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Solving using completing the square (answers)

May 11, 2017 Comments off

Workout

Question 1:

(a)  x = -2  or   x = -4                  (b)   x = -6  or  x = -4             (c)  x = -4    or   x = -10

(d)  x = -5   or   x = 9                  (e)   x = 5   or  x = 7              (f)  x = -1   or   x = 3

(g)  x = -17  or  x = 3                  (h)   x = -2  or  x = 8              (i)  x = 1

Question 2:

(a)  x = -4   or   x = -1                (b)  x = -3   or   x = 6             (c)  x = -4   or   x = 3

(d)  x = 3   or   x = 4                  (e)  x = 3   or   x = 8              (f)   x = -3   or  x = 10

Question 3:

(a)   x = -2 + √7   or    x = -2 – √7

(b)  x = -3 + √19  or   x = -3 – √19

(c)  x = 1 + √6   or   x = 1 – √6

(d)  x = 5 + 2√6   or   x = 5 – 2√6   (note √24 = 2√6)

(e)  x = -4 + √13   or  x = -4 – √13

(f)  x = 4 + √38    or  x = 4 – √38

(g)  x = -10 + √93   or   x = -10 – √93

(h)  x = 6 + √35   or   x = 6 – √35

(i)  x = 15 + 5√13  or  x = 15 – 5√13   (note √325 = 5√13)

Question 4:

(a)  x = -1/2 + √29/2   or    x = -1/2 – √29/2

(b)  x = 3/2 + √5/2    or    x = 3/2 – √5/2

(c)  x = -11/2 + √141/2   or  x = -11/2 – √141/2

(d)  x = 7/2 + √13/2   or   x = 7/2 – √13/2

(e)  x = 1/2 + √201/2   or  x = 1/2 – √201/2

(f)  x = -13/2 + √173/2   or  x = -13/2 – √173/2

Question 5:

(a)  x = 2 – √13    or   x = 2 + √13

(b)  x = -5 + 2√10   or   x = -5 – 2√10

(c)  x = 1/2 – √29/2   or   x = 1/2 + √29/2

(d)  x = -1 + √6   or   x = -1 – √6

(e)  x = -5 + √37   or  x = -5 – √37

(f)  x = -1 – √14   or   x = -1 + √14

Question 6:

(a)   x = -3 + √11   or   x = -3 – √11

(b)   x = -3  or  x = -0.5

(c)   x = -2 + √43/3  or  x = -2 – √43/3

(d)  x = 3/4 + √65/4   or   x = 3/4 – √65/4

(e)  x = -1/5 + √41/5   or   x = -1/5 – √41/5

(f)  x = 1/10 + √11/10  or  x = 1/10 – √11/10

Apply

Question 1:   (a)  (0, 3)     (b)  (-5+√22, 0)  and  (-5-√22, 0)

Question 2:   width = -10 + 10√11 cm    and   length = 10 + 10√11 cm

Question 3:  When solving using completing the square, Abby will get to the point (x+2)^2 = -11.  She will need to √-11, which has no solutions (real ones anyway!)

Question 4:   5√17

Question 5:  a = 6  and   b = -8

Question 6:  https://corbettmaths.com/2015/03/19/deriving-the-quadratic-formula/

 

 

Categories: answers Tags: , ,

Conundrum Answers

April 18, 2017 Comments off

January

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Categories: answers Tags: ,

Density – Answers

September 4, 2016 Comments off

Workout

Question 1:

(a)  0.7g/cm³              

(b)   2.74g/cm³                  

(c)   8.7g/cm³

(d)  7880kg/m³

(e)   845.24kg/m³

Question 2:

(a)  240g

(b)  445g

(c)  18882kg

(d)  21420kg

(e)  2.5509kg

Question 3:

(a)  125cm³

(b)  88.8cm³

(c)   1652.9cm³

(d)  0.11111m³

(e)  0.259m³

Apply

Question 1:   0.916g/cm³

Question 2:  1.47kg

Question 3:  44050kg

Question 4:  Piece 2 – density of 0.4g/cm³

Question 5:  4.62g/cm³

Question 6: 2.732kg

Question 7:  76100cm³

Categories: answers Tags: ,

Worksheet Answers

March 13, 2015 Comments off

Answers: Practice Questions

1.     2D shapes: names    Practice Questions answers     Textbook answers

2.     2D shapes: quadrilaterals   Practice Questions answers      Textbook answers

