NNAT3 Level B study materials
NNAT3 Level B study resources

NNAT3 Level B practice questions

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Question 1Pattern Completion

A large square is drawn on a grid. A small square piece is cut from its top-right corner. Which description matches the shape that remains?

  1. A square with one corner missing, leaving an L-shaped figure Correct answer.
  2. A rectangle twice as wide as it is tall
  3. A circle with a notch cut out
  4. A triangle with a flat top

Explanation

Removing a square from one corner of a larger square leaves three full sides plus a stepped inner edge, which forms an L-shaped figure. The overall outline is no longer a square because one corner region is gone.

Question 2Pattern Completion

A pattern shows a row of five identical triangles pointing up. The middle triangle is removed. What does the row look like now?

  1. Four downward triangles
  2. Four upward triangles with a gap in the middle Correct answer.
  3. Three upward triangles and one downward triangle
  4. Five upward triangles

Explanation

Removing one triangle from a row of five leaves four triangles, and the empty space sits where the middle one was. The remaining triangles keep their original upward orientation.

Question 3Pattern Completion

A square is divided into four equal smaller squares. The bottom-left small square is shaded. Which statement about the shaded part is true?

  1. It is the same size as the large square
  2. It is one third of the large square
  3. It is one quarter of the large square Correct answer.
  4. It is one half of the large square

Explanation

Four equal parts make up the whole, so each part is one quarter of the large square. One shaded part out of four equal parts is therefore one quarter.

Question 4Pattern Completion

A shape is a rectangle with a small semicircle bump added on its top edge, centered. Which feature must the completed figure have?

  1. A hole in the middle
  2. A curved bump on the bottom edge
  3. A pointed corner at the top
  4. A curved bump on the top edge Correct answer.

Explanation

The added piece is a semicircle attached along the top edge, so the finished outline shows a rounded bump there. The rest of the rectangle stays straight.

Question 5Pattern Completion

A large triangle has a smaller triangle removed from its center, leaving the outer border intact. What does the completed figure look like?

  1. Two separate triangles side by side
  2. A solid triangle with no opening
  3. A triangle-shaped frame with an empty triangular hole Correct answer.
  4. A square with a triangular hole

Explanation

Cutting a triangle from the middle while keeping the border produces a frame shaped like a triangle with a triangular opening inside. The outer outline is unchanged.

Question 6Pattern Completion

A pattern of alternating black and white squares begins black, white, black, white. The next square is missing. What color should it be?

  1. White
  2. Black Correct answer.
  3. Gray
  4. It cannot be determined

Explanation

The colors alternate strictly, so after white the pattern returns to black. Counting positions confirms the fifth square matches the first, third, and other odd positions.

Question 7Pattern Completion

A square is cut along one diagonal into two pieces. Which shape are the two pieces?

  1. Two circles
  2. Two rectangles
  3. Two right triangles Correct answer.
  4. Two smaller squares

Explanation

A diagonal of a square splits it into two congruent triangles, and each has a right angle at a corner of the square. So both pieces are right triangles.

Question 8Pattern Completion

A figure is a circle with a straight vertical line drawn through its center. The right half is removed. What remains?

  1. A half circle with a flat left edge Correct answer.
  2. A quarter circle
  3. A full circle
  4. A triangle

Explanation

Cutting a circle along a diameter and keeping one side leaves a semicircle. Its curved edge is on the left and its straight edge is the diameter line.

Question 9Pattern Completion

A 2-by-2 arrangement of small squares forms a larger square. One small square is moved to sit directly on top of the top-right square. Which outline results?

  1. A triangle made of squares
  2. A perfect 3-by-3 square
  3. An L-shaped base with a single square raised above one corner Correct answer.
  4. A flat row of four squares

Explanation

Three squares stay in the 2-by-2 base arrangement while one square sits above a corner, producing a stepped outline. The result is not a filled square because one corner of the base is now empty.

Question 10Pattern Completion

A shape has a vertical line of symmetry. The left half shows a shape with a notch cut into its top edge. What does the right half show?

  1. A notch in its left edge
  2. A solid top edge with no notch
  3. The mirror image, with a matching notch in its top edge Correct answer.
  4. A notch in its bottom edge

Explanation

Reflecting across a vertical line mirrors left and right while keeping top and bottom in place. So the notch stays on the top edge and appears mirrored on the right half.

Question 11Pattern Completion

A pattern of triangles rotates 90 degrees clockwise at each step. The first triangle points up. What does the fourth triangle point toward?

