Checkpoint Maths 2 2004, Hodder & Stoughton Educational1 of
24SECTION ONEChapter 1 Shape, space andmeasures 1Exercise 1.11 (a)
0830 (b) 0535 (c) 0955(d) 1845 (e) 2330 (f) 16502 (a) 1900 (b) 1200
(c) 0005(d) 2210 (e) 0815 (f) 2015(g) 0745 (h) 1945Exercise 1.21
(a) 0840(b) 0820(c) 08002 (a) 1630(b) 1606(c) 18033 (a) (b)456 (a)
1 hour 2 min(b) 1620(c) 1926(d) 22257 Pupils own questions and
answers.Chapter 2 Number 1Exercise 2.11 (a) 14.8 (b) 31.14 (c)
9.66(d) 100.01 (e) 44.44 (f) 9.12 (a) 11.1 (b) 10.9 (c)
15.04(d)0.01 (e) 11.7 (f) 10(g) 12 (h) 03 (a) 17.02 (b) 159.36 (c)
43.56(d) 4 (e) 35.1 (f) 5.1(g) 18.63 (h) 10Exercise 2.21 (a) 20 (b)
30 (c) 24(d) 14 (e) 43 (f) 182 (a) 18 (b) 9 (c) 11(d) 0 (e) 27 (f)
13 (a) 15 (b) 18 (c) 2(d) 35 (e) 15 (f) 6Checkpoint Maths 2
AnswersDepart Arrive0523 06310715 08230904 10121028 11361445
15531622 17301809 19172017 2125Depart Arrive5.23 am 6.31 am7.15 am
8.23 am9.04 am 10.12 am10.28 am 11.36 am2.45 pm 3.53 pm4.22 pm 5.30
pm6.09 pm 7.17 pm8.17 pm 9.25 pmStansted 0500 0715 0915 1040
1315Luton 0630 0845 1045 1210 1445Gatwick 0805 1020 1220 1345
1620Heathrow 0850 1105 1305 1430 1705London Dubai London
Dubai(local time) (local time)Sunday 0200 1012 1400 2212Monday 0200
1012 1348 2200Tuesday 0310 1122 1510 2322Wednesday 0336 1148 1321
2133Thursday 0255 1107 1515 2327Friday 0057 0909 1436 2248Saturday
0638 1450 1648 0100D - Ans 4 web - 001-024.qxd17/8/0411:13 amPage
14 (a) (12 8) 2 8(b) 5 (2 4) 30(c) 2 (3 4 5) 4(d) (10 4) (3 3)
36(e) (9 6 3) 2 4 10(f) (9 6 3) (2 4) 25 (a) 20 8 2 6 22(b) (20 8)
2 6 12(c) (20 8) (2 6) 1.5(d) 20 (8 2 6) 10(e) 20 8 (2 6) 196 (a) 8
3 4 6 14(b) (8 3) 4 6 38(c) (8 3) (4 6) 22(d) 8 3 (4 6) 2Exercise
2.31 (a) 4 (b) 4 (c) 3(d) 8 (e) 12 (f) 62 (a) 13 (b) 37 (c) 12(d)
12.8 (e) 0.125 (f) 0.5Chapter 3 Shape, space andmeasures 2Exercise
3.11 Circumference2 Radius, radii3 Chord4 Diameter5 Arc6 Sector7
Segment8 TangentExercise 3.21 Pupils drawings.2 Pupils drawings.3
Pupils own patterns.Exercise 3.31 Pupils perpendicular bisector
constructions.2 The orientation of pupils diagrams may differfrom
the ones shown below.(a) (b)(d) (e)(f)(g)2 Section 1 Shape, space
and measures 2Checkpoint Maths 2 2004, Hodder & Stoughton
Educational2 of 24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage 23
Pupils construction of a regular octagon.4 (a), (b) Pupils
constructions.(c) Point of intersection is the same distancefrom
points A, B and C.5 Pupils constructions.6 Pupils
constructions.Chapter 4 Handling data 1Exercise 4.11 Primary2
Secondary3 Secondary4 Primary5 SecondaryQ p.19Pupils suggested
research.Q p.19Question (c).Q p.19Pupils own questions.Q p.19Pupils
own questions.Exercise 4.2Pupils rewritten questions.Exercise
4.3Pupils own questions. Ensure questions are clear,simple,
unbiased and relevant.Chapter 5 Using and applyingmathematics/ICT
1InvestigationOnly one possible solution for each number is
givenbelow. There are many other correct possibilities.Some
solutions have included the use of the factorial(!) which, although
not covered in the text, could beintroduced for more able
students.1 44 44 2 44 443 4 4 44 4 4 4445 4 4 44 6 4 4447 4 4 44 8
(4 4) 4 49 4 4 44 10 444411 4! 4 44 12 444413 4! 4 44 14 4 4 4 415
44 4 4 16 4 4 4 417 4 4 44 18 4 4 19 4! 4 44 2044 4421 4! 4 44 22 4
4 4 423 (4! 4 4) 4 24 4 4 4 4254 444 26 4! 4 4427 4! 4 44 28 444
429 4 4! 30 4 4 4 44444Section 1 Using and applying mathematics/ICT
