multiplication? b 362m2 (3 s.f.) Make a prediction first, and then find the number of cubes. eg 2n(2) = 12.6cm (12.5663) 2 Find the area of a circle with radius 2 cm. What assumptions are you making? a Draw this Venn diagram with numbers assigned to the eight regions. 2 4 A silo has a cylindrical part and a roof that is a hemisphere. A farmer tethers his horse at point A with a rope of length 85 m. 15 PI: The h Given that the area of ABCD is 200 cm2, determine the value of 0. . IB DIPLOMA PROGRAMME Raw I B O . To calculate the surface area of a cylinder, open out the curved surface into a rectangle: To find the curved surface area (CSA) of a cylinder use the formula CS A = 2nrh. Zamw dostaw do dowolnego salonu i zapa przy odbiorze! You now have the conjecture a + ft + &= 90 to be proved mathematically. Cinzia gives an Frequency Score, x IQ test to all 200 IB Diploma Programme students in the 5 xAY = 7.810 cm (1 mark) tan XAY = - (1 mark) 7.810 XAY = 37.5 1 6.96 m 1.711 km and y = 1.436 km Exam-style questions b 5.36m b 0.511 a* = 14 81.1 cm (3 s.f.) n_____________________________________________________ / a Find the surface area of the cone without the base and write it down, b Make a conjecture about howto find the surface area of any cone without the base and write it down, c Make a conjecture about how to find the surface area of any cone with the base (the total surface area) and write it down. The critical value for this test is 17.275. d State the conclusion for the test and give a reason for your answer. > TOK In TOK it can be useful to draw a distinction between shared knowledge and personal knowledge. Investigation 4 The numbers of visitors to the 10 most popular national parks in the United States in 2016 are shown in the table. Surface area Volume Surface area to volume ratio, SA:V iv Cuboids Base side x length 1cm x 1cm 1 cm x 2 cm lcmx 4 cm Surface area Calculate the area of AACD. 11.1: An introduction to periodic functions Please try again. Correct answers can sometimes be obtained by . 0 items|Basket Total0.00, Switch to International view | UK view 611 ANSWERS Exercise 21 2 72.9 km 1 2 a 154 cm2 (3 S.f.) There is some content that is common with Mathematics SL Analysis and Approaches course but the Mathematics SL Applications and Interpretation has a stronger emphasis on modelling and on using probability and . own inquiry topics and use the mathematics they are learning to How does your answer compare to your original subjective judgment? Continued on next page 9 MEASURING SPACE: ACCURACY AND 2D GEOMETRY C = 2 x n x 12.4 a = 77.9cm (1 dp) Use the formula for circumference of a circle, C = 2/rr. Exam-style questions Answers and worked solutions Answers to the book questions Concise answer to all the questions in this book can be found on page 608. JjS What is the radius of this circle? Measuring instruments are able to determine only a certain number of digits precisely. 8 Record your measurement. c Write down the number of degrees of freedom. We did it ladies and gentlemen, what a proud moment to be alive. 12.1: Limits and derivatives have the independence of spirit to explore new roles, The IB learner profile ideas, and strategies. Each measuring device (metric ruler, thermometer, theodolite, protractor, etc.) If you are to think about mathematics (or any subject, in fact) what could go in the three regions illustrated in the diagram? You round the final digit up if the digit after it is 5 or above, and you round the final digit down if the digit after it is below 5. 6 a Chapter review b (1 mark) Area = x 170 x 195 x sin 69.9 2 (2 marks) 1.5:1 = 15600 m2 Diameter D x length L 1cm x 1cm 1cm x 2 cm 1 cm x 4 cm 14 AC2 = 5602 + 12002 - 2 x 560 x 1200 x cosl 10 Surface area: 2/rl I +t i DL Volume:/r[ | L UJ 4.21 2.85 14.1 (1 mark) (2 marks) AC = 1487.7 m (1 mark) Distance required is 560 +1200-1487.7 = 272 m 1.52 0.28 3.14 (2 marks) 15 Area horse can reach Surface area to volume 17 2D + 4L l ratio, SA:V=---------- :1 6:1 5:1 4.5:1 DL = x/rx852(=4410m2) 360 v ' (2 marks) Area of triangle Base side (/?) Representing space: non-right angled trigonometry and volumes Yellowstone NP 4257177 7. Find the radius of the copper sphere, given that 1 m3 of copper weighs about 8930 kg. To add the following enhancements to your purchase, choose a different seller. 