CFE Resources National 4
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1 Pegasys Educational Publishing CFE Resources National 4 Numeracy Worksheet Pack Answers Please note: many more relevant examples on this Numeracy unit can be found within our very extensive National 4 Pack 3 - Unit NUM. item CE5 in our most current order form. Thank you.
2 ANSWERS N4 - Four Rules with Whole Numbers and Decimals 1. (a) 3310 metres (b) 82 metres g days 6. (a) 33000, 47000, 50000, (b) (a) 324 (b) (a) 6 15 metres (b) 7 metres (c) mg cm g 12. Total is 3 4m so Gerry has enough wood N4 - Rounding and Calculations (1) 1. (a) 30 (b) 860 (c) 490 (d) 80 (e) 560 (f) 1240 (f) 570 (g) (a) 1400, 1000 (b) 4600, 5000 (c) 900, 1000 (d) 8500, 8000 (e) 26300, (f) 87500, (g) , (h) , (a) 57 (b) 9 (c) 6 (d) 15 (e) 29 (f) 342 (g) 123 (h) 9 4. (a) 26 3 (b) 8 5 (c) 34 7 (d) 2 6 (e) 14 8 (f) 23 9 (g) 39 6 (h) 7 7 (i) 29 3 (j) 1 6 (k) 68 7 (l) 4 3 (m) (n) 18 9 (o) 4 5 (p) (a) (b) 8 12 (c) 3 79 (d) (e) 4 72 (f) 7 86 (g) (h) (i) 6 24 (j) 6 56 (k) 1 79 (l) 9 27 (m) (n) 8 99 (o) (p) (a) 14 8 (b) 2 6 (c) 1 7 (d) 22 1 (e) 27 4 (f) (a) (b) (c) (d) (e) 7 67 (f) (a) 0 43 (b) 0 58 (c) 0 56 (d) (a) 4 (b) 26 (c) 4 (d) (a) 4.25 (b) (c) 4.09 (d) (a) 4.42 (b) 6p p and 18p
3 N4 - Rounding and Calculations (2) - Significant Figures 1. (a) 40 (b) 200 (c) 5 (d) 2 (e) 5 (f) 1000 (g) 40 (h) 7 (i) 9 (j) (k) 70 (l) 400 (m) 100 (n) 9 (o) 200 (p) (a) 36 (b) 7 5 (c) 46 (d) 2 1 (e) 14 (f) 34 (g) 28 (h) 250 (i) 460 (j) 2500 (k) 1100 (l) (m) 1200 (n) 190 (o) (p) (a) 130 (b) 4 8 (c) 57 (d) 990 (e) 8 8 (f) 330 (g) 20 (h) 26 (i) 0 16 (j) 330 (k) 2 1 (l) (a) 220 metres (b) 1300 steps (c) wavelengths (d) 0 02 N4 - Calculations Involving Simple Fractions 1. (a) 34 (b) 132 (c) 414 (d) 36p (e) 162kg (f) 23p (g) 63cm (h) 6.16 (i) 90kg (j) 24p (k) 5.40 (l) 945 (m) 6 88cm (n) 138 (o) 6p (p) 1 28kg (a) 4500 (b) (a) 20 (b) 15 (c) N4 - Calculations Involving Simple Percentages 1. (a) 12 (b) 63 (c) 4 8kg (d) 40p (e) 4.80 (f) 51g (g) 7 5cm (h) 120 (i) 72p (j) 6p (k) 3.90 (l) 98kg (m) 33 (n) 81p (o) 7 (p) 23 4kg Team A 24; team B 20; team C minutes (a) 104 (b) 120 (c) 128
4 N4 - Problems Involving Percentages 1. Clock Radio: 31.50; Skate Board: Yo Yo: Video Camera: CD Player: Cool Shades: Camera (a) 12 (b) 72 Shades (a) 5.20 (b) Ring (a) 46 (b) 276 CD (a) 2.40 (b) Skates (a) 9.60 (b) Bike (a) 36 (b) 216 CD Player (a) (b) ml gallons 10. No, sofa would cost (a) 6110 (b) Strawberry N4 - Managing Time (1) - 12 hour time 1. (a) 3 hours (b) 9 hours (c) 5 hours (d) 13 hours (e) 13 hours (f) 22 hours 2. (a) 5 hours 30 minutes (b) 4 hours 30 minutes (c) 3 hours 45 minutes (d) 3 hours 45 minutes (e) 6 hours 45 minutes (f) 13 hours 30 minutes 3. (a) 6 hours (b) 4 hours 15 minutes (c) 5 hours 15 minutes (d) 12 hours 15 minutes (e) 10 hours 15 minutes (f) 14 hours 45 minutes minutes 5. 5 hours 35 minutes 6. 8 hours 50 minutes hours 15 minutes 8. (a) 1.50pm (b) 12.50pm (c) 4.50pm 9. (a) 10.25pm (b) 12.16am (c) 3.15pm (d) 2.10am 10. (a) 12.25am (b) 12.47pm (c) 6.35am (d) 10.35am
