Answer key for adults. Keep it away from your child until the paper is finished.

Buckinghamshire original mock 1: adult answer key

Question keys independently reviewed on 24 September 2026. Timings and difficulty remain editorial estimates.

Keep this key separate from the student booklet. Practice and worked examples are unscored. Each correct assessed answer earns one practice point. A paired answer earns its point only when both marks are correct. These practice points are not a standardised score.

Paper 1: Verbal Skills: Get ready

Paper 1: Verbal Skills: English practice

Worked example: bucks-eng-017

Answer: D, He waits there while his sister has a music lesson.

1. The opening sentence tells us what his sister is doing. 2. His bakery visit fills that waiting time. 3. The answer is: He waits there while his sister has a music lesson.

Wrong-option traps:

Practice question 1: bucks-eng-057

Answer: E, had

1. The leaving happened before our arrival in the past. The past perfect is had left. 2. The answer is: had

Wrong-option traps:

Practice question 2: bucks-eng-041

Answer: A, calm

1. The cheers might be distracting, yet the goalkeeper keeps control. 2. Put the meaning back into the sentence to check that it fits. 3. The answer is: calm

Wrong-option traps:

Paper 1: Verbal Skills: English

Question 1: bucks-eng-001

Answer: A, The clock shows a time that does not match her watch.

1. Compare almost two on her watch with six minutes past twelve on the clock. 2. CORRECTED appears to promise a correct time. 3. The answer is: The clock shows a time that does not match her watch.

Wrong-option traps:

Question 2: bucks-eng-002

Answer: A, Its broken mechanical part has been replaced.

1. Mr Bell points to a new tooth in the wheel. 2. He means the repair, rather than the time shown. 3. The answer is: Its broken mechanical part has been replaced.

Wrong-option traps:

Question 3: bucks-eng-003

Answer: D, They show that the notice can confuse people outside.

1. Leila says people outside cannot see the repaired tooth. 2. The watch comparison makes the communication problem visible. 3. The answer is: They show that the notice can confuse people outside.

Wrong-option traps:

Question 4: bucks-eng-004

Answer: E, He invites her to improve the notice.

1. He offers the pencil immediately after seeing the confused people. 2. Leila then adds an explanation to the notice. 3. The answer is: He invites her to improve the notice.

Wrong-option traps:

Question 5: bucks-eng-005

Answer: A, She recognises that the word accurately describes the repair.

1. The narrator explains that Mr Bell corrected the machinery. 2. Leila now sees a valid meaning of CORRECTED. 3. The answer is: She recognises that the word accurately describes the repair.

Wrong-option traps:

Question 6: bucks-eng-006

Answer: B, Observant and willing to reconsider her first judgement.

1. Leila notices the mismatch first. 2. After learning about the repair, she changes her view of the word CORRECTED. 3. The answer is: Observant and willing to reconsider her first judgement.

Wrong-option traps:

Question 7: bucks-eng-007

Answer: D, The faulty part is very small.

1. A thumbnail is small. 2. Scarcely longer means only a little longer than that small object. 3. The answer is: The faulty part is very small.

Wrong-option traps:

Question 8: bucks-eng-008

Answer: C, Leila hears the clock strike as musicians arrive.

1. Trace the story from afternoon to evening. 2. The final paragraph ends with musicians arriving and the clock striking. 3. The answer is: Leila hears the clock strike as musicians arrive.

Wrong-option traps:

Question 9: bucks-eng-009

Answer: E, To make the comparison of roofing materials fairer.

1. They are comparing materials. 2. Keeping size and slope equal reduces other explanations for different results. 3. The answer is: To make the comparison of roofing materials fairer.

Wrong-option traps:

Question 10: bucks-eng-010

Answer: D, The smooth plastic roof.

1. Find the first observation after pouring begins. 2. Water rushes from the plastic while the other materials slow it. 3. The answer is: The smooth plastic roof.