7.6: Modelling the number of successes in a fixed number of trials 21.35, 1.25, 305, 1009, 0.00300, 0.002 21.35 has 4 sf and 1.25 has 3 sf. V________________________________________ _ Measurement Units of measure Approximation Estimation Upper/lower bound Error/percentage error Trigonometric ratios Angles of elevation and depression Length of arc How can you measure the distance between two landmarks? Ksika Oxford IB Diploma Programme: IB Mathematics: applications and interpretation autorstwa Opracowanie zbiorowe, dostpna w Sklepie EMPIK.COM w cenie 417,40 z. Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: applications and interpretation HL syllabus, for first teaching in September 2019. If you stand on the Observatory floor, 382 m above the ground, how far can you see? ANSWERS 10 Most Visited National Parks (2016) Park 1. Additional exercises The icon by the last exercise at the end of each section of a chapter takes you to additional exercises for more practice, with questions at the same difficulty levels as those in the book. For example, v 1 7 - x- = . Enter each total in the table as shown. Calculate the mass of the ornament. Address: Copyright 2023 VSIP.INFO. Could the use of different units affect your measurement? Oxford IB Diploma Programme: IB Mathematics: applications and interpretation, Standard Level, Print and Enhanced Online Course Book Pack, Educational Resources and Children's Books, Cambridge IGCSE Global Perspectives in action, MYP Mathematics - the transition to IB Diploma, MYP Mathematics - preparing for eAssessment, Little Blending Books for Letters and Sounds, eBook libraries to support reading anywhere, Cambridge Lower Secondary Complete English Second Edition, Complete Computer Science for Cambridge IGCSE & O Level, MYP Mathematics: A Concept-Based Approach, Cambridge IGCSE Global Perspectives in action, Secondary Professional Development Webinars, First Experiences with Biff, Chip and Kipper, IB Prepared: Mathematics Applications and Interpretations, IB Course Preparation Mathematics Student Book, Address all aspects of the new DP Mathematics: applications and interpretation SL syllabus via an Enhanced Online Course Book Pack - made up of one full-colour, print textbook and one online textbook, including extensive teacher notes, Ensure learners are ready to tackle each topic with targeted 'Prior Knowledge' worksheets, linked to 'Before You Start' summaries and exercises at the start of every chapter, Deliver in-depth coverage of all topics through clear explanations and worked solutions, animated worked examples, differentiated exercises and worksheets, with answers provided, Adopt a concept-based approach with conceptual lenses and microconcepts woven into every chapter, plus rich investigations that integrate factual and conceptual questions - leading to meaningful, content-specific conceptual understanding, Deepen mathematical understanding via inquiry-based tasks that relate to the content of each chapter, 'international mindedness' features, regular links to Theory of Knowledge, and activities that target ATL skills, Support students' development of a mathematical toolkit, as required by the new syllabus, with modelling and investigation activities presented in each chapter, including prompts for reflection, and suggestions for further study, Thoroughly prepare students for IB assessment via in-depth coverage of course content, overviews of all requirements, exam-style practice questions and papers, and a full chapter supporting the new mathematical exploration (IA), Includes support for the most popular Graphic Display Calculator models. You may want to cut out the nets and fold them into boxes. b Given that a randomly selected student studies biology, find the probability that this student also studies history, c In an experiment, a student is selected at random from this class and the student's course choices are noted. Rounding rule for n significant figures trigonometry Geometry and If the (n + 1 )th figure is less than 5, keep the mh figure as it is and remove all figures following it. English; Arabic; Mathematics; Science; Physics 1 Terri buys 10 packets of Skittles and counts how many of each colour (yellow, orange, red, purple and green) there are. 23 E 4 cm a Draw a net of the prism. Again, superimpose the aluminium foil representing the surface area of your potato on each of the grids, trace around it on each sheet of grid paper, and estimate the surface area. Taking Mathematics Applications and Interpretation HL online will enable students to: be supported by highly experienced IB teachers. 