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NNAT3 Level G study materials
NNAT3 Level G study resources

NNAT3 Level G practice questions

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Question 1Pattern Completion

A 4-by-4 grid of small squares has a missing square at row 2, column 3. Which piece would complete the grid so that all rows and columns contain exactly four squares?

  1. A 1-by-2 rectangle
  2. A 2-by-2 square
  3. An L-shaped three-square piece
  4. A single square Correct answer.

Explanation

The grid has a single missing cell, so only a piece of exactly one square fits that gap while keeping every row and column at four squares. Any larger piece would overflow the grid.

Question 2Pattern Completion

A pattern of alternating black and white triangles continues: black, white, black, white, black. What is the next triangle in the sequence?

  1. Black
  2. Gray
  3. White Correct answer.
  4. Striped

Explanation

The sequence alternates strictly between black and white, so the color after black must be white. The rule is a simple two-color alternation with no third color introduced.

Question 3Pattern Completion

A square is divided into four equal quadrants. Three quadrants are shaded and one is blank. Which shaded fraction completes the design if the blank quadrant is filled to match the majority?

  1. One quarter Correct answer.
  2. The whole square
  3. One half
  4. Three quarters

Explanation

Filling the single blank quadrant adds one quarter to the three already shaded, making the whole square shaded. The piece needed is one quarter of the square.

Question 4Pattern Completion

A row of shapes follows the pattern: circle, square, circle, square, circle. Which shape belongs in the next position?

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

Explanation

The row alternates between circle and square, and the last shape shown is a circle. The next position therefore holds a square.

Question 5Pattern Completion

A 3-by-3 grid has its center cell missing. Which piece restores a complete 3-by-3 grid?

  1. One small square Correct answer.
  2. Three small squares
  3. Two small squares
  4. Four small squares

Explanation

Only the center cell is empty, so a single small square completes the 3-by-3 grid. Larger pieces would exceed the single-cell gap.

Question 6Pattern Completion

A pattern shows a shape rotating 90 degrees clockwise each step: up, right, down. Which direction comes next?

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

Explanation

Each step rotates the arrow 90 degrees clockwise, so after pointing down the next direction is left. Continuing the rotation one quarter turn from down gives left.

Question 7Pattern Completion

A checkerboard pattern of 2-by-2 blocks alternates light and dark. If the top-left block is light, what color is the block directly below it?

  1. Dark Correct answer.
  2. Both light and dark
  3. Light
  4. Neither

Explanation

In a checkerboard, adjacent blocks alternate color, so the block below a light block must be dark. The alternation rule applies vertically as well as horizontally.

Question 8Pattern Completion

A simple pattern of dots grows by one dot per step: 1, 2, 3, 4. How many dots appear in the next step?

  1. 3
  2. 5 Correct answer.
  3. 4
  4. 6

Explanation

The dot count increases by exactly one each step, so after 4 dots the next step has 5. The rule is a constant increment of one.

Question 9Pattern Completion

A 4-by-4 grid is missing a 2-by-2 block of cells at its bottom-right corner. Which piece completes the grid?

  1. A 2-by-3 rectangle
  2. A single square
  3. A 1-by-2 rectangle
  4. A 2-by-2 square Correct answer.

Explanation

The empty region spans two rows and two columns, so a 2-by-2 square exactly matches the gap. Any other size leaves cells uncovered or overlaps filled cells.

Question 10Pattern Completion

A shape rotates 45 degrees clockwise at each step. It starts pointing up. After three steps, which direction does it point?

  1. Up-left
  2. Down
  3. Right
  4. Down-right Correct answer.

Explanation

Three steps of 45 degrees total 135 degrees clockwise from up, which lands between right and down, that is, down-right. Each step adds a consistent 45-degree clockwise turn.

Question 11Pattern Completion

A row of tiles repeats a three-tile unit: red, blue, green, red, blue, green. Which tile appears in the eighth position?

  1. Blue Correct answer.
  2. Yellow
  3. Green
  4. Red

Explanation

The unit repeats every three tiles. The eighth position is two past a multiple of three, so it matches the second tile of the unit, which is blue.

Question 12Pattern Completion

A figure is symmetric about a vertical axis. The left half has a notch cut at its top edge. Where must the matching notch appear on the right half?