Wrong-option traps:

Question 11: bucks-eng-011

Answer: C, They need more observations and a clear meaning of success.

1. "Won what?" asks what they are judging. 2. "Only started watching" warns that the evidence is incomplete. 3. The answer is: They need more observations and a clear meaning of success.

Wrong-option traps:

Question 12: bucks-eng-012

Answer: C, It has retained some of the water.

1. Less water reaches its tray. 2. The extra weight supports the idea that some water remains in the moss and soil. 3. The answer is: It has retained some of the water.

Wrong-option traps:

Question 13: bucks-eng-013

Answer: D, To explain the limits of the conclusion.

1. It lists real-world conditions the model leaves out. 2. That prevents a small test being treated as proof of a much larger claim. 3. The answer is: To explain the limits of the conclusion.

Wrong-option traps:

Question 14: bucks-eng-014

Answer: B, He has learned to describe exactly what the test supports.

1. The new heading names the measured feature and limits it to this test. 2. It replaces an unsupported overall judgement. 3. The answer is: He has learned to describe exactly what the test supports.

Wrong-option traps:

Question 15: bucks-eng-015

Answer: B, It keeps dripping after the other roofs have stopped.

1. Delayed release means water continues arriving later. 2. The continued dripping is direct evidence of that delay. 3. The answer is: It keeps dripping after the other roofs have stopped.

Wrong-option traps:

Question 16: bucks-eng-016

Answer: C, Gave a more accurate account of the findings.

1. The heading becomes precise rather than boastful. 2. Better refers to how faithfully it represents the evidence. 3. The answer is: Gave a more accurate account of the findings.

Wrong-option traps:

Question 17: bucks-eng-056

Answer: D, is

1. Neither means not one of the two, so use the singular verb is. 2. The answer is: is

Wrong-option traps:

Question 18: bucks-eng-058

Answer: B, me

1. Remove Maya and: "addressed to me" sounds right because to takes an object pronoun. 2. The answer is: me

Wrong-option traps:

Question 19: bucks-eng-061

Answer: E, its

1. The tail belongs to the puppy. The possessive word is its, without an apostrophe. 2. The answer is: its

Wrong-option traps:

Question 20: bucks-eng-064

Answer: D, we continued towards the lake

1. The although clause needs a complete main clause: we continued towards the lake. 2. The answer is: we continued towards the lake

Wrong-option traps:

Question 21: bucks-eng-067

Answer: C, in a seperate folder

1. Join the four groups in order and check the whole sentence. 2. Seperate has the wrong middle vowel. The correct spelling is separate. 3. The answer is C: in a seperate folder.

Wrong-option traps:

Question 22: bucks-eng-069

Answer: N, No mistake

1. Join the four groups in order and check the whole sentence. 2. Excellent, ancient, sheltered and sudden are all correctly spelled. The remaining words are correct too. 3. The answer is N: No mistake.

Wrong-option traps:

Question 23: bucks-eng-072

Answer: N, No mistake

1. Join the four groups in order and check the whole sentence. 2. Fallen, branch, obstacle, walkers and lifted are correctly spelled, as are the other words. 3. The answer is N: No mistake.

Wrong-option traps:

Question 24: bucks-eng-075

Answer: B, we packed socks boots, gloves and hats

1. Join the four groups in order and check the whole sentence. 2. There must be a comma between socks and boots in the list: socks, boots, gloves and hats. 3. The answer is B: we packed socks boots, gloves and hats.

Wrong-option traps:

Question 25: bucks-eng-078

Answer: N, No mistake

1. Join the four groups in order and check the whole sentence. 2. The introductory comma, the colon announcing the tools and the comma in the list are correctly used. 3. The answer is N: No mistake.

Wrong-option traps:

Paper 1: Verbal Skills: Verbal reasoning practice

Worked example: bucks-vr-022

Answer: B and Y, temperature / direction

1. A thermometer shows temperature; a compass shows direction. 2. Check the same relationship runs from each given word to your selected word. 3. The answer is temperature / direction.