3.     3D shapes: names   Practice Questions answers       Textbook answers

4.     3D shapes: nets    Practice Questions answers       Textbook answers

5.     3D shapes: vertices, edges, faces   Practice Questions answers       Textbook answers

6.     Addition: column method   Practice Questions answers       Textbook answers

7.     Algebra: changing the subject    Practice Questions answers       Textbook answers

8.     Algebra: changing the subject adv   Practice Questions answers      Textbook answers

9.     Algebra: collecting like terms     Practice Questions answers       Textbook answers

10.     Algebra: completing the square    Practice Questions answers       Textbook answers

11.     Algebra: dividing terms     Practice Questions answers       Textbook answers

12.     Algebra: equation of a circle     Practice Questions answers       Textbook answers

13.     Algebra: expanding brackets   Practice Questions answers       Textbook answers

14.     Algebra: expanding two brackets   Practice Questions answers       Textbook answers

15.     Algebra: expanding three brackets   Practice Questions answers       Textbook answers

16.     Algebra: expressions – forming     Practice Questions answers       Textbook answers

17.     Algebra: indices     Practice Questions answers       Textbook answers

18.     Algebra: multiplying terms     Practice Questions answers       Textbook answers

19.     Algebra: notation     Practice Questions answers       Textbook answers

20.     Algebra: substitution    Practice Questions answers       Textbook answers

21.     Algebraic fractions: addition   Practice Questions answers     Textbook answers    

22.     Algebraic fractions: division   Practice Questions answers       Textbook answers

23.     Algebraic fractions: multiplication   Practice Questions answers    Textbook answers

24.     Algebraic fractions: simplification   Practice Questions answers    Textbook answers

25.    Angles: alternate, corresponding     Practice Questions answers       Textbook answers

26.     Angles: bearings     Practice Questions answers       Textbook answers

27.     Angles: position if given bearings     Practice Questions answers    Textbook answers  

28.     Angles: drawing     Practice Questions answers       Textbook answers

29.     Angles: estimation     Practice Questions answers       Textbook answers

30.     Angles: full circle (at a point)   Practice Questions answers       Textbook answers

31.     Angles: measuring     Practice Questions answers       Textbook answers

32.     Angles: polygons    Practice Questions answers       Textbook answers

33.     Angles: quadrilaterals   Practice Questions answers       Textbook answers

34.     Angles: right angle   Practice Questions answers       Textbook answers

35.     Angles: straight line   Practice Questions answers       Textbook answers

36.     Angles: tessellations    Practice Questions answers       Textbook answers

37.     Angles: triangle    Practice Questions answers       Textbook answers

38.     Angles: types of   Practice Questions answers       Textbook answers

39.     Angles: vertically opposites     Practice Questions answers       Textbook answers

40.     Area: circles    Practice Questions answers       Textbook answers

41.     Area: compound shapes    Practice Questions answers       Textbook answers

41a.     Area: hexagon     Practice Questions answers       Textbook answers

42.     Area: L – shape     Practice Questions answers      Textbook answers

43.     Area: on a grid     Practice Questions answers      Textbook answers

44.     Area: parallelogram   Practice Questions answers      Textbook answers

45.     Area: rectangle   Practice Questions answers      Textbook answers

46.     Area: sector    Practice Questions answers     Textbook answers

47.     Area: semi-circle    Practice Questions answers    Textbook answers

48.     Area: trapezium    Practice Questions answers    Textbook answers

49.     Area: triangle   Practice Questions answers    Textbook answers

50.     Averages: median   Practice Questions answers      Textbook answers

51.     Averages: median from a table     Practice Questions answers    Textbook answers

52.     Averages: median from grouped   Practice Questions answers    Textbook answers

53.     Averages: mean   Practice Questions answers      Textbook answers

54.     Averages: mean from a table   Practice Questions answers    Textbook answers

55.     Averages: mean (estimated)   Practice Questions answers    Textbook answers

56.     Averages: mode   Practice Questions answers       Textbook answers

57.     Averages: range   Practice Questions answers        Textbook answers

58.     Circles: arc length     Practice Questions answers    Textbook answers

59.     Circles: area    Practice Questions answers    Textbook answers

60.     Circumference   Practice Questions answers    Textbook answers

61.     Circles: parts   Practice Questions answers     Textbook answers

62.     Circles: semi-circle  Practice Questions answers    Textbook answers

63.     Circles: segment area     Practice Questions answers     Textbook answers

64.     Circle theorems – theorems     Practice Questions answers    Textbook answers

65.     Circle theorems – examples     Practice Questions answers    Textbook answers

65a.  Proof: right angle in a semi-circle Practice Questions answers    Textbook answers 