  1. Right
  2. Down
  3. Left Correct answer.
  4. Up

Explanation

Starting up, one clockwise turn points right, a second points down, and a third points left. The fourth figure therefore points left.

Question 12Pattern Completion

A large square has a small square removed from the middle of each of its four sides. Which description fits the remaining outline?

  1. A cross with four arms
  2. A circle with four dents
  3. A square with four notches, one on each side Correct answer.
  4. A square with four bumps

Explanation

Removing material from the middle of each side creates an inward notch on every side. The corners remain, so the overall square outline is still visible with four indentations.

Question 13Pattern Completion

A figure consists of a large square with a smaller square centered inside it and shaded. The shaded inner square is enlarged until its edges touch the outer square. What is the result?

  1. The outer square shrinks to a point
  2. The inner square becomes a circle
  3. The inner square fills the outer square completely Correct answer.
  4. Two separate squares remain

Explanation

When the inner square grows until its edges meet the outer square on all sides, the two coincide. The shaded region then covers the whole figure.

Question 14Pattern Completion

A sequence of shapes adds one small circle to the top of the previous figure each time. The first figure has one circle. How many circles are in the fifth figure?

  1. Five Correct answer.
  2. Six
  3. Four
  4. One

Explanation

Each step adds one circle, so the count grows by one per figure. The fifth figure therefore contains five circles.

Question 15Pattern Completion

A rectangle is divided by a horizontal line into a top strip and a bottom strip, with the top strip twice as tall as the bottom strip. If the whole rectangle is 9 units tall, how tall is the top strip?

  1. 9 units
  2. 3 units
  3. 4.5 units
  4. 6 units Correct answer.

Explanation

The two strips are in a 2-to-1 ratio, giving three equal shares of the height. Each share is 3 units, and the top strip takes two shares, so it is 6 units tall.

Question 16Pattern Completion

A figure is a square with a triangular flap folded inward along its top edge, so the triangle now points down inside the square. What does the outline look like?

  1. A triangle pointing up
  2. A square with an upward triangle on top
  3. A hexagon
  4. A square with a downward triangle visible inside it Correct answer.

Explanation

Folding the flap inward keeps the square outline but moves the triangle inside, where it points down. The outer boundary is still a square.

Question 17Pattern Completion

A checkerboard pattern of squares is missing one square in the second row. The pattern alternates colors in every row and column. The missing square sits where its left neighbor is dark and the square above it is light. What color is the missing square?

  1. Dark
  2. Both light and dark
  3. Light Correct answer.
  4. Neither light nor dark

Explanation

In a checkerboard, horizontally and vertically adjacent squares always differ in color. Since the left neighbor is dark and the square above is light, the missing square must be light to differ from both.

Question 18Pattern Completion

A large triangle is divided by a line parallel to its base into a small top triangle and a bottom trapezoid. Which piece has more sides?

  1. They have the same number of sides
  2. The top triangle has more sides
  3. The top triangle
  4. The trapezoid Correct answer.

Explanation

The top piece is a triangle with three sides, while the bottom piece is a trapezoid with four sides. So the trapezoid has more sides.

Question 19Pattern Completion

A shape is a square with a quarter circle removed from one corner. Which feature does the completed figure show?

  1. A sharp right angle at every corner
  2. A rounded bump on one side
  3. A full circle inside the square
  4. A rounded inward curve at one corner Correct answer.

Explanation

Removing a quarter circle from a corner replaces that sharp corner with a concave curved edge. The other three corners stay as right angles.

Question 20Pattern Completion

A pattern of squares is built so each new square is placed to the right of the previous one, but every third square is placed above instead. The first three squares go right, right, up. Where does the fourth square go?

  1. Right Correct answer.
  2. Up
  3. Down
  4. Left

Explanation

The rule places two squares to the right, then one above, then repeats. The fourth square starts a new cycle, so it goes right again.

Question 21Pattern Completion

A figure is a square with a smaller square removed from exactly one corner and a smaller square removed from the opposite corner. Which description fits the outline?

  1. A square with no corners cut away
  2. A square with all four corners cut away
  3. A square with two adjacent corners cut away
  4. A square with two opposite corners cut away Correct answer.

Explanation

The two removed squares sit at opposite corners, so the outline shows two cut corners on a diagonal from each other. The other two corners remain sharp.