Wrong-option traps:

Practice question 1: bucks-vr-032

Answer: D, W

1. W completes CROW and SWING. 2. Keep the letter in the marked position and check both words. 3. The answer is W.

Wrong-option traps:

Practice question 2: bucks-vr-052

Answer: E, CZSJ

1. B moves to C and A moves backward to Z. 2. R moves to S and K moves backward to J. 3. The answer is CZSJ.

Wrong-option traps:

Paper 1: Verbal Skills: Verbal reasoning

Question 1: bucks-vr-021

Answer: B and X, flower / butterfly

1. A bud develops into a flower; a caterpillar develops into a butterfly. 2. Check the same relationship runs from each given word to your selected word. 3. The answer is flower / butterfly.

Wrong-option traps:

Question 2: bucks-vr-023

Answer: C and X, novel / symphony

1. An author creates a novel; a composer creates a symphony. 2. Check the same relationship runs from each given word to your selected word. 3. The answer is novel / symphony.

Wrong-option traps:

Question 3: bucks-vr-025

Answer: B and Z, shout / downpour

1. A shout is louder than a whisper; a downpour is heavier than drizzle. 2. Check the same relationship runs from each given word to your selected word. 3. The answer is shout / downpour.

Wrong-option traps:

Question 4: bucks-vr-027

Answer: B and Z, sheep / fish

1. A flock is a group of sheep; a shoal is a group of fish. 2. Check the same relationship runs from each given word to your selected word. 3. The answer is sheep / fish.

Wrong-option traps:

Question 5: bucks-vr-029

Answer: A and Z, records / water

1. An archive stores records; a reservoir stores water. 2. Check the same relationship runs from each given word to your selected word. 3. The answer is records / water.

Wrong-option traps:

Question 6: bucks-vr-001

Answer: C, dangerous

1. Frost can make a path unsafe. Treacherous here means dangerous. 2. Check that the replacement keeps the meaning of the whole sentence. 3. The answer is dangerous.

Wrong-option traps:

Question 7: bucks-vr-005

Answer: C, calm

1. Composed here means keeping control of your feelings. 2. Check that the replacement keeps the meaning of the whole sentence. 3. The answer is calm.

Wrong-option traps:

Question 8: bucks-vr-009

Answer: B, genuine

1. A sincere apology expresses what the speaker really feels. 2. Check that the replacement keeps the meaning of the whole sentence. 3. The answer is genuine.

Wrong-option traps:

Question 9: bucks-vr-013

Answer: E, permanent

1. Temporary means for a limited time. Permanent means intended to last. 2. Choose the opposite on the same scale, rather than a different quality. 3. The answer is permanent.

Wrong-option traps:

Question 10: bucks-vr-017

Answer: E, chisel

1. A chisel cuts or shapes hard material. 2. Check every part of the question before choosing. 3. The answer is chisel.

Wrong-option traps:

Question 11: bucks-vr-031

Answer: A, N

1. N completes PLAN and SNIPE. A snipe is a long-billed bird. 2. Keep the letter in the marked position and check both words. 3. The answer is N.

Wrong-option traps:

Question 12: bucks-vr-033

Answer: A, R

1. R completes FRAME and BRICK. 2. Keep the letter in the marked position and check both words. 3. The answer is R.

Wrong-option traps:

Question 13: bucks-vr-035

Answer: D, R

1. R completes GRAVE and TRICK. 2. Keep the letter in the marked position and check both words. 3. The answer is R.

Wrong-option traps:

Question 14: bucks-vr-037

Answer: B, CHAR

1. The complete word is ORCHARD. 2. The missing letters in order are CHAR. 3. The answer is CHAR.

Wrong-option traps:

Question 15: bucks-vr-039

Answer: A, CELL

1. The complete word is EXCELLENT. 2. The missing letters in order are CELL. 3. The answer is CELL.

Wrong-option traps:

