ANSWERS FOR BOOK N5-Lifeskills Assessment Exercises.

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1 ANSWERS FOR BOOK N5-Lifeskills Assessment Exercises. Ch 1 - Numeracy Ass 1 - page $ million billion 7. a 4100 b 8200 c 700 d 8000 e 2525 f 1145 g -200 h -150 i -63 j -11 k -9 l -200 Ch 2 - Numeracy Ass 2 - page a 5 81 b 10 0 c d e f a 4 b 3 7 c a b 7 9 c d e f litre metres light years secs Ch 3 - Numeracy Ass 3 - page Profit = 200 = 33 1 / 3 % a b Ch 4 - Numeracy Ass 4 - page a 8 1 / 3 b 1 6 / 7 c 7 7 / 8 d 14 1 / 4 2. a 7 / 2 b 31 / 3 c 35 / 3 d 69 / 8 3. a 7 / 9 b 3 / 4 c 3 / 10 d 7 5 / 7 4. a 3 / 20 b 15 / 22 c 3 / 4 d 5 / a 1 2 / 9 kg b 7 / 16 kg 6. Josh by 1 / Peter 20, Sally 20 - same 8. 5 / 8 % Ch 5 - Numeracy Ass 5 - page a 2 hrs 54 mins b 2 9 hrs miles km/hr 4. a 6 m/sec, 360 m/min, m/hr b 21 6 km/hr 5. a car - 7 hrs 24 mins, Plane - 1 hr 20 mins car would take 6 hrs 4 mins longer b 364 mins => x 100 = 82% 6. a 25 8 km b 430 metres per minute Ch 6 - Numeracy Ass 6 - page metres metres cm metres 5. a m 2 b No since 4 x = m 2 6. Area = 49 cm cm 2 = cm 2 Ch 7 - Numeracy Ass 7 - page a 4 : 1 b 5 : 2 c 3 : 4 d 2 : : a 6 litres b 15 litres 4. a 80 grams b 3 cakes at most 5. a b 21 minutes & 40 seconds hours less. Ch 8 - Numeracy Ass 8 - page litres 2. no - only holds 1950 ml = 1 95 litres ml -> 8 full glasses (8 49) 4. a ml b 9 95 cm 5. a 540 cm 3 b 2 cm cm 3 Ch 9 - Numeracy Ass 9 - pages 94/95 1. a blue - M74, brown - M77/A76 b Yes (75 mph). c traffic jam or accident d No. The motorway driver, at a higher average speed, will have driven further. 2. a b c d Zoora by a 230 b (i) 135 (ii) 60 c a 41 m ths b ZX-10A c 1 / 8 d mean - ZX-10A is , AC/135 is ZX-10A looks to be much more effective National 5 - Lifeskills this is page 1 Answers to Assessments

2 5. a No coins have zero weight b 8 and 9 c g d 90 g 6. a 275 b 484 c Christmas period Ch 13 - Geom/Measure Ass 3 - page a b 1560 miles, 310 Ch 10 - Numeracy Ass 10 - page a 1 / 8 b 1 / 2 c 7 / 8 2. a accept b not ok c not ok d accept 3. a 8 / 9 or 8 in 9 b Dario , Sergio => Dario 5. a 1 / 2 b 1 / 6 c 5 / 6 d 0 Afton cm Benz cm Numeracy Unit Ass - Pages Assessment Tasks :- 1. a 220 b Ayr c 80 d 18 3% e a 245 : 850 = 49 : 170 b 175 C c 50% d (i) 24 (ii) 75% e (i) 200 g (ii) Is not expensive as coffee shop charges 7p/10 grams - local charges 7p/10 grams 3. a Fairly strong positive correlation b c (i) 12 (ii) 35 (iii) Jan mean - 29, Apr mean => improvement by average of a 10 cm b quarters in size to 2 5 cm 5. a (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2),... (6,5). => 30 combinations b 1 / 6 c approximately 4 times Dowlin 2. a b (i) see map (ii) 250 km North Levern cm SOS 9 cm Greer Rock North Neeskin 3. a b 200 miles, 336 c 128 L cost about 262 Ch 11 - Geom/Measure Ass 1 - page a (45-55) cm b ( ) g c ( ) d ( ) ml e ( ) kg f ( ) ml 2. ((80 ± 8) mg) => answer = (80 mg ± 10%) 3. a yes b no c yes d yes 4. No C is lower than minimum of 1540 C secs 6. a min vol = cm 3, Max vol = cm 3 b max weight = grams Airport cm B A 7 cm 190 Ch 12 - Geom/Measure Ass 2 - page a 6 b 2 75 c 7 d cm 5. a 1 25 b 2 Ch 14 - Geom/Measure Ass 4 - page a 0 2 hr b 0 47 hr c 2 7 hr d 1 05 hr 2. a 3 hrs 18 mins b 8 hrs 24 mins c 2 hrs 20 mins d 42 mins 3. a 110 km b 6 4 km/hr c 5 hrs 20 mins 4. a 360 km/hr b 162 km/hr c 0 72 km/hr d 1 44 km/hr 5. car - 25 m/sec, truck - 20 m/sec => car National 5 - Lifeskills this is page 2 Answers to Assessments