3Checkpoint Maths 2 2004, Hodder & Stoughton Educational3 of
24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage 3ICT
activityPupils constructions.As the vertex is dragged, the shape of
the trianglechanges but the circumference of the circle stillpasses
through each of the three vertices.Review 1A1 (a) 1645 (b) 00302
06203 09004 (a) (3 4) 5 35(b) (8 6) (7 4) 22(c) 5 (8 3) 4 515
Pupils construction of a regular hexagon.67 Pupils questionnaires.8
Pupils examples of a biased question whichshould not be used.Review
1B1 16252 2040 on Wednesday3 23004 (a) (7 8) (3 2) 3(b) (7 8) 3 2
7(c) 7 8 (3 2) 8.65 Pupils constructions of a perpendicular
bisector.6 Pupils examples.7 Pupils questionnaires.8 Pupils
examples of a badly written question, i.e.not clear, not relevant
or biased.SECTION TWOChapter 6 Number 2Exercise 6.11 (a) One
hundred (b) A hundredth(c) One thousand (d) A thousandth(e) One
thousand (f) A thousandth(g) A thousandth (h) One thousand(i) A
millilitre (j) One million2 (a) kg (b) cm(c) m or cm (d) ml(e) t
(f) m(g) litre (h) km(i) litre (j) cm3 Pupils lines and
measurements.4 Pupils estimates. Answers may
varyconsiderably.Exercise 6.21 (a) 1 m is 100 cmso to change from m
to cm multiply by 100to change from cm to m divide by 100.(b) 1
m1000 mmso to change from m to mm multiply by 1000.so to change
from mm to m divide by 1000.(c) 1 cm10 mmso to change from cm to mm
multiply by 10.to change from mm to cm divide by 10.2 (a) 40 mm (b)
62 mm(c) 280 mm (d) 1200 mm(e) 880 mm (f) 3650 mm(g) 8 mm (h) 2.3
mm3 (a) 2.6 m (b) 89 m(c) 2300 m (d) 750 m(e) 2.5 m (f) 400 m(g)
3800 m (h) 25 000 m4 (a) 2 km (b) 26.5 km(c) 0.2 km (d) 0.75 km(e)
0.1 km (f) 5 km(g) 15 km (h) 75.6 kmsectorarcchordtangent4 Section
2 Number 2Checkpoint Maths 2 2004, Hodder & Stoughton
Educational4 of 24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage 45
1 kg is 1000 gso to change kg to g multiply by 1000to change g to
kg divide by 1000.6 (a) 2000 kg (b) 7200 kg(c) 2.8 kg (d) 0.75
kg(e) 450 kg (f) 3 kg(g) 6.5 kg (h) 7000 kg7 (a) 2600 ml (b) 700
ml(c) 40 ml (d) 8 ml8 (a) 1.5 litres (b) 5.28 litres(c) 0.75 litres
(d) 0.025 litres9 138.3 tonnes10 (a) 720 ml(b) 0.53 litresChapter 7
Algebra 1Exercise 7.11 (a) a 2 (b)a 3 (c) a 4(d)a 6 (e) a 52 (a) b
7 (b)b 7 (c) b 7(d)b 5 (e) b 83 (a) c 4 (b)c 8 (c) c 3(d)c 4 (e) c
84 (a) d 2 (b)d 4 (c) d 9(d)d 11 (e) d 95 (a) e 2 (b)e 4 (c) e
2(d)e 4 (e) e 36 (a) f 3 (b)f 3 (c) f 6(d)f 4 (e) f 77 (a) g 4 (b)g
12 (c) g 3(d)g 4 (e) g 68 (a) h 2 (b)h 4 (c) h 5(d)h 5 (e) h 119
(a) k 6 (b)k 4 (c) k 5(d)k 4 (e) k 210 (a) m9 (b)m17 (c) m13(d)m1
(e) m4Exercise 7.21 (a) a 2 (b)a 3 (c) a 1(d)a 2 (e) a 22 (a) b 5
(b)b 2 (c) b 1(d)b 2 (e) b 33 (a) c 2 (b)c 5 (c) c 3(d)c 4 (e) c 34
(a) d 2 (b)d 3 (c) d 5(d)d 3 (e) d 35 (a) e 1 (b)e 3 (c) e 2(d)e 3
(e) e 26 (a) f 1.5 (b)f 1 (c) f 1(d)f 3 (e) f 57 (a) g 1 (b)g 5 (c)
g 5(d)g 14 (e) g 1Exercise 7.31 (a) a 3 (b)a 4 (c) a 4(d)a 5 (e) a
12 (a) b 2 (b)b 3 (c) b 5(d)b 3 (e) b 123 (a) c 3 (b)c 5 (c) c
9(d)c 8 (e) c 14 (a) d 9 (b)d 7 (c) d 4(d)d 1 (e) d 55 (a) e 3 (b)e
2 (c) e 2(d)e 3 (e) e 26 (a) f 8 (b)f 7 (c) f 3(d)f 4 (e) f 67 (a)
g 4 (b)g 14 (c) g 3(d)g 3 (e) g 58 (a) h 2 (b)h 3 (c) h 10(d)h 3
(e) h 39 (a) j 8 (b)j 15 (c) j 32(d)j 14 (e) j 2710 (a) k 6 (b)k 4
(c) k 6(d)k 15 (e) k 16Section 2 Algebra 1 5Checkpoint Maths 2
2004, Hodder & Stoughton Educational5 of 24D - Ans 4 web -
