iPrepGenius
← All CogAT grades

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: AIRPLANE is to AIR as SUBWAY is to ___
  1. Arails
  2. Bpath
  3. Cramp
  4. Dsnow
Show answer & explanation

Correct answer: A

A airplane travels on a air, and a subway travels on rails.

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: 12 → 19 ; 11 → 18 ; 13 → ___
  1. A21
  2. B22
  3. C20
  4. D19
Show answer & explanation

Correct answer: C

The rule is: each number increases by 7. So 13 → 20.

Question 4Number Series
What number comes next? 154, 145, 136, 127, ___
  1. A120
  2. B117
  3. C119
  4. D118
Show answer & explanation

Correct answer: D

Each number goes down by 9.

Question 5Figure Matrices
Which figure comes next?
?
  1. A
  2. B
  3. C
  4. D
Show answer & explanation

Correct answer: A

The circle grows by the same amount each step.

Want to know if your child would pass the real thing?

The free CogAT diagnostic tests every section and shows a skill-by-skill readiness picture in minutes.

Start free diagnostic
Question 6Paper Folding
This paper was folded in half — the bottom folds onto the top along the dashed line. Then holes were punched where you see the dots. What does the paper look like when fully unfolded?
  1. A
  2. B
  3. C
  4. D
Show answer & explanation

Correct answer: A

Every hole copies across each fold line like a mirror. 1 hole through 2 layers makes 2 holes when unfolded.

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
What number should replace the question mark to make this true? ? = ▲ + 20 and ▲ = 11
  1. A31
  2. B32
  3. C30
  4. D29
  5. E33
Show answer & explanation

Correct answer: A

First find ▲ = 11. Then ? = 11 + 20 = 31.

Question 9Figure Classification
Look at the first three figures. They belong together in some way. Which answer choice belongs with them?
  1. A
  2. B
  3. C
  4. D
  5. E
Show answer & explanation

Correct answer: A

The first three figures go together because they all show the same number of shapes. Only the correct choice matches that rule.

Question 10Verbal Analogies
Complete the analogy: LION is to DEN as ANT is to ___
  1. Ahive
  2. Bnest
  3. Canthill
  4. Dcave
Show answer & explanation

Correct answer: C

A lion lives in a den, and a ant lives in a anthill.

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

Grade 3Grade 4Grade 5Grade 6Parent's guide to the CogAT →

Ready for the full prep experience?

Adaptive daily practice, an AI tutor on every question, and a readiness score calibrated to CogAT standards. Free for a month — no credit card.

Start free
Free weekly CogAT practice question

One practice question + one practical tip each week, matched to gifted & admissions testing. No sales pitch — unsubscribe anytime.

Double opt-in. We never sell your email. One-click unsubscribe.

CogAT is a trademark of its respective owner. iPrepGenius is an independent study resource and is not affiliated with or endorsed by any test publisher. Our practice materials are original.