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a period of several years, each company added new superheroes to their team.Overthe ratio of the number of superheroes was kept the same over that period, giveIfb Some time later, the ratio of superheroes (DC to Marvel) was 21 : 10. Is this ratioone point, The Justice League had 91 superhero members. How manyAtwould you expect the Avengers to have if the original ratio wassuperheroes4 Draw a picture that includes all of the following elements:● boys and girls in a ratio of 1 to 2● trees and bushes in a ratio of 1 : 1.5 From the following list, write down all of the ratios that are equivalent to each other.6 Use the diagram here to justify why the ratio 3 : 4 is equivalent to the ratio 15 : 20.atwo examples for the number of superheroes that could have been in each team.equivalent to the ratio in part a? Show your working.cmaintained? Show your working.a 2 : 3 : 5 ratio of green owers to blue owers to red owers●You may add whatever else you like to your picture to make it unique.:Continued on next page1 Ratios and proportions12
In the Pokémon card game, two players enter into friendly competition to ‘battle’7other in a eld and knock out each other’s Pokémon. A starting deck of cardseachhave a ratio of Pokémon cards to trainer cards to energy cards of 5 : 2 : 3. Ifcoulddeck contains 60 cards, how many of each card type will there be?theMen and women often do the same job, though they do not always get the same pay.8men and women get dierent pay for the same work, there is aWhenpay gap. The ratio of women’s wages to men’s wages for four countries isgenderin this table.givenwages : Men’s wagesWomen’ssame work (currency)forIn which country does the gender pay gap disadvantage women the most?ccountry does the gender pay gap disadvantage women the least?InwhichGiven the following ratios and totals, nd the portion represented by each part9the ratio.ofIn a regional mathematics competition, the ratio of Swedish students to Danish10to Finnish students is 14 : 22 : 13. Altogether, there are 1029 students.studentshow many students come from each of the three countries. Show yourFindworking.Given that the ratios in each part below are equivalent, nd what quantity each11represents.variableN U M B E RCountrySimplied ratioBulgaria1.5 : 2 (lev)Australia 0.83 : 1 (dollar)Russia 2.40 : 3 (ruble)United Arab Emirates 0.99 : 1 (dirham)a Complete the table by nding a simplied ratio for each country.b Which country has the largest gender pay gap? Explain.Explain.a ratio = 3 : 7 , total = 90 b ratio = 1 : 2 : 5 , total = 88c ratio = 9 : 3 : 4 , total = 32 d ratio = 2 : 4 : 5 : 9 , total = 120a 1 : 4 = 2 : k b 2 : 5 : 8 = 16 : p : 64 c 8 : 7 = 24 : xd 2 : 3 : 7 = 14 : r : s e 2 : 7 : 10 = 1 : q : 5 f 4 : 1 : 12 = 6 : z : 1813
Page 1 and 2: MathematicsA concept-based approach
Page 3 and 4: 302Answers329IndexContentsIntroduct
Page 5 and 6: concept forKeyunit.theidentiedTheco
Page 7 and 8: icon indicates whereTechnologycan d
Page 9 and 10: tales are a part of growing up all
Page 11 and 12: N U M B E ROrganization skillsAecti
Page 13 and 14: simplied form, this would be writte
Page 15 and 16: Write down how each equivalent rati
Page 17: 15 km + 25 km = 40 km ✓legend goe
Page 21 and 22: UnitedKingdomUnitedStatesof womenRa
Page 23 and 24: that the number of women and men ad
Page 25 and 26: have created competitions in a wide
Page 27 and 28: and proportional reasoning can be e
Page 29 and 30: way to solve proportions uses the t
Page 31 and 32: The Great Trail is the longest cont
Page 33 and 34: Explain why each example below does
Page 35 and 36: 1 Determine whether or not each of
Page 37 and 38: there anything in this unit that yo
Page 39 and 40: equation of a proportional relation
Page 41 and 42: people suggest that the ratio of th
Page 43 and 44: of 2000 competitors at the World Ir
Page 45 and 46: Olympic Games, both summer and wint
Page 47 and 48: 2 Research your own eventother indi
Page 49 and 50: justice used to be in the handsCrim
Page 51 and 52: numbers as fractions,representand p
Page 53 and 54: are many events—such as birthdays
Page 55 and 56: Fill in the blanks with the possibl
Page 57 and 58: the table organization, what inform
Page 59 and 60: dinner at aFamilyrestaurantItalianJ
Page 61 and 62: probability of an event occurring i
Page 63 and 64: Complete the table below by classif
Page 65 and 66: 3 Does the rule you generalized pre
Page 67 and 68: If only one name will be drawn from
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The Monty Hall problem is a famous
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Wheel of Fortuneis a televisiongame
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ATL&2 1game show ‘The Price is Ri
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Flip your coin 25 times and record
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Based on the sample spaces in quest
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probability of guessing theright an
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7 Combine your results with those o
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1 Determine the question that you w
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is measured by the ratio of favorab
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Play stops as soon as a question is
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the game of Risk, players set up ar
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time to relax and enjoy some game t
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and your partner must get to know t
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Globalization and sustainabilityMar
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expressions using the order ofevalu
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like words, an have opposites. You
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a 2 3e −1 f 1 2Write down the opp
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you want to nd the altitude of any
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1742, Anders Celsius proposed the C
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order to dene a loation, mathematii
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On the same size grid, write your o
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an e ompared and their asolute valu
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4 - Dividing by negative numbersInv
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have generalized a rule for multipl
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Write down four dierent pairs of in
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July 16, 1969, the Apollo 11 missio
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53 eletrons. What is the total harg
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In pairs, nd the value of each of t
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a (−10) + (+8)b +3 − (+32)1 Rep
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a standard deck of playing cards an
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The average early morning temperatu
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1 Find the distance he traveled bet
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While in spae, it is not unommon fo
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oordinate grid (alled the Cartesian
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seen previously, the magnitude of e
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a trip from 1903 to 1906, Roald Amu
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down an itinerary to visit these de
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nal journal entry must inlude an ex
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is recognized as havingal-Khwarizmi
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A L G E B R ACommunication skillsCr
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6x 2 y + 14y 3 - 7x + 15can be dene
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Write the following expressions in
