CAST Permanent study materials
CAST Permanent study resources

CAST Permanent cheat sheet

CAST Permanent · Keep the key ideas within reach.

Quick reference

Verbal Reasoning

  • True means the statement follows logically from the passage alone; False means it contradicts the passage; Cannot Say means the passage neither confirms nor denies it, even if outside knowledge suggests an answer.

  • Judge only against the passage text. Prior knowledge, plausibility, or general opinion is irrelevant and must not shift a Cannot Say to True or False.

  • A statement that overstates the passage (all, always, never, only) is usually False or Cannot Say; check whether the passage hedges with some, may, often, tends to.

  • Distinguish contradiction from silence: False requires the passage to state the opposite; if the passage is merely silent on the point, the answer is Cannot Say.

  • Watch quantifier and scope shifts: 'most' vs 'all', 'some' vs 'none', 'more likely' vs 'causes'. A changed quantifier usually changes the verdict.

  • Correlation in the passage does not license a causal statement; a statement claiming cause is Cannot Say unless the passage asserts causation.

  • Comparative statements need the same comparison set: a claim about 'the largest' is Cannot Say if the passage only compares two of several items.

  • Time and tense matter: a statement about the present or future is Cannot Say if the passage only describes the past.

Quick reference

Numerical Reasoning

  • Percentage change = (new - old) / old x 100; reverse a percentage increase by dividing by (1 + rate), e.g. remove 20% VAT by dividing by 1.20.

  • Percentage points vs percent: a move from 15% to 18% is +3 percentage points but a 20% relative increase (3/15).

  • Ratios scale by a common factor: if a:b = 3:5 and a + b = 64, one part = 64/8 = 8, so a = 24 and b = 40.

  • Currency and unit conversion: multiply by the exchange or conversion factor in the direction that cancels the unwanted unit; check the result's magnitude for plausibility.

  • Weighted averages: overall mean = sum(value x weight) / sum(weights); a simple mean of group means is wrong unless group sizes are equal.

  • Compound change: successive changes multiply, so +10% then -10% gives 1.10 x 0.90 = 0.99, a net -1%, not 0%.

  • Rate problems: distance = speed x time; work rate adds as 1/t1 + 1/t2 = 1/together; use consistent units before combining.

  • Estimate first by rounding to one significant figure to eliminate options, then compute exactly only if two options remain close.

Quick reference

Abstract Reasoning

  • Track each element separately across the series: shape type, count, colour/fill, position, rotation, and size often follow independent rules.

  • Rotation rules are stated in degrees and direction, e.g. +90 degrees clockwise per step; verify against two consecutive transitions before applying.

  • Alternating series split into odd and even positions when a single rule fails to fit all items.

  • Count arithmetic: element counts often follow +1, -1, doubling, or a repeating cycle; write the count sequence out numerically.

  • Distinguish rotation from reflection: reflection reverses orientation (a letter-like shape becomes mirrored), rotation preserves it.

  • Superposition rules in matrix puzzles: overlay cell 1 and cell 2; common conventions are keep-common, cancel-common (XOR), or add-without-overlap.

  • Position movement wraps or bounces at the grid edge; check whether an element that exits reappears on the opposite side.

  • Fill and shading rules are separate from shape rules; a distractor often keeps the shape rule but breaks the shading rule.

Quick reference

Situational Judgement and Competency-Based Assessment

  • Answer as the ideal candidate in the stated role, not as yourself; the scoring key rewards the behaviour the employing organisation prescribes.

  • Rank by priority order typical of public-sector frameworks: safety and legality first, then delivery to the citizen/customer, then team and stakeholder communication, then efficiency.

  • Escalate when the issue exceeds your authority, is a safety or legal risk, or affects someone outside your remit; handle routine matters yourself first.

  • Prefer actions that gather facts before acting: check records, clarify the brief, or consult the relevant policy, rather than guessing or ignoring.

  • Communication rules: inform affected parties promptly, keep the line manager informed of material risks, and avoid bypassing the chain of command without cause.

  • Avoid extremes in response options: 'do nothing', 'ignore the rule', 'confront publicly', and 'wait for someone else' are usually ineffective.

  • In 'most/least effective' items, judge each option independently on effectiveness, not on how it compares with the other options.

