## Examination Papers for Science Schools and Classes |

### From inside the book

Results 1-5 of 80

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**Three hours**are allowed for this paper . Section 1. - Arithmetic . 1. The cost of labour in producing a certain article was 181. 19s . 11d . It was made by five persons who severally spent two , three , four and a half , six , and eight ... Page 26

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**Three hours**are allowed for this paper . Section A. - Arithmetic and Algebra . 21. Given 1 5 = 2.236068 , express and / 20 5-2 √5 + 2 as decimals , true to the fifth place . ( 18. ) 22. Solve the equations ( a . ) x3 - 2x2 - 3x + 4 = 0 ... Page 28

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**Three hours**are allowed for this paper . Section A. - Miscellaneous . 41. Find all the values of x and y that ... 3 ) and simplify them . ( 30. ) 43. How many numbers are there between 999 and 10,000 , in expressing which not more than ... Page 30

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**Three hours**are allowed for this paper . 61. Show that if ae - 4bd + 3c = 0 , and ar + 4bx3y + 6cx y2 + 4dxy3 + ey1 = 0 , then ( ax2 — cy2 ) ( cx2 — ey2 ) + 4xy ( bx + cy ) ( cx + dy ) = 0 . 62. Show that the following system of ... Page 33

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**three hours**. Fourth Stage . - Subjects : Plane , Solid , and Descriptive Geometry and Geometrical Conics ... 3. In a given circle inscribe a regular decagon . If a regular pentagon be inscribed in the same circle , prove that the square ...### Other editions - View all

### Common terms and phrases

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### Popular passages

Page 21 - The complements of the parallelograms, which are about the diameter of any parallelogram, are equal to one another.

Page 23 - Prove that parallelograms on the same base and between the same parallels are equal in area.

Page 22 - If a straight line drawn through the centre of a circle bisect a straight line in it which does not pass through the centre, it shall cut it at right angles : and if it cut it at right angles, it shall bisect it.

Page 76 - The value attached to each question is shown in brackets after the question. But a full and correct answer to an easy question will in all cases secure a larger number of marks than an incomplete or inexact answer to a more difficult one.

Page 1 - GENERAL INSTRUCTIONS. If the rules are not attended to, the paper will be cancelled. You may take the Elementary or the Advanced or the Honours paper, but you must confine yourself to one of them.

Page 28 - If two triangles have two sides of the one equal to two sides of the...

Page 23 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.

Page 21 - ... the same side together equal to two right angles ; the two straight lines shall be parallel to one another.

Page 105 - Put the number of the question before your answer. You are to confine your answers strictly to the questions proposed. Your name is not given to the Examiner, and you are forbidden to write to him about your answers.

Page 21 - DE : but equal triangles on the same base and on the same side of it, are between the same parallels ; (i.