Examination Questions in Mathematics: Third Series, 1911-1915 |
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Page 10
... feet , find the total distance traveled before it comes to rest . ( b ) Find the coefficient of x4 in 8 I ― • 8. ( a ) Solve x2 + 5x + d = 0 . What is the least integer which , when substituted for d in the equation , makes the roots of ...
... feet , find the total distance traveled before it comes to rest . ( b ) Find the coefficient of x4 in 8 I ― • 8. ( a ) Solve x2 + 5x + d = 0 . What is the least integer which , when substituted for d in the equation , makes the roots of ...
Page 23
... feet , find the total distance traveled before it comes to rest . 7. ( a ) Find the coefficient of x4 in 2x2- ( - ; ) . I 8 4x ( b ) Solve x2 + 5x + d = o . What is the least integer which , when substituted for d in the equation ...
... feet , find the total distance traveled before it comes to rest . 7. ( a ) Find the coefficient of x4 in 2x2- ( - ; ) . I 8 4x ( b ) Solve x2 + 5x + d = o . What is the least integer which , when substituted for d in the equation ...
Page 24
... feet from a basket . A boy , starting from the basket picks up the potatoes and carries them back , one at a time , to the basket . How far must he run to complete the potato race ? 7. ( a ) Write in its simplest form the fourth term of ...
... feet from a basket . A boy , starting from the basket picks up the potatoes and carries them back , one at a time , to the basket . How far must he run to complete the potato race ? 7. ( a ) Write in its simplest form the fourth term of ...
Page 25
... feet greater than the circumference of the front wheel . The front wheel makes 64 more revolu- tions than the rear wheel in traveling 3,496 feet . What is the circumference of each wheel ? 5. Three men A , B , and C can do a piece of ...
... feet greater than the circumference of the front wheel . The front wheel makes 64 more revolu- tions than the rear wheel in traveling 3,496 feet . What is the circumference of each wheel ? 5. Three men A , B , and C can do a piece of ...
Page 34
... feet in diameter , is cut by a straight gravel path 3 feet wide , one edge of which passes through the center of the plot . What is the area of the remaining grass plot ? 8. ABC is an equilateral triangle . AO and BO bisect the base ...
... feet in diameter , is cut by a straight gravel path 3 feet wide , one edge of which passes through the center of the plot . What is the area of the remaining grass plot ? 8. ABC is an equilateral triangle . AO and BO bisect the base ...
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Examination Questions in Mathematics. Third Series, 1911-1915 College Entrance Examination Board No preview available - 2016 |
Common terms and phrases
AI-ALGEBRA TO QUADRATICS Answer both questions Answer four questions Answer two questions answer-book what text-book Arithmetic means arithmetic progression Associate properly bisects candidate is requested cent chord circle Construct a triangle cylinder decimal places Derive the formula diagonals dihedral angle Examination questions external segment extra credit Factor GROUP feet Find the area Find the length Find the number Find the value geometrical progression given points inches intersect logarithms MATHEMATICS A2-QUADRATICS MATHEMATICS AI-ALGEBRA MATHEMATICS B-ADVANCED ALGEBRA MATHEMATICS C-PLANE GEOMETRY MATHEMATICS D-SOLID GEOMETRY MATHEMATICS E-TRIGONOMETRY PLANE MATHEMATICS F-PLANE TRIGONOMETRY Monday No extra number of days octahedron Omit one question p. m. Six questions parallel parallelogram parallelopiped properly the values QUADRATICS Monday questions are required right angles right spherical triangle Rule of Signs satisfy the equation Saturday MATHEMATICS F-PLANE secant Simplify sin² SOLID GEOMETRY square straight line tangent textbook of Geometry theorem Three numbers triangle ABC Tuesday MATHEMATICS D-SOLID
Popular passages
Page 47 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Page 46 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180° and less than 540°. (gr). If A'B'C' is the polar triangle of ABC...
Page 25 - Three men, A, B, and C, can do a piece of work in 18, 24, and 36 hours, respectively.
Page 36 - If two polygons are composed of the same number of triangles, similar each to each, and similarly placed, the polygons are similar.
Page 38 - It follows from § 259 that if through a fixed point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and its external segment.
Page 46 - The areas of two similar triangles are to each other as the squares of any two homologous sides.
Page 46 - If from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other secant and its external segment.
Page 44 - If a straight line is perpendicular to each of two other straight lines at their point of intersection, it is perpendicular to the plane of the two lines.
Page 36 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it. c Hyp. In A abc, p is the projection of b upon c, and the angle opposite a is obtuse. To prove a. = V + c2 + 2cp. Proof. a2 = K
Page 36 - Two triangles are congruent if the three sides of the one are equal, respectively, to the three sides of the other.