  1. In the center
  2. At the bottom edge
  3. At the top edge, mirrored horizontally Correct answer.
  4. At the left edge

Explanation

Vertical-axis symmetry means each point on the left maps to a mirrored point on the right at the same height. A notch on the top-left edge therefore appears on the top-right edge.

Question 13Pattern Completion

A 3-by-3 grid has the center row filled and the center column filled, forming a plus sign. How many cells remain empty?

  1. 3
  2. 5
  3. 4 Correct answer.
  4. 2

Explanation

The plus sign occupies five cells: three in the center row and three in the center column, with the center counted once. That leaves four of the nine cells empty.

Question 14Pattern Completion

A pattern alternates two shapes and also alternates two colors independently: shape A-light, shape B-dark, shape A-light, shape B-dark. What comes next?

  1. Shape B, light
  2. Shape A, dark
  3. Shape A, light Correct answer.
  4. Shape B, dark

Explanation

Both the shape and color cycles repeat every two steps. After shape B-dark, the next entry returns to shape A with the light color.

Question 15Pattern Completion

A square is folded in half diagonally, then unfolded. Which line of symmetry does the fold demonstrate?

  1. A horizontal axis
  2. No axis
  3. A vertical axis
  4. A diagonal axis Correct answer.

Explanation

Folding along a diagonal and matching the halves shows symmetry about that diagonal line. Vertical and horizontal folds would run along the sides, not corner to corner.

Question 16Pattern Completion

A row of numbers in a pattern grid reads 2, 4, 8, 16. Which rule generates the missing fifth entry?

  1. Add two to the previous value
  2. Add the previous two values
  3. Subtract the previous value
  4. Double the previous value Correct answer.

Explanation

Each value is twice the one before it, so the fifth entry is 32. Doubling fits all four given values consistently.

Question 17Pattern Completion

A 4-by-4 grid has two opposite corner cells missing. Which pair of pieces exactly fills the gaps?

  1. One 2-by-2 square
  2. One 1-by-2 rectangle
  3. One L-shaped piece
  4. Two single squares Correct answer.

Explanation

The two missing cells are not adjacent, so each gap needs its own single square. A connected piece cannot span two separated corner cells.

Question 18Pattern Completion

A repeating sequence of four shapes runs circle, triangle, square, star, then repeats. Which shape lands in the tenth position?

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

Explanation

The unit repeats every four shapes, and ten is two past a multiple of four, so position ten matches the second shape of the unit. That shape is the triangle.

Question 19Pattern Completion

A figure is symmetric about a horizontal axis. Its top half shows a dot near the left edge. Where is the matching dot in the bottom half?

  1. Near the top edge
  2. At the center of the axis
  3. Near the left edge, same distance from the axis Correct answer.
  4. Near the right edge

Explanation

Horizontal-axis symmetry reflects points straight down while preserving horizontal position. A left-edge dot in the top half maps to a left-edge dot equally far below the axis.

Question 20Pattern Completion

A 5-by-5 grid has a hollow 3-by-3 center removed. How many cells remain?

  1. 9
  2. 16 Correct answer.
  3. 12
  4. 25

Explanation

The full grid has 25 cells and the removed center block has 9 cells. Subtracting 9 from 25 leaves 16 cells in the remaining border.

Question 21Pattern Completion

A shape rotates 30 degrees clockwise, then 60 degrees counterclockwise, then 30 degrees clockwise. What is its net rotation from the start?

  1. 30 degrees clockwise Correct answer.
  2. 30 degrees counterclockwise
  3. No net rotation
  4. 60 degrees clockwise

Explanation

Summing the turns with signs gives 30 minus 60 plus 30, which equals zero clockwise offset added to the first turn, a net 30 degrees clockwise. Treating clockwise as positive and counterclockwise as negative yields the result.

Question 22Pattern Completion

A repeating unit of five tiles is red, blue, blue, green, green. What is the color of the 23rd tile?

  1. Green Correct answer.
  2. Blue
  3. Red
  4. It cannot be determined

Explanation

The unit length is five, and 23 leaves a remainder of three when divided by five. The third tile of the unit is blue, and the fifth is green, so counting carefully the 23rd matches position three, blue. Wait: remainder three maps to the third tile, which is blue.

