Practice Paper Folding questions for the Cognitive Abilities Test — Grade 5 (Level 11). Every question includes a full explanation of why the correct answer is right and why the tempting distractors are wrong.
21 questions available · medium difficulty · CogAT Grade 5 · Free, no registration required
What Paper Folding measures
A square of paper is folded one or more times, a hole is punched through all the layers at once, and the paper is opened flat again. The child chooses the pattern of holes that results. It is a test of spatial visualisation, and it is one of the few things on the CogAT that genuinely improves with practice, because most children have simply never been asked to do it before.
What a grade 5 paper folding question looks like
Diagonal folds appear, and they change the strip's look immediately - a triangle rather than a rectangle after folding. Items mix a straight fold with a diagonal one, and the answer choices start including patterns that would be right if the folds had been undone in the order they were made.
At level 11 — grade 5
Level 11 introduces diagonal folds, and they change the task qualitatively - a hole reflected across a diagonal moves somewhere genuinely hard to picture. Expect a child who was comfortable at grade 4 to slow down noticeably here. That is the format changing, not the child regressing.
Where children go wrong
Losing track across a diagonal fold
A diagonal crease sends a hole to a position that is not simply left, right, up or down from where it started, and mental imagery tends to fail here first. When a diagonal fold appears in an item, it is usually the step where an otherwise capable child goes wrong.
Unfolding in the wrong order
The paper opens in reverse: the last fold made is the first one undone. Working forwards through the folds instead produces a pattern that is often symmetric and entirely plausible-looking, which is exactly why it sits among the wrong answers.
Reflecting across the wrong line
Each hole reappears on the far side of the crease, mirrored. Children often slide the hole straight across instead - keeping it the same distance from the edge rather than the same distance from the fold. The two only coincide when the hole sits dead centre, which is why easier items place it there and harder ones never do.
How to practise this at home
Real paper still helps, but the goal at this level is a method rather than a feel. Teach your child to work backwards - undo the last fold first, mirroring every hole across that crease, then the fold before it - and to do it without writing anything, since the real test allows no marking. Practise items with diagonal folds specifically; that is where the marks go, and it is what most free practice material leaves out.
Common questions about Paper Folding
Is there a reliable method, or is it just visualisation?
There is a method: unfold in reverse order, mirroring every existing hole across each crease as you undo it. Strong visualisers can skip it on easy items, but on three-fold items with mixed directions the method beats intuition consistently.
How long should one item take?
The real test runs at roughly half a minute per question across the battery. Paper folding items usually deserve a little more than that, funded by moving faster through the classification items, which tend to resolve quickly or not at all.
Does practice actually raise the score?
Familiarity does. A child meeting this format for the first time under time pressure will underperform what they can do, and closing that gap is real. What practice does not do is change underlying spatial ability, and no honest preparation claims otherwise.
Sample Paper Folding Questions with Answers
10 example questions with full explanations. Use the interactive practice above to work through the complete set.
Question 1medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 4 holes: top far left, upper middle centre left, lower middle centre left, bottom far left✓
B.a sheet of paper with 2 holes: top far left, upper middle centre left
C.a sheet of paper with 4 holes: top far right, upper middle centre right, lower middle centre right, bottom far right
D.a sheet of paper with 4 holes: top far left, top far right, upper middle centre left, upper middle centre right
Correct answer: A
The paper is folded once — the bottom folds up over the top — so the sheet ends up 2 layers thick. Punching 2 holes goes through all 2 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option A is the only choice with 4 holes placed symmetrically about every fold. Option B shows the holes only where the punch went through, as if the paper were never opened out. Option D has the right number of holes but mirrors them across the wrong fold. Option C is the correct pattern flipped left-to-right.
Question 2medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 4 holes: top centre left, upper middle centre left, lower middle centre left, bottom centre left
B.a sheet of paper with 1 hole: lower middle centre right
C.a sheet of paper with 4 holes: lower middle far left, lower middle centre left, lower middle centre right, lower middle far right
D.a sheet of paper with 4 holes: top centre right, upper middle centre right, lower middle centre right, bottom centre right✓
Correct answer: D
The paper is folded 2 times — the top folds down over the bottom, then the bottom folds up over the top — so the sheet ends up 4 layers thick. Punching one hole goes through all 4 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option D is the only choice with 4 holes placed symmetrically about every fold. Option B shows the holes only where the punch went through, as if the paper were never opened out. Option C has the right number of holes but mirrors them across the wrong fold. Option A is the correct pattern flipped left-to-right.
Question 3medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 2 holes: top far right, upper middle far left
B.a sheet of paper with 4 holes: top far left, upper middle far right, lower middle far right, bottom far left
C.a sheet of paper with 4 holes: top far right, upper middle far left, lower middle far left, bottom far right✓
D.a sheet of paper with 4 holes: top far left, top far right, upper middle far left, upper middle far right
Correct answer: C
The paper is folded once — the bottom folds up over the top — so the sheet ends up 2 layers thick. Punching 2 holes goes through all 2 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option C is the only choice with 4 holes placed symmetrically about every fold. Option A shows the holes only where the punch went through, as if the paper were never opened out. Option D has the right number of holes but mirrors them across the wrong fold. Option B is the correct pattern flipped left-to-right.