  • Competency questions want a concrete STAR structure: Situation, Task, Action, Result, with the action owned by you and the result evidenced by a specific outcome.

Quick reference

Verbal Reasoning

  • True means the statement follows logically from the passage alone; False means it contradicts the passage; Cannot Say means the passage neither confirms nor denies it, even if outside knowledge suggests an answer.

  • Judge only against the passage text. Prior knowledge, plausibility, or general opinion is irrelevant and must not shift a Cannot Say to True or False.

  • A statement that overstates the passage (all, always, never, only) is usually False or Cannot Say; check whether the passage hedges with some, may, often, tends to.

  • Distinguish contradiction from silence: False requires the passage to state the opposite; if the passage is merely silent on the point, the answer is Cannot Say.

  • Watch quantifier and scope shifts: 'most' vs 'all', 'some' vs 'none', 'more likely' vs 'causes'. A changed quantifier usually changes the verdict.

  • Correlation in the passage does not license a causal statement; a statement claiming cause is Cannot Say unless the passage asserts causation.

  • Comparative statements need the same comparison set: a claim about 'the largest' is Cannot Say if the passage only compares two of several items.

  • Time and tense matter: a statement about the present or future is Cannot Say if the passage only describes the past.

Quick reference

Numerical Reasoning

  • Percentage change = (new - old) / old x 100; reverse a percentage increase by dividing by (1 + rate), e.g. remove 20% VAT by dividing by 1.20.

  • Percentage points vs percent: a move from 15% to 18% is +3 percentage points but a 20% relative increase (3/15).

  • Ratios scale by a common factor: if a:b = 3:5 and a + b = 64, one part = 64/8 = 8, so a = 24 and b = 40.

  • Currency and unit conversion: multiply by the exchange or conversion factor in the direction that cancels the unwanted unit; check the result's magnitude for plausibility.

  • Weighted averages: overall mean = sum(value x weight) / sum(weights); a simple mean of group means is wrong unless group sizes are equal.

  • Compound change: successive changes multiply, so +10% then -10% gives 1.10 x 0.90 = 0.99, a net -1%, not 0%.

  • Rate problems: distance = speed x time; work rate adds as 1/t1 + 1/t2 = 1/together; use consistent units before combining.

  • Estimate first by rounding to one significant figure to eliminate options, then compute exactly only if two options remain close.

Quick reference

Abstract Reasoning

  • Track each element separately across the series: shape type, count, colour/fill, position, rotation, and size often follow independent rules.

  • Rotation rules are stated in degrees and direction, e.g. +90 degrees clockwise per step; verify against two consecutive transitions before applying.

  • Alternating series split into odd and even positions when a single rule fails to fit all items.

  • Count arithmetic: element counts often follow +1, -1, doubling, or a repeating cycle; write the count sequence out numerically.

  • Distinguish rotation from reflection: reflection reverses orientation (a letter-like shape becomes mirrored), rotation preserves it.

  • Superposition rules in matrix puzzles: overlay cell 1 and cell 2; common conventions are keep-common, cancel-common (XOR), or add-without-overlap.

  • Position movement wraps or bounces at the grid edge; check whether an element that exits reappears on the opposite side.

  • Fill and shading rules are separate from shape rules; a distractor often keeps the shape rule but breaks the shading rule.

Quick reference

Situational Judgement and Competency-Based Assessment

  • Answer as the ideal candidate in the stated role, not as yourself; the scoring key rewards the behaviour the employing organisation prescribes.

  • Rank by priority order typical of public-sector frameworks: safety and legality first, then delivery to the citizen/customer, then team and stakeholder communication, then efficiency.

  • Escalate when the issue exceeds your authority, is a safety or legal risk, or affects someone outside your remit; handle routine matters yourself first.

  • Prefer actions that gather facts before acting: check records, clarify the brief, or consult the relevant policy, rather than guessing or ignoring.

  • Communication rules: inform affected parties promptly, keep the line manager informed of material risks, and avoid bypassing the chain of command without cause.

  • Avoid extremes in response options: 'do nothing', 'ignore the rule', 'confront publicly', and 'wait for someone else' are usually ineffective.

  • In 'most/least effective' items, judge each option independently on effectiveness, not on how it compares with the other options.

  • Competency questions want a concrete STAR structure: Situation, Task, Action, Result, with the action owned by you and the result evidenced by a specific outcome.