3 6. a 8 29 am b 8:36 am min + 12 hrs 36 mins + 4 hrs 30 mins means he arrived at 0841 next day 2. a this is just a sketch with scale 1 cm = 20 km Ch 15 - Geom/Measure Ass 5 - page a 45 cm b 67 5 cm 2 2. x = 27 5 cm, y = 35 2 cm 3. a km b a b c 4 more 5. Min area = cm 2 Max area = cm 2 Ch 16 - Geom/Measure Ass 6 - page Rule x 16 = 72 which is just ok Rule = 0 4 which is not > than 2 / 5 - so ok. 2. a Rule 2 b Rule 1 3. Ramp is ok since gradient = Ch 17 - Geom/Measure Ass 7 - page a cm 2 b 314 cm 2 2. a 66 3 cm 2 d mm 2 3. a 337 cm 2 b cm 2 4. a m 2 b 6 x = Ch 18 - Geom/Measure Ass 8 - page a 5 x 8 x 12 = A 60 cm shelf - 19 cm, 18 cm, 12 cm, 11 cm 75 cm shelf - 25 cm, 20 cm, 16 cm, 14 cm B 60 cm shelf - 18 cm, 16 cm, 14 cm, 12 cm 75 cm shelf - 25 cm, 20 cm, 19 cm, 11 cm C 60 cm shelf - 19 cm, 16 cm, 14 cm, 11 cm 75 cm shelf - 25 cm, 20 cm, 18 cm, 12 cm minutes Bill - open pack-join L to T-join R to T-join base-fit back-hand 3 Ted-screws-drawer 1-drawer 2-drawer 3-hand 1-hand 2-tidy up Ch 19 - Geom/Measure Ass 9 - page a 380 cm 3 b cm 3 2. a cm 3 b mm cm cm cm cm 3 = cm 3 Geom/Meas Unit Ass - Pages Assessment Tasks :- 1. a 14 hrs 20 minutes b 1940 c no 5.20 in the morning d around 0600 or when she lands in New York Aria 10 cm 60 Berry Scale :- 1 cm = 20 km 7 5 cm 170 Calia b 205 km and on a bearing 284 c Min - 12 hours 20 minutes, Max - 15 hours 51 minutes 3. a 199 b 0 63 cm (or only 225 if 20 cm has to be the height) 5. Activity order D H C D B A/G F Activites Call the college to accept & confirm Write the speech Dress smartly Get money from ATM for journey Walk to Station Travel by train/practice speech Arrive at college and give speech 6. a Limit of acceptable gradients = 0 22 to 0 26 Grad of A = (not safe). Grad of B = (safe) b 7 5 metres 7. a 71 m 2 => 8 litre tins needed b 2 x 2 5 l tins + 3 x 1 L tins = c Area = m 2 x 82 = => No Ch 20 - Finance/Stats Ass 1 - page a b c % 3. a b 13 2% = Ch 21 - Finance/Stats Ass 2 - pgs 216/ a 420 b => VAT = = per month x = 3350 x 1 15 = Profit = which is 55 7% profit - Yes National 5 - Lifeskills this is page 3 Answers to Assessments

4 7. a $ b Lek (no) c 1 33/ 8. a 4738 b a b A overall with 12 payments of B overall with 6 payments of C overall with 12 payments of C has lowest monthly payments, B - cheaper overall 11. UK = , Germany = by 5 07 Ch 22 - Finance/Stats Ass 3 - page a Small p/L, Med p/L, Large p/L Largest works out cheapest 2. Lawnlay , Turfy GreenGrass => Greengrass is cheapest 3. a 4-mobile Movaphone T => 4-Mobile is cheapest b 4-mobile Movaphone T => Yes cheapest is T3 4. a Inverdale Tayport Portlet b Inverdale gives best interest but only if you don t need to withdraw your money during the year Ch 23 - Finance/Stats Ass 4 - page = needs 45 more 2. a b 144 c Entertainment 3. a 1248 and 104 b Yes - 40 left 4. a = 100 x 6 = 600 b 540 Ch 24 - Finance/Stats Ass 5 - page a median = 36 b Q1 = 34, Q3 = a/c b strong positive correlation d kg Wight (kg) 3. a/c Age b the larger the average diameter => the fewer potatoes you get in a bag d 38 kg Number in sack Diameter (cm) Ch 26 - Finance/Stats Ass 7 - page a Q1 = 93, Q3 = 105 b A = 135, B = 120 c average (median) of Heighten sample is higher, but the diameter of the Growmore sample is more consistent - i.e. less variance 3. a mean = 47 miles b SD = 4 34 miles c the Minis travelled on average 7 miles more but the Maxi produced less of a variation in the miles travelled Ch 25 - Finance/Stats Ass 6 - page a yes b 150 g c g 1. a 2 / 5 b 7 / days 3. P(yellow) = 3 / 10 = 0 3 = chance of losing Expect odds of at least = 3 33 to 1 in order to break even. Only offered 3 to 1 Don t accept as you will lose in the long run. 4. You would expect x = 46 to fail 65 failing is way beyond expectations - NO 5. a 3 / 28 b 5 / 14 c 15 / 28 Finan/Stats Unit Ass - Pages Investigation 1 1. a Total = (VAT) = 4334 b Delooks = 2637 National 5 - Lifeskills this is page 4 Answers to Assessments

