Grade 2Mixed Reasoning

Free Gifted & Talented (GATE) Practice Test for Grade 2

Free Grade 2 Gifted & Talented (GATE) practice test with answers and explanations across quantitative and nonverbal reasoning.

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. Matrices

Grade 2 matrices question. An orange circle containing a green square becomes a green square containing an orange circle. A white circle containing a black pentagon must change in the same way. Choices A through D show different circle and pentagon arrangements.
Show answer and explanation for question 3

Answer C. The inner and outer shapes switch places while keeping their colors. The black pentagon moves outside, and the white circle moves inside it. This gives C.

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. 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 5

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.

6. Pattern Completion

Grade 2 pattern completion question. A repeating orange, green, and black triangle design has one rectangular piece missing. Choices A through D show different pattern fragments.
Show answer and explanation for question 6

Answer B. The diagonal bands and triangle colors must continue across the missing space. Only B connects the shapes and colors correctly at every edge.

7. 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 7

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.

8. 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 8

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.

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