Revision questions


3A Core skills 1. (i) 28 cm2 (ii) 23 cm2 (iii) 27 cm2 (iv) 27 cm2


3. (i) 201⋅1 m2 (ii) 192 m2 (iii) 960 m2 (iv) 566⋅9m2


4. (i) 7 cm (ii) 4⋅5 cm (iii) 9⋅4 cm (iv) 11⋅7 mm


5. (i) 4 590 cm3 (ii) 1 578⋅7 cm2


6. 2 minutes 7. (i) 14⋅4 cm (ii) 524⋅8 cm2


8. (i) 6 635 km (ii) 69 890 km (iii) 998%


9. (i) 16 755⋅2 cm2 (ii) No (any valid mathematical justification accepted)


10.(i)


(a) Length = 6x (b) Height = 4x + 28


(ii) 6x = 4x + 28 (iii) 14 cm (iv) 7 056 cm2


3B Taking it further


1. (i) Radius = 10 cm, volume = 4 188⋅8 cm3


(ii) Radius = 15 mm, volume = 14 137⋅2 m3


(iii) Radius = 15 mm, volume = 14 137⋅2 mm3


(iv) Radius = 25 km, volume = 65,449⋅8 km3


2. (i) SA = 62 cm2 (ii) SA = 84 cm2 (iii) SA = 88 cm2


3. 4 cm 4. (i) 1⋅8 m3 (ii) 1 m3 (iii) 2 hours and 15 minutes


5. (i) 904⋅78 cm3 (ii) 6⋅21 cm (iii) 3⋅56%


6. (i) 47 320 cm3 (ii) 6 754 cm2


7. 63.4 % 8. (i) 7x(x + 1) OR 7x2


9. (i) (ii) + 7x


(ii) Any valid mathematical substitution accepted (36x + 18) cm2 (70 − 7x) cm2


(iii) x = 2.44 cm (iv) 106 cm2


10.(i) 2 356 194⋅5 cm3 (ii) 981 747⋅7 cm3 (iii) 58⋅3%


Unit 4 Maths in business


Practice questions 4.1 1. (i) €388⋅50 (ii) €86⋅63 (iii) €475⋅13


2. (i) €589⋅00 (ii) €209⋅25 (iii) €798⋅25 (iv) €97⋅50


3. €33 290 4. €54⋅05 5. (i) Joe has incorrectly found 21% of the total amount including VAT, instead of allowing the total amount to equal 121%


6. A = €646.63; B = €96.99; C = €549.64; D = €115.42; E = €665.06


(ii) Total excluding VAT = €450 (iii) €510⋅75


8. Goodies Paint = €119.96, Colour Fast Paints = €112⋅50, so Colour Fast Paints is the cheaper option


7. A: Units = 563; B: Carbon tax = €5⋅06; C: VAT= €11⋅95; D: Total = €100⋅44


9. €2 000 €3 100 €1 100 55%


10.(i) €747⋅50 (ii) €22⋅84 (iii) €1 724⋅20 (iv) €17 601⋅47


11.(i) €226⋅24 (ii) €393⋅87 (iii) €3 193⋅23 (iv) €974⋅63


12.(i) €45 (ii) €18


13.No 14.€2 275 15.UK website 16.Bank A 17.(i) €1=$1⋅10 (ii) €1 = Лв1⋅96 (iii) €1 = £0⋅89 (iv) €1 = ¥123⋅72


18.(i) $885⋅92 (ii) €72⋅13


Practice questions 4.2


1. (i) 50% (ii) 40% (iii) 1.14% (iv) 27% (v) 36% (vi) 74%


2. 18% 3. 74% 4. 38% 5. 21⋅5% 6. (i) 7⋅21% (ii) 7⋅51%


7. (i) €68⋅73 (ii) Underpaying by 16⋅29% (iii) Any valid mathematical answer


8. 20% 9. Second decrease is larger


372 Linking Thinking 2


10.7 361 11.(i) 30 to 40 is a percentage increase of 33⋅33%; 40 to 30 is a percentage decrease of 25%


(ii) The percentages are different because we are dealing with a different whole number in each case


