Twelve years' Queen's scholarship questions |
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Page 13
... angle equal to a given rectilineal angle . 6. Find a point in a given straight line , such that its distance from two given points shall be equal . ALGEBRA . 1. Add together 523-3x + 2y ; -x3 + 2x - y ; 7x3 - 4x + 3y . 2. From 2x + 11a ...
... angle equal to a given rectilineal angle . 6. Find a point in a given straight line , such that its distance from two given points shall be equal . ALGEBRA . 1. Add together 523-3x + 2y ; -x3 + 2x - y ; 7x3 - 4x + 3y . 2. From 2x + 11a ...
Page 27
... angle con- tained by the sides of the one greater than the angle contained by the two sides equal to them of the other , the base of that which has the greater angle shall be greater than the base of the other . 4. Triangles upon equal ...
... angle con- tained by the sides of the one greater than the angle contained by the two sides equal to them of the other , the base of that which has the greater angle shall be greater than the base of the other . 4. Triangles upon equal ...
Page 42
... angle . Hence show how to divide an angle into four equal angles . 4. The angles of a triangle are together equal to two right angles . Prove this and enunciate the two corollaries to this proposition . 5. Triangles upon the same base ...
... angle . Hence show how to divide an angle into four equal angles . 4. The angles of a triangle are together equal to two right angles . Prove this and enunciate the two corollaries to this proposition . 5. Triangles upon the same base ...
Page 55
... angle , and of a triangle . Prove that if two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have their bases ...
... angle , and of a triangle . Prove that if two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have their bases ...
Page 56
... angles equal to a given rectilineal triangle . 6. In any right - angled triangle , the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle ...
... angles equal to a given rectilineal triangle . 6. In any right - angled triangle , the square which is described on the side subtending the right angle is equal to the squares described on the sides which contain the right angle ...
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Common terms and phrases
ALGEBRA ARITHMETIC Candidates in Scotland cent centimetres chief circle cost crotchet decametres decimal DICTATION AND PENMANSHIP Dictation Exercise difference Divide DOMESTIC ECONOMY England English equal erasures EUCLID Examiner Explain feet Female Candidates Find the value following passage form one question fractions GEOGRAPHY AND HISTORY Give examples Grammar inches instance be given Investment Languages Latin length lesson letters major scale major third Male Candidates measure MENSURATION miles Moffatt's Multiply Music paper parallelogram Parse the words perfect fourth permitted to answer plural prepositions printed in italic Pupil Teachers reign rhombus right angle rivers SCHOLARSHIP QUESTIONS School Management Scotland may answer SECTION IV SECTION IV.-1 SECTION VII sentence seven questions Show sides specimen of Penmanship teaching thousand THREE HOURS allowed Tonic Sol-fa Translate triangle verbs VIII vulgar fractions yards δὲ καὶ μὲν οἱ τὸ τοῖς τῶν
Popular passages
Page 4 - Where no misgiving is, rely Upon the genial sense of youth; Glad hearts, without reproach or blot, Who do thy work and know it not: Oh!
Page 152 - Farewell! a word that must be, and hath been — A sound which makes us linger; — yet— farewell ! Ye ! who have traced the Pilgrim to the scene Which is his last, if in your memories dwell A thought which once was his, if on ye swell A single recollection, not in vain He wore his sandal-shoon, and scallop-shell ; Farewell! with him alone may rest the pain, If such there were — with you, the moral of his strain.
Page 4 - He was superior to all those passions and affections which attend vulgar minds, and was guilty of no other ambition than of knowledge, and to be reputed a lover of all good men ; and that made him too much a contemner of those arts, which must be indulged in the transactions of human affairs.
Page 33 - Yet must I not give Nature all ; thy art, My gentle Shakespeare, must enjoy a part. For though the poet's matter nature be, His art doth give the fashion ; and, that he Who casts to write a living line, must sweat (Such as thine are) and strike the second heat Upon the Muses...
Page 103 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Page 46 - Still, where rosy pleasure leads, See a kindred grief pursue ; Behind the steps that misery treads, Approaching comfort view : The hues of bliss more brightly glow, Chastised by sabler tints of woe ; And blended, form with artful strife The strength and harmony of life.
Page 18 - In every village mark'd with little spire, Embower'd in trees, and hardly known to fame, There dwells, in lowly shed and mean attire, A matron old, whom we Schoolmistress name : Who boasts unruly brats with birch to tame...
Page 166 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Page 30 - YOU are so little accustomed to receive any marks of respect or esteem from the public, that if, in the following lines, a compliment or expression of applause should escape me, I fear you would consider it as a mockery of your established character, and, perhaps, an insult to your understanding.
Page 13 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.