001-024.qxd17/8/0411:14 amPage 5Chapter 8 Shape, space andmeasures
3Exercise 8.11 (a) 18.85 cm (b) 78.54 cm(c) 125.66 mm (d) 3.14 m2
(a) 25.13 cm (b) 21.99 cm(c) 75.40 mm (d) 39.58 m3 (a) 31.4 cm (b)
35.7 cm(c) 61.7 cm (d) 121.4 mm(e) 13.7 cm (f) 100.7 cm4 (a) 235.6
cm (b) 424 times5 6.3 cm6 37.70 mExercise 8.21 (a) 28.3 cm2(b)
176.7 cm2(c) 2.0 mm2(d) 918.6 cm2(e) 167.4 cm2(f) 0.1 cm22 (a)
100.5 cm2(b) 78.5 cm2(c) 58.9 cm2(d) 62.1 cm2(e) 1.9 cm2(f) 43.4
cm2Exercise 8.31 (a) 25 cm2(b) 19.6 cm2(1 dp)(c) 5.4 cm2(1 dp)2
11.4 cm23 (a) 25.1 cm2(1 dp)(b) 21.5% (1 dp)4 (a) 268 cm2(b) 81 cm5
5969 m26 Ring 1 37.7 cm2Ring 2 62.8 cm2Ring 3 88.0 cm2Chapter 9
Shape, space andmeasures 4Exercise 9.11234Exercise 9.216 Section 2
Shape, space and measures 4Checkpoint Maths 2 2004, Hodder &
Stoughton Educational6 of 24D - Ans 4 web - 001-024.qxd17/8/0411:14
amPage 623456Exercise 9.31 23 45 6Exercise 9.4The diagrams that
follow show only two possiblenets for the three-dimensional shapes
in thequestion. Other nets are possible.1Section 2 Shape, space and
measures 4 7Checkpoint Maths 2 2004, Hodder & Stoughton
Educational7 of 24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage
723458 Section 2 Shape, space and measures 4Checkpoint Maths 2
2004, Hodder & Stoughton Educational8 of 24D - Ans 4 web -
001-024.qxd17/8/0411:14 amPage 86Chapter 10 Using and
applyingmathematics/ICT 2InvestigationPupils will produce a variety
of nets. The net usingthe smallest amount of card is shown
below:ICT activity17 Pupils generate their own regular polygons
andmeasure the perimeter and diagonal length ofeach.8 (a) Pupils
results should show that, as thenumber of sides of the regular
polygonincreases, so the value perimeter diagonalgets closer to
.(b) The value perimeter diagonal gets closer to, but the results
for even and odd-sidedregular polygons differ because theyapproach
differently. This is shown in thefollowing graphs.The results for
odd and even-sided regularpolygons can be combined on a graph
asfollows:Review 2A1 (a) 40 mm (b) 284 mm (c) 850 mm2 (a) 7200 kg
(b) 2.8 kg (c) 50 kg3 (a) 2300 ml (b) 400 ml (c) 8.9 ml4 1600 ml5
(a) a 4 (b)b 13 (c) m56 38.96 cm (2 dp)7 452.39 cm28 18.8 cm2(1
dp)Number of sidesPerimeter/diagonal for regular
polygons3.23.33.43.53.63.13.02.92.82.72.62.50 2 4 6 8 10 12
14P/DNumber of sidesPerimeter/diagonal for odd-sided regular
polygons3.503.453.403.303.253.203.153.100 2 4 6 8 10 12 14P/DNumber
of sidesPerimeter/diagonal for even-sided regular
polygons3.153.103.053.002.952.902.852.800 2 4 6 8 10 12 14P/D56
cm51 cm8 8 20 2035Section 2 Using and applying mathematics/ICT
9Checkpoint Maths 2 2004, Hodder & Stoughton Educational9 of
24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage 99 Different nets
are possible to this one.10 Different nets are possible to this
one.Review 2B1 (a) 3500 m (b) 0.75 m (c) 0.28 m2 (a) 800 g (b) 4100
g (c) 70 g3 (a) 0.7 litres (b) 20 litres (c) 0.005 litre4 2.32
litres5 (a) a 8 (b)b 1.5 (c) c 56 42.16 cm (2 dp)7 226.19 cm28 (a)
345.6 m (b) 5656 m29 Different nets are possible to this one.10
Different nets are possible to this one.SECTION THREEChapter 11
Algebra 2Exercise 11.11 (a) a is less than 6(b)b is greater than
5(c) c is not equal to 102 (a) x is less than or equal to 7(b)y is
greater than or equal to 3(c) z is less than or equal to 103 (a) d
is greater than 4(b)e is less than 7(c) f is not equal to 84 (a) m
