Square numbers include 7² = 49, 6² = 36, 9² = 81 and 8² = 64. Twenty-seven is not a square number. Answer: C — 27

The graph shows 9,000 steps on Monday and 8,000 on Tuesday: 9,000 + 8,000 = 17,000. Answer: B — 17,000

A multiple of 3 has digits whose sum is divisible by 3. For 73, 7 + 3 = 10, so it is not a multiple of 3. Answer: C — 73

7:40 a.m. + 20 minutes = 8:00 a.m.; adding 5 more minutes gives 8:05 a.m. Answer: E — 8:05 a.m.

The shape contains 15 small squares. At 10 cm² each, its area is 15 × 10 = 150 cm². Answer: A — 150 cm²

The first four diagrams show one-half. Four-sixths simplifies to two-thirds, so it is different. Answer: E — 4/6

5,274 is “five thousand, two hundred and seventy-four”. Answer: C

79 + 89 = 168, and 168 + 10 = 178. Answer: C — 178

The increases are +1, +2, +3, +4, then +5. Therefore 11 + 5 = 16. Answer: B — 16

The scale intervals place 125 at the point labelled B. Answer: B — point B

The minute hand points to 12 and the hour hand points to 7. Answer: D — 7 o’clock

Mila is 12, so Sara is 10. George is 3 years younger than Sara: 10 − 3 = 7. Answer: B — 7 years

1,500 g = 1.5 kg. Therefore 4.5 kg − 1.5 kg = 3 kg. Answer: A — 3 kg

75% is three-quarters. One-quarter of 200 is 50, so three-quarters is 3 × 50 = 150. Answer: D — 150

The large cube is 3 cubes long, 3 wide and 3 high: 3 × 3 × 3 = 27. Answer: B — 27 cubes

Twelve bars with 10 pieces each give 12 × 10 = 120 pieces. Answer: B — 120

The two pieces must total 15 and differ by 1: 7 + 8 = 15. The larger piece has 8 sections. Answer: B — 8 sections

Two cards each month for 12 months is 24 cards per year. In 2 years: 24 × 2 = 48. Answer: D — 48

The number line splits 27 into 20 and 7. After the +20 jump, 46 becomes 66; the grey box hides 66. Answer: E — 66

Triangle B contains a 90-degree angle and is therefore right-angled. Answer: B

970 − 289 = 681, so 681 of the children were boys. Answer: A — 681

L represents 50 and II represents 2, so LII represents 52. Answer: B — LII

Comparing place values, 0.0047 is smaller than 0.0074, 0.047, 0.47 and 0.74. Answer: C — 0.0047

The chart shows Sara reading 12 books and Sam reading 7. The difference is 12 − 7 = 5. Answer: B — 5 books

£10.00 − £2.40 = £7.60. Answer: D — £7.60

The shape has eight sides, so it is an octagon. Answer: D — octagon

We need to find the mirror image of the paper clip. A mirror reflection reverses the figure from left to right without rotating it. Look carefully at the direction of the paper clip and the position of its opening. Only option C shows the correct reflection, so the answer is C. Answer: C

Here, we need to reflect the figure across the vertical dotted line. The horizontal strip remains at the top, but the narrow vertical section moves from the left-hand side to the right-hand side. Option A shows this correctly, so the answer is A. Answer: A

Look carefully at both the arrow and the vertical strip. In the reflection, the strip moves from the left of the arrow to the right, while the arrow changes direction and points to the left. Option A shows both changes correctly, so the answer is A. Answer: A

We need to reflect both arrows across the vertical dotted line. The upper arrow, which points left, should appear on the right and point right. The lower arrow should appear on the left and point left. Option D shows the correct reflection, so the answer is D. Answer: D

Look carefully at each part of the symbol inside the circle. Its mirror image must reverse the symbol from left to right without turning the circle. Only option B shows the correct reflection, so the answer is B. Answer: B

We need to reflect the complete figure across the vertical dotted line. Pay particular attention to the direction of the two sloping bands around the inner circle. In the mirror image, their positions and slopes must be reversed from left to right. Option C shows the correct reflection, so the answer is C. Answer: C

