Queen's scholarship examination. Amner's eight years' scholarship questions ... in Euclid, algebra, & mensuration1879 |
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Page 8
... length of course in yards . = A runs 160 yards per minute after accident . And 165x - 900 = No. of yards A has to ... length from a given point without it . Why must the given straight line be of unlimited length ? The straight line must ...
... length of course in yards . = A runs 160 yards per minute after accident . And 165x - 900 = No. of yards A has to ... length from a given point without it . Why must the given straight line be of unlimited length ? The straight line must ...
Page 29
... length of the given distance ? Let A and B be the two given points and C the given distance . Bisect AB in D ( I. 10 ) , and draw EF A at right angles to AB ( I. 11 ) . From A as centre and C as radius cut What is the B D C EF in E and ...
... length of the given distance ? Let A and B be the two given points and C the given distance . Bisect AB in D ( I. 10 ) , and draw EF A at right angles to AB ( I. 11 ) . From A as centre and C as radius cut What is the B D C EF in E and ...
Page 30
... length of the given distance is half the line joining the two points A and B , and then the two points E and F coincide . 3. Any two sides of a triangle are greater than the third side . Construct the triangle when each side is equal to ...
... length of the given distance is half the line joining the two points A and B , and then the two points E and F coincide . 3. Any two sides of a triangle are greater than the third side . Construct the triangle when each side is equal to ...
Page 39
... length of a garden exceeds. Dividing each side by - 5 Substituting the value of y in ( 1 ) Transposing } : ..y = 4 . } 2x 2x - 3 × 4 + 2 = 0 2x- 12 + 2 = 0 2X- 10 = 0 2x = 10 : .x = 5 : .x = 5 and y = 4 . 3. 32x2 - 3 = 20x } 32x2 - 20x ...
... length of a garden exceeds. Dividing each side by - 5 Substituting the value of y in ( 1 ) Transposing } : ..y = 4 . } 2x 2x - 3 × 4 + 2 = 0 2x- 12 + 2 = 0 2X- 10 = 0 2x = 10 : .x = 5 : .x = 5 and y = 4 . 3. 32x2 - 3 = 20x } 32x2 - 20x ...
Page 40
Joseph Wollman. SECTION VIII . 1. The length of a garden exceeds its breadth by 50 yards , the garden contains 9375 yards ; find its length and breadth . Let x = the breadth of the garden in yards Then +50 = length : .x ( x + 50 ) = area ...
Joseph Wollman. SECTION VIII . 1. The length of a garden exceeds its breadth by 50 yards , the garden contains 9375 yards ; find its length and breadth . Let x = the breadth of the garden in yards Then +50 = length : .x ( x + 50 ) = area ...
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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
Page 64 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle.
Page 80 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.
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.
Page 45 - Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.
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.