Question 16: bucks-vr-041

Answer: E, bow

1. RAIN + BOW gives rainbow. 2. BOW + STRING gives bowstring. 3. The answer is bow.

Wrong-option traps:

Question 17: bucks-vr-043

Answer: E, ball

1. FOOT + BALL gives football. 2. BALL + ROOM gives ballroom. 3. The answer is ball.

Wrong-option traps:

Question 18: bucks-vr-045

Answer: C, brush

1. TOOTH + BRUSH gives toothbrush. 2. BRUSH + STROKE gives brushstroke. 3. The answer is brush.

Wrong-option traps:

Question 19: bucks-vr-047

Answer: A, MINK

1. The final m of calm followed by ink makes MINK. 2. Keep the letters in order; do not choose letters wholly on one side. 3. The answer is MINK.

Wrong-option traps:

Question 20: bucks-vr-049

Answer: A, ICON

1. The final ic of music followed by on makes ICON. 2. Keep the letters in order; do not choose letters wholly on one side. 3. The answer is ICON.

Wrong-option traps:

Question 21: bucks-vr-051

Answer: B, HTQI

1. F becomes H, R becomes T, O becomes Q and G becomes I. 2. Keep the four letters in their original order. 3. The answer is HTQI.

Wrong-option traps:

Question 22: bucks-vr-053

Answer: D, NVMQ

1. Reverse PLUM to get MULP. 2. Move M, U, L, P forward one place to N, V, M, Q. 3. The answer is NVMQ.

Wrong-option traps:

Question 23: bucks-vr-055

Answer: E, 9742

1. POST = 4729 gives P = 4, O = 7, S = 2, T = 9. STOP checks the same assignments. 2. TOPS has digits 9, 7, 4, 2. 3. The answer is 9742.

Wrong-option traps:

Question 24: bucks-vr-057

Answer: C, IR

1. A, C, E, G advance two letters to I. 2. Z, X, V, T retreat two letters to R. 3. The answer is IR.

Wrong-option traps:

Question 25: bucks-vr-059

Answer: D, NI

1. Z, W, T, Q retreat three places to N. 2. A, C, E, G advance two places to I. 3. The answer is NI.

Wrong-option traps:

Question 26: bucks-vr-048

Answer: C, HAIR

1. The final h of fresh followed by air makes HAIR. 2. Keep the letters in order; do not choose letters wholly on one side. 3. The answer is HAIR.

Wrong-option traps:

Question 27: bucks-vr-058

Answer: E, ST

1. The first letters jump +3, +4, +5, so M moves +6 to S. 2. Each second letter is one after the first, so the pair ends in T. 3. The answer is ST.

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Get ready

Paper 2: Mathematical and Non-Verbal Skills: Visual series practice

Worked example: bucks-nvr-008

Answer: A, Arrow points up; dot is above.

1. The arrow makes a quarter-turn clockwise each time. 2. The dot makes a half-turn each time. Move the arrow and dot separately before matching them. 3. Choose A: Arrow points up; dot is above.

Wrong-option traps:

Practice question 1: bucks-nvr-009

Answer: B, Arrow points right; dot is above.

1. The arrow makes a quarter-turn clockwise each time. 2. The dot makes a quarter-turn anticlockwise each time. Move the arrow and dot separately before matching them. 3. Choose B: Arrow points right; dot is above.

Wrong-option traps:

Practice question 2: bucks-nvr-010

Answer: A, Arrow points down; dot is above.

1. The arrow makes a quarter-turn clockwise each time. 2. The dot makes a half-turn each time. Move the arrow and dot separately before matching them. 3. Choose A: Arrow points down; dot is above.

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Visual series

Question 1: bucks-nvr-011

Answer: E, Arrow points left; dot is above.

1. The arrow makes a quarter-turn clockwise each time. 2. The dot makes a quarter-turn anticlockwise each time. Move the arrow and dot separately before matching them. 3. Choose E: Arrow points left; dot is above.