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Within the 3 by 3 section, how do t
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like terms by adding/subtracting th
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Jeremae’s trick, you may have not
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2 a Show that each of the following
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Translate the steps of this trick u
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the tricks in questions 5 through 7
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algebraic equation is a mathematica
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7b + 2 = 4b + 114 Generalize a proc
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Write down an equation representing
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three consecutive numbers that, whe
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cipher works by replacing each lett
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often uses a notation and process t
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x− 5 =2does not relate to a lette
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all tricks or puzzles involve knowi
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5 − Operations on inequalitiesInv
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b of Example 9 could have been solv
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each polynomial in as many ways as
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the inverse of the encryption funct
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will now create two number puzzles
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Scientic and technical innovationSc
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the perimeter and area of simplend2
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trapezoid is qurilterl with just o
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2 - Area of regular polygonsInvesti
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Area of one triangle = 1 2= 1 2300
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Slr e Uyuni in Bolivi is the lrgest
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2 Then cut the circle into quarters
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One of the lrgest circulr lbyrinths
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teacher will provide you with manip
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Assuming ech gure is regulr prism,
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continer rchitecture (or ‘crgotec
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Assuming ech gure is rectngulr pri
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volume of ny prism cn be clculte by
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Fin the missing vlues in this tble.
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lava can take on a variety of shape
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criterionUnit reviewAKey to Unit re
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housing evelopment, ln is oftenInin
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of the most fmous builings in NewOn
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the re of the hexgonl storm t the n
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must propose two esigns for pir of
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because of a loss of habitat or the
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mathematical operations withperform
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you travel, you will needAsll your
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was taller: Manute Bol, who was 7 f
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d Perform steps a through c using t
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2 Given the following scenarios, us
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one store, you nd a 600 mL bottle o
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dierences between some unit rates c
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7 Find the unit rate, then compare
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The average person’s heart beats
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earning those 4000 Swiss francs, yo
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2 Plot your results on a grid like
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For each of the following tables, i
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a 300 inches = meters b 26.2 miles
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an equation to represent how much m
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Try to nd accommodations of similar
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Scientic and technical innovationVi
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and construct line, bar and circler
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year, you learned how to use a bar
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1 Draw a stem-and-leaf plot for eac
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Write down the highest and lowest c
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would the mode be a useful statisti
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ofPercentagemenoverweightmode is th
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Explain what these values tell you
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Write down a rule/formula for calcu
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of physicians perNumbercitizens1000
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each of the following sets of data,
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4 - Determining the rangeInvestigat
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Find the range, ve-number summary a
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Is knowing the percentage of land t
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box-and-whisker plot is a graphic r
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The 20 highest birth rates (per 100
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data below represent the 12 lower-i
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range is the dierence between the l
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rates can be a measure of the quali
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to the dwtkns.com website and searc
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per capita generally shows the rela
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will be working with a partner and
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are many charities working to help
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a Individual response2Women: 12 : 1
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9 c Individual responsebYou would h
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d i An even number appearing next,
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29 c36ii 1 iii 1 3If the attacker r
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a 32 b 21 c 60 d 45 e 44148 g 49 h
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Istanbul, Rio de JaneriobReykjavik,
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3 a, b, c Individual responses4 a
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3 a 30c 6030 20 15 10 5250510152025
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6 a 2340 cm 2 b 4.5 × 10 127 a 207
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8 a 8659.0 m 2 b 329.9 m c 53.0 m9
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a Constant rate of change b Not a c
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3 a Mean: 98.46% to nearest hundred
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a Mean: 70.9 b Mean: 4.7 c Mean: 13
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value 97-9absolute114-21, 121-3addi
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MathematicsA concept-based approach
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