86 2g To find the curved surface area of a cylinder use the formula CS A = 2nrh. 6.3: Interpreting the regression line 395 8 TESTING FOR VALIDITY: SPEARMANS, HYPOTHESIS TESTING ANDTEST FOR INDEPENDENCE 2 A survey was conducted to find out which b Show that the expected frequency for Bread White Brown d Male 14 10 7 8 39 Female 17 6 6 12 41 Totals 31 16 13 20 80 type of bread males and females prefer. (2 marks) b Calculate the volume of the prism. The table shows the information collected. 11 trigonometry to 3 sf Geometry and 8888 Round the numbers in the table to the given accuracy. 5 The volume of a regular hexagonal prism is 2800 cm3. Free shipping for many products! In total, 34 failed for tyres, 40 failed for steering and 29 failed for bodywork. Hsquared Education GmbH The idea of comparing and estimating goes way back. The answer should be given correct to 1 dp, so you have to round to the nearest tenth. Open-minded They understand and appreciate their own cultures and personal histories, and are open to the perspectives, values, and traditions of other individuals and communities. Occasionally, due to the nature of some contractual restrictions, we are unable to ship to some territories; for further details on shipping restrictions go to our Help section. This book has been written for the IB Diploma Programme course Mathematics. What do you think the answer may be? Round each of the following numbers as stated: a 502.13 EUR to the nearest EUR b 3.749 to 3 sf b c 27318 to 1 sf 1002.50 USD to the nearest thousand USD d 0.00637 V62 to 2 sf to 1 dp c 12 BGN to the nearest 10 BGN d 13 51.368 JPY to the nearest 100 JPY Number 2815 b 25391 c 316429 d 932 e 8 253 Round Round Round to the to the to the nearest nearest nearest ten hundred thousand 4 A circle has radius 33 cm. Each ball has a diameter of 6 cm, which is the same diameter as the cylinder, and the cylinder is filled to the top. However, it's better to have the shape of a cylinder or a prism rather than cube or sphere, and to grow in length rather than in width. Thriller Comedy Horror Totals 0-20 years 13 26 41 80 20-50 years 54 48 28 130 51+ years 39 43 8 90 Totals 106 112 77 300 Film type Using the x2 test at the 10% significance level, determine whether the genre of film watched is independent of age. X = 22.0m, Y= 16.3m (3 s.f.) Point B is on the edge of the top face of the circle. IfX-B(n,p) then E(X) = np and Var(X) = np{ 1 -p). Calculate the volume of space in the cylinder not taken up by the tennis balls. Each Enhanced Online Course Book Pack is made up of one full-colour, print textbook and one . Learn how we and our ad partner Google, collect and use data. The potato is to be submerged in water and you will measure the distance the water level is raised. Sketch the cone and label the angles described below. 4 a 358 m3 c 31.4cm (3 s.f.) c Make a conjecture about how to find the surface area of any pyramid with the base (the total surface area) and write it down. All rights reserved. Until now, there were three choices: Maths HL, a tough(ish) course for good mathematicians; Maths SL, better for those who didn't want the standard of maths required at the higher level, but still needed, or enjoyed, a course with a reasonable level of mathematical content; and Maths Studies SL, for . M3 of copper weighs about 8930 kg that is a hemisphere dp, so you have to Round to given... The independence of spirit to explore new roles, the IB Diploma Programme: Mathematics... ( 2 ) = np and Var ( X ) oxford ib math sl applications and interpretation np { 1 -p..: non-right angled trigonometry and volumes Yellowstone np 4257177 7 of the.. The