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NNAT3 Level E study materials
NNAT3 Level E study resources

NNAT3 Level E practice questions

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Question 1Pattern Completion

A 4×4 grid follows a repeating rule: each row shifts one cell to the left compared with the row above it, wrapping around. Row 1 is A B C D. What is row 3?

  1. B C D A
  2. C D A B Correct answer.
  3. A B C D
  4. D A B C

Explanation

Each step left moves every symbol one position earlier and wraps the first symbol to the end. Row 2 becomes B C D A, so row 3 becomes C D A B. The pattern is a cyclic rotation, not a reversal.

Question 2Pattern Completion

A figure pattern grows by adding one small square to the right end of a horizontal strip each step. Step 1 has 3 squares, step 2 has 4, step 3 has 5. How many squares does step 6 have?

  1. 6
  2. 9
  3. 7
  4. 8 Correct answer.

Explanation

The strip starts at 3 squares and gains one square per step, so the count at step n is n + 2. At step 6 that gives 6 + 2 = 8 squares. Continuing the sequence 6, 7, 8 confirms the answer.

Question 3Pattern Completion

A 3×3 grid has a shaded square in the top-left corner. In each successive frame the shaded square moves one cell clockwise around the border. Where is the shaded square in the fourth frame?

  1. Top-middle cell
  2. Bottom-left corner Correct answer.
  3. Top-right corner
  4. Bottom-middle cell

Explanation

Tracing the border clockwise from top-left: top-middle, top-right, middle-right, bottom-right, bottom-middle, bottom-left. Counting four moves clockwise lands on the middle-right cell only if corners are skipped, but moving corner to corner clockwise gives top-right, bottom-right, bottom-left. Thus frame 4 is the bottom-left corner.

Question 4Pattern Completion

A pattern alternates between a filled circle and an empty circle, starting with filled. Positions 1 through 8 are shown. What is position 7?

  1. Empty circle
  2. Empty square
  3. Filled square
  4. Filled circle Correct answer.

Explanation

Odd positions carry the filled circle and even positions carry the empty circle. Since 7 is odd, position 7 is a filled circle. The shape never changes, only the fill alternates.

Question 5Pattern Completion

A design shows a triangle, then the same triangle rotated 90° clockwise, then rotated another 90° clockwise. What rotation from the original triangle appears in the third frame?

  1. 90° clockwise
  2. 360° clockwise
  3. 270° clockwise
  4. 180° clockwise Correct answer.

Explanation

Two successive 90° clockwise turns add to a single 180° clockwise turn. Rotating a shape twice by a quarter turn returns it to an upside-down orientation, which is the same as 180°.

Question 6Pattern Completion

In a repeating border pattern the sequence of shapes is star, moon, star, sun, star, moon, star, sun. What shape comes immediately after the third sun?

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

Explanation

The cycle is star, moon, star, sun, and it repeats every four shapes. Each sun is followed by a star, so the shape after the third sun is a star.

Question 7Pattern Completion

A large square is divided into four equal smaller squares, and the top-right small square is shaded. The whole figure is then reflected across a vertical line. Which small square is shaded after the reflection?

  1. Bottom-left
  2. Top-right
  3. Bottom-right
  4. Top-left Correct answer.

Explanation

A reflection across a vertical axis swaps left and right while keeping top and bottom unchanged. The top-right square therefore maps to the top-left square.

Question 8Pattern Completion

A pattern of dots is arranged in rows: row 1 has 1 dot, row 2 has 3 dots, row 3 has 5 dots. Each row adds the same number of dots. How many dots are in row 5?

  1. 11
  2. 9 Correct answer.
  3. 10
  4. 7

Explanation

The rows form odd numbers increasing by 2 each time: 1, 3, 5, 7, 9. Row 5 therefore contains 9 dots. The common difference is 2, not 1.

Question 9Pattern Completion

A 4×4 grid contains a repeating 2×2 tile of a dark square, light square, light square, dark square in reading order. The tile repeats across and down. What appears at row 3, column 3?

  1. Light square
  2. Dark circle
  3. Light circle
  4. Dark square Correct answer.

Explanation

Row 3 and column 3 both reduce to position 1 within the 2×2 tile because the tile repeats every two cells. Position 1 of the tile is a dark square. So row 3, column 3 is dark.

