- Refer to the figure. Which answer choice fits the rule shown by the set?
Answer: C. A bar graph with three bars increasing steadily left to right
Each sample bar graph shows three bars increasing in height from left to right. Choice C matches. A has the tallest in the middle, B equal heights, and D decreases, so they do not follow the trend.
- The three figures on the left are alike in a certain way. Refer to the figures shown and pick the one that goes with them.
Answer: A figure divided into 5 equal parts, 2 shaded
In each of the three figures on the left, exactly 2 sections are shaded and the total number of sections is odd (3, 5, 7). Only choice C has an odd number of sections (5) with 2 shaded.
- The figures on the left are alike in a certain way. Based on the figures below, choose the one that belongs in the same group.
Answer: A figure with 4 dots where 3 are collinear and 1 is off the line
In each of the three figures on the left, there are 4 dots such that exactly 3 of them lie on a single straight line and the 4th dot lies off that line. Only C matches this configuration.
- Look at the three figures on the left. They are alike in a certain way. Find the figure on the right that is most like them in the same way.
Answer: A figure with 5 sides and 4 dots inside
In each of the three figures on the left, the number of dots inside is one less than the number of sides of the polygon. A 5-sided figure with 4 dots follows this rule.
- The three figures at the left are all alike in a certain way. Refer to the figures shown and choose the one that goes with them.
Answer: A shape whose top half is striped and whose bottom half is white
In each figure on the left, the upper half of the shape is filled with diagonal stripes and the lower half is plain white (unfilled). Only choice D matches this top-striped / bottom-white pattern.
- Set: rhombus, rectangle, isosceles trapezoid. Which belongs?
Answer: square with four right angles
Each member has at least one line of symmetry and at least one pair of parallel sides. A square has both, so it is the match. The kite with no parallel sides is tempting because it is symmetric, but it lacks the parallel sides the set requires.
- Look at the three figures on the left. They have something in common. Refer to the figures shown to pick the matching figure.
Answer: A figure with no lines of symmetry
Each of the three figures on the left is asymmetrical—none of them has any line of symmetry. The correct match is a figure with no lines of symmetry.
- Set: star, arrowhead, crescent. Which belongs?
Answer: boomerang outline shape
Star, arrowhead, and crescent are all concave outlines: each has an inward notch or indentation. The only choice that shares that feature is the boomerang outline. A regular hexagon is tempting because it is also a closed outline, but every interior angle is less than 180 degrees, so it is convex, not concave.
- Look at the three figures on the left. Figure out how they are alike, then choose the figure that fits the group based on the figures shown.
Answer: A shape with an X in its interior and a solid black dot on its boundary
Each of the three figures on the left contains an X drawn inside the shape and a single small solid black dot placed on the shape's boundary (edge). Only choice B describes this exact configuration.
- Study the three figures on the left and decide how they are alike. Then choose the one that fits best.
Answer: A shape where the shaded area is in the center and does not touch any edge
In each of the three figures on the left, a smaller shaded region is drawn inside the larger figure without touching any of its edges. Only D describes a shaded area that is interior and doesn't touch any edge.
- Examine the three figures shown. They share a property. Using the figures shown, choose the figure that belongs.
Answer: A large shape containing 4 small identical shapes with 1 of them shaded
In each figure on the left, a large outer shape contains several small identical inner shapes, and exactly one of the inner shapes is shaded. The number shaded is always 1, regardless of how many inner shapes there are. Only D has exactly 1 shaded.
- Set: semicircle, sector, capsule. Which belongs?
Answer: quarter-circle (one arc)
Semicircle, sector, and capsule each combine at least one curved arc with at least one straight edge. A quarter-circle sector also has one arc and two straight radii, so it fits. The tempting wrong choice is circle with no straight side, because it is curved but lacks the straight-edge component that the set shares.
- Set: parallelogram, regular hexagon, letter S. Which belongs?
Answer: capital letter Z figure
Parallelogram, regular hexagon, and letter S all have rotational symmetry: they look the same after a half-turn. A capital Z also has 180-degree rotational symmetry, so it belongs. The equilateral triangle is tempting because it has symmetry, but its rotational symmetry is 120 degrees, not a half-turn, so it doesn't match the set.
- Look carefully at the three figures on the left. Find the way they are alike, then choose the figure that fits.
Answer: An arrow with a dot exactly at its arrowhead tip
In each of the three figures on the left, a single dot appears at the pointed tip (arrowhead) of the arrow, regardless of the arrow's direction. Only choice C places the dot at the tip.
- Set: right scalene triangle, right trapezoid, L-shaped hexagon. Which belongs?
Answer: 3-4-5 scalene triangle shape
The set is shapes with at least one right angle that are not parallelograms. A 3-4-5 scalene triangle is a right scalene triangle, so it belongs. The tempting rectangle with unequal sides also has right angles, but since it is a parallelogram, it doesn't fit the set.
- Study the three figures shown. Decide how they are alike, then choose the answer that belongs with them.
Answer: A black circle with a white arrow pointing down
Each figure on the left is a solid black shape containing a white (unfilled) arrow. The arrow's direction and shape vary, but the shape is always black and the arrow is always white. Only choice D has a black shape with a white arrow.
- Examine the three figures on the left. They are alike in a particular way. Based on the figures shown, pick the one that fits with them.
Answer: A large triangle containing two medium circles of the same size
Each figure on the left contains exactly two identical inner shapes of the same size and type. Only choice C follows this pattern with two medium circles of equal size inside a triangle.