65b.     Proof: circumference/centre  Practice Questions answers     Textbook answers 

65c.     Proof: same segment    Practice Questions answers     Textbook answers 

65d.     Proof: cyclic quadrilaterals    Practice Questions answers     Textbook answers 

65e.  Proof: alternate segment theorem  Practice Questions answers     Textbook answers

65f.     Proof: radius and tangent proof    Practice Questions answers   Textbook answers  

66.     Congruent shapes   Practice Questions answers    Textbook answers

67.     Congruent triangles     Practice Questions answers     Textbook answers

68.     Constructions: 30 degree angle    Practice Questions answers    Textbook answers

69.     Constructions: 45 degree angle    Practice Questions answers    Textbook answers

70.     Constructions: 60 degree angle  Practice Questions answers     Textbook answers

71.     Constructions: 90 degree angle   Practice Questions answers     Textbook answers

72.     Constructions: angle bisector   Practice Questions answers    Textbook answers

73.     Constructions: equilateral triangles Practice Questions answers    Textbook answers

74.     Constructions: hexagon    Practice Questions answers     Textbook answers

75.     Constructions: loci part 1      Practice Questions answers     Textbook answers

76.     Constructions: loci part 2     Practice Questions answers      Textbook answers

77.     Constructions: loci part 3     Practice Questions answers      Textbook answers

78.     Perpendicular bisector   Practice Questions answers    Textbook answers

79.     Perpendicular to a point    Practice Questions answers    Textbook answers

80.     Perpendicular through a point     Practice Questions answers    Textbook answers

81.     Constructions: triangles ASA    Practice Questions answers    Textbook answers

82.     Constructions: triangles SAS    Practice Questions answers    Textbook answers

83.     Constructions: triangles SSS    Practice Questions answers    Textbook answers

84.     Coordinates     Practice Questions answers    Textbook answers

85.     Coordinates: shapes on a grid     Practice Questions answers     Textbook answers

86.     Coordinates: 3D     Practice Questions answers    

87.     Coordinates: midpoint of a line     Practice Questions answers    Textbook answers

88.     Distance between two points     Practice Questions answers     Textbook answers

89.     Data handling cycle  Practice Questions answers    

90.     Decimals: addition     Practice Questions answers    Textbook answers

91.     Decimals: subtraction     Practice Questions answers    Textbook answers

92.     Decimals: division by decimals   Practice Questions answers    Textbook answers

93.     Decimals: dividing decimals by whole numbers    Practice Questions answers    Textbook answers

94.     Decimals: multiplying   Practice Questions answers    Textbook answers

95.     Decimals: ordering    Practice Questions answers    Textbook answers

96.     Recurring decimals to fractions     Practice Questions answers    Textbook answers

97.     Dimensional analysis     Practice Questions answers    

98.     Division: short division   Practice Questions answers    Textbook answers

99.     Division by 10, 100, 1000 etc     Practice Questions answers    Textbook answers

100.     Division by powers of 10     Practice Questions answers    Textbook answers

101.     Division: by decimals   Practice Questions answers    Textbook answers

102.     Dividing decimals by integers    Practice Questions answers    Textbook answers

103.     Division: remainders   Practice Questions answers    Textbook answers

104.     Enlargements   Practice Questions answers     Textbook answers

104a.    Centre of enlargement  Practice Questions answers    Textbook answers

105.     Enlargements: describing   Practice Questions answers   Textbook answers

106.     Finding centre of enlargement     Practice Questions answers     Textbook answers

107.     Fractional scale factor   Practice Questions answers    Textbook answers

108.     Negative scale factor  Practice Questions answers    Textbook answers

109.     Ray method  Practice Questions answers    

110.     Equations: solving   Practice Questions answers    Textbook answers

111.     Equations: fractional      Practice Questions answers    Textbook answers

111a.   Solving fractional advanced  Practice Questions answers    Textbook answers    