Question 10Pattern Completion

A figure sequence shows a shape rotating 45° clockwise each frame. Frame 1 points north. Which direction does frame 5 point?

  1. North
  2. East
  3. West
  4. South Correct answer.

Explanation

Four 45° clockwise turns total 180°, and frame 5 is four turns after frame 1. A 180° turn from north points south. Counting north, northeast, east, southeast, south confirms it.

Question 11Pattern Completion

A pattern of nested shapes alternates: frame 1 has a square inside a circle, frame 2 has a circle inside a square, frame 3 has a square inside a circle. What is frame 6?

  1. Square inside a circle
  2. Square inside a square
  3. Circle inside a square Correct answer.
  4. Circle inside a circle

Explanation

The inner and outer shapes swap each frame, so even frames have a circle inside a square. Frame 6 is even, so it matches frame 2.

Question 12Pattern Completion

A grid pattern shades cells along a diagonal from top-left to bottom-right, one new cell per frame. Frame 1 shades only the top-left cell; frame 2 shades the top-left and the cell one step down-right. In a 5×5 grid, how many cells are shaded in frame 5?

  1. 6
  2. 25
  3. 4
  4. 5 Correct answer.

Explanation

Each frame adds exactly one cell to the diagonal, so frame n shades n cells. Frame 5 therefore shades 5 cells, running from the top-left corner to the main diagonal's fifth position.

Question 13Pattern Completion

A sequence of shapes uses the rule: each frame is the previous frame reflected across a horizontal line. Frame 1 shows an arrow pointing up. What does frame 3 show?

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

Explanation

Two horizontal reflections cancel each other, returning the arrow to its original orientation. Frame 3 is two reflections from frame 1, so it points up again. One reflection would point down.

Question 14Pattern Completion

A 3×3 grid is filled so that each row and each column contains one star, one moon, and one sun. The first row is star, moon, sun. The second row is moon, sun, star. What is the bottom-right cell?

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

Explanation

Each column must contain one of each symbol. The third column already contains sun in row 1 and star in row 2, so its missing symbol is moon. The resulting third row is sun, star, moon, satisfying both rules.

Question 15Pattern Completion

A pattern of overlapping circles shifts right by one circle diameter each frame while a fixed square stays centered. In frame 1 the leftmost circle touches the square's left edge. In frame 4, where is that same circle relative to the square?

  1. Three diameters to the right of its frame-1 position Correct answer.
  2. Directly on the square's left edge
  3. One diameter to the right of its frame-1 position
  4. Three diameters to the left of its frame-1 position

Explanation

The circles move right by one diameter per frame, and frame 4 is three frames after frame 1. The circle therefore sits three diameters to the right of where it started. The square does not move, so the relative change equals the circle's displacement.

Question 16Pattern Completion

A figure sequence doubles the number of small triangles each frame, starting with 2 triangles in frame 1. How many triangles are in frame 5?

  1. 24
  2. 64
  3. 16
  4. 32 Correct answer.

Explanation

Doubling from 2 gives 4, 8, 16, 32 across frames 2 through 5. Frame 5 therefore has 32 triangles. The growth is multiplicative, not additive.

Question 17Pattern Completion

A pattern alternates a shape's color and its outline: frame 1 is a solid black square, frame 2 is a hollow black square, frame 3 is a solid black square, frame 4 is a hollow black square. What is frame 7?

  1. Solid black square Correct answer.
  2. Hollow white square
  3. Solid white square
  4. Hollow black square

Explanation

Odd frames are solid and even frames are hollow, while the color stays black throughout. Frame 7 is odd, so it is a solid black square.

Question 18Pattern Completion

A 5×5 grid has a shaded border one cell thick. A second frame shades the border plus the next inner ring. A third frame shades the border, the next ring, and the center cell. How many rings does the fourth frame shade?

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

Explanation

The grid is 5×5, so it contains three concentric rings: the outer border, the inner ring, and the single center cell. The fourth frame cannot add a fourth ring because none exists, so it still shades 3 rings.

Question 19Pattern Completion

A pattern shows a shape shrinking by half its side length each frame while staying anchored at its top-left corner. Frame 1 is a 16 cm square. What is the side length in frame 4?

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

Explanation

Halving three times from 16 cm gives 8, 4, and then 2 cm at frame 4. Each frame is one halving, so three halvings separate frame 1 from frame 4.