Wrong-option traps:

Question 2: bucks-nvr-012

Answer: D, Arrow points up; dot is right.

1. The arrow makes a quarter-turn clockwise each time. 2. The dot makes a half-turn each time. Move the arrow and dot separately before matching them. 3. Choose D: Arrow points up; dot is right.

Wrong-option traps:

Question 3: bucks-nvr-013

Answer: D, Arrow points right; dot is right.

1. The arrow makes a quarter-turn anticlockwise each time. 2. The dot makes a quarter-turn anticlockwise each time. Move the arrow and dot separately before matching them. 3. Choose D: Arrow points right; dot is right.

Wrong-option traps:

Question 4: bucks-nvr-015

Answer: B, Arrow points left; dot is right.

1. The arrow makes a quarter-turn anticlockwise each time. 2. The dot makes a quarter-turn anticlockwise each time. Move the arrow and dot separately before matching them. 3. Choose B: Arrow points left; dot is right.

Wrong-option traps:

Question 5: bucks-nvr-016

Answer: C, Arrow points up; dot is below.

1. The arrow makes a quarter-turn anticlockwise each time. 2. The dot makes a half-turn each time. Move the arrow and dot separately before matching them. 3. Choose C: Arrow points up; dot is below.

Wrong-option traps:

Question 6: bucks-nvr-017

Answer: B, Arrow points right; dot is below.

1. The arrow makes a quarter-turn anticlockwise each time. 2. The dot makes a quarter-turn anticlockwise each time. Move the arrow and dot separately before matching them. 3. Choose B: Arrow points right; dot is below.

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Visual classification practice

Worked example: bucks-nvr-026

Answer: D, Shaded 5-sided shape with 4 dots.

1. The number of dots is one less than the number of sides in both X and Y. 2. Both examples are shaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose D: Shaded 5-sided shape with 4 dots.

Wrong-option traps:

Practice question 1: bucks-nvr-027

Answer: D, Unshaded 6-sided shape with 5 dots.

1. The number of dots is one less than the number of sides in both X and Y. 2. Both examples are unshaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose D: Unshaded 6-sided shape with 5 dots.

Wrong-option traps:

Practice question 2: bucks-nvr-028

Answer: B, Shaded 7-sided shape with 6 dots.

1. The number of dots is one less than the number of sides in both X and Y. 2. Both examples are shaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose B: Shaded 7-sided shape with 6 dots.

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Visual classification

Question 1: bucks-nvr-029

Answer: B, Unshaded 6-sided shape with 5 dots.

1. The number of dots is one less than the number of sides in both X and Y. 2. Both examples are unshaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose B: Unshaded 6-sided shape with 5 dots.

Wrong-option traps:

Question 2: bucks-nvr-030

Answer: B, Shaded 7-sided shape with 6 dots.

1. The number of dots is one less than the number of sides in both X and Y. 2. Both examples are shaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose B: Shaded 7-sided shape with 6 dots.

Wrong-option traps:

Question 3: bucks-nvr-031

Answer: C, Unshaded 8-sided shape with 6 dots.

1. The number of dots is two less than the number of sides in both X and Y. 2. Both examples are unshaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose C: Unshaded 8-sided shape with 6 dots.

Wrong-option traps:

Question 4: bucks-nvr-032

Answer: D, Shaded 5-sided shape with 3 dots.

1. The number of dots is two less than the number of sides in both X and Y. 2. Both examples are shaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose D: Shaded 5-sided shape with 3 dots.

Wrong-option traps:

Question 5: bucks-nvr-033

Answer: D, Unshaded 6-sided shape with 4 dots.

1. The number of dots is two less than the number of sides in both X and Y. 2. Both examples are unshaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose D: Unshaded 6-sided shape with 4 dots.

Wrong-option traps:

Question 6: bucks-nvr-034

Answer: E, Shaded 7-sided shape with 5 dots.