5 Investigation 2 2. a (i) 1 / 48 (ii) 35 / 48 (iii) 1 / 4 b Various answers, backed up by logical reasoning. e.g The likeliehood of at least 1 repair is only 13 / 48 (just over 1 / 4 ) and repair is only costing 250, so 350 seems a bit steep Investigation 3 3. a 250 b c (i) 264 (ii) 44 1 d Mean was a lot less and there was a lot less variation in the readings. Possibly the 2nd set of readings was for late Spring to early Autumn. Investigation 4 4. a Fixed rate => in interest Variable rate => No - very little difference (10p) b McTaggarts => 5340 Local Bank => Credit Unions => (Cheapest) McTaggarts => 185/month Local Bank => /month Credit Union => /month for 1st year then for 2nd year McTaggarts cheaper at start but Credit Union cheaper during final year. Investigation 5 5. a (i) 60 2 kg (ii) 60 2 kg (iii) 2 4 kg b Pauline had lost on average (mean) 2 6 kg (6 lbs) and her weight appeared to fluctuate less. James had lost on average (mean) 1 3 kg (3 lbs) and his weight appeared to fluctuate less. Pauline appears to have done better. c (i)/(iii) (ii) 53 minutes (iii) about 55 cost ( s) Specimen Paper 1 - Pages a 1430 b 700 km/hr cm cm = 297 cm 3. Tia 190 hours, Lee, 300 hours, Ron 245 hours => Tot = 735 hours = = = 144 => Yes he has enough money left hours 7. Trip Type of Crate 1 B, B, A, A B, A, E B, C, C, A A, A, A, A, D a b 4080 c Option , Option Option 1 cheaper by C = 140 F => 60 : 140 = 3 : metres Specimen Paper 2 - Pages a mean = 81, mode = 76, range = 31 b median = 77, Q1 = 76, Q3 = 81 => SIQR = 2 5 c SD = 11 2 d Various supported by valid arguement mean and median both 81 give good impresssion of the middle. SD is always a better measure of spread as it takes into account all the numbers. 2. a base 12 m m distance (miles) (iv) (approx*) % + 2 x 20 = (*depends on line of best fit - dont penalise) pilot National 5 - Lifeskills this is page 5 Answers to Assessments

6 b 26 miles back to base on a bearing 330 (± 2 ) c Leave with pilot at 0600 => Time taken = 52 mins Arrive at base at 0652 before dawn breaks 3. a Jed ( ) = 25, Lucy ( ) = 26 Lucy is just ahead b Jed ( ) = 58 Lucy ( ) = 53 => needs a 5 c Jed ( ) = Lucy ( ) = 98 If Jed scores 4 with ball 2 in Frame 5, giving a score of 73, he needs to score 25 with his extra ball which is impossible. 4. Use Pythagoras to find height => H = 10 4 cm Volume = cm 3 x 2 / 3 => 294 cm 3 per glass No of glasses = = 10 2 = 10 glasses 5. a = b Louise s estimate is She ended up with less than this c Profit = = a UK petrol (return) = x 1 20 x 2 = 96 Fr petrol = x ( ) x 2 = 36 Ferry + Accomodation = 65 Total = 197 b Train => ( ) = 192 => 5 cheaper c Scottish Airways = Total cost = ( ) = R jet = ( ) = => Ryanjet cheaper by 0 75 d Any answer with a valid reason (cheaper, less hassle, don t like boats etc) 7. a Slabs 180 m m 2 = 198 m 2 x = 2673 Decking = 77 m 2 => (80 m 2 5) x 75 = 1200 Grass (22 x 19) % x 8 50 = 2975 Pond + Extras = 940 Total Cost = 7788 b 2115 c Total Bill = 9903 = > half bill = Total Bill = ( VAT) = National 5 - Lifeskills this is page 6 Answers to Assessments