Counting Figures — practice questions with answers
260 questions with worked solutions. Open any question to see the full step-by-step answer.
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How many triangles are there in the figure below?How many quadrilaterals (four-sided figures) are there in the figure?A square has both its diagonals and both its mid-lines (joining midpoints of opposite sides)…All the diagonals of the pentagon are drawn, forming a star inside it. How many triangles are…The big triangle is divided into three rows of small triangles. How many triangles are there in all?In a 2 by 2 grid, both diagonals of every small square are drawn. How many squares (upright or…How many rectangles (squares included) can be traced in the figure? Note that the middle…What is the least number of straight lines needed to draw this figure?A hexagon has its centre joined to all six vertices. How many quadrilaterals are there in the…A rectangle has both its diagonals and one vertical mid-line drawn. How many triangles are there…Two triangles overlap to form the six-pointed star shown. How many triangles are there in the…The midpoints of the sides of a triangle are joined to make an upside-down triangle inside it. The…A trapezium is divided by two upright lines from its top corners and one line across the middle,…In a grid of 2 rows and 3 columns, one long diagonal is drawn across each row so that the two meet…A glass cube is drawn with all 12 of its edges showing. Treating the drawing as flat lines on…How many circles are there in this chain figure?The figure is a lattice of 2 rows with 4 slanted parallelograms in each row. How many…Inside a square, a second square is drawn by joining the midpoints of its sides, and both…The figure is a six-pointed star with its points joined to form a hexagon around it. What is the…The back of an envelope is drawn as a rectangle with both diagonals and a flap whose tip lies…A rectangle has both its diagonals and a horizontal line through its centre drawn. How many…A hexagon has its centre joined to all six vertices. What is the least number of straight lines…Two triangles overlap to form a six-pointed star. How many quadrilaterals are there in the figure?In how many points do the circles in the figure meet one another? (Circles that just touch meet at…The midpoints of a triangle's sides are joined, and a line is drawn from the top vertex straight…
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