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Free CogAT Practice Test — Grade 2

Real-format sample questions with answers and explanations, matched to the grade 2 CogAT.

In grades 2–3 (CogAT Levels 8–9), students read short questions themselves. Expect skip-counting series, simple analogies, and figure puzzles with one or two changes. The CogAT has three batteries — Verbal, Quantitative, and Nonverbal — and the samples below include all three. Every question follows the official format: five answer choices, one correct answer.

Grade 2 sample questions

Verbal · Sentence Completion easy

Question 1. The opposite of happy is ___.

  1. Asad
  2. Bcold
  3. Cslow
  4. Dsmall
  5. Edown
Show answer & explanation
Answer: A — sad. happy and sad are opposites.
Verbal · Sentence Completion medium

Question 2. The opposite of float is ___.

  1. Aquiet
  2. Blight
  3. Csink
  4. Dfull
  5. Erough
Show answer & explanation
Answer: C — sink. float and sink are opposites.
Quantitative · Number Series easy

Question 3. What number comes next? 45 40 35 30 25 ▢

  1. A30
  2. B21
  3. C20
  4. D15
  5. E25
Show answer & explanation
Answer: C — 20. The pattern is subtract 5 each time. 25 − 5 = 20.
Quantitative · Number Series medium

Question 4. What number comes next? 15 25 35 45 55 ▢

  1. A65
  2. B66
  3. C75
  4. D45
  5. E55
Show answer & explanation
Answer: A — 65. The pattern is add 10 each time. 55 + 10 = 65.
Nonverbal · Figure Matrices easy

Question 5. Look at how the top figure changes from the first box to the second box. Choose the picture that belongs in the empty space.

?
  1. A
  2. B
  3. C
  4. D
  5. E
Show answer & explanation
Answer: D. In the top row, the shape gets smaller. The same change must happen to the bottom figure.
Nonverbal · Figure Matrices hard

Question 6. Look at how the top figure changes from the first box to the second box. Choose the picture that belongs in the empty space.

?
  1. A
  2. B
  3. C
  4. D
  5. E
Show answer & explanation
Answer: A. In the top row, the shape shrinks AND is doubled. The same change must happen to the bottom figure.