Look at the two circles and the diagonal bands around them. The circles remain in the same vertical order, but the diagonal bands move from the right-hand side to the left-hand side. Option B shows the correct mirror image, so the answer is B. Answer: B

We need to reflect the zigzag line across the vertical dotted line. This means that the peak and the dip exchange their left-and-right positions. Only option A shows the correct reflection, so the answer is A. Answer: A

We need to find the missing section that completes the grey oval in the centre. The missing top-left square must contain the upper-left part of the pattern, with the grey curve appearing in its bottom-right corner. Option A fits the oval perfectly, so the answer is A. Answer: A

Look at the arrows in each row. Every arrow in the first row points left, every arrow in the middle row points right, and every arrow in the final row points left again. The missing arrow must therefore point right. Its position within the square must also continue the pattern, placing it near the bottom. Option A satisfies both rules, so the answer is A. Answer: A

Each quarter contains two overlapping pairs of small squares: one near the outside corner and another near the centre of the large square. The colours and positions follow a repeating pattern. In the missing top-left quarter, we need a light pair near the outside corner and a dark pair towards the centre. Option D completes both parts of the pattern, so the answer is D. Answer: D

Look at how the diagonal line and the two circles move around the four corners. The line always begins at the outside corner, with the black circle closest to that corner and the white circle beside it. The missing figure needs the line in the top-right corner, with the black and white circles in the correct order. Option B completes the pattern, so the answer is B. Answer: B

Each right-angled triangle has its right angle in the corner that matches its position in the larger square. We already have triangles with their right angles in the top-left, bottom-left and bottom-right corners. The missing triangle must therefore have its right angle in the top-right corner. Option B shows this, so the answer is B. Answer: B

Look at the shapes in the final column. As we move down each row, the shape turns ninety degrees anticlockwise. The shading also changes by row: the top row is unshaded, the middle row is grey, and the bottom row is dotted. The missing figure must therefore point left and have a dotted fill. Option C matches both rules, so the answer is C. Answer: C

The outer shapes repeat in a pattern: circle, cloud and diamond. The first row contains three black circles, the second row contains two white circles, and the final row contains one grey circle. The missing figure must therefore be a cloud containing two white circles. Option C shows the correct combination, so the answer is C. Answer: C

Compare the two figures in the left-hand column. From the top to the bottom, the arrangement turns clockwise, and the zigzag pattern moves into the larger shape. We must apply the same changes to the triangles in the right-hand column. Option A has the correct direction, size arrangement and zigzag fill, so the answer is A. Answer: A

In four of the figures, the black dot is positioned at the tail of the arrow. In option A, however, the black dot is positioned near the arrowhead instead. This makes option A different from the others, so the answer is A. Answer: A

Look at the curved, dome-shaped end of each outer figure and the direction of the three blades inside it. In four figures, exactly one blade points towards the curved end. In option E, two blades point towards the curved end. Option E is therefore the odd one out. Answer: E

Four of these shapes have four right angles, even when the shape has been turned. Option B is a trapezium and does not have four right angles. It is therefore different from the others, so the answer is B. Answer: B

Each figure contains one black circle, one white circle and a line. In options A, B, C and E, the line is attached to the black circle. In option D, the line is attached to the white circle instead. Option D is therefore the odd one out. Answer: D

In four figures, the plain white circle is inside the rectangle, while the circle containing a cross is outside it. In option C, this arrangement is reversed: the crossed circle is inside the rectangle and the plain circle is outside. Option C is therefore the odd one out. Answer: C

Options A, B, C and D all show arrows pointing upwards. Option E is the only arrow pointing in a different direction. Therefore, option E is the odd one out. Answer: E

Four of the symbols show the same shape turned to different positions. Option D cannot be produced by rotation alone because the symbol has been reflected or flipped. Option D is therefore the odd one out. Answer: D

In options A, C, D and E, the vertical and horizontal lines form an upright cross. In option B, the lines are diagonal and form a tilted cross. Option B is therefore the odd one out. Answer: B