is less than 8(b)n is greater than 5(c) f is not equal to 55 (a) s
is less than or equal to 6(b)t is greater than or equal to 9(c) u
is not equal to 3Exercise 11.21 2 3 4 5 6 7 8 9 10 Exercise 11.31 a
10 2 b 7 3 c 5 4 d 65 e 10 6 f 76 7 g 12 8 h 59 j 4 10 k 74 cm4
cm12 cm4 cm4 cm12 cm4 cm10 cm 4 cm5 cm10 cm4 cm 5 cm 5 cm5 cm5 cm4
cm10 Section 3 Algebra 2Checkpoint Maths 2 2004, Hodder &
Stoughton Educational10 of 24D - Ans 4 web -
001-024.qxd17/8/0411:14 amPage 10Exercise 11.412345678910Exercise
11.512345678910Exercise 11.61 3 a 6 2 4 b 73 6 c 9 4 0 d 35 2 e 1 6
3 f 37 1 g 4 8 3 h 29 5 i 1 10 4 j 4Exercise 11.71 11 a 18 2 21 a
403 160 h 200 4 14 t 285 300 n 400 6 155 h 1857 7 n 11 8 1 n 89 10
d 12 10 40 n 50Chapter 12 Algebra 3Exercise 12.11 (a) p mq (b)q mp2
(a) p md (b)md p3 (a) s r 3t (b)t r 3s4 (a) d x 2c (b)c 2d x5 (a) a
d 23b (b)b d 32a6 (a) r p 35s (b)s 3r5p7 (a) r m2 p (b)p r m28 (a)
r w5 2p (b)p 12r w59 (a) r wdt (b)t wdr10 (a) my xc (b)my
cxExercise 12.21 (a) a c b (b)b c a2 (a) a b c (b)c a b1 0 1 2 3 42
1 0 1 2 39 8 7 6 5 46 5 4 3 2 12 3 4 5 6 72 3 4 5 6 71 2 3 4 5 67 8
9 10 11 122 3 4 5 6 72 3 4 5 6 72.2 2.3 2.4 2.5 2.6 2.70.5 0.6 0.7
0.8 0.9 1.02 3 4 5 6 72 3 4 5 6 72 3 4 5 6 72 3 4 5 6 72 3 4 5 6 72
3 4 5 6 72 3 4 5 6 72 3 4 5 6 7Section 3 Algebra 3 11Checkpoint
Maths 2 2004, Hodder & Stoughton Educational11 of 24D - Ans 4
web - 001-024.qxd17/8/0411:14 amPage 113 (a) p (b)r psq4 (a) q r 3p
(b)p r 3q5 (a) p t mn (b)n t mp6 (a) p r 23q (b)q r 32p7 (a) mrn
(b)n mr8 (a) d vsw (b)v dws9 (a) mtnw (b)wmtn10 (a) wt 1mn (b)mn1t
w1Exercise 12.31 (a) q r p (b)q s 2r2 (a) r 4p 2q (b)q 2p 3s3 (a) q
pr (b)r qps4 (a) p r q3 (b)r q p45 (a) n r m (b)n mp6 (a) m3p2n
(b)p 3x2q7 (a) x uyv (b)p rqs8 (a) q 2p65 (b)p 6q259 (a) z 3x 47y
(b)y 3x 74z10 (a) r 82pq (b)q 2pr 8Chapter 13 Shape, space
andmeasures 5Exercise 13.11 a 130 2 b 1403 c 135 4 d 705 e 62 6 f
557 g 90 8 h 1449 i 154 10 j 35Exercise 13.21 a 110 2 b 1453 c 55 4
d 955 e 100 6 f 1257 g 106 8 h 1509 i 90 10 j 60Exercise 13.31
Pupils drawings and measured angles.2 Pupils drawings and measured
angles.3 Pupils drawings and measured angles.4 Pupils own
observations leading to: verticallyopposite angles are
equal.Exercise 13.41 Pupils drawings and measured angles.2 Pupils
drawings and measured angles.3 Pupils drawings and measured
angles.4 Pupils own observations leading to:corresponding angles
are equal.Exercise 13.51 a 40 b 1402 c 60 d 1203 e 40 f 1404 g 48 h
1325 j 144 k 366 l 70 m1107 n 80 o 100 p 100 q 808 r 43 s 137 t 137
u 439 v 35 w145 x 145 y 35 z 14510 a 36sqr12 Section 3 Shape, space
and measures 5Checkpoint Maths 2 2004, Hodder & Stoughton
Educational12 of 24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage
12Chapter 14 Handling data 2Exercise 14.11 Pupils own explanations
should accompanyeach answer.(a) Likely to be a positive
correlation.(b) No correlation.(c) Likely to be a positive
correlation.(d) Likely to be a negative correlation, thoughthere
will be exceptions for vintagemotorcycles.(e) Different
correlations possible checkexplanation for justification.(f) Likely
to be a negative correlation.(g) Up to adulthood there is a
positivecorrelation. However, once adulthood isreached there is no
correlation.(h) Likely to be a positive correlation.2 (a)(b)
Strong/moderate positive correlation.(c) Pupils explanations.(d)(e)
About 11 km3 (a)(b) Very little/no correlation.
