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OCR 2024 GCSE Mathematics J560/05 Paper 5 (Higher Tier) With Marking Scheme Merged
OCR 2024 GCSE Mathematics J560/05 Paper 5 (Higher Tier) With Marking Scheme Merged MATHEMATICS Oxford Cambridge and RSA Monday 3 June 2024 – Morning GCSE (9–1) Mathematics J560/05 Paper 5 (Higher Tier) Time allowed: 1 hour 30 minutes You must have: • the Formulae Sheet for Higher Tier (inside this document) You can use: • geometrical instruments • tracing paper Do not use: • a calculator * J H 5 6 0 0 5 * Please write clearly in black ink. Do not write in the barcodes. Centre number First name(s) Last name INSTRUCTIONS Candidate number • Use black ink. You can use an HB pencil, but only for graphs and diagrams. • Write your answer to each question in the space provided. If you need extra space use the lined pages at the end of this booklet. The question numbers must be clearly shown. • Answer all the questions. • Where appropriate, your answer should be supported with working. Marks might be given for using a correct method, even if your answer is wrong. INFORMATION • The total mark for this paper is 100. • The marks for each question are shown in brackets [ ]. • This document has 20 pages. ADVICE • Read each question carefully before you start your answer. 2 1 Work out. 1.2 ' 0.03 ........................................................... [2] 2 Kai has these four number cards. 0 2 5 9 Kai takes two of the cards at random without replacement and finds the positive difference between the two numbers. (a) Complete the table to show all of the possible differences. First card Difference 0 2 5 9 0 2 5 9 2 2 3 Second card 5 5 9 9 [2] (b) Find the probability that Kai takes two cards with a difference that is an even number or a factor of 10. (b) ..........................
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Get ready to excel in college-level mathematics with this comprehensive exam study guide. It features 40 challenging questions covering key concepts in mathematics, with detailed explanations and solutions to help you understand the reasoning behind each answer. This study guide is designed to help you improve your problem-solving skills, boost your exam-taking confidence, and achieve a high score on your college math exam. Whether you're a student, a tutor, or a teacher, this guide is an essential resource for mastering college-level math.
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£1.50 Preview RemoveSquare root of two is irrational : truth table LOGICAL PROOF
This is a truth table proof of one of the first calculus (real analysis) topics "irrationality of root two". Here I have provided a truth table chart showing that square root of two is irrational (cannot be expressed in p/q form). The usual approach is by the proof by contradiction method. Here we analyze differently with a truth table chart and finally show, even to skeptics who do not believe quickly, that the statement "square root of two is irrational" is indeed true.
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