Practice questions 4.3


1. (i) Percentage margin is the percentage profit in terms of the selling price


(ii) Percentage mark-up is the percentage profit in terms of the cost price


2. (i) 19⋅1% (ii) 23⋅6%


3. (i) 30⋅3% (ii) 43⋅5%


4. €3⋅75 5. (i) 2, 25%, 20% (ii) 140, 40, 28⋅57 (iii) 350, 57⋅14, 36⋅36 (iv) 1 200, −20, −25 (v) 1⋅15, 164⋅29, 62⋅16


6. (i) €359⋅10 (ii) €161⋅81 (iii) €13 125 (iv) €43⋅74 (v) €48⋅73


7. (i) €50, 250 (ii) €296⋅15, €846⋅15 (iii) €509⋅09, €2 909⋅09 (iv) €25⋅10, €110⋅09 (v) €34 913⋅79, €484 913⋅79


8. (i) 96% (ii) 49% (iii) 33.3%


Revision questions


4A Core skills 1. (i)


(a) $1 253⋅96 (b) £1 029 (c) ¥134 849 (d) $1919⋅81 (e) Лв2 249⋅17 (f) $6 998⋅56 (g) $1 756⋅40 (h) ¥8 946⋅66


(ii)


(a) €320⋅99 (b) €253⋅45 (c) €21⋅25 (d) €688⋅85 (e) €1 196⋅44 (f) €5 893⋅20 (g) €1 927⋅50


