EXAM HINT In exams, give your answers as exact or accurate to 3 sf, unless otherwise specified in the problem. Write down the null and alternative hypotheses, b Show that the expected value for a female liking pop is 21. c Write down the number of degrees of freedom. High-Quality Solutions for Grades K-12. a (1 mark) = 12a 4 b 11 a b 3291km 26.11 m (nearest cm) 15.64m 12 237 m 13 a d (x2)5 v } (a ) - x-10 (2 marks) ^ = x2 (1 mark) 23.5-1.6 = 21.9 a 21.9 land =------ 100 0 = 12.4 355 n-113 x 100 20 (1 mark) (2 marks) (1 mark) (2 marks) 71 : 8.49 X 10"6% (1 mark) 609 ANSWERS 21 Let x be the horizontal distance from Sharon to both the yacht and the kittiwake. 1 Round the following measurements to 3 significant figures. What measures can you use to decide? You write X follows a normal distribution with parameters p and O'2 or X-N(p, a2). If you are to think about mathematics (or any subject, in fact) what could go in the three regions illustrated in the diagram? 10 Most Visited National Parks (2016) Park 1. 88 Click here for a mixed review exercise e Determine the area of sector OFL. . Glacier NP 1 Recreational Visits \ 2946681 Which park had the most visitors? a The scores for IQ tests are normally distributed with a mean of 100 and standard deviation of 10. a Exercise 2F 3 Exercise 2D Exercise 2B 1 a 6 965 m2 Exercise 2A 1 a a b 51.5 (3 s.f.) The Mathematics: applications and interpretation Standard and Higher Level books follow a similar chapter order, to make teaching easier when you have SL and HL students in the same class. 6 is Solids A prism is a solid shape that has the same shape or cross-section all along its length. creativity of mathematics which, inherently, is a The DP syllabus states the essential understandings network of interconnected conceptual relationships. M b Hence calculate the value of x. c Hence find the probability that a car selected at random from this data set failed for at least two reasons. Click here for help with this skills check Find the circumference of a circle with radius r = 5.3cm. To find the total surface area of a cylinder, find the curved surface area and add on the areas of the two circular ends: Total surface area = 2nrh + 2nr2 The formula for the surface area of a sphere is S A = 4nr2 The curved surface area of a cone uses the length of the slanted height /: CSA = nrl To find the total surface area of the cone, add the area of the circular base: SA = 7tr/+ nr2 To find the total surface area of a pyramid, add together the areas of all the faces. Remember to write down the null and alternative hypotheses. ${cardName} unavailable for quantities greater than ${maxQuantity}. Write down the table of expected values. 3 Three hundred people of different ages were interviewed and asked which genre of film they mostly watched (thriller, comedy or horror). It hasn't been updated for the . IB Mathematics Applications and Interpretation Study Guides Now in their 4th edition, our IB Maths study guides have been the go to study resource for IB Maths students for more than 15 years. a Calculate angle BAC. 10.1: Geometric sequences and series ------1 Sat Sun 93 204 90 | Day Mon Tues Wed Thurs Fri Frequency 148 98 103 106 The calls are uniformly distributed. F Compare results 19 Compare your potato measurements with the measurements of another group. Belinda sees the same bird at an angle of elevation of 42. 270 6.1 3 A biologist is studying the relationship between height above sea level and the numbers of certain species of plant at that particular height over an area of 100 m2. c 4 22.0cm2 (3 s.f.) (3 s.f.) 2 Hence find the probability that a person chosen at random from those surveyed: b listens to music on exactly one device c listens to music on exactly two devices. Find the probability that when choosing one of the consumers surveyed at random, a consumer who only has a smartphone is chosen, c In a population of 10000 consumers, predict how many would have only a tablet computer. The digits that can be determined accurately or with some degree of reliability are called significant figures (sf). Book reviews, interviews, editors' picks, and more. 3 Given a net, generate a formula for finding the number of cubes that will fill the box created by the net. 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. about from the start, and answer more fully as the chapter progresses. A sphere is defined as the set of all points in three-dimensional space that are equidistant from a central point. Math AIR HL/SL plan and that about Official IB documents. . Justify your answer. 12.2: Equation of tangent and normal and increasing and decreasing functions 9.4: Optimisation 39? 89km b 10.5cm (3 s.f.) At 12pm, the ship is at point B and it adjusts its course 20 eastward. 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. Find the side of the hexagonal base in cm. 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 SL syllabus, for first teaching in September 2019. Standard Level. Wayland Academy. The critical value is 7.815. e Comment on your result. The results are shown in the table below. 