2 Wednesday Work out each difference and and Thursday identify the days where it was
11 degrees: directions on both days:
37 + 40 + 57 + 52 = 186 5 3 Day 2 bicycles – difference
between north and south:
6 − 3 = 3
1 d Alternate up-/down-facing triangles;
shading pattern: lines, black, white, lines … so black next.
2 b Increasing–decreasing pattern for number of lines 1-2-3-4-3- ? so the next one has two lines; decreasing–
increasing pattern of dots 4-3-2-1-2- ? so the next one has three dots.
3 d The first two shapes both have two lines at right angles (so not a), an arrow head at one end, one circle (so not c) and one short line across one of the lines (so not b or e).
4 e A regular shape overlapping an irregular shape (so not b, c or d) and with the overlap area shaded (so not a).
5 a Three shapes connected by two short lines (so not b or c) and one shape shaded (so not d), leaving the choice between a and e. Option e has an additional short line across one of the connecting lines, which neither of the original two patterns has, so can be eliminated leaving the answer as a.
6 c Given a regular pentagon (5 sides) to a square (4 sides), so a square will go to a regular (so not d) triangle (3 sides).
7 d Three curved arrows radiating anticlockwise from a point becomes three straight arrows pointing clockwise around a regular triangle, so 5 curved arrows radiating anticlockwise becomes five straight arrows (so not b, c or e) pointing clockwise (so not a) round a pentagon.
8 d 9 e 10 e
If you have difficulty identifying reflections, hold a mirror alongside the shape or pattern and look at the reflection in the mirror. This will show you what you are looking for. Some questions may give a dotted line indicating the mirror line – if not, first try imagining the mirror line as a vertical line to the right of the shape, or sometimes the mirror line, or line of reflection, may be a horizontal line above or below the shape. In particular, look carefully at the angle or direction of any shading lines.
11 c & e 12 c & d
To find the solutions to these questions first check obvious elements and eliminate some options, then look carefully at the detail, remembering that shapes can be rotated.
13 e Diagonally opposite squares in the grid are reflections of each other, so the bottom right square must be a reflection of the top left, imagining the mirror line going diagonally across the centre of the grid – so there will be a white smaller square with a black circle in the top left and a small black triangle across the bottom right.
14 c In the grid, the circle within a smaller triangle has the same shading pattern as its adjacent triangle – the only triangular shading not represented is white so the missing triangle must have a white circle within it.
15 b The two white circles are on faces that will be opposite each other in the folded cube so cannot be adjacent.
16 c It is the point of the heart shape that is next to the face with the white circle, not the top of the heart, so the answer cannot be c.
17 d This is harder to visualise but in the net there are not any U-shapes in the same orientation that will be on adjacent faces, so d is not possible.
If you find these cube puzzles hard, make a net and fold it up to see which faces end up adjacent.
18 d Looking at the first letter, the two patterns with C have same arrow head, so first letter is for arrowhead style (B), the two patterns with Y both have one black circle each (and the other patterns have more or less) so the second letter is for the number of black circles (Z is for 2).
19 d The patterns with same first letter are triangular flags so the first letter is for shape of flag (L for zigzag edge) and the second letter is for shape on flag (Q for triangle).
Non-verbal Reasoning
Main Q head
1 numbered answer
20 c The two patterns with A have a circle in the same position, so first letter must be position. The unknown pattern has a circle in a new position so may need a new letter. Check there are no other options – the only other variable in these patterns is the type of shading – the second letter is for shading type, so X is for white. Is there an option of a new fourth letter with an X? Yes – DX, so that is correct answer.
21 c 22 c
Combining shapes questions just require very careful observation – use a pencil to trace over each element in each pattern if you find these hard to solve.
23 QCY These more challenging codes require you to identify three features and then the correct letter – here the two shapes with P both have same arrowhead, so the first letter is for arrowhead (Q in end shape). The two with B both have white double line arrows so the letter is for arrow style (C in end shape). The two shapes with Y are both pointing anticlockwise and the two with Z are pointing clockwise (Y in end shape).
24 EAT All three have a different first letter – and all three have a different pattern on the shield. The second letter is shield shape (A for end shape) and the third letter is for pattern along top edge, plain bar or zigzag, (so T for end shape). Back to the first letter – the end shape has a pattern matching the second shield drawn, so the first letter of code is E.
25 EMS The two shapes with G both have one black circle so the first the letter is for number of black circles (E for end shape). Patterns with L both have one cross so the second letter is for number of crosses (M for end shape). The two patterns with S both have black shaded squares so the third letter is for shading of the squares (S for end pattern).
1 hutch: this is where domesticated rabbits live.
2 eggs: these can be whisked and are cake ingredients.
3 mobility: a walking stick can help with balance and movement. A person who needs help with visibility would use a white stick or a cane.
4 ebbed: waves ebb and flow.
5 pharmacist: doctors or medics prescribe, but not supply, medication.
6 Tomorrow: the day after yesterday is today and the day after today must be tomorrow.
7 primates: all monkeys are primates.
8 courteous: this means well mannered or polite.
9 competition, participants 10 displayed, classroom 11 desert, scorching 12 pushchair, difficulty 13 scored, winning
14 edges, together 15 restaurant, Thursday 16 telescope
17 bread 18 surgeons 19 cygnets 20 capital 21 architect 22 flag 23 eye
24 climbed, shelter 25 play, console 26 awkward, parcels 27 fireworks, illuminated 28 laptop, computer 29 windmills, power 30 returned, borrowed
Cloze
Bond
11+ Test Papers
Paper Set 1 Answers
Designed to support CEM (University of Durham) tests
Paper 2a
This book contains:
■ Answers with explanations, where applicable, for Test Paper 2a
■ Answers with explanations, where applicable, for Test Paper 2b
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Opposite words
6 flanking excessive 7 concerned responsive 8 rivalry determined 9 whispering gullible 10 bewildered stretching
Matching words
enclosure. OR The tortoise slowly plodded into her enclosure.18 pink Red, orange, yellow, green, blue, indigo and violet are the colours of the rainbow.
19 the The Canary Islands are off the west coast of Africa. OR Off the west coast of Africa are the Canary Islands.
20 clever Many buildings in England were constructed in the Tudor times. OR In the Tudor times, many buildings were constructed in England.