Pupilsexplanations.4 (a)(b) Pupils explanations.(c) Pupils
explanations.(d)Chapter 15 Using and applyingmathematics/ICT
3InvestigationPupils will each produce a table of results and
agraph of their results. Answers to questions willdepend on class
results.80 70 90 60 50 40 30Female life expectancy
(years)Correlation between male and femalelife expectancy in
different countries3545556575Male life expectancy (years)010 20 30
40 50 60 70Adult illiteracy rate (%)Correlation between
adultilliteracy and infant mortalityInfant mortality per
1002040608010012002 4 6 8 10 12 14Hours of sunshineRainfall
comparedwith hours of sunshineRainfall (mm)12345678025 20 30 15 10
5Distance (km)Distance from schoolplotted against travel
time455152535Time (min)025 20 30 15 10 5Distance (km)Distance from
schoolplotted against travel time455152535Time (min)Section 3 Using
and applying mathematics/ICT 3 13Checkpoint Maths 2 2004, Hodder
& Stoughton Educational13 of 24D - Ans 4 web -
001-024.qxd17/8/0411:14 amPage 13ICT activityPupils produce their
own angle booklets.Review 3A1(a) (b) (c) (d)2 (a) c b a (b)b x
3w(c) q pmn (d)t 2(mnw5)3 (a) p 70 q 70 r 110(b)s 104 t 38 u 384 b
100 c 80 d 35 e 105f 40 g 35 h 805 (a) (b)6 (a) Likely to be a
positive correlation; pupilsexplanations.(b) Likely to be a
negative correlation (with theexception of vintage cars);
pupilsexplanations.(c) Many factors may affect this. For a
givenpainter at a particular point in time, though,it is likely to
be a positive correlation. Pupilsexplanations.Review 3B1 (a) x 50%
(b) 21 x 552 (a)(b)3 (a) r q 3p (b)r 125 mt(c) v t(nm2) (d)p 15r
23q4 (a) r 30 q 150(b)p 57 q 57 r 87 s 935 a 130 b 130 c 50 d 65 e
65f 115 g 115 h 65 i 656 (a) Weak negative correlation(b) Strong
positive correlation7 (a) Likely to be a negative correlation;
pupils explanations.(b) Likely to be a positive correlation; pupils
explanations.(c) Likely to be no correlation; pupils
explanations.SECTION FOURChapter 16 Number 3Exercise 16.11 (a) 30
(b) 160 (c) 90(d) 60 (e) 4502 (a) 3 years (b) 4 years (c) 5
years(d) 6 years (e) 312yearsExercise 16.21 (a) 5% (b) 6% (c) 8%(d)
712% (e) 412%2 (a) 400 (b) 800(c) 466.67 (d) 850Exercise 16.31 20
loss 2 6 loss 3 3 profit4 5 loss 5 1400 lossExercise 16.41 70% 2
50% 3 75% 4 25%5 50% 6 60% 7 25% 8 75%9 75% 10 70%Exercise 16.51
62.5%2 60%3 50%4 30%5 33.3% (1 dp)0.7 0.8 0.9 1.0 1.1 1.24 5 6 7 8
914 Section 4 Number 3Checkpoint Maths 2 2004, Hodder &
Stoughton Educational14 of 24D - Ans 4 web -
001-024.qxd17/8/0411:14 amPage 146 28.6% (1 dp)7 40%8 35%9 42%10
37.5%Chapter 17 Algebra 4Exercise 17.11 (a) 2(2a 5) (b) 5(2a 3) (c)
3(3a 7)2 (a) 3(2b 1) (b) 5(2b 1) (c) 5(5b 2)3 (a) 5(3c 5) (b) 4(3c
2) (c) 8(a 3)4 (a) 4(2 d) (b) 2(3 2d) (c) 6(3 2d)5 (a) 2(3a 2b) (b)
7(c 2d) (c) 4(3a 4b)6 (a) 4(6p 7q) (b) 6(a 5b) (c) 7(3d 2e)7 (a)
3(2a 3b 4c) (b) 2(4a b 2c)(c) 3(2p 3q 5r)8 (a) 4(3m4n 9r) (b) 7(a
2b 5c)(c) 8(8p 4q 2r)9 (a) 3(3a b 6c) (b) 4(6p 8q 3r)(c) 3(a b c)10
(a) 6(a 2b 3c) (b) 7(p q r)(c) 15(2p 4q r)Exercise 17.21 (a) x(2a
3b 4c) (b)b(7a 8c)2 (a) q(3p 4 5s) (b)n(2m3r 5p)3 (a) x(4a 3x)
(b)b(4a 3b)4 (a) p(6p 5q) (b)m(7n 2m)5 (a) x(x a) (b)p(qr
p)Exercise 17.31 (a) 2y(2x 3z) (b) 3q(3p 4r)2 (a) 5m(3n 2p) (b)
7c(2b 3c)3 (a) 6p(q 5p) (b) 5x(3x 2y)4 (a) 4xy(3x 2y) (b) 5ab(2b
5a)5 (a) 7a(x 2y 3z) (b) 3x2(10a 2b 3c)Exercise 17.41 (a) 3(3m5)
(b) 2(8 3p)2 (a) 2(2p 3) (b) 6(3 2b)3 (a) 3(2y 1) (b) 2(2a 3b)4 (a)
3(a b) (b) 4(2a 3b 5c)5 (a) a(3b 4c 5d) (b) 2p(4q 3r 2s)6 (a) b(b