2. (i) 14 600 pesos (ii) €598⋅60


3. (i) €920 (ii) €126 (iii) €3⋅78


4. 13% 5. (i) €409⋅50 (ii) 26⋅25 km (iii) 675 km/h (iv) 24°C (v) €1 281⋅25


6. 7⋅77cm


Page 1  |  Page 2  |  Page 3  |  Page 4  |  Page 5  |  Page 6  |  Page 7  |  Page 8  |  Page 9  |  Page 10  |  Page 11  |  Page 12  |  Page 13  |  Page 14  |  Page 15  |  Page 16  |  Page 17  |  Page 18  |  Page 19  |  Page 20  |  Page 21  |  Page 22  |  Page 23  |  Page 24  |  Page 25  |  Page 26  |  Page 27  |  Page 28  |  Page 29  |  Page 30  |  Page 31  |  Page 32  |  Page 33  |  Page 34  |  Page 35  |  Page 36  |  Page 37  |  Page 38  |  Page 39  |  Page 40  |  Page 41  |  Page 42  |  Page 43  |  Page 44  |  Page 45  |  Page 46  |  Page 47  |  Page 48  |  Page 49  |  Page 50  |  Page 51  |  Page 52  |  Page 53  |  Page 54  |  Page 55  |  Page 56  |  Page 57  |  Page 58  |  Page 59  |  Page 60  |  Page 61  |  Page 62  |  Page 63  |  Page 64  |  Page 65  |  Page 66  |  Page 67  |  Page 68  |  Page 69  |  Page 70  |  Page 71  |  Page 72  |  Page 73  |  Page 74  |  Page 75  |  Page 76  |  Page 77  |  Page 78  |  Page 79  |  Page 80  |  Page 81  |  Page 82  |  Page 83  |  Page 84  |  Page 85  |  Page 86  |  Page 87  |  Page 88  |  Page 89  |  Page 90  |  Page 91  |  Page 92  |  Page 93  |  Page 94  |  Page 95  |  Page 96  |  Page 97  |  Page 98  |  Page 99  |  Page 100  |  Page 101  |  Page 102  |  Page 103  |  Page 104  |  Page 105  |  Page 106  |  Page 107  |  Page 108  |  Page 109  |  Page 110  |  Page 111  |  Page 112  |  Page 113  |  Page 114  |  Page 115  |  Page 116  |  Page 117  |  Page 118  |  Page 119  |  Page 120  |  Page 121  |  Page 122  |  Page 123  |  Page 124  |  Page 125  |  Page 126  |  Page 127  |  Page 128  |  Page 129  |  Page 130  |  Page 131  |  Page 132  |  Page 133  |  Page 134  |  Page 135  |  Page 136  |  Page 137  |  Page 138  |  Page 139  |  Page 140  |  Page 141  |  Page 142  |  Page 143  |  Page 144  |  Page 145  |  Page 146  |  Page 147  |  Page 148  |  Page 149  |  Page 150  |  Page 151  |  Page 152  |  Page 153  |  Page 154  |  Page 155  |  Page 156  |  Page 157  |  Page 158  |  Page 159  |  Page 160  |  Page 161  |  Page 162  |  Page 163  |  Page 164  |  Page 165  |  Page 166  |  Page 167  |  Page 168  |  Page 169  |  Page 170  |  Page 171  |  Page 172  |  Page 173  |  Page 174  |  Page 175  |  Page 176  |  Page 177  |  Page 178  |  Page 179  |  Page 180  |  Page 181  |  Page 182  |  Page 183  |  Page 184  |  Page 185  |  Page 186  |  Page 187  |  Page 188  |  Page 189  |  Page 190  |  Page 191  |  Page 192  |  Page 193  |  Page 194  |  Page 195  |  Page 196  |  Page 197  |  Page 198  |  Page 199  |  Page 200  |  Page 201  |  Page 202  |  Page 203  |  Page 204  |  Page 205  |  Page 206  |  Page 207  |  Page 208  |  Page 209  |  Page 210  |  Page 211  |  Page 212  |  Page 213  |  Page 214  |  Page 215  |  Page 216  |  Page 217  |  Page 218  |  Page 219  |  Page 220  |  Page 221  |  Page 222  |  Page 223  |  Page 224  |  Page 225  |  Page 226  |  Page 227  |  Page 228  |  Page 229  |  Page 230  |  Page 231  |  Page 232  |  Page 233  |  Page 234  |  Page 235  |  Page 236  |  Page 237  |  Page 238  |  Page 239  |  Page 240  |  Page 241  |  Page 242  |  Page 243  |  Page 244  |  Page 245  |  Page 246  |  Page 247  |  Page 248  |  Page 249  |  Page 250  |  Page 251  |  Page 252  |  Page 253  |  Page 254  |  Page 255  |  Page 256  |  Page 257  |  Page 258  |  Page 259  |  Page 260  |  Page 261  |  Page 262  |  Page 263  |  Page 264  |  Page 265  |  Page 266  |  Page 267  |  Page 268  |  Page 269  |  Page 270  |  Page 271  |  Page 272  |  Page 273  |  Page 274  |  Page 275  |  Page 276  |  Page 277  |  Page 278  |  Page 279  |  Page 280  |  Page 281  |  Page 282  |  Page 283  |  Page 284  |  Page 285  |  Page 286  |  Page 287  |  Page 288  |  Page 289  |  Page 290  |  Page 291  |  Page 292  |  Page 293  |  Page 294  |  Page 295  |  Page 296  |  Page 297  |  Page 298  |  Page 299  |  Page 300  |  Page 301  |  Page 302  |  Page 303  |  Page 304  |  Page 305  |  Page 306  |  Page 307  |  Page 308  |  Page 309  |  Page 310  |  Page 311  |  Page 312  |  Page 313  |  Page 314  |  Page 315  |  Page 316  |  Page 317  |  Page 318  |  Page 319  |  Page 320  |  Page 321  |  Page 322  |  Page 323  |  Page 324  |  Page 325  |  Page 326  |  Page 327  |  Page 328  |  Page 329  |  Page 330  |  Page 331  |  Page 332  |  Page 333  |  Page 334  |  Page 335  |  Page 336  |  Page 337  |  Page 338  |  Page 339  |  Page 340  |  Page 341  |  Page 342  |  Page 343  |  Page 344  |  Page 345  |  Page 346  |  Page 347  |  Page 348  |  Page 349  |  Page 350  |  Page 351  |  Page 352  |  Page 353  |  Page 354  |  Page 355  |  Page 356  |  Page 357  |  Page 358  |  Page 359  |  Page 360  |  Page 361  |  Page 362  |  Page 363  |  Page 364  |  Page 365  |  Page 366  |  Page 367  |  Page 368  |  Page 369  |  Page 370  |  Page 371  |  Page 372  |  Page 373  |  Page 374  |  Page 375  |  Page 376  |  Page 377  |  Page 378  |  Page 379  |  Page 380  |  Page 381  |  Page 382  |  Page 383  |  Page 384  |  Page 385  |  Page 386  |  Page 387  |  Page 388  |  Page 389  |  Page 390  |  Page 391  |  Page 392  |  Page 393  |  Page 394  |  Page 395  |  Page 396  |  Page 397  |  Page 398  |  Page 399  |  Page 400  |  Page 401  |  Page 402  |  Page 403  |  Page 404  |  Page 405  |  Page 406