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Free CogAT practice test — Grade 2

10 original CogAT-style questions for Grade 2, with answers and full explanations. No signup needed.

These free CogAT-style practice questions cover all three batteries — Verbal, Quantitative, and Nonverbal — at the level your child will see on test day.

Every question is original, written to the real format, and includes a full explanation. Work through them together, then take the free diagnostic for a complete skill-by-skill readiness picture.

Question 1Verbal Analogies
Complete the analogy: CHEF is to KITCHEN as SAILOR is to ___
  1. Abakery
  2. Bship
  3. Ccockpit
  4. Dstage
Show answer & explanation

Correct answer: B

The relationship is "worker to their workplace." chef → kitchen, so sailor → ship.

Question 2Sentence Completion
The librarian asked us to speak in a ____ so we would not disturb the readers.
  1. Awhisper
  2. Bshout
  3. Csong
  4. Dmessage
  5. Epoem
Show answer & explanation

Correct answer: A

A whisper is a very quiet voice, perfect for a library.

Question 3Number Analogies
Find the missing number: 3 → 6 ; 5 → 8 ; 9 → ___
  1. A12
  2. B16
  3. C13
  4. D11
Show answer & explanation

Correct answer: A

Each number increases by 3. 9 + 3 = 12.

Question 4Number Series
What number comes next? 38, 32, 26, 20, ___
  1. A11
  2. B14
  3. C16
  4. D10
Show answer & explanation

Correct answer: B

The pattern subtracts 6 each time. 20 − 6 = 14.

Question 5Figure Matrices

Look at how the first figure changes into the second. Which answer changes the bottom figure the same way?

?
  1. A
  2. B
  3. C
  4. D
  5. E
Show answer & explanation

Correct answer: A

In the top row, the figure shrinks. Applying the same change to the bottom figure gives A. The others each make a specific mistake: B the bottom figure with no rule applied; C copies the top row's result instead of transforming the bottom figure; D applies a different rule than the top row shows; E right change, wrong figure shape.

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Question 6Paper Folding

The square paper is folded in half from the top down, and holes are punched through all layers. Which answer shows the paper unfolded?

  1. A
  2. B
  3. C
  4. D
  5. E
Show answer & explanation

Correct answer: E

Unfold the paper step by step, mirroring every hole across each crease in reverse order. 1 punch through 2 layers leaves 2 holes. The other sheets each draw a specific mistake: A doubled the count without the on-crease merge; B mirrored across the wrong axis; C shows only the punched folded sheet — never unfolded the paper; D one hole drifted off its mirrored position.

Question 7Verbal Classification
These three words go together in some way: truck, van, jeep. Which word belongs with them?
  1. Ameter
  2. Bloafers
  3. Cbus
  4. Dhook
  5. Ewrist
Show answer & explanation

Correct answer: C

truck, van, jeep are all vehicles. Bus is also one of the vehicles, so it belongs in the group.

Question 8Number Puzzles

The two sides must have the same number of shapes. How many shapes belong in the empty box?

+
?
=
  1. A
  2. B
  3. C
Show answer & explanation

Correct answer: A

3 + 2 = 5, so the empty box needs 2 shapes. The others: B one too few; C one too many.

Question 9Figure Classification

The three figures below are alike in one way. Which answer figure belongs with them?

  1. A
  2. B
  3. C
  4. D
  5. E
Show answer & explanation

Correct answer: D

What the three figures share: all figures are the same shape. D shares it too. The others don't: A a different shape from the shared one; B does not share the property; C solid black instead of the shared property; E does not share the property.

Question 10Verbal Analogies
Complete the analogy: DUCK is to QUACK as CAT is to ___
  1. Ameow
  2. Broar
  3. Coink
  4. Dbaa
Show answer & explanation

Correct answer: A

The relationship is "animal to the sound it makes." duck → quack, so cat → meow.

CogAT FAQ

How many questions are on the real CogAT?

A full CogAT has 118–176 questions depending on level, split across the Verbal, Quantitative, and Nonverbal batteries. Younger levels have fewer questions with teacher-read instructions.

What score does my child need for a gifted program?

Most programs look for a composite around the 95th–98th percentile, but cutoffs vary by district — check your program's exact requirement.

Are these real CogAT questions?

No — they're original practice questions written to match the CogAT's question types, difficulty, and pacing. Real test items are confidential; anyone selling 'real questions' should be avoided.

More free CogAT practice

KindergartenGrade 1Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8🖨️ Printable Grade 2 pack (PDF) →Parent's guide to the CogAT →

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