c) (b) 2a(2a 5b)7 (a) ab(c d e) (b)m(2m3)8 (a) 3ab(c 3d) (b) 5a(a
2b)9 (a) 2ab(4a 3b) (b)p2(2q23r2)10 (a) 12(a 2) (b) 21(2a 3)11 (a)
11a(1 b) (b) 4a(1 4 2b)12 (a) 5b(a 2c 3b) (b) 2b2(4a 3)13 (a) a(a
1) (b)b(1 b)14 (a) b2(1 b) (b)a(a2a 1)15 (a) p(p22p 3)
(b)m(7m29m4)16 (a) 3a(2a2a 4) (b) 5a(a22a 5)17 (a) 28ab(2a b) (b)
12b(6a 3c 4d)18 (a) 2a3(2b 3c) (b) 7m2n(2mn 3)19 (a) 6ab(ab 2) (b)
3c2(1 5c)20 (a) 5a(b c) (b) 13bc(b 2c)Exercise 17.51 (a) (a b)(c d)
(b) (p q)(r s)2 (a) (mn)(p q) (b) (a c)(b d)3 (a) (a 2)(b c) (b) (a
3)(b c)4 (a) (a 4)(b c) (b) (a 3)(b c)5 (a) (p q)(mn) (b) (p q)(n
m)6 (a) (a b)(c d) (b) (r t)(s v)7 (a) (x y)(wv) (b) (a b)(a c)8
(a) (x y)(z x) (b) (p r)(q p)9 (a) (mn)(n r) (b) (p r)(x y)10 (a)
(a 3c)(b 2c) (b) (a d)(b 1)Section 4 Algebra 4 15Checkpoint Maths 2
2004, Hodder & Stoughton Educational15 of 24D - Ans 4 web -
001-024.qxd17/8/0411:14 amPage 15Exercise 17.61 (a) (3a b)(b c) (b)
(2p q)(3r s)2 (a) (x y)(z y) (b) (4a b)(2c b)3 (a) (r 2s)(3t r) (b)
(2m3n)(q 2m)4 (a) (5f g)(f2h) (b) (ab c)(d c)5 (a) (2gh i)(jk i)
(b) (a b)(c b)Chapter 18 Shape, space andmeasures 6Exercise 18.11
(a) 24 cm3(b) 150 cm3(c) 40 cm3(d) 4000 cm3(e) 1500 cm32 (a) 120
cm3(b) 120 cm3(c) 270 cm3(d) 4000 cm3(e) 3861 cm33 (a) 339.3 cm3(1
dp) (b) 2827.4 cm3(1 dp)(c) 954.3 cm3(1 dp) (d) 924.7 cm3(1 dp)(e)
155.0 cm3(1 dp)Exercise 18.21 224 cm32 225 cm33 3200 cm34 1500 cm35
3930 cm3(3 sf)Exercise 18.31 8 cm2 (a) 5 cm (b) 6.5 cm3 (a) 9 cm
(b) 81 cm24 10 cm5 1.51 cm (2 dp)Chapter 19 Handling data 3Exercise
19.11 Independent 2 Independent3 They are mutually exclusive
events.Exercise 19.213162583(a)15(b)25(c)225(d)35Exercise
19.3127522853255or 1542155225622572358 Mutually
exclusive922510215111275121255or 35132255or 1 142205or
4515285161235171225182751924520235Exercise 19.4131623163346or
1942306or 59531661316711881366or 499118101366or 49Exercise
19.511821123199649165386122or 1674966or 24388966or 1169 0 (it is
impossible to throw a red face on thedodecahedron)109966or 116
Section 4 Handling data 3Checkpoint Maths 2 2004, Hodder &
Stoughton Educational16 of 24D - Ans 4 web -
001-024.qxd17/8/0411:14 amPage 16Chapter 20 Using and
applyingmathematics/ICT 4Investigation1 (a) 8 cm2(b) 40 cm3(c) 32
cm2(d) 320 cm32 (a) Small triangular cross-section 21 cm2Enlarged
triangular cross-section 84 cm2(b) Volume of small prism168
cm3Volume of enlarged prism1344 cm33,4 Pupils investigate the
relationship between scalefactor of enlargement and its effect on
the areafactor and volume factor of enlargement.If the scale factor
of enlargement is n, the areafactor of enlargement is n2and the
volume factorof enlargement is n3.ICT activityThe screenshot below
shows an example of theformulae that can be used:Pupils prepare a
report based on their findings.Review 4A1 2600 2 4.2%3 66.7% (1 dp)
4 600%5 (a) 4(4a 3) (b)x(4x 1)(c) 2bc(3b 1 2c)6 (a) (2c a)(3b c)
(b) (4p q2)(2p r)7 251.3 cm3(1 dp)8 (a) Pupils examples. (b) Pupils
examples.Review 4B1 7 years2 66.5%3 (a) 4(2p q) (b) 7r(2r 3)(c)
3t(2t23t m)4 (a) (r 3s)(2t r) (b) (4ab2c)(a d)5 48 cm36 8.9 cm7
(a)140or 25(b)120or 15(c)160or 358 (a)46or 23(b)26or 13(c)29SECTION
FIVEChapter 21 Algebra 5Exercise 21.11 Pupils tables of sets of
co-ordinates leading to y 2x2 Pupils tables of sets of co-ordinates
leading to y 12x 13 Pupils tables of sets of co-ordinates leading
to y x 24 Pupils tables of sets of co-ordinates leading to y 12x 35
Pupils tables of sets of co-ordinates leading to y x6 Pupils tables
