Counting Figures — practice questions, page 5
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Five equal squares form the letter L, as shown. How many rectangles (squares included) are there?Five equal squares make a plus sign. How many squares are there in the figure?Five squares climb like a staircase, as shown. How many rectangles (squares included) are in the…Seven equal squares make the shape shown: two blocks of four squares each, overlapping in one…In the eight-square shape shown (two 2 by 2 blocks joined through a middle row of four), how many…Three squares are nested one inside another and their corners are joined by four slanting lines.…A ladder has two long rails and four rungs. How many rectangles can be seen between the rails and…On this ladder the rungs are half as far apart as the rails. How many squares does the figure…A rectangle is split into a left half and a right half. The left half has one line across it; the…Two rectangles cross to form a plus shape. How many rectangles (squares included) can be found in…Three equal squares are chained, each overlapping the next by a quarter, as shown. How many…For the chain of three overlapping squares shown, count the rectangles, squares included.Two lines are drawn across a trapezium, parallel to its top and bottom sides. How many trapeziums…Four lines are drawn across a triangle, all parallel to its base. How many trapeziums does the…What is the number of triangles in a triangle that has four lines drawn across it parallel to its…A triangle has two lines from its apex to the base and two lines parallel to the base. How many…A slanted strip is cut into four equal parallelograms. How many parallelograms are there in all?A large parallelogram is divided into 2 rows and 3 columns of small parallelograms. How many…A rectangle has both its diagonals and both mid-lines drawn. How many quadrilaterals are there in…A square has its diagonals drawn, and the midpoints of its sides are joined to make a tilted…In a square with both diagonals and an inner tilted square joining the side midpoints, how many…Both long diagonals are drawn across a 3 by 3 grid of squares. Find the number of triangles.A square is divided into four by its mid-lines, and a smaller square is drawn around the centre.…Count the rectangles, squares included, in a square that has both mid-lines and a smaller square…Two upright and two flat lines cross a square a quarter of the way in from each edge, as shown.…
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