112.     Equations: cross multiplication     Practice Questions answers     Textbook answers

113.     Equations: letters both sides   Practice Questions answers     Textbook answers

114.     Equations: angles/perimeter     Practice Questions answers     Textbook answers

115.     Equations: forming     Practice Questions answers     Textbook answers

116.     Trial and improvement    Practice Questions answers     Textbook answers  

117.     Factorisation   Practice Questions answers    Textbook answers

118.     Factorisation: quadratics   Practice Questions answers     Textbook answers

119.     Factorisation: quadratics harder   Practice Questions answers    Textbook answers 

120.     Difference between two squares   Practice Questions answers     Textbook answers

121.     percentages to decimals   Practice Questions answers     Textbook answers

122.     percentages to fractions    Practice Questions answers     Textbook answers

123.     decimals to fractions    Practice Questions answers     Textbook answers

124.     decimals to fractions (calc)    Practice Questions answers     Textbook answers

125.     decimals to percentages   Practice Questions answers     Textbook answers

126.     fractions to percentages     Practice Questions answers     Textbook answers

127.     fractions to decimals   Practice Questions answers     Textbook answers

128.     fractions to decimals (calc)   Practice Questions answers     Textbook answers

129.     FDP key equivalents     Practice Questions answers     Textbook answers

130.     FDP mixture   Practice Questions answers     Textbook answers

131.     FDP ordering      Practice Questions answers     Textbook answers    

132.     Addition (same denominator)    Practice Questions answers     Textbook answers

133.     Fractions: addition (different)   Practice Questions answers    Textbook answers

134.     Fractions: division   Practice Questions answers     Textbook answers

135.     Fractions: equivalent   Practice Questions answers    Textbook answers

136.     Fractions: expressing as   Practice Questions answers    Textbook answers

137.     Fraction of an amount    Practice Questions answers    Textbook answers

138.     Find original (fractions)    Practice Questions answers    Textbook answers

139. Improper fractions to mixed numbers  Practice Questions answers   Textbook answers

140. Mixed numbers to improper fractions  Practice Questions answers   Textbook answers

141.    Increase/decrease by a fraction  Practice Questions answers    Textbook answers

142.     Fractions: multiplication   Practice Questions answers    Textbook answers

143.     Fractions: of shapes    Practice Questions answers    Textbook answers

144.     Fractions: ordering    Practice Questions answers    Textbook answers

145.     Fractions: reciprocal   Practice Questions answers     Textbook answers

146.     Fractions: simplifying    Practice Questions answers    Textbook answers

147.     Graphs: bar charts (draw)     Practice Questions answers     Textbook answers

148.     Graphs: bar charts (interpret)    Practice Questions answers    Textbook answers

149.     Box plots (draw and interpret)    Practice Questions answers    Textbook answers

150.     Graphs: box plots (compare)    Practice Questions answers    Textbook answers

151.    Drawing conversion graphs    Practice Questions answers    Textbook answers

152.     Conversion graphs (interpret)  Practice Questions answers    Textbook answers

153.     Cumulative frequency (draw)  Practice Questions answers    Textbook answers

154.     Cumulative frequency (interpret)  Practice Questions answers    Textbook answers

155.     Frequency polygons (draw)  Practice Questions answers    Textbook answers

156.     Frequency polygons (interpret) Practice Questions answers    Textbook answers

157.     Histograms (draw)  Practice Questions answers    Textbook answers

158.     Histograms (find frequency)  Practice Questions answers    Textbook answers

159.     Histograms harder  Practice Questions answers    Textbook answers

160.     Line graphs (draw and interpret)    Practice Questions answers    Textbook answers

161.     Graphs: pictograms (draw)    Practice Questions answers    Textbook answers

162.     Graphs: pictograms (interpret)   Practice Questions answers    Textbook answers

163.     Graphs: pie charts (draw)  Practice Questions answers    Textbook answers

164.     Graphs: pie charts (interpret)    Practice Questions answers    Textbook answers

165.     Graphs: scatter graphs (draw)   Practice Questions answers    Textbook answers

166.     Scatter graphs (interpret)    Practice Questions answers    Textbook answers

167.     Scatter graphs (line of best fit)    Practice Questions answers    Textbook answers

168.     Scatter graphs (correlation)    Practice Questions answers    Textbook answers

169.     Graphs: stem and leaf (draw)   Practice Questions answers    Textbook answers

170.     Graphs: stem and leaf (interpret)    Practice Questions answers    Textbook answers