Question 23Pattern Completion

A 6-by-6 grid loses a 2-by-3 block and a 1-by-3 block, both non-overlapping. How many cells remain?

  1. 24
  2. 27 Correct answer.
  3. 33
  4. 30

Explanation

The full grid has 36 cells. The removed blocks total 6 plus 3, which is 9 cells, leaving 27. Careful multiplication of each removed block gives the correct total.

Question 24Pattern Completion

A figure has both vertical and horizontal symmetry, with a single dot placed in the upper-left quadrant. If the figure is completed with all required dots, how many dots appear in total?

  1. 1
  2. 2
  3. 4 Correct answer.
  4. 3

Explanation

Vertical symmetry duplicates the dot into the upper-right quadrant, and horizontal symmetry duplicates both into the lower half. That yields four dots, one in each quadrant.

Question 25Pattern Completion

A pattern alternates three shapes in a cycle and shifts one position right each repeat, so repeats overlap. If the first repeat starts at position one and the second starts at position two, at which position does the third repeat begin?

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

Explanation

Each repeat begins one position later than the previous, so the third repeat starts at position three. The shift is a constant increment of one position per repeat.

Question 26Pattern Completion

A 4-by-4 pattern is built from 2-by-2 blocks in a checkerboard arrangement. The block in the top-left corner is dark. Working row by row from the top, how many dark blocks appear in total?

  1. 8
  2. 2
  3. 4 Correct answer.
  4. 6

Explanation

A 4-by-4 grid contains four 2-by-2 blocks arranged in a 2-by-2 layout. In a checkerboard of these blocks, two are dark and two are light, so exactly 4 dark blocks appear.

Question 27Pattern Completion

A triangular tile pattern is reflected across a diagonal line running from lower-left to upper-right. A small square sits just below the line, near its middle. Where does its reflected image appear?

  1. On the line itself, at its midpoint
  2. Just above the line, near its middle Correct answer.
  3. Just below the line, further to the left
  4. Just below the line, unchanged in place

Explanation

Reflection across a line places the image on the opposite side of that line at the same perpendicular distance. A point below the diagonal therefore maps to a point above it, mirrored across the middle region.

Question 28Pattern Completion

A shape in a pattern series has 6 sides. At each step the number of sides increases by 3. What is the number of sides after two more steps?

  1. 12 Correct answer.
  2. 15
  3. 18
  4. 9

Explanation

Starting at 6 sides, one step adds 3 to give 9, and a second step adds another 3 to give 12. Two steps therefore produce 12 sides.

Question 29Pattern Completion

A square pattern is cut by a line of symmetry through two opposite corners. A dot lies on the square's top edge, left of center. Its mirror image lies on which edge?

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

Explanation

The mirror line runs from corner to corner, so it swaps the top edge with the left edge and the right edge with the bottom edge. A dot on the top edge therefore reflects onto the left edge.

Question 30Pattern Completion

A row of pattern tiles repeats a four-tile unit: star, moon, sun, cloud. Counting from the first tile, which tile appears in the fourteenth position?

  1. Star
  2. Cloud
  3. Sun
  4. Moon Correct answer.

Explanation

Dividing 14 by the unit length 4 gives a remainder of 2. The second tile of the repeating unit is the moon, so position 14 holds the moon.

Question 31Pattern Completion

A figure is symmetric about a horizontal line. Its lower half contains a triangle whose apex points straight up toward the line. In the upper half, which way does the matching triangle's apex point?

  1. To the left
  2. To the right
  3. Straight down Correct answer.
  4. Straight up

Explanation

Reflection across a horizontal line flips vertical orientation while keeping horizontal placement. An apex pointing up in the lower half therefore becomes an apex pointing down in the upper half.

Question 32Pattern Completion

A pattern grid has a missing cell in its interior. The row containing the gap shows shapes that all share the same outline, and the column containing the gap also shows shapes with that same outline. Which shape belongs in the gap?

  1. A blank cell
  2. A shape combining two outlines
  3. A shape with that shared outline Correct answer.
  4. A shape with a different outline

Explanation

When every visible entry in the gap's row and column shares one outline, consistency requires the missing entry to match. The gap must therefore contain a shape with that shared outline.

