Wentworth and Hill's Examination Manuals: Algebra, Issue 2Ginn, Heath & Company, 1884 - Algebra |
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Common terms and phrases
a²x² ab³ arithmetical mean arithmetical progression arithmetical series ax² base binomial theorem bx² cent common difference decimal digits Divide Entrance Examination equal equation whose roots Examination for Admission Expand expression Extract the square feet Find the H.C.F. Find the length Find the limit Find the number Find the square Find the sum Find the value four numbers geometrical progression geometrical series HIGHER ALGEBRA inches June loga lowest terms miles an hour miles per hour minutes Multiply number of terms partial fractions Prove quadratic equation quantities quotient ratio Reduce Resolve into factors Show simplest factors simplest form Simplify simultaneous equations Solve 3x Solve the equations Solve the simultaneous square root Subtract things taken three numbers UNIVERSITY OF CAMBRIDGE UNIVERSITY OF OXFORD walking x² a² x²+xy x²y xy² yards
Popular passages
Page 24 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Page 137 - Not more than three questions are to be answered. The number of marks assigned to each question is given in brackets. 1. Find the value, when x = 5 and y = 3, of x< - 4^y + 6arу - 5xf + 2?/ ,-g -, -v4 2.
Page 62 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 124 - Prove that a ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same number to each of its terms.
Page 66 - A and B set out to meet each other. A went 3 miles the first day, 5 the second, 7 the third, and so on. B went 4 miles the first day, 6 the second, 8 the third, and so on. In how many days did they meet?
Page 146 - ... slowly than himself. Find the distance of the town from the starting point, and the rate at which each man walks. 8. Three lamps of equal brilliancy are placed in three different corners of a square room. Compare the intensities of light at the fourth corner and at the centre of the room, assuming that the illumination from a source of light varies inversely as the square of its distance. 9. Show how to insert any number of harmonic means between two given quantities. If 2p and...
Page 20 - The denominator of a fraction exceeds the numerator by 4 ; and if 5 is taken from each, the sum of the reciprocal of the new fraction and four times the original fraction is 5: find the original fraction.
Page 126 - A and В set out at the same time from the same spot to walk to a place 6 miles distant and back again. After walking for 2 hours, A meets В coming back. Supposing В to walk twice as fast as A, and each to maintain uniform speed throughout, find their respective rates of walking. II. HIGHER ALGEBBA.
Page 44 - The plate of a looking-glass is 18 inches by 12 inches, and it is to be framed with a frame of uniform width, whose area is to be equal to that of the glass. Find the width of the frame.
Page 66 - B went 4 miles the first day, 6 the second, 8 the third, and so on. In how many days did they meet? 4. The sum of three numbers in harmonical progression is 37, and the sum of their squares is 469. Find the numbers. 5. Expand to six terms, in a series of ascending powers of x, the fraction l + 2x • — x — з?