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Reasoning

R_BI_I2_E1_A1_fig1b

19 red apples in a line with the 9th, 10th and 11th apples coloured black

Day 2

R_BI_I2_E1_A1_fig2

Two large rectangular arrays of red apples. The first has one black apple in the centre of top row. The second has three black apples in the centre of the top row and one in the centre of the second row.

Trays of apples.

R_BI_I2_E1_A1_fig2a

8 rows of 19 red apples in lines with the 10th apple in the first row coloured black

Day 1

R_BI_I2_E1_A1_fig2b

8 rows of 19 red apples in lines with the 9th, 10th and 11th apples in the first row and the 10th apple in the second row coloured black

Day 2

R_BI_I2_fig1

A person visualising a net of a box and the completed cardboard box.

Visualising.
Source: graur codrin/Freedigitalphotos.net

R_BI_I3_E1_A1_fig1

A shape made up of an irregular quadrilateral in four different orientations around a point, next to a tessellation using the same shape.

Quadrilaterals around a point and a tessellation of quadrilaterals.

R_BI_I4_E2_fig1

Line of vertical bars doubling in height.

Doubling quantities.

R_BI_I5_E2_fig1

Rectangles with central points marked and straight lines drawn through the centres to divide them into halves, with corresponding sides and alternate interior angles marked as being equal.

Halving a rectangle.

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