A square is rotated 90° clockwise. If the original square has a dot in the top-left corner, where is the dot after rotation?
Spatial Reasoning
Question · Easy
IQ test: finish the series
Short
Which letter completes the pattern: A, C, F, J, ___?
Question · Medium
A 3×3 grid must be filled so each row sums to 12. Row 1 is [4, 5, 3]. Row 2 is [6, ?, 2]. What number replaces the question mark?
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If you fold a piece of paper in half twice and punch one hole through all layers, how many holes appear when the paper is fully unfolded?
Which number comes next in the series: 2, 6, 12, 20, 30, ___?
A cube is painted red on all faces, then cut into 27 equal smaller cubes (3×3×3). How many small cubes have exactly two red faces?
Question · Hard
In a 4×4 grid (16 squares), you place L-shaped tiles covering 3 squares each with no overlap. What is the maximum number of complete L-tiles?
Which shape is the mirror image of the letter 'b' reflected across a vertical axis?
Complete the matrix: Row 1 is [Circle, Square, Triangle]. Row 2 is [Square, Triangle, Circle]. What is the first symbol in Row 3?
A clock shows 3:00. What is the smaller angle between the hour and minute hands?
Which number replaces the question mark: 3, 9, 27, 81, ___?
Five blocks are stacked bottom-to-top: Red, Blue, Green, Yellow, White. If Yellow is removed, which color is directly above Green?
Black and white squares alternate starting with black: B, W, B, W, B. What is the 20th square?
A shape sequence shows triangles alternating up, down, up, down. What comes next?
A large triangle is divided into 4 equal smaller triangles by connecting midpoints. How many triangles are in the figure?
On a map with North at the top, you walk 3 blocks East then 4 blocks North. What is the straight-line distance from the start?
Starting at letter B, move 3 positions forward in the alphabet, then 2 positions backward. Where do you land?
Digits 1, 2, 3, 4 fill a 2×2 grid with no repeats. Top row sums to 5, bottom row sums to 5, and the left column sums to 3. If 1 is top-left, what is bottom-right?
How many squares (of any size) are on a standard 3×3 grid of unit squares?
A arrow points North. After a 270° clockwise rotation, which direction does it point?
In the sequence 1, 4, 9, 16, 25, what type of numbers are these?
Which 3D shape has exactly 6 faces, 12 edges, and 8 vertices?
Complete the analogy: Hand is to Glove as Foot is to ___?
A pattern adds 1, then 2, then 3, then 4 to each term: 5, 6, 8, 11, 15, ___?
If you view a capital 'E' in a mirror held to its right side (vertical mirror on the right), what do you see?
Tiles on a floor follow the pattern: 2×2 checkerboard, then 3×3, then 4×4. How many total tiles are in the 4×4 section?
Which number is the odd one out: 2, 3, 5, 9, 11?
A figure shows a circle inside a square touching all four sides. What is the ratio of the circle's area to the square's area?
In a 5-step staircase made of unit cubes, how many cubes are used (1 on top row, 2 on second, ..., 5 on bottom)?
Which completes the pattern AB, CD, EF, GH, ___?
A pentagon has how many diagonals (lines connecting non-adjacent vertices)?
Looking from above, a cylinder appears as which 2D shape?
What is the next number: 1, 1, 2, 3, 5, 8, ___?
A shape is translated 3 units right and 2 units up. If a point starts at (1, 1), where does it end?
Which letter has exactly one line of symmetry?
If 4x + 8 = 32, what is the value of x?
Numerical Reasoning
A shipment contains 240 items. If 35% are flagged for inspection, how many items are flagged?
What is 15% of 680?
If the ratio of processed to unprocessed parcels is 3:2 and there are 150 parcels total, how many are processed?
A officer processes 45 forms in 3 hours. At the same rate, how many forms in 8 hours?
What is the average of 12, 18, 24, and 30?
Solve for y: 2y − 5 = 11
A price drops from $80 to $68. What is the percentage decrease?
What is the next number in the sequence: 5, 10, 20, 40, ___?
If 3 workers complete a task in 12 days, how long would 4 workers take at the same individual rate?
Convert 2.5 hours to minutes.
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