Question 22Pattern Completion

A complex figure is a large square with a triangular notch on the top edge and a square notch on the right edge. A vertical line of symmetry is claimed. Which statement is true?

  1. The figure cannot have vertical symmetry because the two notches differ Correct answer.
  2. The figure has horizontal symmetry instead
  3. The figure has vertical symmetry because the notches are on different edges
  4. The figure has vertical symmetry because both notches are on edges

Explanation

Vertical symmetry requires the left and right halves to mirror each other. A top notch and a right-side notch of different shapes cannot mirror across a vertical line, so the symmetry fails.

Question 23Pattern Completion

A sequence of figures removes one corner from a square, then two corners, then three, then four. Which figure is a complete square with no corners?

  1. The second figure
  2. The fourth figure Correct answer.
  3. The third figure
  4. The first figure

Explanation

The count of removed corners increases by one each step, so the fourth figure has all four corners removed. That leaves a figure that is no longer a square at all.

Question 24Pattern Completion

A large square is divided into nine equal small squares. The four corner small squares are removed and the center small square is shaded. What fraction of the original large square is shaded?

  1. Four ninths
  2. One half
  3. One quarter
  4. One ninth Correct answer.

Explanation

The large square holds nine equal small squares, and only the center one is shaded. Removing corners does not change the shaded area, so the shaded fraction is one ninth.

Question 25Pattern Completion

A figure is built by overlapping a square and a triangle so that the triangle's base lies along the square's top edge and its tip points up. A horizontal line cuts off the triangle's tip. Which outline remains?

  1. A square topped by a smaller triangle
  2. A triangle alone
  3. A square topped by a trapezoid Correct answer.
  4. A square alone

Explanation

Cutting the tip off a triangle leaves a trapezoid, which still sits on the square. The combined outline is therefore a square with a trapezoid on top.

Question 26Pattern Completion

A large square is divided into four equal smaller squares by one vertical line and one horizontal line through its center. The bottom-right small square is erased. Which description matches the figure that remains?

  1. Four small squares with a gap in the middle
  2. Two small squares side by side
  3. Three small squares arranged in an L shape Correct answer.
  4. Three small squares in a straight row

Explanation

Removing one corner square from a two-by-two grid leaves the other three squares, and those three touch to form an L shape. The missing square is a corner, not a middle piece, so no hole appears in the center.

Question 27Pattern Completion

A figure shows a circle with its top half shaded. A horizontal line through the center divides the figure. Which half is unshaded?

  1. The top half
  2. The left half
  3. The bottom half Correct answer.
  4. The right half

Explanation

A horizontal dividing line splits the circle into a top half and a bottom half. Since the top half is shaded, the unshaded part is the bottom half.

Question 28Pattern Completion

A pattern is made of small squares placed corner to corner so they touch only at diagonal points. The first square is at the top left, and each new square is added down and to the right. What overall direction does the chain of squares run?

  1. From top right toward bottom left
  2. From top left toward bottom right Correct answer.
  3. Straight across the top edge
  4. Straight down the left side

Explanation

Adding each square down and to the right moves the chain steadily toward the lower-right corner. The starting point at the top left fixes the other end of the diagonal.

Question 29Pattern Completion

A square has a small triangle added on top of its upper edge, with the triangle's base matching that edge and its point facing up. How many straight outer edges does the combined figure have?

  1. Three
  2. Four
  3. Six
  4. Five Correct answer.

Explanation

The square contributes four edges, but the top edge is now shared with the triangle's base and is no longer on the outside. The two slanted triangle sides replace it, giving five outer edges.

Question 30Pattern Completion

A figure is a rectangle with a smaller rectangle removed from its left end, leaving the right portion. The removed piece is the same height as the original. What shape is the remaining piece?

  1. A trapezoid
  2. A triangle
  3. A circle
  4. A rectangle Correct answer.

Explanation

Cutting a rectangle with a vertical line and keeping one side leaves a smaller rectangle of the same height. Removing a same-height piece from the end does not slant or curve any edge.

Question 31Pattern Completion

A shape is folded along a vertical line of symmetry, and the left half is shaded. After unfolding, which statement describes the shading?

  1. Neither half is shaded
  2. Only the right half is shaded
  3. Both halves are shaded Correct answer.
  4. Only the left half is shaded

Explanation

Folding along the line of symmetry makes the two halves coincide, so shading applied to the left half also marks the right half. Unfolding therefore shows both halves shaded.

