Name: _______________________________ Registration Class: ______________________ Mathematics Teacher: ___________________ Ysgol y Creuddyn The Mathematics Department Fill in the Roman Numerals: 1 2 3 4 5 6 7 8 9 10 I II III IV V VI VII VII IX X 11 12 13 14 15 16 17 18 19 20 XI XII XIII XIV XV XVI XVII XVIII XIX XX 21 22 23 24 25 26 27 28 29 30 XXI XXII XXIII XXIV XXV XXVI XXVII XXVIII XXIX XXX 31 32 33 34 35 36 37 38 39 40 XXXI XXXII XXXIII XXXIV XXXV XXXVI XXXVII XXXVIII XXXIX XL 41 42 43 44 45 46 47 48 49 50 XLI XLII XLIII XLIV XLV XLVI XLVII XLVIII XLIX L 51 52 53 54 55 56 57 58 59 60 LI LII LIII LIV LV LVI LVII LVIII LIX LX 61 62 63 64 65 66 67 68 69 70 LXI LXII LXIII LXIV LXV LXVI LXVII LXVIII LXIX LXX 71 72 73 74 75 76 77 78 79 80 LXXI LXXII LXXIII LXXIV LXXV LXXVI LXXVII LXXVIII LXXIX LXXX 81 82 83 84 85 86 87 88 89 90 LXXXI LXXXII LXXXIII LXXXIV LXXXV LXXVI LXXXVII LXXXVIII LXXXIX XC 91 92 93 94 95 96 97 98 99 100 XCI XCII XCIII XCIV XCV XCVI XCVII XCVIII XCIX C Author: Dr. Gareth Evans, www.mathemateg.com, 12 January 2017 /adolygumathemateg Page II Ysgol y Creuddyn The Mathematics Department Instructions: Fill in the boxes before marking your work using the answers provided by the teacher. Who are you? 0–4 Romulus 5–9 Saint Elen 10–14 Caratacus 15–19 Claudius 20–24 Boudica 25 Magnus Maximus @mathemateg Page III Ysgol y Creuddyn The Mathematics Department Gladiator Slaves Easy Questions Citizen Common People Medium difficulty questions Emperor Ruler of the Empire Difficult Questions /adolygumathemateg Page IV Ysgol y Creuddyn The Mathematics Department Numeracy with the Romans: Session 01 Score: ____ Who are you? _________________ Gladiator 1) 4 × 7 = 28 2) 27 + 34 = 61 3) 27 ÷ 3 = 9 5) Subtract 37p 1 4) 3m = 300 cm 6) hour before 14:03 = 13:33 from £1.21 = £0.84 or 84p 2 7) Quarter of 24 = 6 8) 1.2 + 1.9 = 3.1 9) 50% of 14 = 7 Citizen 10) How many halves are 1 11) The mean of 10, 5, 3 = 6 12) The range of 1, 3, 2, 4 = 3 there in 3 ? 7 2 13) 9.55 to one decimal place 14) 8 – 6 ÷ 2 = 5 15) 2³ = 8 = 9.6 16) √16 = 4 17) 35% as a decimal = 0.35 18) 3 hours = 180 minutes Emperor 3 4 21) The area of an 8cm by 19) 5 × 0.6 = 3 20) The reciprocal of is 4 3 3cm rectangle is 24 cm² 22) 80 × 0.1 = 8 23) 43 – 68 = –25 24) 20% of 14 = 2.8 25) A piece of cheese weighing 250g costs £1.80. How much is the cost per 100g? £0.72 History Around 2,000 years ago, the city of The Roman Empire in the Rome in Italy was home to a very large year 117 A.D. Empire extending over Europe, North Africa and Asia. At its peak, the Empire reigned over 45 million people. Rome grew from being a small town into a very large city. @mathemateg Page V Ysgol y Creuddyn The Mathematics Department Numeracy with the Romans: Session 02 Score: ____ Who are you? _________________ Gladiator 1) 2 × 12 = 24 2) 63 + 20 = 83 3) 30 ÷ 5 = 6 4) 5cm = 50 mm 5) 5² = 25 6) A pentagon has 5 sides 1 7) = 25 % 8) 14 × 2 = 28 9) 50% of 16 = 8 4 Citizen 10) The perimeter of an 8cm 11) The mean of 12) The range of by 5cm rectangle is 26cm 1, 2, 3, 4, 5 = 3 1, 2, 3, 4, 5 = 4 13) 0.246 to two decimal 14) 2 + 4 × 6 = 26 15) 30% of 40 = 12 places = 0.25 1 16) √36 = 6 17) 25% as a fraction = 18) 3 days = 72 hours 4 Emperor 21) The volume of a cube with 19) 3 × 2.4 = 7.2 20) (3 + 5) × 4 = 32 sides measuring 3cm = 27 cm³ 24) 253 to one significant 22) 4 ÷ 0.5 = 8 23) 1.6 – 0.7 = 0.9 figure= 300 25) How many 49p cakes can Claudius buy with a £5 note? 10 History According to legend, Rome was established by the twin brothers Romulus and Remus, in the year 753 B.C. The brothers were left to drown in the river Tiber by their evil uncle, but the young boys were saved by wolves (see the statue on the right). The twin brothers decided to establish a new city, but couldn’t decide where to locate it. During an argument, Remus was killed. Romulus