1. The number of dots is two less than the number of sides in both X and Y. 2. Both examples are shaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose E: Shaded 7-sided shape with 5 dots.

Wrong-option traps:

Question 7: bucks-nvr-036

Answer: C, Shaded 7-sided shape with 5 dots.

1. The number of dots is two less than the number of sides in both X and Y. 2. Both examples are shaded. The new shape must satisfy the dot rule and the shading rule together. 3. Choose C: Shaded 7-sided shape with 5 dots.

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Shape codes practice

Worked example: bucks-nvr-037

Answer: E, Shaded 4-sided shape with 2 dots.

1. Compare examples that change only their shape: L means 4 sides. 2. Compare examples with the same shape: 2 means 2 dots, and P means shaded. Read all three code positions. 3. Choose E: Shaded 4-sided shape with 2 dots.

Wrong-option traps:

Practice question 1: bucks-nvr-038

Answer: C, Unshaded 5-sided shape with 3 dots.

1. Compare examples that change only their shape: L means 5 sides. 2. Compare examples with the same shape: 4 means 3 dots, and P means unshaded. Read all three code positions. 3. Choose C: Unshaded 5-sided shape with 3 dots.

Wrong-option traps:

Practice question 2: bucks-nvr-039

Answer: A, Shaded 5-sided shape with 2 dots.

1. Compare examples that change only their shape: L means 5 sides. 2. Compare examples with the same shape: 2 means 2 dots, and P means shaded. Read all three code positions. 3. Choose A: Shaded 5-sided shape with 2 dots.

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Shape codes

Question 1: bucks-nvr-040

Answer: A, Unshaded 4-sided shape with 3 dots.

1. Compare examples that change only their shape: K means 4 sides. 2. Compare examples with the same shape: 6 means 3 dots, and P means unshaded. Read all three code positions. 3. Choose A: Unshaded 4-sided shape with 3 dots.

Wrong-option traps:

Question 2: bucks-nvr-044

Answer: C, Unshaded 5-sided shape with 3 dots.

1. Compare examples that change only their shape: L means 5 sides. 2. Compare examples with the same shape: 2 means 3 dots, and Q means unshaded. Read all three code positions. 3. Choose C: Unshaded 5-sided shape with 3 dots.

Wrong-option traps:

Question 3: bucks-nvr-045

Answer: B, Shaded 4-sided shape with 2 dots.

1. Compare examples that change only their shape: K means 4 sides. 2. Compare examples with the same shape: 4 means 2 dots, and Q means shaded. Read all three code positions. 3. Choose B: Shaded 4-sided shape with 2 dots.

Wrong-option traps:

Question 4: bucks-nvr-047

Answer: D, Shaded 5-sided shape with 2 dots.

1. Compare examples that change only their shape: K means 5 sides. 2. Compare examples with the same shape: 6 means 2 dots, and Q means shaded. Read all three code positions. 3. Choose D: Shaded 5-sided shape with 2 dots.

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Paper folding practice

Worked example: bucks-nvr-048

Answer: C, Figure C

1. Undo the last fold first. Each punched cell gets a matching hole equally far above the horizontal centre line. 2. Undo the first fold. Reflect all four holes across the vertical centre line. There are eight holes, in four mirror pairs. 3. Choose C: Shaded cells (2,2), (2,5), (3,3), (3,4), (4,3), (4,4), (5,2), (5,5) (row, column).

Wrong-option traps:

Practice question 1: bucks-nvr-049

Answer: B, Figure B

1. Undo the last fold first. Each punched cell gets a matching hole equally far above the horizontal centre line. 2. Undo the first fold. Reflect all four holes across the vertical centre line. There are eight holes, in four mirror pairs. 3. Choose B: Shaded cells (1,2), (1,5), (2,3), (2,4), (5,3), (5,4), (6,2), (6,5) (row, column).