171.     Travel graphs (draw and interpret)    Practice Questions answers    Textbook answers

172.     Indices         Practice Questions answers    Textbook answers

173.     Indices: fractional     Practice Questions answers    Textbook answers

174.     Indices: laws of       Practice Questions answers    Textbook answers

175.     Indices: negative     Practice Questions answers    Textbook answers

176.     Inequalities     Practice Questions answers    Textbook answers

177.     Inequalities – number line      Practice Questions answers    Textbook answers

178.     Inequalities: (one sign)     Practice Questions answers    Textbook answers

179.     Inequalities: (two signs)     Practice Questions answers    Textbook answers

180.     Inequalities: graphical y>a or x>a   Practice Questions answers    Textbook answers

181.     Graphical y>x+a or x+y>a    Practice Questions answers    Textbook answers

182.     Inequalities: regions   Practice Questions answers    Textbook answers

183.     Limits of accuracy    Practice Questions answers    Textbook answers

184.     Limits of accuracy: problems    Practice Questions answers    Textbook answers

185.     Length of a line segment     Practice Questions answers    Textbook answers

186.     Drawing using xy table    Practice Questions answers    Textbook answers

187.     Drawing using y=mx+c  Practice Questions answers    

188.     Linear graphs: across one method    Practice Questions answers    Textbook answers

189.     Gradient of a line    Practice Questions answers    Textbook answers

190.     Gradient between two points    Practice Questions answers    Textbook answers

191.     Linear graphs: y=mx+c    Practice Questions answers    Textbook answers

192.     Linear graphs: y=a graphs    Practice Questions answers    Textbook answers

193.     Linear graphs: x=a graphs    Practice Questions answers    Textbook answers

194.     Finding equation of a line    Practice Questions answers    Textbook answers

195.     Equation of line given coordinates    Practice Questions answers   Textbook answers

196.     Parallel lines   Practice Questions answers    Textbook answers

197.     Perpendicular lines    Practice Questions answers    Textbook answers

198.     Midpoint of a line segment     Practice Questions answers    Textbook answers

199.     Multiplication: grid method   Practice Questions answers    Textbook answers 1     Textbook Answers 2

200.     Multiplication: column method   Practice Questions answers   Textbook answers 1   Textbook Answers 2

201.     End number     Practice Questions answers      Textbook answers

202.     Multiplication: by 10, 100 etc     Practice Questions answers    Textbook answers

203.     Multiplication: powers of 10      Practice Questions answers    Textbook answers

204.     Multiplication: decimals   Practice Questions answers    Textbook answers

204a    Multiplication: Times tables   Textbook Answers

205.     Negatives: addition     Practice Questions answers    Textbook answers

206.     Negatives: multiplication    Practice Questions answers    Textbook answers

207.     Negatives: division    Practice Questions answers    Textbook answers

208.     Negatives: ordering     Practice Questions answers     Textbook answers

209.     Negatives: real life     Practice Questions answers    Textbook answers

210.     Number: best buys   Practice Questions answers    Textbook answers

211.     Number: BODMAS     Practice Questions answers    Textbook answers

212.    Number: cube numbers    Practice Questions answers    Textbook answers

213.     Number: cubing a number    Practice Questions answers    Textbook answers

214.     Number: cube root     Practice Questions answers    Textbook answers

214a.     Number: currency   Practice Questions answers    Textbook answers

215.     Number: estimation   Practice Questions answers    Textbook answers

216.     Number: factors   Practice Questions answers    Textbook answers

217.     Midpoint between two numbers   Practice Questions answers    Textbook answers

218.     Common multiples and LCM    Practice Questions answers    Textbook answers

219.     Common factors and HCF   Practice Questions answers    Textbook answers

220.     Number: multiples   Practice Questions answers     Textbook answers

221.     Ordering numbers   Practice Questions answers      Textbook answers

222.     Number: place value     Practice Questions answers    Textbook answers

223.     Product of primes   Practice Questions answers    Textbook answers

224.     LCM/HCF    Practice Questions answers    Textbook answers

225.     Number: prime numbers     Practice Questions answers    Textbook answers

226.     Number: square numbers    Practice Questions answers    Textbook answers

227.     Number: squaring a number   Practice Questions answers    Textbook answers

228.     Number: square root   Practice Questions answers    Textbook answers