of sets of co-ordinates leading to y 12x 37 Pupils tables of sets
of co-ordinates leading to y 48 Pupils tables of sets of
co-ordinates leading to x 39 Pupils explanations.Exercise 22.21
Sloping2 Sloping3 Vertical4 SlopingSection 5 Algebra 5 17Checkpoint
Maths 2 2004, Hodder & Stoughton Educational17 of 24D - Ans 4
web - 001-024.qxd17/8/0411:14 amPage 175 Horizontal6 Vertical7
Sloping8 Horizontal9 Sloping10 SlopingExercise 21.31234567 yx4
22462042y = x + 6yx 22424 204x = 2yx2242204 6y x = 1yx2242204y =
3yx224220412y = x + 1yx2242204 6y = 2x 3yx4 22462204y = x + 218
Section 5 Algebra 5Checkpoint Maths 2 2004, Hodder & Stoughton
Educational18 of 24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage
188910Exercise 21.4Pupils own line graphs accompany questions 110.1
Gradient 1 2 Gradient 23 Gradient 124 Gradient 25 Gradient 126
Gradient 47 Gradient 138 Gradient 39 Gradient 0 10 Gradient
infinite11 Pupils own observations.Exercise 21.51 (a) y x 1 (b)
Gradient 1(c) y intercept 12 (a) y 3x 1 (b) Gradient 3(c) y
intercept 13 (a) y 12x 2 (b) Gradient 12(c) y intercept 24 (a) y 4x
4 (b) Gradient 4(c) y intercept 45 (a) y x 3 (b) Gradient 1(c) y
intercept 36 Pupils observations.Exercise 21.61 (a) Gradient 2 y
intercept 1(b) Gradient 3 y intercept 1(c) Gradient 12y intercept
3(d) Gradient 1 y intercept 0(e) Gradient 1 y intercept 12(f)
Gradient 3 y intercept 4(g) Gradient 1 y intercept 4(h) Gradient 1
y intercept 02 (a) Gradient 2 y intercept 4(b) Gradient 1 y
intercept 2(c) Gradient 3 y intercept 0(d) Gradient 2 y intercept
4(e) Gradient 3 y intercept 1(f) Gradient 1 y intercept 1(g)
Gradient 5 y intercept 4(h) Gradient 2 y intercept 43 (a) Gradient
1 y intercept 2(b) Gradient 2 y intercept 1(c) Gradient 3 y
intercept 1(d) Gradient 1 y intercept 0(e) Gradient 4 y intercept
8(f) Gradient 3 y intercept 3(g) Gradient 0 y intercept 4(h)
Gradient 12y intercept 3yx4 2242204y + x = 14yx22462204y = 2x +
2yx4 22462204y = x + 3Section 5 Algebra 5 19Checkpoint Maths 2
2004, Hodder & Stoughton Educational19 of 24D - Ans 4 web -
001-024.qxd17/8/0411:14 amPage 19Chapter 22 Shape, space
andmeasures 7Exercise 22.11 a 40 2 b 433 c 30 4 d 455 e 25, f 35 6
g 27, h 27, i 36Exercise 22.212 The number of sides is always 2
more than thenumber of triangles.3Exercise 22.31 a 752 b 70 c 1203
d 1044 e 48 f 84 g 132h 132 i 48 j 485 k 108 l 1086 m120 n 60 p 120
q 60r 60 s 120 t 120Chapter 23 Shape, space andmeasures 8Exercise
23.11 150 cm22 138 cm23 288 cm24 108 cm25 703.7 cm2 (1 dp)6 155.5
cm2(1 dp)7 480 cm28 262 cm2Exercise 23.21 9 cm2 3 cm3 (a) 11.3 cm
(1 dp) (b) 2226 cm24 (a) 13 cm (b) 450 cm25 2 mmChapter 24 Handling
data 4Exercise 24.11 Discrete 2 Continuous3 Discrete 4 Continuous5
Continuous 6 Continuous7 Discrete 8 Continuous9 Continuous
(usually) 10 DiscreteExercise 24.2Pupils examples.20 Section 5
Handling data 4Checkpoint Maths 2 2004, Hodder & Stoughton
Educational20 of 24Number Name Number Total sum ofof sides of
polygon of triangles interior angles3 triangle 1 1804 quadrilateral
2 2 180 3605 pentagon 3 3 180 5406 hexagon 4 4 180 7208 octagon 6 6
180 10809 nonagon 7 7 180 126010 decagon 8 8 180 144012 dodecagon
10 10 180 1800Number of 3 4 5 6 8 9 10 12sidesSum of the180 360 540
720 108012601440 1800interioranglesSize of each 60 90 108 120 135
140 144 150interiorangleSize of each 120 90 72 60 45 40 36
30exterior angleD - Ans 4 web - 001-024.qxd17/8/0411:14 amPage