Question 4medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 4 holes: bottom far left, bottom centre left, bottom centre right, bottom far right
B.a sheet of paper with 4 holes: top far right, upper middle far right, lower middle far right, bottom far right✓
C.a sheet of paper with 1 hole: bottom far right
D.a sheet of paper with 4 holes: top far left, upper middle far left, lower middle far left, bottom far left
Correct answer: B
The paper is folded 2 times — the top folds down over the bottom, then the same fold again — so the sheet ends up 4 layers thick. Punching one hole goes through all 4 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option B is the only choice with 4 holes placed symmetrically about every fold. Option C shows the holes only where the punch went through, as if the paper were never opened out. Option A has the right number of holes but mirrors them across the wrong fold. Option D is the correct pattern flipped left-to-right.
Question 5medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 4 holes: top far left, top far right, upper middle far left, upper middle far right
B.a sheet of paper with 4 holes: lower middle far left, lower middle far right, bottom far left, bottom far right✓
C.a sheet of paper with 4 holes: top far left, upper middle far left, lower middle far left, bottom far left
D.a sheet of paper with 2 holes: lower middle far left, bottom far left
Correct answer: B
The paper is folded once — the right side folds over onto the left — so the sheet ends up 2 layers thick. Punching 2 holes goes through all 2 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option B is the only choice with 4 holes placed symmetrically about every fold. Option D shows the holes only where the punch went through, as if the paper were never opened out. Option C has the right number of holes but mirrors them across the wrong fold. Option A is the correct pattern flipped top-to-bottom.
Question 6medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 4 holes: bottom far left, bottom centre left, bottom centre right, bottom far right
B.a sheet of paper with 4 holes: top far left, upper middle far left, lower middle far left, bottom far left
C.a sheet of paper with 1 hole: top far left
D.a sheet of paper with 4 holes: top far left, top centre left, top centre right, top far right✓
Correct answer: D
The paper is folded 2 times — the right side folds over onto the left, then the same fold again — so the sheet ends up 4 layers thick. Punching one hole goes through all 4 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option D is the only choice with 4 holes placed symmetrically about every fold. Option C shows the holes only where the punch went through, as if the paper were never opened out. Option B has the right number of holes but mirrors them across the wrong fold. Option A is the correct pattern flipped top-to-bottom.
Question 7medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 4 holes: upper middle far left, upper middle centre left, lower middle far left, lower middle centre left
B.a sheet of paper with 4 holes: upper middle far left, upper middle far right, lower middle centre left, lower middle centre right✓
C.a sheet of paper with 4 holes: upper middle centre left, upper middle centre right, lower middle far left, lower middle far right
D.a sheet of paper with 2 holes: upper middle far left, lower middle centre left
Correct answer: B
The paper is folded once — the right side folds over onto the left — so the sheet ends up 2 layers thick. Punching 2 holes goes through all 2 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option B is the only choice with 4 holes placed symmetrically about every fold. Option D shows the holes only where the punch went through, as if the paper were never opened out. Option A has the right number of holes but mirrors them across the wrong fold. Option C is the correct pattern flipped top-to-bottom.
Question 8medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 4 holes: top far left, upper middle far left, lower middle far left, bottom far left
B.a sheet of paper with 4 holes: top far right, upper middle far right, lower middle far right, bottom far right✓
C.a sheet of paper with 4 holes: bottom far left, bottom centre left, bottom centre right, bottom far right
D.a sheet of paper with 1 hole: upper middle far right
Correct answer: B
The paper is folded 2 times — the bottom folds up over the top, then the top folds down over the bottom — so the sheet ends up 4 layers thick. Punching one hole goes through all 4 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option B is the only choice with 4 holes placed symmetrically about every fold. Option D shows the holes only where the punch went through, as if the paper were never opened out. Option A is the correct pattern flipped left-to-right. Option C has the right number of holes but the pattern is given a quarter turn.
Question 9medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 2 holes: upper middle far right, lower middle centre right
B.a sheet of paper with 4 holes: upper middle centre right, upper middle far right, lower middle centre right, lower middle far right
C.a sheet of paper with 4 holes: upper middle far left, upper middle far right, lower middle centre left, lower middle centre right✓
D.a sheet of paper with 4 holes: upper middle centre left, upper middle centre right, lower middle far left, lower middle far right
Correct answer: C
The paper is folded once — the left side folds over onto the right — so the sheet ends up 2 layers thick. Punching 2 holes goes through all 2 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option C is the only choice with 4 holes placed symmetrically about every fold. Option A shows the holes only where the punch went through, as if the paper were never opened out. Option B has the right number of holes but mirrors them across the wrong fold. Option D is the correct pattern flipped top-to-bottom.
Question 10medium
The paper is folded, then holes are punched through it. Which picture shows the paper when it is opened out again?
A.a sheet of paper with 4 holes: upper middle far left, upper middle centre left, lower middle far left, lower middle centre left
B.a sheet of paper with 4 holes: upper middle centre left, upper middle centre right, lower middle centre left, lower middle centre right✓
C.a sheet of paper with 1 hole: lower middle centre right
D.a sheet of paper with 4 holes: upper middle centre right, upper middle far right, lower middle centre right, lower middle far right
Correct answer: B
The paper is folded 2 times — the left side folds over onto the right, then the top folds down over the bottom — so the sheet ends up 4 layers thick. Punching one hole goes through all 4 layers at once, so opening the paper out gives 4 holes in total, each fold mirroring the ones before it. Option B is the only choice with 4 holes placed symmetrically about every fold. Option C shows the holes only where the punch went through, as if the paper were never opened out. Option D has the right number of holes, shifted one column across. Option A has the right number of holes, shifted one column back.