Grade 2CogAT Level 8

Free CogAT Practice Test for Grade 2

Free Grade 2 CogAT practice test with answers and explanations for figural, quantitative, and nonverbal questions.

1. Figural Analogies

Grade 2 figural analogies question. A three-by-three orange and white grid rotates a quarter turn clockwise. A second orange and white grid must follow the same rule. Choices A through D show different grid arrangements.
Show answer and explanation for question 1

Answer B. The first grid rotates one quarter turn clockwise. Rotating the second grid the same way puts orange squares in the left and right corners, with the other squares matching B.

2. Figural Analogies

Grade 2 figural analogies question. A blue and white five-by-five checkerboard swaps its colors. A green and black three-by-three pattern must follow the same rule. Choices A through D show different color patterns.
Show answer and explanation for question 2

Answer A. Every blue square becomes white, and every white square becomes blue. Applying the same color swap to the green and black pattern makes each green square black and each black square green. This gives A.

3. Classification

Grade 2 classification question asking which object does not belong. A is a striped shirt, B a zebra, C a solid blue scarf, and D a striped barber pole.
Show answer and explanation for question 3

Answer C. The shirt, zebra, and barber pole are striped. The solid blue scarf is the only object without stripes, so C does not belong.

4. Figural Analogies

Grade 2 figural analogies question. A green trapezoid containing a blue circle becomes a blue circle containing an upside-down green trapezoid. A black triangle containing an orange trapezoid must follow the same rule. Choices A through D show different shape, color, and direction combinations.
Show answer and explanation for question 4

Answer B. The inner and outer shapes switch places, then the shape moved inside flips vertically. The orange trapezoid moves outside, and the black triangle moves inside and points down. This gives B.

5. Figural Analogies

Grade 2 figural analogies question. A large notched green shape becomes two smaller inverted shapes. Two green triangles must change by the same rule. Choices A through D show different counts and directions of triangles.
Show answer and explanation for question 5

Answer B. The first pair adds one shape and flips every shape upside down. Apply both changes to the second pair: two upward triangles become three downward triangles. This gives B.

6. Number Series

Grade 2 number series question. Bead strings show six beads, three beads, five beads, and two beads. Choices A through D show strings with five, four, two, or one bead.
Show answer and explanation for question 6

Answer B. The pattern alternates between subtracting 3 and adding 2: 6, 3, 5, 2. The next step adds 2, making 4 beads. This gives B.

7. Picture Analogies

Grade 2 picture analogy question. Ice cream is paired with a tongue, and a flower must be paired with the matching sense organ. Choices are a nose, tongue, spider web, and ear.
Show answer and explanation for question 7

Answer A. The first pair matches an object with the sense used for it: you taste ice cream with your tongue. You smell a flower with your nose, so A completes the same relationship.

8. Paper Folding

Grade 2 paper folding question. A square is folded vertically and then horizontally before one hole is punched. Choices A through D show different hole patterns after unfolding.
Show answer and explanation for question 8

Answer C. Each fold reflects the punched hole. Unfolding across both folds creates four matching holes, one near each corner. This matches C.

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