20Exercise 24.3123456789Exercise 24.41Temperature (C)Mean
annualtemperatures in two cities 20 10010203040
50501015202530Frequencycity Acity BDistance (km)Distances travelled
to school7 80 1 2 3 4 5 6100203040506070FrequencyTemperature
(C)Temperatures in 50 towns in July15 20 25 30 35
4020182046810121416Frequency0Height (cm)Heights of
students130140160170180 19015010203040FrequencyMark (%)Maths test
results10 0 30 50 70 90 10024681012Frequency0ScoresScores in a golf
competition90 9585 80 75 70 652018246810121416FrequencySection 5
Handling data 4 21Checkpoint Maths 2 2004, Hodder & Stoughton
Educational21 of 24Mass (kg) 0 1234 56 789 1011Frequency 0 1 2 4 3
5 8 4 2 1 0Time (secs) 8 10 12 14 16 18 20 2224Frequency 0 3 14 8 1
2 2 0Number of books 0 10 20 30 40 5060Frequency 8 14 26 20 8
4Points scored 0 10 20 30 40 50 60 7080Frequency 0 1 3 5 11 6 4 2D
- Ans 4 web - 001-024.qxd17/8/0411:14 amPage 2123 Pupils sketches
of frequency polygons.4 Pupils sketches of frequency
polygons.5Pupils explanations. On average, pupils atschool A travel
less distance to school than thoseat school B.6 Pupils sketches of
frequency polygons.7 Pupils sketches of frequency polygons.8 Pupils
sketches of frequency polygons.9 Pupils sketches of frequency
polygons.10 Pupils sketches of frequency polygons.Chapter 25 Using
and applyingmathematics/ICT 5InvestigationPupils calculations based
on their packaging.1 Pupils observations based on their results.2
Pupils examples.ICT activityPupils analyses of test results.Review
5A1 y x 22 (a)(b)3 (a) Gradient 4, y intercept 5(b) Gradient 1, y
intercept 0(c) Gradient 12, y intercept 1(d) Gradient 2, y
intercept 14 1205 a 75, b 1356 226.2 cm27 8 cmyx2 4242204y = x +
212yx2242204y = 2x 10Distance (km)Distances travelled bypupils to
two schools01234567 851015202530354045Frequencyschool Aschool
B0Ages of spectators compared51015202530Frequency
(1000s)Age010203040506070 80footballgolf22 Section 5
ReviewsCheckpoint Maths 2 2004, Hodder & Stoughton
Educational22 of 24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage
228Review 5B1 y 2x 22 (a)(b)3 (a) Gradient 3, y intercept 1(b)
Gradient 1, y intercept 4(c) Gradient 2, y intercept 2(d) Gradient
2, y intercept 124 725 a 100, b 80, c 2206 176 cm27 628.3 cm28
Pupils reports.yx2242204y = x + 3yx2 4242204y = x + 3ScoreMaths
test results90 100 0 10 20 30 40 50 60 70 8086420FrequencySection 5
Reviews 23Checkpoint Maths 2 2004, Hodder & Stoughton
Educational23 of 24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage
23SECTION SIX CHECKPOINT QUESTIONSNumber1 5 or 62 About 47 000
feet3 (a) (i) Each small division on the scale shows 10 grams(ii)
Arrow X shows a mass of 280 grams(b) Pupils scales marked to show
70 g.(c) (i) 39 cents(ii) 11 cents4 (a) (i) 32 litres(ii) $36(b) 54
(km)40 (min)60 (km/h)Algebra1 (a) (7x 6) cm(b) 7x 6 20(c) 8 cm2 t v
au3 3x(5x 2)4 x25x 65 (2ab c)(4b c)6 37 (a) p 12 (b)q 7 (c) r 38
(a) 2, 1, 1, 2(b) Pupils graphs with line y x 2 drawn.(c) 23Shape,
space and measures1 (a) a 60, b 60, c 60(b) Equilateral2 172 cm23 6
cm4 4 cm5 12 cm26 4 minutes7 (a) 13 km/litre(b) 117 km8 (a) (i) 80
(ii) 30(b) (i) 35 (ii) 55 (iii) 559 (a) 384 cm2(b) 512 cm310 (a)
444.2 m (b) 14 350 m2Handling data1 (a) Primary(b) (i) Pupils
explanations(ii) Pupils own questions2 (a) Pupils scatter diagrams
with line of best fitdrawn.(b) 1424 Section 6 Handling
dataCheckpoint Maths 2 2004, Hodder & Stoughton Educational24
of 24D - Ans 4 web - 001-024.qxd17/8/0411:14 amPage 24
