GEOMETRY PROBLEMS

Mr. X helps math students better understand Geometry. Our sample math problems are designed to provide the necessary practice to know and understand the ideas and principles of geometry. The sample problems reinforce the geometry lessons available to our subscribers. Check out our free samples below, as well as the geometry problem set. Geometry lessons and problems are included with a subscription to Mr. X.

Try Mr. X FREE

Geometry Sample Problem 1

Geometry Sample Problem 2

Geometry Sample Problem 3

Geometry Problem Set

Register today to view the full geometry problem set FREE for 30 days!!

Title	Description
Angle Addition Calculations DMS 301	We add angles in DMS form (Degree-Minutes-Seconds). Twelve problems; I work the first batch of six.
Angle Subtraction Calculations DMS 302	Subtraction of angles in DMS form. Twelve problems; I work the first six.
Basic Areas and Perimeters	Regular polygons have all sides congruent and all angles congruent. Areas of regular polygons can calculated easily using the apothem.
Connecting Nodes	How many connections can be made between 24 different nodes?
Geometric Problem Set 001, Betz, Webb and Smith	These review exercises show the Segment Addition Postulate in its most basic practical form. This is a very straightforward idea.
Geometric Problem Set 002, Betz, Webb and Smith	Segment addition follows established logic with incorporation of numbers, or constants, as multipliers or divisors. This is especially easy if you understand fractions.
Geometric Problem Set 003, Betz, Webb and Smith	The addition of line segments is extremely easy and straightforward, even if the lengths are fractions of a length expressed as a variable.
Geometric Problem Set 004, Betz, Webb and Smith	With a ruler, we measure line segments and calculate errors (percent error) from estimates and measurements.
Geometric Problem Set 005, Betz, Webb and Smith	We look at angles within block letters. These problems are basic to understanding angle addition and the Angle Addition Postulate. We also move an angle along one ray to maintain the same angle.
Geometric Problem Set 006, Betz, Webb and Smith	Every possible angle is contained in a rotation. Angles can be thought of as a portion (some fraction) of a rotation. Don't worry, be happy.
Geometric Problem Set 007, Betz, Webb and Smith	We look at equal fifths of a rotation, which are 72°. We also look at an angle greater than 180°.
Geometric Problem Set 008, Betz, Webb and Smith	We look at fractional parts of a straight angle. This problem is truly just arithmetic. You'll find that 30° and 180° are very important angles.
Geometric Problem Set 009, Betz, Webb and Smith	What we used to call a "round angle" is more commonly termed a "revolution." We use 360 for the number of degrees in a full revolution because it divides so well by integer values. Learn the values that divide into 360.
Geometric Problem Set 011, Betz, Webb and Smith	A man, setting his watch, moves the minute hand forward half an hour and then moves it back 8 minutes. How many degrees in the angle between the first and the final position of the minute hand?
Geometric Problem Set 012, Betz, Webb and Smith	A screw required 10.5 complete turns before it was firm in the wood. The depth of the hole was found to be 0.75 inches. How far did a turn of a straight angle drive it?
Geometric Problem Set 013, Betz, Webb and Smith	What is the complement of 24°17'? Of 79°11'? Of 46°34'10"?
Geometric Problem Set 014, Betz, Webb and Smith	Review and Extension exercise for addition and subtraction of adjacent angles.
Geometric Problem Set 015, Betz, Webb and Smith	We explore the rudiments of a proof to show equivalence in the sums and differences of adjacent angles.
Geometric Problem Set 016, Betz, Webb and Smith	We take steps toward the world of basic geometric proofs by looking at a simple review exercise.
Geometric Problem Set 017, Betz, Webb and Smith	There are four angles about a point, of which each after the first is three times as large as the preceding angle. How many degrees in each angle?
Geometric Problem Set 018, Betz, Webb and Smith	How many degrees does the minute hand of a clock traverse in one hour? In one-half hour? In three-fourths of an hour? In five minutes of time?
Geometric Problem Set 019, Betz, Webb and Smith	Change to the lowest indicated denominations: 20°24'; 30°30'; 179°59'60".
Geometric Problem Set 020, Betz, Webb and Smith	How many degrees in an angle which is 12° less than its supplement? Or 18° greater than its complement?
Geometric Problem Set 021, Betz, Webb and Smith	Find two angles, A and B, if half their sum is 48°16'20" while half their difference is 22°52'17".
Geometric Problem Set 051, Math-Aids.com	A worksheet from Math-Aids.com with right triangles asks us to calculate both area and perimeter. I'll work three of the problems, you work the rest.
Geometric Problem Set 052, Math-Aids.com	A worksheet from Math-Aids.com with right triangles asks us to calculate both area and perimeter.
Geometric Problem Set 053, Math-Aids.com	Common triangles may be termed scalene, when no two sides or angles are congruent. The worksheet from Math-Aids.com asks for calculations of both area and perimeter.