Question 20Pattern Completion

A grid pattern places a dot at every cell where the row number equals the column number. A second rule then removes the dot at row 3, column 3. How many dots remain in a 4×4 grid?

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

Explanation

The rule row equals column marks four cells on the main diagonal of a 4×4 grid. Removing the one at row 3, column 3 leaves 3 dots.

Question 21Pattern Completion

A shape sequence applies two rules at once: rotate 90° counterclockwise and invert the fill (solid becomes hollow, hollow becomes solid) each frame. Frame 1 is a solid upward arrow. Frame 3 is a hollow upward arrow. What is frame 2?

  1. Hollow upward arrow
  2. Solid left-pointing arrow
  3. Solid downward arrow
  4. Hollow left-pointing arrow Correct answer.

Explanation

Working backward from frame 3, frame 2 must invert once to hollow and rotate 90° clockwise to undo the counterclockwise turn. A solid up arrow rotated 90° counterclockwise points left and becomes hollow, so frame 2 is a hollow left arrow.

Question 22Pattern Completion

A 4×4 grid follows a rule in which each frame swaps two adjacent columns and then reflects the whole grid horizontally. After one full frame, how does the grid compare with its starting arrangement?

  1. It is reflected vertically only
  2. It is rotated 180° only
  3. It is shifted one column right
  4. It is the same as the starting grid Correct answer.

Explanation

Swapping two adjacent columns is itself a horizontal reflection limited to those columns, and reflecting the whole grid horizontally undoes that swap. The two operations cancel, leaving the grid unchanged. This is why the frame looks identical to the start.

Question 23Pattern Completion

A pattern of squares grows so that frame n has n² small squares arranged in an n×n block. A second rule removes the four corner squares of the block in every frame from frame 3 onward. How many squares are visible in frame 4?

  1. 9
  2. 12 Correct answer.
  3. 14
  4. 16

Explanation

Frame 4 has 4² = 16 small squares before removal. Removing the four corners leaves 16 − 4 = 12 squares. The removal rule applies from frame 3 onward, so frame 4 is affected.

Question 24Pattern Completion

A figure rotates 30° clockwise each frame while also gaining one side per frame. Frame 1 is a triangle pointing up. Which property distinguishes frame 5 from frame 1?

  1. It has four more sides and has turned 150° clockwise
  2. It has four more sides and has turned 120° clockwise
  3. It has two more sides and has turned 120° clockwise Correct answer.
  4. It has two more sides and has turned 150° clockwise

Explanation

Frame 5 is four steps after frame 1, so sides increase by 4 − 0 = 4? No: sides gain one per frame, so frame 5 has 3 + 4 = 7 sides, which is four more than the triangle, and rotation is 4 × 30° = 120°. The distinguishing pair is four more sides with a 120° turn.

Question 25Pattern Completion

A 5×5 grid is filled by a rule that copies the top-left 3×3 block into the bottom-right 3×3 block, overlapping at the center cell. If the two copies disagree at the center cell, the rule requires the center to become shaded. The top-left block has an unshaded center and the bottom-right block has a shaded center. What is the final center cell?

  1. Shaded Correct answer.
  2. Half shaded
  3. Unshaded
  4. Empty

Explanation

The two copies overlap exactly at the center cell and disagree there. The stated tie-breaking rule makes any disagreement shaded, so the final center is shaded regardless of which copy is considered first.

Question 26Pattern Completion

A 4×4 grid has a small dark dot in the top-left cell and in every cell reached by moving one cell right and one cell down together. Which set of cells holds the dots?

  1. The four cells of the bottom row
  2. The four cells on the main diagonal from top-left to bottom-right Correct answer.
  3. The four cells of the top row
  4. The four cells of the left column

Explanation

Moving one cell right and one cell down at the same time keeps the row number equal to the column number, so the dots fall on cells (1,1), (2,2), (3,3) and (4,4). Those four cells form the main diagonal running from the top-left corner to the bottom-right corner. Any row or column would require moving in only one direction.

Question 27Pattern Completion

A pattern completes by reflection: the left half of a square design is mirrored across a vertical line to make the right half. The left half shows a dark triangle in its top corner and a hollow circle in its bottom corner. What does the finished square show?

