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Counting Figures — practice questions, page 4

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A V and an upside-down V are drawn inside a square, as shown. How many triangles does the figure…A right-angled triangle has three small squares drawn inside it like steps, as shown. How many…Inside the right-angled triangle, three small squares form a staircase. Count the triangles in the…A point inside a triangle is joined to its three corners. How many triangles are there in the…Two lines run from the top vertex of the triangle to its base, and another line runs from the…How many triangles are there in this five-pointed star?A square has both its diagonals drawn and a smaller square sits upright at its centre. How many…A rectangle stands on the base of a triangle with its top corners touching the two sides. How many…In the figure, a rectangle stands on the base of a triangle and its top corners touch the sides.…A strip of three rectangles has one long diagonal from its bottom-left corner to its top-right…A rectangle has both its diagonals drawn and is divided into three equal parts by two upright…Count the triangles in this zigzag drawn under a straight top line.A rhombus is drawn inside a rectangle with its corners at the midpoints of the rectangle's sides,…Three lines are drawn in an equilateral triangle, each parallel to a side and one-third of the way…A square is split into four small squares, and both diagonals of every small square are drawn.…An upside-down triangle joins the midpoints of a triangle's sides, and a horizontal line crosses…A bow-tie is drawn with two crossing lines, two upright end lines and a horizontal line through…A parallelogram has one diagonal and a line joining the midpoints of its two slanting sides. How…The big triangle is cut into six rows of small triangles. How many triangles of all sizes can be…A 3 by 3 grid of squares has one long diagonal from its top-left to its bottom-right corner. How…How many squares are there in this grid of two rows and three columns?Count all the rectangles, squares included, in a grid of two rows and three columns of equal…Find the number of rectangles (squares included) in a square grid of four rows and four columns.A long strip is divided into five equal squares. How many rectangles (squares included) can be…In a grid of two rows of five squares each, how many squares are there?

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