5 N4 - Managing Time (2) - 24 hour time 1. (a) 40 minutes (b) 23 minutes (c) 38 minutes (d) 16 minutes (e) 40 minutes (d) 32 minutes 2. (a) 3 hours 25 minutes (b) 5 hours 25 minutes (c) 2 hours 10 minutes (d) 1 hour 20 minutes (e) 13 hours 20 minutes (f) 2 hours 35 minutes (g) 14 hours 35 minutes (h) 17 hours 35 minutes (i) 5 hours 33 minutes (j) 1 hour 43 minutes (k) 3 hours 49 minutes (l) 4 hours 39 minutes 3. (a) 0930 (b) 1615 (c) 1620 (d) 1710 (e) 2125 (f) (a) 1058 (b) 1230 (c) 1616 (d) 1021 (e) 1543 (f) (a) 2320 (b) 10 minutes N4 - Speed, Distance & Time (1) - Calculating Distance 1. (a) 180 km (b) 225 miles (c) 210 km (d) 51 km (e) 26 miles (f) 20 km 2. (a) 2240 km (b) Can t complete journey in 8 hours as it would take hours 3. (a) 153 km (b) 162 km km km miles N4 - Speed, Distance & Time (2) - Calculating Speed 1. (a) 80 km/h (b) 320 km/h (c) 48 mph (d) 8 km/h (e) 6 km/h (f) 8 km/h (g) 56 mph 2. (a) 76 km/h (b) 36 mph (c) i) 3 hours 30 minutes ii) 40 mph 3. 3 m/s mph 5. (a) 15 minutes (b) 38 km/h mph N4 - Speed, Distance & Time (3) - Calculating Time 1. (a) 5 hours (b) 11 hours (c) 1 hour 30 minutes (d) 11 hours 30 minutes (e) 1 hour 15 minutes (f) 8 hours 45 minutes 2. 2 hours 45 minutes 3. (a) 2 hours 20 minutes (b) 45 minutes (c) 40 minutes (d) He will be on time as he will arrive at 1405
6 N4 - Speed, Distance & Time (4) miles 2. (a) Yes, he will arrive at pm. (b) 162 km 3. (a) 9.15 am (b) 90 km/h 4. Sam by 3 minutes 5. (a) 1110 (b) 75 km N4 - Perimeter and Area of a Rectangular Composite Shape 1. (a) 27cm²; 22cm (b) 51cm²; 32cm (c) 324cm²; 88cm (d) 381 cm²; 92cm (e) 226cm²; 82cm (f) 623cm²; 140cm 2. (a) 42cm² (b) 378mm² (c) 1 92m² N4 - Volume of a Cube & Cuboid 1. (a) 72cm³ (b) 512mm³ (c) 1280cm³ 2. (a) 25 2cm³ (b) 28cm³ (c) 120cm³ (d) 1000cm³ 3. (a) 343cm³ (b) 1331cm³ (c) 125mm³ (d) 1 728m³ 4. (a) 49 cubes (b) 60cm³ 5. (a) 48cm 32cm 12cm (b) 18432cm³ litres N4 - Ratio and Proportion 1. (a) 16 : 20 (b) 90 : 60 (c) 18kg : 30kg (d) 30cm : 42cm 2. (a) 15, 45, 60 (b) 11, 22, girls bags 5. (a) 20 dogs (b) 21 emeralds (c) 2400, (a) 1.50 (b) (c) (a) 8.50 (b) (c) (a) 104km (b) 260km (c) 34 litres 9. (a) 21kg (b) 40 loaves minutes mls 14. (a) 5 : 2 (b) litres N4 - Interpreting and Using Charts, Graphs and Tables 1. (a) Curry Powder 10g; Coriander 5g; Italian Seasoning 5g (b) Curry Powder 32g; Italian Seasoning 16g 2. Peter did a survey of the makes of cars in his street. The results are shown in the table: (a) Check pupil s diagram (b) 4 (c) (a) Special K (b) Sugar Puffs (c) 31 (d) 5 4. (a) Check pupil s diagram (b) Weetabix (c) Coco Pops (d) 9 5. (a) 113 (b) (a) John (b) John 20; Joseph 10; James 5; Mick 5 (c) Check pupil s diagram
7 7. (a) Time Tally Frequency (b) Check pupil s diagram (c) (a) 42 hours (b) 7 hours (c) 1 4, 1 9, 0 7, 0 4, 0 7, (a) Intensity Tally Total (b) Check pupil s diagram (c) (a) Check pupil s diagram (b) Upwards, downwards then upwards again from middle of month onwards. (c) (d) Any relevant comments about the graphs. 11. (a) David (b) 1 hour 15 minutes (c) 45 minutes N4 - Simple Probability 1. (a) (i) 20 (ii) 20 (b) (i) 15 (ii) 5 (iii) 0 2. (a) 14 (b) 2/3 3. 2/3 4. (a) 1/4 (b) 1/2 (c) 3/4 5. (a) 1/5 (b) 14/25 6. (a) 0 3 (b) 10 (c) 0 4 (d) 6/7 7. (a) 3/13 (b) 5/ squares 9. (a) 3/10 (b) 3/ N4 - Reading and Using Scales 1. (a) 1 5kg (b) 0 275kg 2. (a) 70ml (b) 175ml (c) 45ml 3. (a) 12 o F (b) 54 o F (c) 72 o (d) 6 5 o F (e) o F 4. (a) 70km/h (b) 2 hours 30 minutes 5. (a) 128 km/h (b) 224 km/h (c) 40 km/h (d) 152 km/h 6. (a) 95 gallons (b) 35 gallons kg kg
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