. $\frac{2}{3} \div \frac{4}{5}$?
Multiply by the reciprocal of the divisor: $\frac{2}{3} \times \frac{5}{4} = \frac{10}{12} = \frac{5}{6}$.
How do you simplify a fraction such as $\frac{18}{24}$?
Divide numerator and denominator by their highest common factor. $\gcd(18,24)=6$, so $\frac{18}{24} = \frac{3}{4}$.
How do you convert the improper fraction $\frac{17}{5}$ to a mixed number?
Divide: $17 \div 5 = 3$ remainder $2$, so $\frac{17}{5} = 3\frac{2}{5}$.
How do you convert a fraction to a decimal, e.g. $\frac{3}{8}$?
Divide the numerator by the denominator: $3 \div 8 = 0.375$.
How do you convert a decimal to a percentage, e.g. $0.42$?
Multiply by $100$ and add a percent sign: $0.42 \times 100 = 42\%$.
How do you convert a percentage to a fraction in simplest form, e.g. $35\%$?
Write over $100$ and simplify: $\frac{35}{100} = \frac{7}{20}$.
How do you convert a percentage to a decimal, e.g. $7\%$?
Divide by $100$ (move the decimal point two places left): $7\% = 0.07$.
State the fraction, decimal and percentage equivalents of one half.
$\frac{1}{2} = 0.5 = 50\%$.
State the fraction, decimal and percentage equivalents of one quarter and three quarters.
$\frac{1}{4} = 0.25 = 25\%$ and $\frac{3}{4} = 0.75 = 75\%$.
What is $\frac{1}{3}$ as a decimal and percentage (to common precision)?
$\frac{1}{3} = 0.\overline{3} \approx 0.333 = 33\tfrac{1}{3}\% \approx 33.3\%$.
What is $\frac{1}{5}$ as a decimal and percentage?
$\frac{1}{5} = 0.2 = 20\%$.
How do you find $15\%$ of a quantity mentally?
Find $10\%$ (divide by $10$), then add half of that ($5\%$). E.g. $15\%$ of $80$: $8 + 4 = 12$.
What is the rule for adding two negative numbers, e.g. $-5 + (-3)$?
Add their magnitudes and keep the negative sign: $-5 + (-3) = -8$.
What does subtracting a negative number do, e.g. $7 - (-4)$?
Subtracting a negative is the same as adding the positive: $7 - (-4) = 7 + 4 = 11$.
What is the sign rule when multiplying or dividing two numbers with different signs?
The result is negative. E.g. $-6 \times 4 = -24$ and $\frac{-20}{5} = -4$. Two same signs give a positive result.
A temperature falls from $4^{\circ}\mathrm{C}$ to $-9^{\circ}\mathrm{C}$. By how much did it drop?
The change is $4 - (-9) = 13$, so the temperature dropped by $13^{\circ}\mathrm{C}$.
A bank balance of $\pounds 30$ has a $\pounds 50$ payment taken out. What is the new balance?
$30 - 50 = -20$, i.e. the account is overdrawn by $\pounds 20$ (balance $-\pounds 20$).
How many metres are in a kilometre, and how many centimetres in a metre?
$1\text{ km} = 1000\text{ m}$ and $1\text{ m} = 100\text{ cm}$.
How many millimetres are in a centimetre and in a metre?
$1\text{ cm} = 10\text{ mm}$ and $1\text{ m} = 1000\text{ mm}$.
How do you convert $2.5\text{ kg}$ into grams?
Multiply by $1000$ since $1\text{ kg} = 1000\text{ g}$: $2.5 \times 1000 = 2500\text{ g}$.
How do you convert $750\text{ ml}$ into litres?
Divide by $1000$ since $1\text{ L} = 1000\text{ ml}$: $750 \div 1000 = 0.75\text{ L}$.
Convert $3.2\text{ m}$ to centimetres.
Multiply by $100$: $3.2 \times 100 = 320\text{ cm}$.
State the 'round half up' convention for rounding $2.5$ and $3.45$ to the nearest whole/tenth.
A trailing digit of $5$ or more rounds up. $2.5$ rounds to $3$; $3.45$ to one decimal place rounds to $3.5$.
Round $0.04863$ to $2$ significant figures.
The first two significant figures are $4$ and $8$; the next digit is $6$, so round up: $0.049$.
What this deck covers
The Core Numeracy Foundations deck follows the Civil Service Numerical Reasoning Test Core Numeracy Foundations syllabus — 3 chapters and 11 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 16.7 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 76 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.
Core Numeracy Foundations flashcards FAQ
How many Core Numeracy Foundations flashcards are in this Civil Service Numerical Reasoning 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 Civil Service Numerical Reasoning 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 Core Numeracy Foundations cards cover?
They follow the Civil Service Numerical Reasoning Test Core Numeracy Foundations syllabus — 3 chapters and 11 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.