Queen's scholarship examination. Amner's eight years' scholarship questions ... in Euclid, algebra, & mensuration1879 |
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Page 17
Joseph Wollman. MENSURATION . 5. Find the acreage of a field which has two sides parallel and its two other sides ... Area of parallelogram ABED Area of triangle DEC = BE X DF = ( 250 × 80 ) , or 20,000 sq . links . = DF x EF = = ( 80 ...
Joseph Wollman. MENSURATION . 5. Find the acreage of a field which has two sides parallel and its two other sides ... Area of parallelogram ABED Area of triangle DEC = BE X DF = ( 250 × 80 ) , or 20,000 sq . links . = DF x EF = = ( 80 ...
Page 25
... Then 4x = elder . " " 3 Multiplying each side by 6 Transposing 4-9-3 ( x - 9 ) } 8x549x - 81 } 8x 9x = 54-81 -x = - -27 ..x = 27 age of the younger , 4x and = = 36 ,, elder . 22 3 MENSURATION . SECTION V. 1. Find the area in acres 25.
... Then 4x = elder . " " 3 Multiplying each side by 6 Transposing 4-9-3 ( x - 9 ) } 8x549x - 81 } 8x 9x = 54-81 -x = - -27 ..x = 27 age of the younger , 4x and = = 36 ,, elder . 22 3 MENSURATION . SECTION V. 1. Find the area in acres 25.
Page 26
... Find the diagonal of a square that shall be equal in area to a rectangle of which two adjacent sides are 30 and 20 . Area of rectangle Side of square = = 30 x 20 = = 600 = √600 .. Diagonal of square = √ ( √600 ) 2 + √ ( 600 ) 2 ...
... Find the diagonal of a square that shall be equal in area to a rectangle of which two adjacent sides are 30 and 20 . Area of rectangle Side of square = = 30 x 20 = = 600 = √600 .. Diagonal of square = √ ( √600 ) 2 + √ ( 600 ) 2 ...
Page 40
... find its length and breadth . Let x = the breadth of the garden in yards Then +50 = length : .x ( x + 50 ) = area : .x ( x + 50 ) = 9375 x2 + 50x = 9375 Completing the square Extracting the square root 99 " 9 29 99 } x2 + 50x + ( 25 ) 2 ...
... find its length and breadth . Let x = the breadth of the garden in yards Then +50 = length : .x ( x + 50 ) = area : .x ( x + 50 ) = 9375 x2 + 50x = 9375 Completing the square Extracting the square root 99 " 9 29 99 } x2 + 50x + ( 25 ) 2 ...
Page 42
... Area of garden plot = ( 75 × 50 ) sq . ft . = 3750 sq . ft . وو " " circular beds = 4 ( 62 × .7854 ) = 99 = 4 ( 36 x ... find the letting price per acre . B Perpendicular AD = √AB2 - BD2 500 800 90000 = = √5002 - 4002 = √250000 - 16000 = ...
... Area of garden plot = ( 75 × 50 ) sq . ft . = 3750 sq . ft . وو " " circular beds = 4 ( 62 × .7854 ) = 99 = 4 ( 36 x ... find the letting price per acre . B Perpendicular AD = √AB2 - BD2 500 800 90000 = = √5002 - 4002 = √250000 - 16000 = ...
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Queen's Scholarship Examination. Amner's Eight Years' Scholarship Questions ... Joseph Wollman No preview available - 2015 |
Common terms and phrases
2ax² a²b a²x a²x² ABCD AC.CB acres acute angle ALGEBRA angle ABC angle AEB angle BAC ax² bisected breadth centre circle circumference co-efficient Completing the square diameter Dividing each side equal bases EUCLID factor find the area Find the G.C.M. four times sq given line given point given squares given straight line given triangle greater half the square hypotenuse inches isosceles triangle LONDON SCHOOL BOARD MENSURATION miles Multiplying each side Notes of Lessons number represented opposite angles parallelogram perpendicular proposition prove Pupil Teachers quadrilateral Queen's Scholarship rectangle contained rectangle HK rhombus right angles right-angled triangle Scholarship Examination SECTION Show square Extracting square on GH square root squares described triangle ABC triangle EOD triangle RMN twice rect twice the rectangle unequal x²y yards
Popular passages
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Page 60 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16. And this point is called the centre of the circle.
Page 48 - ... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Page 82 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Page 60 - IF two straight lines cut one another, the vertical, or opposite, angles shall be equal.
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Page 32 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Page 13 - If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.
Page 30 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.