Question 32Pattern Completion

A row of shapes alternates between a square and a triangle, starting with a square. The row has six shapes. How many triangles are in the row?

  1. Three Correct answer.
  2. Two
  3. Four
  4. Six

Explanation

The row runs square, triangle, square, triangle, square, triangle. Counting the triangle positions gives three triangles in six shapes.

Question 33Pattern Completion

A square is divided into four equal triangles by drawing both diagonals. One of the triangles is removed. How many triangles remain?

  1. Two
  2. One
  3. Three Correct answer.
  4. Four

Explanation

Drawing both diagonals creates exactly four triangles meeting at the center. Removing one of them leaves three triangles.

Question 34Pattern Completion

A figure is a square with a small square notch cut from the middle of its top edge. A matching notch is then cut from the middle of its bottom edge. Which description fits the outline now?

  1. A square with no notches
  2. A square with a notch on the top edge and a notch on the bottom edge Correct answer.
  3. A square with a notch on the left edge and a notch on the right edge
  4. A square with two notches on the top edge

Explanation

Each cut affects the edge named in the description. The first cut opens the top edge and the second opens the bottom edge, so one notch appears on each of those edges.

Question 35Pattern Completion

A large square is divided into a two-by-two grid of small squares. The top-left and bottom-right small squares are shaded. What symmetry does the shaded arrangement have?

  1. A vertical line of symmetry only
  2. A horizontal line of symmetry only
  3. A diagonal line of symmetry running from top right to bottom left Correct answer.
  4. No line of symmetry

Explanation

The two shaded squares sit at opposite corners of the grid, and reflecting across the diagonal from top right to bottom left swaps them. A vertical or horizontal reflection would move each shaded square onto an unshaded one.

Question 36Pattern Completion

A figure is a triangle with a horizontal line drawn through it parallel to its base, cutting off a small triangle at the top. The small top triangle is kept and the lower part is discarded. What is the shape of the kept piece?

  1. A triangle similar to the original Correct answer.
  2. A trapezoid
  3. A rectangle
  4. A parallelogram

Explanation

A line parallel to the base cuts off a smaller triangle that shares the original apex angle and has the same base angles. That makes the kept piece a triangle with the same shape as the original.

Question 37Pattern Completion

A pattern of squares grows so that each new figure adds a full row of squares along the bottom. The first figure has one square, the second has a row of one plus a row of two, and the third adds a row of three. How many squares are in the fourth figure?

  1. Six
  2. Twelve
  3. Ten Correct answer.
  4. Nine

Explanation

The figures contain 1, then 1+2, then 1+2+3 squares. The fourth figure adds a row of four, giving 1+2+3+4 = 10 squares.

Question 38Pattern Completion

A shape is a square with a quarter circle removed from its top-right corner. The curved edge of the removed piece faces the corner. Which feature appears on the remaining figure?

  1. A curved edge along the entire top side
  2. A straight diagonal edge at the top-right corner
  3. A convex curved edge at the top-right corner
  4. A concave curved edge at the top-right corner Correct answer.

Explanation

Removing a quarter circle from a corner leaves the arc of that circle as an inward-curving boundary. Because the arc bends into the figure, the edge is concave at that corner.

Question 39Pattern Completion

A figure consists of a large triangle with a smaller triangle drawn inside it sharing the same top vertex, with the small triangle's base horizontal and above the large triangle's base. The region between the two bases is shaded. What shape is the shaded region?

  1. A trapezoid Correct answer.
  2. A parallelogram
  3. A triangle
  4. A rectangle

Explanation

The shaded region lies between two horizontal parallel bases and is bounded by the two slanted sides of the large triangle. A four-sided shape with exactly one pair of parallel sides is a trapezoid.

Question 40Pattern Completion

A pattern is built from identical small squares joined edge to edge. The first figure is a single square, the second is two squares in a row, and the third is three squares in a row. If the pattern continues, how many small squares make up the figure with a row of seven squares?

  1. Seven Correct answer.
  2. Six
  3. Fourteen
  4. Eight

Explanation

Each figure in this pattern is a single row whose length equals the figure's position in the sequence. The figure described as having a row of seven squares therefore contains exactly seven squares.

Question 41Pattern Completion

A square has a smaller square removed from the exact center, leaving a frame. A vertical line is drawn through the centers of both squares. What does this line do to the frame?

  1. It divides the frame into two matching halves Correct answer.
  2. It misses the frame entirely
  3. It divides the frame into two unequal parts
  4. It passes only through the hole

Explanation

Both squares are centered on the same point, so a vertical line through that center is a line of symmetry for the whole figure. Reflecting the frame across it maps each half onto the other.