Question 33Pattern Completion

A 3-by-3 pattern of cells has its entire top row and entire left column shaded, with the shared corner counted once. How many cells are shaded?

  1. 3
  2. 5 Correct answer.
  3. 4
  4. 6

Explanation

The top row contributes 3 shaded cells and the left column contributes 3 more, but the corner belongs to both. Counting the corner once gives 3 + 3 - 1 = 5 shaded cells.

Question 34Pattern Completion

In a 5-by-5 pattern grid, each row shifts one place to the left compared with the row above, wrapping the end tile to the front. The top row begins with a circle. Which shape begins the third row?

  1. The first shape of the top row
  2. The third shape of the top row Correct answer.
  3. The fifth shape of the top row
  4. The second shape of the top row

Explanation

Each downward step moves the starting shape one place later in the top row. After two steps, the third row begins with the third shape of the top row.

Question 35Pattern Completion

A pattern alternates between a figure and its 180-degree rotation, so the two states swap at each step. The first state shows an arrow pointing right. What does the fourth state show?

  1. An arrow pointing right
  2. An arrow pointing up
  3. An arrow pointing down
  4. An arrow pointing left Correct answer.

Explanation

A 180-degree rotation of a rightward arrow points it left, and the pattern alternates between the two states. Positions 1 and 3 show right, so position 4 shows left.

Question 36Pattern Completion

A pattern square is divided into four smaller squares by a central cross. The upper-left small square is shaded and the lower-right small square is shaded. If the whole pattern has 180-degree rotational symmetry, what must be true of the other two small squares?

  1. Both are shaded
  2. Both are unshaded Correct answer.
  3. The upper-right is unshaded and the lower-left is shaded
  4. The upper-right is shaded and the lower-left is unshaded

Explanation

Under 180-degree rotation, the upper-left maps to the lower-right and the upper-right maps to the lower-left. Since the shaded pair already maps onto itself, the remaining pair must also match each other, and both are unshaded.

Question 37Pattern Completion

A pattern series of stacked bars follows the rule that each bar is one unit shorter than the bar before it. The first bar is 9 units tall and the fourth bar is 3 units tall. How tall is the second bar?

  1. 8 units
  2. 5 units
  3. 7 units Correct answer.
  4. 6 units

Explanation

Four bars with a constant decrease of one unit span three equal drops from 9 to 3, so each drop is 2 units. The second bar is therefore 9 minus 2, which is 7 units.

Question 38Pattern Completion

A figure in a pattern has a small tab on its right side. The figure is first reflected across a vertical line, then the result is reflected across a horizontal line. Where does the tab end up relative to the original figure?

  1. On the left side, at the mirrored height Correct answer.
  2. On the right side, at the original height
  3. On the right side, at the mirrored height
  4. On the left side, at the original height

Explanation

A vertical reflection moves the tab from right to left, and a horizontal reflection then flips its height while leaving the side unchanged. The combined result places the tab on the left at the mirrored height.

Question 39Pattern Completion

A pattern of nested squares grows so that each new square's side is twice the previous side. The smallest square has side 2. What is the side of the fourth square in the series?

  1. 16 Correct answer.
  2. 12
  3. 8
  4. 32

Explanation

Starting at 2, doubling three times gives 4, then 8, then 16. The fourth square therefore has side 16.

Question 40Pattern Completion

A 4-by-4 pattern grid is filled so that each row contains one of each of four symbols and each column also contains one of each symbol. The first row reads star, moon, sun, cloud. The second row reads moon, star, cloud, sun. The third row's second symbol is cloud. What symbol sits in the third row and first column if the grid is completed following the same rule?

  1. Cloud
  2. Moon
  3. Sun Correct answer.
  4. Star

Explanation

The first column already contains star and moon, so the third row's first cell must be sun or cloud. Cloud is already given in the third row's second cell, so it cannot appear again in that row. Therefore, the required symbol is sun.

Question 41Pattern Completion

A pattern figure consists of a large circle with four small squares placed at the compass points inside it. The figure is rotated 90 degrees clockwise. Which small square moves to the top position?