  1. Dark triangles in both top corners and hollow circles in both bottom corners Correct answer.
  2. A dark triangle in the top-right corner and a hollow circle in the bottom-left corner only
  3. A dark triangle in the top-left corner and a hollow circle in the bottom-right corner only
  4. Hollow circles in both top corners and dark triangles in both bottom corners

Explanation

A vertical mirror line keeps top and bottom positions unchanged while swapping left and right. The top dark triangle therefore appears again in the top-right corner, and the bottom hollow circle appears again in the bottom-left corner. The finished figure is symmetric about the vertical line.

Question 28Pattern Completion

A frame shows a small square at the centre of a large circle. The next frames add one ring around the previous figure each time, alternating a square ring and a circle ring. Frame 1 is square inside circle. What is frame 3?

  1. Circle inside circle inside square inside square
  2. Square inside circle inside square inside circle Correct answer.
  3. Square inside square inside circle inside circle
  4. Circle inside square inside circle inside square

Explanation

Each new frame wraps one more ring around the whole previous figure, and the rings alternate square, circle, square, circle outward from the centre. Frame 2 adds a square ring outside the circle, giving square inside circle inside square. Frame 3 adds a circle ring outside that, giving square, circle, square, circle from centre outward.

Question 29Pattern Completion

A 3×3 grid is shaded so that the number of dark cells equals the frame number, and the new dark cell each frame is always the next cell in reading order (left to right, top to bottom). Frame 1 shades the top-left cell. Which cells are dark in frame 4?

  1. The four corner cells
  2. The whole top row only
  3. The first three cells of the top row plus the bottom-right cell
  4. The first four cells in reading order: the whole top row plus the left cell of the middle row Correct answer.

Explanation

Reading order fills the top row first and then continues on the next row from the left. Frame 4 needs four dark cells, so it takes cells 1, 2, 3 and 4, which are the three top-row cells and then the left cell of the middle row. Each frame simply adds one more cell in that same order.

Question 30Pattern Completion

A pattern of squares grows so that frame n contains an n×n block of small squares. A second rule hollows out the four corner squares of the block. How many solid small squares remain in frame 4?

  1. 10
  2. 12 Correct answer.
  3. 16
  4. 8

Explanation

Frame 4 is a 4×4 block holding 16 small squares. Hollowing the four corners removes 4 of them, leaving 16 − 4 = 12 solid squares. The corner squares are distinct, so exactly four are removed.

Question 31Pattern Completion

A border pattern repeats the four shapes star, moon, sun, diamond in that order around the edge of a page. Counting from the top-left corner as position 1, which shape sits at position 14?

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

Explanation

The pattern repeats every four positions, so the shape at any position is found by the remainder when the position is divided by 4. Position 14 gives remainder 2, and the second shape of the cycle is the moon. Positions 13, 14, 15 and 16 would be star, moon, sun, diamond.

Question 32Pattern Completion

A figure sequence flips a shape left-to-right each frame. Frame 1 shows an arrow pointing up and slightly right. What does frame 3 show?

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

Explanation

A left-to-right flip swaps the horizontal tilt but leaves the vertical direction unchanged. Frame 2 therefore points up and slightly left, and flipping that again returns the arrow to up and slightly right. Two flips in the same axis restore the original figure.

Question 33Pattern Completion

A design shows a dark shape in the top-left corner of a square. The square is rotated 90° clockwise. Where does the dark shape end up?

  1. Top-right corner Correct answer.
  2. Top-left corner
  3. Bottom-right corner
  4. Bottom-left corner

Explanation

A quarter turn clockwise carries the top-left corner to the top-right corner, because the top edge swings round to become the right edge. Each corner moves one step clockwise around the square. The bottom-left would go to the top-left, and the bottom-right would go to the bottom-left.

Question 34Pattern Completion

A 5×5 grid has a shaded border one cell thick. A second frame shades the border plus the next inner ring. A third frame shades the border plus the next two inner rings. How many cells are shaded in the third frame?

  1. 16
  2. 24 Correct answer.
  3. 21
  4. 25

Explanation

A 5×5 grid has 25 cells. The border ring holds 16 cells, the next ring holds 8 cells, and the centre cell is 1. The third frame shades the border and the next two rings, which is 16 + 8 = 24 cells, leaving only the centre light.

Question 35Pattern Completion

A shape shrinks by half its side length each frame while its top-left corner stays fixed. Frame 1 is a square of side 16 cm. What is the side length in frame 4?

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

Explanation

Halving the side each frame gives 16, then 8, then 4, then 2 cm across frames 1 to 4. That is three halvings, or a factor of one eighth. The fixed corner means only the size changes, not the position.

