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CogAT · Grade 2 practice

Free CogAT Grade 2 practice test

Original Level 8 style questions across all nine CogAT subtests, with worked explanations and a printable PDF.

Printable

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 →
Level 8 format

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.

Questions

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

PA1
Mitten is to hand as shoe is to what?
? same relationship A B C D
  1. foot
  2. hand
  3. book
  4. umbrella
Show worked solution

Answer: A. A mitten goes on a hand. A shoe goes on a foot, so A completes the same relationship.

PA2
Nest is to bird as doghouse is to what?
? same relationship A B C D
  1. dog
  2. bird
  3. shoe
  4. 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

SC1
Parent-read: When rain started, Lena opened her ___.
A B C D
  1. umbrella
  2. spoon
  3. shoe
  4. book
Show worked solution

Answer: A. An umbrella is opened when it rains. The other pictures do not complete the sentence as naturally.

SC2
Parent-read: To stir soup, the cook picked up a ___.
A B C D
  1. book
  2. spoon
  3. umbrella
  4. nest
Show worked solution

Answer: B. A spoon is used to stir soup, so B is the picture that completes the sentence.

Picture Classification

PC1
Three pictures are fruits. Which answer belongs with them?
Set Set Set A B C D
  1. car
  2. orange
  3. book
  4. shoe
Show worked solution

Answer: B. Apple, banana, and pear are fruits. Orange is also a fruit, so B belongs with the set.

PC2
Three pictures are vehicles. Which answer belongs with them?
Set Set Set A B C D
  1. pear
  2. hand
  3. boat
  4. 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

NA1
[2 -> 4] [3 -> 6] [5 -> ?]
  1. 7
  2. 8
  3. 10
  4. 12
Show worked solution

Answer: C. Each number is doubled. 5 doubled is 10.

NA2
[9 -> 6] [7 -> 4] [5 -> ?]
  1. 1
  2. 2
  3. 3
  4. 4
Show worked solution

Answer: B. Each number goes down by 3. 5 - 3 = 2.

Number Puzzles

NP1
6 + ? = 11
  1. 4
  2. 5
  3. 6
  4. 7
Show worked solution

Answer: B. 11 - 6 = 5, so 6 + 5 = 11.

NP2
? - 3 = 4
  1. 1
  2. 5
  3. 7
  4. 8
Show worked solution

Answer: C. The starting number must be 7 because 7 - 3 = 4.

Number Series

NS1
3, 6, 9, 12, ?
  1. 13
  2. 14
  3. 15
  4. 18
Show worked solution

Answer: C. The series adds 3 each time. 12 + 3 = 15.

NS2
2, 4, 8, 16, ?
  1. 20
  2. 24
  3. 30
  4. 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

FM1
Complete the matrix.
? A B C D
  1. filled square
  2. filled triangle
  3. unfilled square
  4. filled circle
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.

FM2
Complete the matrix.
? A B C D
  1. blue circle
  2. blue diamond
  3. blue triangle
  4. yellow square
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

PF1
The paper is folded in half and one hole is punched near the fold. What does it look like when opened?
fold punch open A B C D
  1. one center hole
  2. two matching holes near the fold
  3. one square mark
  4. one triangle mark
Show worked solution

Answer: B. A vertical fold mirrors the punched hole to the other side, so the opened paper has two matching holes near the fold line.

PF2
The paper is folded in half and one corner is clipped. What does it look like when opened?
fold clip open A B C D
  1. two matching corner clips
  2. one square mark
  3. one diamond mark
  4. one round hole
Show worked solution

Answer: A. The horizontal fold mirrors the clipped corner. When the paper opens, the matching clip appears on both folded layers.

Figure Classification

FC1
The three target figures are all unfilled shapes. Which answer belongs with them?
Set Set Set A B C D
  1. unfilled diamond
  2. filled circle
  3. filled square
  4. filled triangle
Show worked solution

Answer: A. The target figures have different shapes, but none is filled. A is the only unfilled answer shape.

FC2
The three target figures all have four sides. Which answer belongs with them?
Set Set Set A B C D
  1. circle
  2. triangle
  3. diamond
  4. circle
Show worked solution

Answer: C. Squares and diamonds are four-sided figures. C is also a four-sided figure, so it belongs with the set.

CogAT cluster

Use the right page for the right question

GuideWhat is the CogAT?

The parent overview of batteries, score types, and calm prep.

 ScoresCogAT scores explained

SAS, percentiles, stanines, profiles, and district-dependent meaning.

 SamplesQuick sample questions

A shorter broad sample set for families who are not looking for the Grade 2 PDF.
FAQ

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

Sources used for format context

The questions are original. These official sources were used only to confirm public format and score-context facts.

  1. Riverside Insights — CogAT test descriptions
  2. Riverside Insights — CogAT score descriptions
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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.