decided to name the new town after him. /adolygumathemateg Page VI Ysgol y Creuddyn The Mathematics Department Numeracy with the Romans: Session 03 Score: ____ Who are you? _________________ Gladiator 1) 6 × 5 = 30 2) 19 + 13 = 32 3) 28 ÷ 2 = 14 4) 1kg = 1,000 g 5) 6² = 36 6) 7 – 10 = –3 1 7) = 50 % 8) 13 × 3 = 39 9) 10% of 70 = 7 2 Citizen 10) The area of a 4cm by 3cm 11) The mean of 3, 2, 7 = 4 12) The range of 8, 4, 9 = 5 rectangle is 12cm² 13) 12.36 to one decimal place 14) 4 + 5 × 2 = 14 15) 20% of 15 = 3 = 12.4 16) √9 = 3 17) 24% as a decimal = 0.24 18) 2 minutes = 120 seconds Emperor 20) The perimeter of a 6cm by 21) The volume of a 2cm by 19) 4 × 0.3 = 1.2 3.5cm rectangle is 19cm 3cm by 4cm cuboid is 24cm³ 24) 5.208 to the 22) 2.4 ÷ 0.4 = 6 23) 147 – 89 = 58 nearest unit = 5 25) 49 × 6 = 294 History In the early days, monarchs reigned over Rome. According to legend, Romulus was the first king. The last king was Tarquinius Superbus (see the statue on the right), who was expelled by the Romans in the year 509 B.C. A republic was established to take the monarchy’s place. In this system, two consuls were elected each year, so that neither of them could become too powerful. @mathemateg Page VII Ysgol y Creuddyn The Mathematics Department Numeracy with the Romans: Session 04 Score: ____ Who are you? _________________ Focusing on: Rounding Off Gladiator 1) 582 to the nearest 10 = 580 2) 28 to the nearest 10 = 30 3) 389 to the nearest 10 = 390 4) 283 to the nearest 100 5) 2,829 to the nearest 100 6) 13,532 to the nearest 100 = 300 = 2800 = 13,500 7) 4,327 to the nearest 1,000 8) 14,872 to the nearest 1,000 9) 624,239 to the nearest = 4,000 = 15,000 1,000 = 624,000 Citizen 10) 3.27 to the nearest unit 11) 8.06 to the nearest unit 12) 213.81 to the nearest unit = 3 = 8 = 214 13) 7.21 to one decimal place 14) 82.35 to one decimal place 15) 4.98 to one decimal place = 7.2 = 82.4 = 5.0 16) 12.372 to two decimal 17) 287.027 to two decimal 18) 1,245.72502 to two places = 23.37 places = 287.03 decimal places = 1,245.73 Emperor 19) 83 to one significant figure 20) 7,622 to one significant 21) 0.0023 to one significant = 80 figure = 8,000 figure = 0.002 22) 278 to two significant 23) 92,345 to two significant 24) 0.002352 to two significant figures = 280 figures = 92,000 figures = 0.0024 25) Calculate 2 + 7 × 3, giving your answer to one significant figure. 20 History As the Roman Republic grew in power, so did its military force. Neither the two consuls nor the other senators could always control the army. In 49 B.C., Rome’s most powerful general was Julius Caesar. His dream was to rule over Rome as king. The senators disliked this idea, and so Caesar was killed by them in 44 B.C. /adolygumathemateg Page VIII Ysgol y Creuddyn The Mathematics Department Numeracy with the Romans: Session 05 Score: ____ Who are you? _________________ Gladiator 2) Ten minutes after 1:54 p.m. 1) 3 × 8 = 24 3) 14 + 28 = 42 = 2:04 p.m. 4) 1 litres = 1,000 ml 5) 15 ÷ 2 = 7.5 6) 0.4 + 0.2 = 0.6 7) £1.23 + £0.17 = £1.40 8) June = 30 days 9) 10% of £200 = £20 Citizen 10) The area of a 6cm by 8cm 11) Median of 3, 2, 7 = 3 12) 65% as a decimal = 0.65 rectangle is 48 cm² 13) 9.6 to the nearest unit = 14) 5 – 2 + 3 = 6 15) 2 × 26 = 52 10 18) 13:42 on the 12 hour 16) 7² = 49 17) Half of 70 = 35 clock = 1:42 p.m. Emperor 19) 5 + 0.2 + 0.14 = 5.34 20) A cube has 6 faces 21) 3 ÷ 0.25 = 12 23) Circle the greatest 1 1 3 24) 23.5 to one significant 22) + = number: 2 4 4 1 figure = 20 0.23 22% 4 25) What is the total of the first ten even numbers, beginning with 2? 110 History Following the murder of Julius Caesar, a civil war broke out in Rome between the republicans and Caesar’s supporters. After a victory near the Gulf of Actium on the shores of Greece, Octavianus, Caesar’s nephew, became Rome’s ruler in 27 B.C.