Question 36Pattern Completion

A sequence applies two rules together: rotate the figure 90° counterclockwise and swap solid fill for hollow and hollow for solid. Frame 1 is a solid triangle pointing right. What is frame 2?

  1. A hollow triangle pointing right
  2. A hollow triangle pointing up Correct answer.
  3. A hollow triangle pointing down
  4. A solid triangle pointing up

Explanation

A 90° counterclockwise turn carries a rightward-pointing shape to point upward. The fill rule then changes the solid triangle into a hollow one. Both rules act at once, so frame 2 is a hollow triangle pointing up.

Question 37Pattern Completion

A 4×4 grid follows a rule: swap two adjacent columns, then reflect the whole grid left-to-right. Starting from a grid whose left column is entirely dark and whose other columns are light, what does the final grid look like?

  1. The right column is entirely dark and the rest is light Correct answer.
  2. The left column is entirely dark and the rest is light
  3. Every column is entirely dark
  4. The two middle columns are entirely dark

Explanation

Swapping adjacent columns moves the dark column one step inward, but it stays on the left side. The left-to-right reflection then sends that dark column to the mirrored position on the right side. The result is a single dark column at the far right.

Question 38Pattern Completion

A pattern of overlapping circles shifts right by exactly one circle diameter each frame while a fixed square stays centred. Frame 1 has two overlapping circles. In which frame does the leftmost circle first sit entirely to the right of the square's centre line?

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

Explanation

In frame 1 the pair of circles straddles the centre line, with the leftmost circle still left of it. Shifting right by one diameter in frame 2 moves the leftmost circle to where the second circle was, placing it right of the centre line. So frame 2 is the first frame satisfying the condition.

Question 39Pattern Completion

A dot pattern has row 1 with 1 dot, row 2 with 3 dots, row 3 with 5 dots, and each row adds the same number of dots. A second rule removes the single centre dot of every odd-numbered row. How many dots remain in row 5?

  1. 8 Correct answer.
  2. 10
  3. 7
  4. 9

Explanation

Each row adds 2 dots, so row 4 has 7 and row 5 has 9 dots. Row 5 is odd-numbered, so its single centre dot is removed, leaving 9 − 1 = 8 dots. The removal rule costs exactly one dot per odd row.

Question 40Pattern Completion

A figure gains one side per frame and rotates 30° clockwise per frame. Frame 1 is a triangle pointing up. How many sides does frame 4 have, and through what total angle has it turned?

  1. 6 sides, 90° clockwise Correct answer.
  2. 6 sides, 120° clockwise
  3. 5 sides, 60° clockwise
  4. 4 sides, 90° clockwise

Explanation

Starting from 3 sides in frame 1, the side count rises by one per frame: 4, 5, 6, so frame 4 has 6 sides. The rotation is 30° per frame, and three steps from frame 1 to frame 4 give 90° clockwise. Both rules run together, so the answer must satisfy each one.

Question 41Pattern Completion

A 5×5 grid copies its top-left 3×3 block into the bottom-right 3×3 block, overlapping at the centre cell. The top-left block has a dark centre cell and light others. Which cells are dark after the copy?

  1. The entire middle row
  2. The whole main diagonal
  3. Only the centre cell Correct answer.
  4. The centre cell and the four corners

Explanation

The copied block is identical to the source block, so its only dark cell lands on the same relative position, the centre. Because the two blocks overlap exactly at the centre cell, the dark cell is written twice to the same place. No other cell receives a dark value.

Question 42Pattern Completion

A sequence shows a shape whose fill alternates solid, hollow, solid, hollow, while its outline alternates thick, thick, thin, thin and then repeats. Frame 1 is solid with a thick outline. What is frame 5?

  1. Hollow with a thick outline
  2. Solid with a thick outline Correct answer.
  3. Hollow with a thin outline
  4. Solid with a thin outline

Explanation

The fill cycle has length 2 and the outline cycle has length 4, so the combined pattern repeats every 4 frames. Frame 5 is therefore identical to frame 1. That gives a solid shape with a thick outline.

Question 43Pattern Completion

A frame contains a large square divided into four equal smaller squares, and the top-right small square is shaded. The whole figure is then rotated 180°. Which small square is shaded?