Wrong-option traps:

Practice question 2: bucks-nvr-050

Answer: A, Figure A

1. Undo the last fold first. Each punched cell gets a matching hole equally far above the horizontal centre line. 2. Undo the first fold. Reflect all four holes across the vertical centre line. There are eight holes, in four mirror pairs. 3. Choose A: Shaded cells (1,3), (1,4), (3,2), (3,5), (4,2), (4,5), (6,3), (6,4) (row, column).

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Paper folding

Question 1: bucks-nvr-051

Answer: A, Figure A

1. Undo the last fold first. Each punched cell gets a matching hole equally far above the horizontal centre line. 2. Undo the first fold. Reflect all four holes across the vertical centre line. There are eight holes, in four mirror pairs. 3. Choose A: Shaded cells (2,1), (2,6), (3,2), (3,5), (4,2), (4,5), (5,1), (5,6) (row, column).

Wrong-option traps:

Question 2: bucks-nvr-052

Answer: C, Figure C

1. Undo the last fold first. Each punched cell gets a matching hole equally far above the horizontal centre line. 2. Undo the first fold. Reflect all four holes across the vertical centre line. There are eight holes, in four mirror pairs. 3. Choose C: Shaded cells (1,1), (1,6), (2,2), (2,5), (5,2), (5,5), (6,1), (6,6) (row, column).

Wrong-option traps:

Question 3: bucks-nvr-054

Answer: D, Figure D

1. Undo the last fold first. Each punched cell gets a matching hole equally far above the horizontal centre line. 2. Undo the first fold. Reflect all four holes across the vertical centre line. There are eight holes, in four mirror pairs. 3. Choose D: Shaded cells (2,3), (2,4), (3,1), (3,6), (4,1), (4,6), (5,3), (5,4) (row, column).

Wrong-option traps:

Question 4: bucks-nvr-055

Answer: E, Figure E

1. Undo the last fold first. Each punched cell gets a matching hole equally far above the horizontal centre line. 2. Undo the first fold. Reflect all four holes across the vertical centre line. There are eight holes, in four mirror pairs. 3. Choose E: Shaded cells (1,3), (1,4), (2,1), (2,6), (5,1), (5,6), (6,3), (6,4) (row, column).

Wrong-option traps:

Question 5: bucks-nvr-058

Answer: A, Figure A

1. Undo the last fold first. Each punched cell gets a matching hole equally far above the horizontal centre line. 2. Undo the first fold. Reflect all four holes across the vertical centre line. There are eight holes, in four mirror pairs. 3. Choose A: Shaded cells (1,1), (1,6), (2,3), (2,4), (5,3), (5,4), (6,1), (6,6) (row, column).

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Mathematics practice

Worked example: bucks-mat-002

Answer: D, 1,200

1. Multiplying by 25 is the same as multiplying by 100 and dividing by 4. 2. 48 × 100 ÷ 4 = 4,800 ÷ 4 = 1,200.

Wrong-option traps:

Practice question 1: bucks-mat-003

Answer: C, 39

1. 24 × 40 = 960. The target 936 is 24 less. 2. Remove one group of 24: 40 − 1 = 39.

Wrong-option traps:

Practice question 2: bucks-mat-004

Answer: A, 51

1. Do the multiplication first: 6 × 7 = 42. 2. Then 18 + 42 − 9 = 51.

Wrong-option traps:

Paper 2: Mathematical and Non-Verbal Skills: Mathematics

Question 1: bucks-mat-001

Answer: B, 4,357

1. Subtract 2,800 first: 7,206 − 2,800 = 4,406. 2. Then subtract 49: 4,406 − 50 + 1 = 4,357.

Wrong-option traps:

Question 2: bucks-mat-005

Answer: D, 15

1. Undo subtracting 16 by adding it: 89 + 16 = 105. 2. Undo multiplying by 7: 105 ÷ 7 = 15.

Wrong-option traps:

Question 3: bucks-mat-009

Answer: C, 56

1. One eighth of 64 is 64 ÷ 8 = 8. 2. Seven eighths is 7 × 8 = 56.

Wrong-option traps:

Question 4: bucks-mat-013

Answer: C, 6.83

1. Write both numbers in hundredths: 605 hundredths plus 78 hundredths. 2. 605 + 78 = 683 hundredths, which is 6.83.

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Question 5: bucks-mat-018

Answer: E, 69,000

1. 68,749 lies between 68,000 and 69,000. Its last three digits are 749. 2. Since 749 is at least 500, round up to 69,000.

