Free CogAT Grade 2 practice test
Original Level 8 style questions across all nine CogAT subtests, with worked explanations and a printable PDF.
Download the printable CogAT Grade 2 PDF
The PDF includes the same 18 questions plus an answer key. Print it on letter paper and use it in short sessions.
Download CogAT Grade 2 PDF →What makes Grade 2 practice different
Riverside's public Level 8 descriptions are still young-student friendly: picture analogies, picture classification, teacher-read sentence completion, bead-style number series, and visual nonverbal problems. That is why this page uses more pictures than an upper-level CogAT sample set.
This page does not reproduce publisher items, scoring tables, or norm charts. It gives a bounded set of original practice tasks for learning how to notice relationships.
Work through the practice set
Verbal Battery
Level 8 verbal items are mostly picture-based. Sentence completion is parent-read here, matching the teacher-read format.
Picture Analogies
Mitten is to hand as shoe is to what?
- foot
- hand
- book
- umbrella
Show worked solution
Answer: A. A mitten goes on a hand. A shoe goes on a foot, so A completes the same relationship.
Nest is to bird as doghouse is to what?
- dog
- bird
- shoe
- apple
Show worked solution
Answer: A. A nest is a place for a bird. A doghouse is a place for a dog, so A matches.
Sentence Completion
Parent-read: When rain started, Lena opened her ___.
- umbrella
- spoon
- shoe
- book
Show worked solution
Answer: A. An umbrella is opened when it rains. The other pictures do not complete the sentence as naturally.
Parent-read: To stir soup, the cook picked up a ___.
- book
- spoon
- umbrella
- nest
Show worked solution
Answer: B. A spoon is used to stir soup, so B is the picture that completes the sentence.
Picture Classification
The three pictures marked Set go together. Which answer belongs with them?
- car
- orange
- book
- shoe
Show worked solution
Answer: B. Apple, banana, and pear are fruits. Orange is also a fruit, so B belongs with the set.
The three pictures marked Set go together. Which answer belongs with them?
- pear
- hand
- boat
- spoon
Show worked solution
Answer: C. A car, bus, train, and boat are all vehicles. C belongs with the group.
Quantitative Battery
These items focus on number relationships, missing numbers, and bead-style series rules.
Number Analogies
[2 → 4] [3 → 6] [5 → ?]
- 7
- 8
- 10
- 12
Show worked solution
Answer: C. Each number is doubled. 5 doubled is 10.
[9 → 6] [7 → 4] [5 → ?]
- 1
- 2
- 3
- 4
Show worked solution
Answer: B. Each number goes down by 3. 5 - 3 = 2.
Number Puzzles
6 + ? = 11
- 4
- 5
- 6
- 7
Show worked solution
Answer: B. 11 - 6 = 5, so 6 + 5 = 11.
? − 3 = 4
- 1
- 5
- 7
- 8
Show worked solution
Answer: C. The starting number must be 7 because 7 − 3 = 4.
Number Series
3, 6, 9, 12, ?
- 13
- 14
- 15
- 18
Show worked solution
Answer: C. The series adds 3 each time. 12 + 3 = 15.
2, 4, 8, 16, ?
- 20
- 24
- 30
- 32
Show worked solution
Answer: D. Each number doubles. 16 doubled is 32.
Nonverbal Battery
These visual items ask children to track shape, position, folding, and category rules.
Figure Matrices
Complete the matrix.
Show worked solution
Answer: A. Across the top row, the circle stays a circle and becomes filled. Apply the same rule to the square: it should become a filled square.
Complete the matrix.
Show worked solution
Answer: B. The top row changes shape to a diamond but keeps the same color. The bottom row should become a diamond and keep its blue color.
Paper Folding
The paper is folded in half and one hole is punched near the fold. What does it look like when opened?
Show worked solution
Answer: B. The punch went through both layers of the folded paper. When it opens, the second hole appears on the other side of the fold, the same distance from the fold line, so there are two holes, one on each side.
The paper is folded in half and one corner is clipped. What does it look like when opened?
Show worked solution
Answer: A. The clip cut through both layers. The fold runs side to side, so when the paper opens the second clip is mirrored straight down, at the bottom-left corner.
Figure Classification
The three figures marked Set go together. Which answer belongs with them?
Show worked solution
Answer: A. The figures in the set have different shapes, but none is filled. A is the only unfilled answer shape.
The three figures marked Set go together. Which answer belongs with them?
Show worked solution
Answer: C. Squares and diamonds have four sides. The diamond in C also has four sides; the circle has none, the triangle three and the hexagon six. C belongs with the set.
Use the right page for the right question
CogAT Grade 2 practice questions
Are these actual CogAT questions?
No. These are original CogAT-style practice questions written for Reasonwell Press. They are not actual test questions and are not copied from a product item bank.
Why does Grade 2 CogAT practice use pictures?
Riverside describes Level 8 verbal items such as Picture Analogies and Picture Classification, and Level 8 sentence completion is teacher-read. This set keeps that younger-grade format in mind.
Should my child take the whole PDF at once?
Usually no. Use one battery or one subtest at a time, then open the answer key and talk through the rule calmly.
Does this PDF predict a CogAT score?
No. It is for format familiarity and reasoning discussion. CogAT scores are normed publisher scores, and districts decide how to use them.
Sources used for format context
The questions are original. These official sources were used only to confirm public format and score-context facts.
Get the free CogAT sample pack
Five color workbook pages across picture, number and spatial reasoning, with explained answers.
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CogAT® and Cognitive Abilities Test™ are trademarks or registered trademarks of Riverside Assessments, LLC (Riverside Insights), used here for identification purposes only. Reasonwell Press is independent and is not affiliated with, endorsed by, sponsored by, or licensed by Riverside Insights, and Riverside Insights was not involved in producing our materials. Our practice materials are original CogAT®-style items, not actual test questions, and do not guarantee any score or placement outcome.