  1. Top-left
  2. Top-right
  3. Bottom-right
  4. Bottom-left Correct answer.

Explanation

A half turn sends every corner to the diagonally opposite corner. The top-right square therefore moves to the bottom-left position. The shaded area keeps its size and shape, only its location changes.

Question 44Pattern Completion

A grid pattern places a dot at every cell where the row number equals the column number, then a second rule removes the dots in the first and last rows. In a 5×5 grid, which dots survive?

  1. The dots at (2,2), (3,3) and (4,4) Correct answer.
  2. Only the dot at (3,3)
  3. The dots at (1,1) and (5,5)
  4. All five diagonal dots

Explanation

The first rule gives five dots on the main diagonal: (1,1), (2,2), (3,3), (4,4) and (5,5). Removing the dots in the first and last rows deletes (1,1) and (5,5). The three middle diagonal dots remain.

Question 45Pattern Completion

A 4×4 grid contains a repeating 2×2 tile in reading order: dark, light, light, dark. The tile is repeated to fill the grid. How many dark cells does the whole grid contain?

  1. 6
  2. 8 Correct answer.
  3. 16
  4. 4

Explanation

Each 2×2 tile holds two dark cells, one at its top-left and one at its bottom-right. A 4×4 grid contains four such tiles, so the dark count is 4 × 2 = 8. The repeating tile keeps the same proportion of dark cells throughout.

Question 46Pattern Completion

A figure sequence rotates 45° clockwise each frame. Frame 1 points north. A second rule reverses the direction of rotation whenever the figure has completed a full turn. Which direction does frame 9 point?

  1. South
  2. North Correct answer.
  3. West
  4. East

Explanation

Eight frames of 45° make one full 360° turn, so frame 9 returns the figure to its starting direction. A full turn brings any starting direction back to itself regardless of the direction of rotation. Frame 9 therefore points north, exactly as frame 1 does.

Question 47Pattern Completion

A pattern doubles the number of small triangles each frame, starting with 2 in frame 1. A second rule removes one triangle from every frame after frame 3. How many triangles are in frame 5?

  1. 32
  2. 16
  3. 30
  4. 31 Correct answer.

Explanation

Doubling from 2 gives frame counts 2, 4, 8, 16 and 32 up to frame 5. The removal rule applies from frame 4 onward, taking one triangle in frames 4 and 5. Frame 5 therefore holds 32 − 1 = 31 triangles.

Question 48Pattern Completion

A 3×3 grid must contain one star, one moon and one sun in every row and every column. The first row is star, moon, sun and the first column is star, sun, moon. Which shape belongs in the centre cell?

  1. Star
  2. Moon Correct answer.
  3. Sun
  4. Any of the three

Explanation

The centre cell lies in row 2 and column 2. Row 1 already uses star, moon and sun, so row 2 must also use each exactly once, and the same holds for column 2. The top-left to bottom-right diagonal forces the centre to be the moon once the other cells are placed, since star and sun are already fixed in column 2 and row 2 respectively.

Question 49Pattern Completion

A 5×5 grid is filled by copying its top-left 3×3 block into the bottom-right 3×3 block, overlapping at the centre. The top-left block has dark cells only on its anti-diagonal, running from its top-right to its bottom-left. Which cells are dark in the full grid?

  1. Only the centre cell
  2. The main diagonal of the whole grid
  3. The two anti-diagonals of the two 3×3 blocks, meeting at the centre Correct answer.
  4. The entire middle row

Explanation

The copy places a second anti-diagonal inside the bottom-right block, identical in shape to the first. The two anti-diagonals meet at the shared centre cell, so that cell is written twice but stays dark once. The result is a pair of anti-diagonal strokes crossing at the centre.

Question 50Pattern Completion

A sequence of shapes follows the rule that each frame is the previous frame reflected across a horizontal line. Frame 1 shows a flag with its pole on the left and the banner at the top. What does frame 4 show?

  1. Pole on the left with the banner at the bottom
  2. Pole on the right with the banner at the top
  3. Pole on the left with the banner at the top Correct answer.
  4. Pole on the right with the banner at the bottom

Explanation

A horizontal reflection swaps top and bottom but keeps left and right unchanged. Frame 2 flips the banner to the bottom, frame 3 returns it to the top, and frame 4 flips it down again. An even number of flips restores the original, so frame 4 matches frame 2 rather than frame 1, with the pole still on the left.