21/02/2019 Each Enhanced Online Course Book Pack is made up of one full-colour, print textbook and one . Verify this claim. 2 cm r1 Find the: a volume of the bolt b surface area of the bolt. Bend one of then along the longer side so that you make a cylinder, and bend the other one along the shorter side so that you make another cylinder. of students both courses are offered at sl and hl the ib dp mathematics applications and interpretation course recognizes the increasing role that mathematics and technology play in a diverse ib math sl exam preparation studynova - Jul 27 2021 web ib math sl free video lectures old revise with these free video lectures x Write down the 2 test statistic and the /7-value for this data, e Comment on your result. 6 Round the numbers of visitors given in the table to the nearest 1000 000. The probability that a randomly selected student studies exactly one of the subjects is 12 + 6 _ 18 _ 9 26 26 13 1 A survey of 117 consumers found that 81 had a tablet computer, 70 had a smartphone and 29 had both a smartphone and a tablet computer. 167. 255x195mm, Evaluation copies must be ordered on a school account.More information on school accounts. A line connects one corner of the first square to the opposite corner of the same square, another line connects to the opposite corner of the second square and a third line connects to the opposite corner of the third square, as shown in the diagram. 0 items|Basket Total0.00, Switch to International view | UK view Caring They show empathy, compassion, and and international organisations to develop respect towards the needs and feelings of others. #May2022. 11 cars failed for other reasons. The copper sphere in the image is placed on the ground from which it was extracted, and represents a scale model of the copper removed from the mine. Find: d the length of [AC] e the length of |BC | f the angle between [BC] and the base with centre O. Write it down. (2 marks) = 4.24 2.3652 x 1022 m = 2.4xl0,9km (1 mark) VMW = 4*X33-45 = 172cm3 26 Valid attempt to find a 3x10 = 1.338 x 108scconds (2 marks) 27 (1 mark) (1 mark) Vertical height of kittiwake from cliff is 261.38 tan 15 = 70.04m (2 marks) Q15 MAX X Yacht / kittiwake is at a horizontal distance of 90 -------- q = 261.38 m from tan 19 RMt = = 22 Q 0.25 (2 marks) = 4.75xl07 years (1 mark) Perimeter = 5.236+ 13.61 +8 + 8 = 34.8 cm (2 marks) 31 a Taking = 7.25 Hand R2 = 3.65 D. (1 mark) (1 mark) 1 1 1 -- +--- (1 mark) So lower bound = 2.372 H (1 mark) 2.428-2.40 x 100 = 1.17% 2.40 (2 marks) 2.372-2.40 x 100 = 1.17% 2.40 (1 mark) So range of percentage errors is anything from 0 to 1.17% (1 mark) 4 11.6km (3 s.f.) 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. B Measuring length 5 6 Estimate the length of the potato. How do we measure? A cylinder with height 11 cm and radius 3 cm is shown in the diagram. ${cardName} not available for the seller you chose. Make a conjecture about the formula for the volume of a pyramid. 2 Round the numbers of visitors given in the table to the nearest 10 000. The IB Math Applications and Interpretation (AI) SL Key Concepts section is one of the four main features on Revision Village for AI SL students (in addition to Questionbank, Practice Exams and Past Papers).The Key Concepts section includes a carefully planned set of AI SL Exam Revision Videos that students can use to refresh specific concepts (e.g. 120 Test, at the 5% significance level, whether there is a connection between time of day and number of people walking their dog. A 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: analysis and approaches SL syllabus, for first teaching in September 2019. 18.3cm2 (3 s.f.) 3 Reflect What does a positive or negative value of r tell you about the correlation? The pyramid has two pairs of congruent faces: ABE and DCE; BCE and ADE. (2 marks) b Area of one hexagonal face = 6[ - x4x4xsin60c U = 24V3 (2 marks) Therefore volume = 24\fi x 12 = 288\fi = 499 cm5 (1 mark) c cos p = 7336 (1 mark) 0=64.1 (1 mark) From part a), AEX =180 -90- 55.6 = 34.4 (1 mark) Therefore AEC = 2x34.4 = 68.8 (1 mark) 613 ANSWERS d e Let A be the surface area of the base. a Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday 15 15 15 15 15 15 15 Frequency b HQ : The data satisfies a uniform distribution. Using water (or rice or popcorn), experiment with filling the 3D shapes to determine the relationships between their volumes. \ A value is accurate if it is close to the exact value of the quantity being meas ured. 8 6 3 3 The months in which people have birthdays are uniformly distributed. 4.1: Coordinates, distance and midpoint formula in 2D and 3D c Find the value of r, Pearsons product moment correlation coefficient, d What do you notice? TOK Here is a table to help you interpret a correlation from its rvalue. Sector area formula a x #/rr2 Area ot sector =------- 360 where r is the radius of the circle and the central angle in degrees. X 2 3 4 5 6 P 8 9 y 13 8 12 P 10 11 6 5 X 2 3 4 5 6 P 8 9 y 12.5 9 11 8 10 10 P 6 o Continued on next page 271 MODELLING RELATIONSHIPS: LINEAR CORRELATION OF BIVARIATE DATA O Set 3 Set 4 X 2 3 4 5 6 ?