229.     Triangular numbers     Practice Questions answers    Textbook answers

230.     Rational & irrational numbers   Practice Questions answers    Textbook answers

231.     Parallel lines     Practice Questions answers    Textbook answers

232.     Perpendicular lines     Practice Questions answers    Textbook answers

233.     Percentages: change    Practice Questions answers    Textbook answers

234.     Percentages: non-calculator    Practice Questions answers    Textbook answers

235.     Percentages: of an amount (calc)   Practice Questions answers    Textbook answers

236.     Percentages: compound interest   Practice Questions answers    Textbook answers

237.     Percentages: expressing  Practice Questions answers    Textbook answers

238.     Percentages: increasing by  Practice Questions answers     Textbook answers

239.     Percentages: multipliers   Practice Questions answers    Textbook answers

240.     Percentages: reverse   Practice Questions answers    Textbook answers

241.     Perimeter: of shapes   Practice Questions answers    Textbook answers

242.     Perimeter: on a grid     Practice Questions answers    Textbook answers

243.     Perimeter: semi-circle   Practice Questions answers    Textbook answers

244.     Probability: OR rule     Practice Questions answers    Textbook answers

245.     Probability: basic     Practice Questions answers    Textbook answers

246.     Sample space diagrams     Practice Questions answers    Textbook answers

247.     Probability: conditional    Practice Questions answers    Textbook answers

248.     Relative frequency    Relative Frequency answers    Textbook answers

249.     Independent events    Practice Questions answers    Textbook answers

250.     Probability: not happening     Practice Questions answers    Textbook answers

251.     Probability: scale     Practice Questions answers     Textbook answers

252.     Probability: tree diagrams    Practice Questions answers    Textbook answers

253.     Listing outcomes     Practice Questions Answers    Textbook answers

254.     Proportion: direct     Practice Questions answers    Textbook answers

255.     Proportion: inverse     Practice Questions answers    Textbook answers

255a.   Unitary Method            Practice Questions answers    Textbook answers

256.     Proportion: recipes    Practice Questions answers    Textbook answers

257.     Pythagoras   Practice Questions answers    Textbook answers

258.     Pythagoras on a graph    Practice Questions answers    Textbook answers

259.     Pythagoras: 3D  Practice Questions answers    Textbook answers

260.     Pythagoras Extra 1:    Practice Questions answers    Textbook answers

261.     Pythagoras Extra 2:   Practice Questions answers    Textbook answers

262.     Area of a regular hexagon    Practice Questions answers    

263.     Distance between two points     Practice Questions answers    Textbook answers

264.     Quadratic graphs: drawing    Practice Questions answers    Textbook answers

265.     Quadratic graphs: using key points    Practice Questions answers    Textbook answers

266.   Quadratics: solving  Practice Questions answers   Textbook answers 1    answers 2

267.     Quadratics: formula    Practice Questions answers      Textbook answers

267a.     Using completing the square    Practice Questions answers    Textbook answers

267b.     Quadratic Formula proof    Practice Questions answers    Textbook answers

267c.    Solving Quadratics Graphically     Textbook answers

268.     Questionnaires    Practice Questions answers    Textbook answers

269.     Ratio: simplifying     Practice Questions answers    Textbook answers

270.     Ratio: sharing the total     Practice Questions answers    Textbook answers

271.     Ratio: given one value     Practice Questions answers    Textbook answers

271a.   Ratio: given two ratios    Practice Questions answers    Textbook answers

271b    Ratio: difference between     Practice Questions answers    Textbook answers

271c     Ratio: expressing as 1:n       Practice Questions answers    Textbook answers

271d.    Ratio: equations/ratios       Practice Questions answers    Textbook answers

271e.    Ratio: solving problems 1     Practice Questions answers    Textbook answers

272.     Reflections   Practice Questions answers    Textbook answers

273.     Reflections: describing     Practice Questions answers    Textbook answers

274.     Reflections: finding mirror line     Practice Questions answers    Textbook answers

275.     Rotations    Practice Questions answers    Textbook answers

276.     Rounding: to whole numbers     Practice Questions answers    Textbook answers

277a.     Rounding: to nearest 10    Practice Questions answers    Textbook answers

277b.     Rounding: to nearest 100    Practice Questions answers    Textbook answers

278.     Rounding: to 1, 2 decimal places     Practice Questions answers    Textbook answers

279a.     Rounding: significant figures    Practice Questions answers    Textbook answers