Geometric Problem Set 054, Math-Aids.com	Two flavors of triangles comprise this worksheet from math-Aids.com: right triangles and equilateral triangles. We are to calculate both area and perimeter.
Geometric Problem Set 055, Math-Aids.com	From Math-Aids.com is a worksheet with isosceles triangles for which we are asked to calculate both area and perimeter.
Geometric Problem Set 056, Math-Aids.com	Squares are easy for both area and perimeter in this worksheet from Math-Aids.com.
Geometric Problem Set 057, Math-Aids.com	Almost as easy as squares, in this worksheet from Math-Aids.com we're given rectangles for which to calculate both area and perimeter.
Geometric Problem Set 058, Math-Aids.com	From Math-Aids.com, a worksheet to calculate area and perimeter of parallelograms.
Geometric Problem Set 059, Math-Aids.com	We calculate the area and perimeter of trapezoids in this worksheet from Math-Aids.com.
Geometric Problem Set 060, Math-Aids.com	From Math-Aids.com a worksheet with various quadrilaterals for which we will calculate both area and perimeter.
Geometry Problem Set 022, Thatquiz.org	From thatquiz.org, we identify circles, ovals, triangles, squares, rectangles, parallelograms, and rhombuses.
Geometry Problem Set 023, Thatquiz.org	From thatquiz.org, we identify basic shapes including polygons.
Geometry Problem Set 024, Thatquiz.org	Basic number lines. A lesson for arithmetic, algebra, and geometry. You have to know your number lines.
Geometry Problem Set 025, Thatquiz.org	This look at number lines at thatquiz.org applies to arithmetic and algebra as well as geometry.
Plane Figures: Curved Shapes 23	Two annuli, a circle, and a circular sector comprise this problem set for areas of curved shapes, as well as circumference.
Plane Figures: Curved Shapes 24	Two circular sectors, an annulus, and a circle comprise this problem set for areas and dimensions of curved plane shapes.
Plane Figures: Curved Shapes 25	We stumble into a "circular trapezoid," that might be better termed a section of an annulus. Additionally, two circles and a circular sector make up this problem set.
Plane Figures: Curved Shapes 26	An annulus, an annular sector, and two circles comprise this problem set for areas and dimensions of curved planar shapes.
Plane Shapes: Areas and Segments 17	A square, a trapezoid, a rectangle, and a parallelogram comprise four problems of basic area and dimensions.
Plane Shapes: Areas and Segments 18	Two squares, an octagon, and a triangle comprise the four problems in this set.
Plane Shapes: Areas and Segments 19	A rhombus, two isosceles triangles, and an equilateral triangle comprise this problem set for area and dimension.
Plane Shapes: Areas and Segments 20	An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problems set for areas and dimensions of polygons.
Plane Shapes: Areas and Segments 21	A right trapezoid, a rhombus, an isosceles triangle, and an equilateral triangle comprise this problem set for areas and dimensions of polygons.
Plane Shapes: Areas and Segments 22	An isosceles triangle, a trapezoid, a rectangle, and a rhombus comprise this problem set for areas and dimensions of polygons.
Problem Set: Similarity 11	Similar triangles have the same shape, the same angles. We can solve similar triangles with ease.
Problem Set: Similarity 12	Similar triangles have the same shape, the same proportions. Similar triangles have congruent corresponding angles.
Pythagorean Theorem 13	The basic right-triangle formula of a² + b² = c² is demonstrated for the sum of the square of the legs (or catheti) equal to the square of the hypotenuse.
Pythagorean Theorem 14	The basic right-triangle formula of a² + b² = c² is demonstrated for the sum of the square of the legs (or catheti) equal to the square of the hypotenuse.
Pythagorean Theorem 15	The basic right-triangle formula of a² + b² = c² is demonstrated: the sum of the squares of the legs (or catheti) is equal to the square of the hypotenuse.
Solid Shapes and Plane Surfaces 27	Prisms, including the cube and the rectangular parallelepiped comprise this problem set for lengths, areas, and volumes.
Solid Shapes and Plane Surfaces 28	Right prisms and cubes comprise this problem set for calculating lengths, surface areas, and volumes.
Solid Shapes and Plane Surfaces 29	Two pyramids and two right prisms (one a cube) comprise this problem set for determining areas, volumes, and linear dimensions.
Solid Shapes and Plane Surfaces 30	A pyramid with a square base and three prisms comprise this problem set for determination of lengths, areas, and volumes.
Solid Shapes and Plane Surfaces 33	Two cones (right circular), a sphere, and a cylinder (right circular) comprise this problem set for volumes, surface area, and slant height
Solids and Curved Shapes 34	Two spheres, a right circular cylinder, and a right circular cone comprise this problem set for calculation of surface areas and volumes.
Solids and Curved Shapes 35	Two right circular cones, a sphere, and a right circular cylinder comprise this problem set for radii, surface area, and volumetric calculation.
ThatQuiz.org Arithmetic 042	The real number line is important to all facets of mathematics. This is a set for geometry, arithmetic, and algebra. Level 1.