Question 42Pattern Completion

A figure is a rectangle with a triangular piece added to its right edge, with the triangle's base matching that edge and its point facing right. The whole figure is then reflected across a vertical line. Where does the triangle's point face?

  1. Right
  2. Down
  3. Up
  4. Left Correct answer.

Explanation

A vertical reflection reverses left and right while keeping up and down unchanged. The point that faced right therefore faces left after the reflection.

Question 43Pattern Completion

A pattern of shapes repeats the cycle square, circle, triangle, square, circle, triangle, and so on. The eighth shape in the pattern is missing. Which shape belongs there?

  1. Circle Correct answer.
  2. Diamond
  3. Square
  4. Triangle

Explanation

The cycle has length three, so position eight falls at 8 minus 6 equals position two in the cycle. The second shape in the cycle is a circle.

Question 44Pattern Completion

A large square is divided into sixteen equal small squares by three vertical and three horizontal lines. The four small squares at the corners are removed. How many small squares remain?

  1. Eight
  2. Four
  3. Sixteen
  4. Twelve Correct answer.

Explanation

The grid starts with sixteen small squares, and removing four corner squares leaves sixteen minus four, which is twelve. The remaining squares form a cross-like band around the edge and center.

Question 45Pattern Completion

A figure shows a circle with a square drawn inside it so that all four corners of the square touch the circle. A vertical line through the center of both shapes is drawn. Which statement about the shaded left half of the square is true after reflection across that line?

  1. It maps onto the top half of the square
  2. It maps onto the right half of the square Correct answer.
  3. It maps onto the bottom half of the square
  4. It maps onto the area outside the square

Explanation

A vertical line through the shared center is a line of symmetry for a square, so the left half reflects onto the right half. The circle's symmetry confirms the line passes through the center of the whole figure.

Question 46Pattern Completion

A figure is built by joining four congruent right triangles along their legs to form a large square with a tilted square hole in the middle. The hole's corners touch the midpoints of the large square's sides. If the large square is rotated 90 degrees about its center, what happens to the hole?

  1. It maps onto itself Correct answer.
  2. It becomes a triangle
  3. It disappears
  4. It moves to a corner of the large square

Explanation

A square rotated 90 degrees about its center coincides with itself, and the hole shares that center and the same fourfold symmetry. The hole therefore maps onto itself under the rotation.

Question 47Pattern Completion

A sequence of figures starts with a square. Each step adds one small square to the right end of the bottom row and one small square to the left end of the top row. After four steps beyond the starting square, how many small squares are in the figure?

  1. Five
  2. Sixteen
  3. Eight
  4. Nine Correct answer.

Explanation

Each step adds two small squares, so four steps add eight squares to the starting one. The total is one plus eight, which is nine.

Question 48Pattern Completion

A shape is a square with an isosceles triangle removed from the middle of its top edge, the triangle's point aiming down into the square. A horizontal line through the square's center is drawn. Which statement about the remaining figure is true?

  1. The figure is symmetric about the horizontal center line
  2. The figure is symmetric about the vertical center line Correct answer.
  3. The figure is symmetric only about a diagonal
  4. The figure has no line of symmetry

Explanation

The notch is centered on the top edge and is isosceles, so a vertical line through the middle of the square mirrors the whole figure. The horizontal line would reflect the notch to the bottom edge, where there is no notch.

Question 49Pattern Completion

A pattern of shapes is formed so that each figure is the previous figure with every square changed to a triangle and every triangle changed to a square. The first figure is a square beside a triangle. What is the third figure?

  1. A triangle beside a square
  2. Two triangles
  3. Two squares
  4. A square beside a triangle Correct answer.

Explanation

Applying the swap twice returns every shape to its original type. The third figure is therefore the same as the first, a square beside a triangle.

Question 50Pattern Completion

A large square is divided into nine equal small squares. The center small square is removed, and then each of the four edge-center small squares is also removed. Which description fits the remaining figure?

  1. Four small squares, one at each corner, not touching Correct answer.
  2. Eight small squares around a hole
  3. Four small squares in a row along the top
  4. Five small squares forming a cross

Explanation

The grid has nine squares; removing the center and the four edge-center squares removes five, leaving the four corner squares. Corner squares in a three-by-three grid meet only at points, so they do not touch along edges.