280.     Rounding: highest/lowest values    Practice Questions answers    Textbook answers

281.     Sampling: stratified  Practice Questions answers    Textbook answers

282.     Sampling: random    Practice Questions answers    Textbook answers

283.     Scales and maps    Practice Questions answers    Textbook answers

284.     Scales: reading    Practice Questions answers    Textbook answers

285.     Sensible estimates     Practice Questions answers    Textbook answers

286.     Describing rules    Practice Questions answers    Textbook answers

287.     Missing terms    Practice Questions answers    Textbook answers

287a.  Fibonacci     Textbook answers

288.     Sequences: nth term    Practice Questions answers    Textbook answers

289.     nth term fractional sequences     Practice Questions answers    Textbook answers

290.     Sequences: patterns    Practice Questions answers    Textbook answers

291.     Similar shapes: definition   Practice Questions answers    Textbook answers

292.     Similar shapes: finding sides    Practice Questions answers    Textbook answers

293a.     Similar shapes: area      Practice Questions answers    Textbook answers

293b.     Similar shapes: volume  Practice Questions answers    Textbook answers

294.     Similar shapes: further    Practice Questions answers    Textbook answers

295.     Simultaneous eqns: elimination     Practice Questions answers    Textbook answers

296.     Simultaneous eqns (substitution)    Practice Questions answers    Textbook answers

297.     Simultaneous eqns (graphical)    Practice Questions answers    Textbook answers

298.    Simult eqns (linear/non-linear)  Practice Questions answers   Textbook answers

299.     Speed, distance and time    Practice Questions answers    Textbook answers

300.     Standard form     Practice Questions answers    Textbook answers

301.     Standard form: addition     Practice Questions answers    Textbook answers

302.     Standard form: multiplication     Practice Questions answers    Textbook answers

303.     Standard form: division     Practice Questions answers    Textbook answers

304.     Subtraction    Practice Questions answers    Textbook answers

305.    Surds    Practice Questions answers    Textbook Answers

306.     Surds: addition/subtraction    Practice Questions answers     Textbook Answers

307.     Surds: rationalising denominators    Practice Questions answers    Textbook Answers

308.     Surds: expanding brackets   Practice Questions answers   Textbook Answers

309.     Surface area: mixture      Practice Questions answers    Textbook answers

310.     Surface area: cuboid     Practice Questions answers    Textbook answers

311.     Surface area: L-shape prism    Practice Questions answers    Textbook answers

312.     Surface area: other prisms    Practice Questions answers    Textbook answers

313.     Surface area: sphere    Practice Questions answers    Textbook answers

314.     Surface area: cone    Practice Questions Answers    Textbook answers

315.     Surface area: cylinders    Practice Questions answers    Textbook answers

316.     Symmetry: line     Practice Questions answers    Textbook answers

317.     Symmetry: rotational    Practice Questions answers    Textbook answers

318.     Tables: distance charts    Practice Questions answers    Textbook answers

319.     Tables: two-way tables   Practice Questions answers    Textbook answers

320.     Tables: timetables   Practice Questions answers      Textbook answers

321.     Tally charts     Practice Questions answers    Textbook answers

322.     Time: calculations    Practice Questions answers    Textbook answers

322a.    Transformations: mixture    Practice Questions answers    Textbook answers

323.     Transformations of graphs    Practice Questions answers    Textbook answers

324.     Transformations of trig graphs    Practice Questions answers    Textbook answers

325.     Translations: vector  Practice Questions answers    Textbook answers

326.     Translations: describing  Practice Questions answers    Textbook answers

327.     Triangles: types of   Practice Questions answers    Textbook answers

328.     Triangles: congruent    Practice Questions answers    Textbook answers

329.     Trigonometry introduction:     Practice Questions answers    Textbook answers

330.     Trigonometry missing sides:     Practice Questions answers    Textbook answers

331.     Trigonometry – angles:     Practice Questions answers    Textbook answers

332.     Trigonometry: 3D    Practice Questions answers    Textbook answers

333.     Sine rule missing sides     Practice Questions answers    Textbook answers

334.     Sine rule missing angles     Practice Questions answers    Textbook answers

335.     Cosine rule missing sides     Practice Questions answers    Textbook answers

336.     Cosine rule missing angles     Practice Questions answers    Textbook answers

337.     Trigonometry: area of a triangle   Practice Questions answers    Textbook answers

338.     Trigonometry: Sine graph     Practice Questions answers    Textbook answers

339.     Trigonometry: Cosine graph     Practice Questions answers    Textbook answers

340.     Trigonometry: Tangent graph     Practice Questions answers    Textbook answers

341.     Trigonometry: Exact values    Practice Questions answers   Textbook Answers

342.     Qualitative/Quantitative data     Practice Questions answers    Textbook answers

343.     discrete/continuous data     Practice Questions answers    Textbook answers