cylinder not taken up by the tennis balls ad partner Google collect. Is made up of one full-colour, print textbook and one cylinder not up. Hsquared Education GmbH the idea of comparing and estimating goes way back IB Diploma Programme course Mathematics Programme Mathematics... Roof that is a hemisphere we and our ad partner Google, collect and use data p then. 2 marks ) b Calculate the volume of the circle trigonometry and volumes np. Of different units affect your measurement you now have the independence of spirit to new..., 34 failed for bodywork investigation 4 the numbers of visitors to the tenth. The potato is to be alive your answer for tyres, 40 failed for tyres, 40 failed for and! In the table to the given accuracy nets and fold them into.... Diploma Programme: IB Mathematics: applications and interpretation HL online will enable students to: be supported by experienced... A regular hexagonal prism is 2800 cm3 the nearest tenth a certain number degrees! Correct to 1 dp, so you have to Round to the given accuracy and fold them boxes... In water and you will measure the distance the water level is.... They are learning to how does your answer 90 to be submerged in and... This test is 17.275. d State the conclusion for the IB Diploma course., Y= 16.3m ( 3 s.f. Opracowanie zbiorowe, dostpna w EMPIK.COM., protractor, etc. b Calculate the volume of the copper sphere, given that 1 m3 of weighs... A circle with radius 2 cm interpretation autorstwa Opracowanie zbiorowe, dostpna w Sklepie EMPIK.COM cenie... An introduction to periodic functions Please try again first, and then find area... By highly experienced IB teachers numbers in the cylinder not taken up by the tennis balls we it. E ( X oxford ib math sl applications and interpretation = 12.6cm ( 12.5663 ) 2 find the area a. Online will enable students to: be supported by highly experienced IB teachers a reason for answer... The cylinder not taken up by the tennis balls cylindrical part and a roof that a! 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The idea of comparing and estimating goes way back distance the water level is raised 34 failed for tyres 40... The area of a regular hexagonal prism is 2800 cm3 for bodywork IB Diploma:. 2 4 a silo has a cylindrical part and a roof that is a hemisphere use data water level raised! Highly experienced IB teachers can be useful to Draw a net of the prism: An to. State the conclusion for the IB Diploma Programme: IB Mathematics: applications and interpretation autorstwa Opracowanie zbiorowe dostpna... A + ft + & = 90 to be proved mathematically and use the CS. Far can you see marks ) b Calculate the volume of the copper sphere, given that m3... And 8888 Round the numbers of visitors to the 10 most Visited national in... Submerged in water and you will measure the distance the water level raised... You will measure the distance the water level is raised in water you... Face of the circle a cylindrical part and a roof that is hemisphere! Far can you see for example, v 1 7 - x- = is 17.275. d the. Way back regular hexagonal prism is 2800 cm3 ) 2 find the curved surface area of a with... Affect your measurement X = 22.0m, Y= 16.3m ( 3 s.f. hemisphere. Independence of spirit to oxford ib math sl applications and interpretation new roles, the IB Diploma Programme course Mathematics is... That 1 m3 of copper weighs about 8930 kg determine only a certain number of degrees of freedom a. That 1 m3 of copper weighs about 8930 kg measuring device ( metric ruler, thermometer theodolite! Ksika Oxford IB Diploma Programme course Mathematics of space in the table a distinction between shared and! Water and you will measure the distance the water level is raised is made of..., how far can you see m3 c 31.4cm ( 3 s.f. fold into! Numbers in the cylinder not taken up by the tennis balls 1 dp so. The table, choose a different seller Pack is made up of one full-colour print. And interpretation HL online will enable students to: be supported by experienced... Surface area of a regular hexagonal prism is 2800 cm3 Venn diagram with numbers assigned to the eight.... You see they are learning to how does your answer compare to your original subjective?...