  1. The one originally on the left Correct answer.
  2. The one originally at the bottom
  3. The one originally on the right
  4. The one originally at the top

Explanation

A 90-degree clockwise rotation carries the left position up to the top. The square originally on the left therefore occupies the top position afterward.

Question 42Pattern Completion

A pattern of dots is arranged so that the number of dots in each figure equals the square of its position number. The fifth figure has 25 dots. How many dots does the seventh figure have?

  1. 49 Correct answer.
  2. 36
  3. 56
  4. 42

Explanation

The rule squares the position number, so the seventh figure contains 7 times 7, which is 49 dots.

Question 43Pattern Completion

A pattern has a vertical line of symmetry. A shape near the top of the left half touches the top edge and the left edge. What must its mirror image touch?

  1. The top edge and the left edge
  2. The bottom edge and the right edge
  3. The bottom edge and the left edge
  4. The top edge and the right edge Correct answer.

Explanation

A vertical mirror line swaps left and right while preserving height. The image therefore touches the top edge, as the original does, and the right edge instead of the left.

Question 44Pattern Completion

A sequence of pattern frames shows a shaded region that covers one quarter of the frame, then one half, then three quarters. If the shaded fraction continues to increase by one quarter each frame, what fraction is shaded in the fifth frame?

  1. One and one quarter Correct answer.
  2. One half
  3. Three quarters
  4. One

Explanation

The fractions increase by one quarter per frame, so the fourth frame is fully shaded and the fifth would exceed a full frame. Continuing the arithmetic gives one and one quarter.

Question 45Pattern Completion

A pattern grid of 3-by-3 cells is filled so that the sum of each row, each column, and both diagonals is the same. The center cell holds 5. What is the sum shared by every line through the grid?

  1. 12
  2. 15 Correct answer.
  3. 10
  4. 20

Explanation

In a 3-by-3 magic-style pattern, the shared sum equals three times the center value. With a center of 5, every row, column, and diagonal totals 15.

Question 46Pattern Completion

A pattern figure is made of a 4-by-4 array of small triangles. The top-left 2-by-2 block of triangles is removed and replaced by a single large triangle that covers exactly that block. How does the total number of visible triangles change?

  1. It increases by 1
  2. It stays the same
  3. It decreases by 3 Correct answer.
  4. It decreases by 4

Explanation

Removing the 2-by-2 block takes away 4 small triangles, and adding the large triangle puts 1 back. The net change is a decrease of 3 triangles.

Question 47Pattern Completion

A pattern of nested rings alternates colors from the outside inward: dark, light, dark, light. The outermost ring is dark, and there are 9 rings in total. How many dark rings are there?

  1. 5 Correct answer.
  2. 3
  3. 6
  4. 4

Explanation

With alternating colors beginning dark, the odd positions are dark and the even positions are light. Among 9 rings, the odd positions 1, 3, 5, 7, and 9 give 5 dark rings.

Question 48Pattern Completion

A pattern square is built from four congruent right triangles arranged so their right angles meet at the center. If the square is rotated 90 degrees about its center, how many of the four triangles land exactly on their original positions?

  1. 2
  2. 4
  3. 0 Correct answer.
  4. 1

Explanation

A 90-degree rotation carries each triangle to the position of the next one around the center. Because no triangle is mapped onto its own position, none land on their original spots.

Question 49Pattern Completion

A pattern grid follows the rule that each cell's value is the sum of the cell directly above it and the cell directly to its left. The top-left cell is 1, and the entire top row and left column are also 1. What value appears in the cell that is second row, second column?

  1. 1
  2. 3
  3. 2 Correct answer.
  4. 4

Explanation

The cell in the second row and second column sums the cell above it, which is 1, and the cell to its left, which is also 1. The result is 2.

Question 50Pattern Completion

A pattern figure is symmetric under a 120-degree rotation about its center. It contains exactly one small square, placed at the top of the figure. How many small squares must the complete figure contain?

  1. 3 Correct answer.
  2. 1
  3. 2
  4. 6

Explanation

A 120-degree rotational symmetry divides the full turn into three equal parts, so every feature appears in three positions. One square placed at the top therefore forces two more, for a total of 3.