343a.   Primary/Secondary data     Textbook answers

344.     Types of graph: cubics    Practice Questions answers    Textbook answers

345.     Types of graph: exponential   Practice Questions answers    Textbook answers

346.     Types of graph: reciprocal    Practice Questions answers    Textbook answers     

347.      metric and imperial units     Practice Questions answers     Textbook answers 

348a.     imperial units for length    Practice Questions answers    Textbook answers    

348b.     imperial units for mass        Practice Questions answers    Textbook answers   

348c.     imperial units for capacity     Practice Questions answers    Textbook answers     

349a.     metric units for length     Practice Questions answers     Textbook answers

349b.     metric units for mass       Practice Questions answers     Textbook answers

349c.     metric units for capacity      Practice Questions answers     Textbook answers

349d.     metric to imperial (length)    Practice Questions Answers    Textbook answers     

349e.     metric to imperial (mass)    Practice Questions Answers    Textbook answers     

349f.     metric to imperial (capacity)    Practice Questions Answers    Textbook answers     

350.     Units: converting areas     Practice Questions answers     Textbook answers

351.     Units: converting volumes     Practice Questions answers     Textbook answers

352.     Use of a calculator   Practice Questions answers     Textbook answers

353.     Vectors      Practice Questions answers     Textbook answers

353a.   Column Vectors    Practice Questions answers     Textbook answers

354.     Views      Practice Questions answers     Textbook answers

355.     Volume: cube and cuboid    Practice Questions answers    Textbook answers  

356.     Volume: prism     Practice Questions answers     Textbook answers

357.     Volume: cylinder     Practice Questions answers     Textbook answers

358.     Volume: L-shape prism     Practice Questions answers     Textbook answers

359.     Volume: cone      Practice Questions answers     Textbook answers

360.     Volume: pyramid     Practice Questions answers     Textbook answers

361.     Volume: sphere      Practice Questions answers     Textbook answers

362.     Number: Writing figures in words     Practice Questions answers     Textbook answers

363.     Number: Writing words in figures    Practice Questions answers     Textbook answers

364.    Flow Charts     Practice Questions answers    Textbook answers

365.    Algebraic Proof    Practice Questions answers    Textbook answers

366.    Geometric Proof     Practice Questions answers    Textbook answers

367.     Linear Programming     Practice Questions answers    Textbook answers

368.     Intersecting Chord Theorem     Practice Questions answers    Textbook answers

369.     Inverse functions     Practice Questions answers    Textbook answers

370.     Composite functions     Practice Questions answers    Textbook answers

371.      Quadratic graph     Practice Questions answers    Textbook answers

372.      Equation of a tangent     Practice Questions answers    Textbook answers

373.      Iteration     Practice Questions answers    Textbook answers

373a.    Change of Sign     Practice Questions answers    Textbook answers

374.     Arithmetic progressions     Practice Questions answers    Textbook answers

375.      Geometric progressions     Practice Questions answers    Textbook answers

376.      Frequency Trees     Practice Questions answers    Textbook answers

377.      Error Intervals     Practice Questions answers    Textbook answers

378.      Inequalities: quadratic     Practice Questions answers    Textbook answers

379.      Set notation     Practice Questions answers    Textbook answers

380.      Venn Diagrams         Practice Questions answers    Textbook answers

381.       Shortest distance from point/line   Practice Questions answers    Textbook answers

382.       Time series     Practice Questions answers    Textbook answers

383.       Product rule for counting     Practice Questions answers    Textbook answers

384.       Density     Practice Questions answers    Textbook answers

385.       Pressure     Practice Questions answers    Textbook answers

386.       Function Machines      Textbook answers

387.        Reading Tables     Practice Questions answers    Textbook answers

388.       Quadratic sequences     Practice Questions answers     Textbook answers

398.       Binary      Textbook answers
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January 2nd Solutions

August 12, 2014 Comments off

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January 1st Solutions

August 12, 2014 Comments off

Numeracy

 

 

Foundation

 

 

Higher 

 

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