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Cape past papers pure mathematics unit 1
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Each section consists of 2 questions. The maximum mark for each Module is The maximum mark for this examinatio n is This examination consists of 5 printed pages.
DO NOT open this examination paper until instructed to do so. Write your solutions, with full working, in the answer booklet provided. Unless otherwise stated in the question, any numerical answer that is not exact MUST be written correct to three significant figures. All rights reserved. Find the values of the real constants p, q and r. The midpoint of PQ is M. Sketch the graph of C and label the x-intercepts. Find the value of the constant k.
The can has a volume of 45 1t units3. Each section consists of 1 question. The maximum mark for this examination is This examination consists of 3 printed pages. Given that the curve passes through the point 0, 1 , find its equation. Find the values of a and r. Prove that if x is so small that x3 and higher powers o f x can be neglected, then I 1 —x.
This examination consists of 4 printed pages. In each succeeding week after the first, he added twice the amount deposited in the previous week. This examination consists of 6 printed pages. Find the values of the constants p and k. Find the coordinates of P, A and B. The sides of the base are 2x em and 3x em, and its height is h em. X 5 ii Find the height of the box for which its volume V cm3 is a maximum. The diagram below shows the path o f a com et around the sun S.
Liquid is poured into the bowl at the rateof cm3 per second. Selection of vehicles for tours of distances in km is as follows: x cars, 2y coaches and 3z buses cover 34 lan tours. Starting at P, through O and finishing at Q, 51 vertical cables are bolted 1 metre apart to the roadway and to the support cable POQ.
The shortest vertical cable OAhas a length of 5 metres, where O is the lowest point of the support cable. Find, in termsis of [4 marks] ii Hence, obtain the total cost of installing the 5 1 vertical cables. This examination consists of 7 printed pages. Shaded squares, each of side x em, are removed from each comer. The remainder is folded to form a tray. DO NO T open this examination paper until instructed to do so. Unless otherwise stated in the question, any numerical answer that is not exact M UST be written correct to three significant figures.
Find the maxii [4 marks] ii Find the Cartesian equation o f the curve traced by the point. Find i the values b and ocf b and c theo fvalues to curve the curve ii the equation o f the normal tolalthe at P. The volume of air in the balloon is increased or decreased as required. Express your answer in terms o f n. Find p. Find the possible values of the real number p. Mr Smith will not join the committee without his wife, but his wife will join the committee without him.
Calculate the number of ways in which the committee of 4 persons can be formed. Find the probability that [4 marks] i the numbers on BOTH balls are even ii the number on one ball is odd and the number on the other ball is even.
Find, to the nearest dollar, i John's salary for the tenth year with the company ii the TOTAL amount of money which the company would have paid to John at the end of his first ten years with the company.
A committee of 10 persons is to be selected to organize a tournament. Calculate the number of ways in which the committee can be selected if the number of students must be greater than or equal to the number of staff members. The coordinates of points P and Q are 2, 4 and 3, 0 respectively. Calculate the coordinates of the points of intersection of C1 and C2.
Use the results in a i and ii to find these roots. A surveyor models the boundaries and extent of a triangular plot of land on a Cartesian plane as shown in the diagram below not drawn to scale.
A piece of wire, 60 cm long, is bent to form the shape shown in the figure below, not drawn to scale. The shape consists of a semi-circular arc of radius r cm and three sides of a rectangle of height x cm. Total 25 marks 2. Find the first term a and the common difference d. Initially, the population is y0 and it doubles in size in 3 days.
Find the common ratio of the series. His calculations are summarised in the table below. Find the possible equations of C2. Give a reason for your answer. Find i the values of the constants p and q [6 marks] ii the equation of the normal to the curve at T [3 marks] iii the length of MN. A and B are stationary points on the curve. The outside surface of the container is S cm2, the radius is r cm and the height is h cm.
Show that the series is an Arithmetic Progression A. The other rows remain unchanged. The distances are measured in metres.
Initially, the population consists of individuals. Find b i the values of the constants p and q [7 marks] ii the factors of f x. Water is poured into the vessel at the rate of 10 cm3 per second. At time, t, seconds after the start of the pouring of water, the height of the water in the vessel is x cm and its volume is V cm3. His program generates a list of all permutations of any set of letters that it is given, without regard for duplicates.
For example, given the letters TTA, it will generate a list of six 3-letter permutations words. If the program generates a list of all 8-letter permutations of TELESTEL, without regard for duplicates, b i how many times will any given word be repeated in the list? Show that f is one to one. The letter x represents the length o f the rectangular section and r represents the radius o f the semicircle. Show clearly ALL intercepts that may be present.
Determine the coordinates of the positions of the legs of the table. Justify your answer. Find the volume of water that the tank can hold. When a letter is selected, it is classified as either a vowel V or a consonant C. Show all probabilities on the diagram.
Determine whether the solution of the new system is unique. Let the event that: the traveller is caught be denoted by D, and the event that airport A, B, or C is used be denoted by A, B, and C respectively.
What is the probability that the traveller used airport C? What is the probability that a legal word is formed on a single attempt? Cape Pure Mathematics August 0.
Cape Pure Mathematics Unit 1 October December October 1, El Lenguaje Del Petroleo December Preguntas Poderosas April
Please ensure that you have all practice papers! Speed, Accuracy and Precision!. Cape Pure Mathematics - AbeBooks. Sketch the triangle on the Cartesian plane. Just as the plane lands the dial reads. Get this from a library!
Pure Mathematics Unit 1 AND Applied Mathematics Unit 2. cases, questions from past CAPE Mathematics examination papers were used for.
Solutions To CAPE PURE Mathematics Unit 1
The author has asserted their right to be identified as the author of this work in accordance with the Copyright, Design and Patents Act All rights reserved; no part of this publication may be reproduced, stored in a retrieval system, transmitted in any form, or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publishers. Each section consists of 2 questions. The maximum mark for each Module is
Uploaded by. Paper 1 Mark Scheme. Doing Edexcel AS Pure Maths past papers is always regarded as a necessary step to gaining confidence.
In the real number system, the inverse of 5. Which of the following statements is true?
Grade5maths provides a cognitive learning environment for the students of grade 5 to enhance their mathematical skills. A diversified range of topics are covered to help students practice a wider spectrum of questions and get a strong hold on their relatively weaker areas. What is mathematics? Therefore, i have successfully completed cxc's csec general mathematics and cape pure mathematics units 1 and 2 before obtaining a degree in economics and mathematics.
Именно эта целеустремленность всегда изумляла, эта неколебимая верность принципам, стране, идеалам. Что бы ни случилось, коммандер Тревор Стратмор всегда будет надежным ориентиром в мире немыслимых решений. - Так ты со мной, Сьюзан? - спросил. Сьюзан улыбнулась: - Да, сэр. На сто процентов.
Мне нужна твоя помощь. Сьюзан плохо его понимала. Ей показалось, что столь своевременная кончина Танкадо решила все проблемы. - Коммандер, - сказала она, - если власти говорят, что он умер от сердечного приступа, это значит, мы к его смерти не причастны.