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Question 6: bucks-mat-022

Answer: A, 48

1. The gaps are 5, 7, 9 and 11, so the next gap is 13. 2. 35 + 13 = 48.

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Question 7: bucks-mat-026

Answer: B, 1/2

1. The gap between 1/4 and 3/4 is 2/4. Half that gap is 1/4. 2. Add 1/4 to the lower endpoint: 1/4 + 1/4 = 1/2.

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Question 8: bucks-mat-031

Answer: E, 40 cm

1. A rectangle has two sides of each length. Add 13 + 7 = 20. 2. Double this: 2 × 20 = 40 cm.

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Question 9: bucks-mat-034

Answer: A, 30 cm²

1. A rectangle with these perpendicular sides has area 10 × 6 = 60 cm². 2. The triangle is half of it: 60 ÷ 2 = 30 cm².

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Question 10: bucks-mat-037

Answer: B, 12

1. 1.5 litres is 1,500 ml. 2. 1,500 ÷ 125 = 12, so it fills 12.

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Question 11: bucks-mat-044

Answer: D, 145 cm

1. 4 m = 400 cm. The cut pieces total 3 × 85 = 255 cm. 2. 400 − 255 = 145 cm.

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Question 12: bucks-mat-047

Answer: E, 68 cm²

1. The whole rectangle has area 10 × 8 = 80 cm². The cut-out is 4 × 3 = 12 cm². 2. 80 − 12 = 68 cm².

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Question 13: bucks-mat-051

Answer: C, 124

1. Group convenient pairs: 28 + 42 = 70 and 35 + 19 = 54. 2. 70 + 54 = 124.

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Question 14: bucks-mat-053

Answer: C, 11 cm

1. Put the heights in order: 7, 9, 11, 12, 15. 2. The middle of five values is the third value: 11 cm.

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Question 15: bucks-mat-056

Answer: E, 2/5

1. The total is 9 + 12 + 6 + 3 = 30 votes. Football gets 12/30. 2. Divide numerator and denominator by 6 to get 2/5.

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Question 16: bucks-mat-058

Answer: B, 7 minutes

1. Train A takes 42 minutes. Train B takes 35 minutes. 2. 42 − 35 = 7 minutes.

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Question 17: bucks-mat-061

Answer: C, 14

1. Four numbers with mean 12 have total 4 × 12 = 48. The known numbers total 34. 2. 48 − 34 = 14.

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Question 18: bucks-mat-066

Answer: D, £26

1. Two adults cost 2 × £7 = £14. Three children cost 3 × £4 = £12. 2. Total cost = £14 + £12 = £26.

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Question 19: bucks-mat-069

Answer: E, £1.15

1. 184p ÷ 8 = 23p per pencil. 2. Five cost 5 × 23p = 115p, which is £1.15.

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Question 20: bucks-mat-072

Answer: E, 72 litres

1. The drop is 3/4 − 1/2 = 1/4 of the tank. That quarter holds 18 litres. 2. Four quarters hold 4 × 18 = 72 litres.

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Question 21: bucks-mat-076

Answer: C, 9

1. The visits alone cost £39 − £12 = £27. 2. At £3 per visit, £27 ÷ £3 = 9.

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Question 22: bucks-mat-079

Answer: A, 4

1. If all eight coins were 20p, they would total 160p. The actual total is 120p more. 2. Each swap to 50p adds 30p, so 120 ÷ 30 = 4.

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