Measurement Workbook 5, Part 2

Transcription

1 Measurement Workbook 5, Part 2 page 1 Worksheet ME5-8 page a) 9 b) 10 c) 13 a) 5 b) 3 3. a) Top and bottom: 4 Sides: 2 b) Base: 3 Height: 4 Hypotenuse: Answers will vary. Worksheet ME5-9 page a) About 4 index fingers = About 40 mm 2. b) About 6 index fingers = About 60 mm a) 38 mm b) 47 mm 3. Top and bottom: 5 Sides: 1.5 Diagonal: 5.2 = 52 mm 4. Answers will vary. 5. a) 38 mm b) 15 mm c) 60 mm 7. mm a) 46 b) 6 c) a) 70 mm b) 910 mm c) 45 d) 2 e) 6200 mm 11. Teacher to check 12. Teacher to check distance between lines: in in mm Answers will vary. 17. a) b) c) d) OR e) Worksheet ME5-10 page a) dm b) dm c) dm Answers will vary teacher to check dm = 100 mm Worksheet ME5-11 page Answers will vary Answers will vary a) m b) m c) m d) m 6. Answers will vary Worksheet ME5-12 page Streetcar 4 Streetcar 5 7:45 8:00 7:50 8:05 7:55 8:10 8:00 8:15 a) 5 min; 10 min; 15 min c) 7:15; 8:00; 10:45 2. a) 6 km b) 9 km 10 km 8 km 3. a) 24 km 4. No b) 84 km c) 30 km d) 3 km Worksheet ME5-13 page a) 100 b) 100 c) m m mm mm dm Since 2 m with 25 is equal to 225 there is no difference in measurements. 5. a) 4 m 23 b) 5 m 14 c) 6 m 27 d) 6 m 73 e) 3 m 81 f) 2 m 3 6. a) 283 b) 365 c) 485 d) 947 e) 704 f) a) 5 m 46 = 5.46 m b) = 2 m 17 = 2.17 m c) = 7 m 83 = 7.83 m d) = 6 m 48 = 6.48 m 8. A dollar is 100 cents and a metre is 100. Worksheet ME5-14 page km 2. a) 7 hours b) 14 hours c) 28 hours 3. a) 368 km b) 1

2 page 2 4. a) Dawson City: 405 km Eagle s Nest: 37 km b) 271 km c) 465 km d) About 4.5 hours Worksheet ME5-15 page mm; 10 ; 1 dm 2. a) largest - dm; smallest - mm b) The smaller unit c) More of the smaller units a) 10 b) 10 c) 100 d) 10 e) 100 f) b) i) 10 times smaller i multiply by c) i) 10 smaller i multiply 63 d) i) 100 times smaller i 100 times more 100 ERRATA Question should read, 3 m =. ANSWER 300 e) i) 10 smaller i multiply by dm f) i) 10 smaller i mm g) i) 10 smaller i mm h) i) 100 times smaller i 4. a) 40 dm b) 130 mm c) 200 mm 5. Ostrich Fern Royal Fern Bracken Fern Oak Fern 100 times more mm 6. Since 362 mm is equal to 36.2, and 36.2 is longer than 20, 362 mm is longer than Since 32 times 4 parts equals 128 or 1.28 m, and 1.28 m is longer than 1 m, 32 times 4 parts is longer than a metre. 8. Since 90 equals 9 dm, then 9 dm will cost 9 dm 5 = Michelle is incorrect. To change 6 m 80 to metres, you must divide 80 by 100 and add 6. The answer is 6.80 m. Worksheet ME5-16 page a) mm = millimetre thickness of a fingernail; = centimetre length of a finger; m = metre height of a door; km = kilometre distance to Moscow. b) mm = millimetre length of a flea; 2. a) m b) dm c) m 3. a) 4. b) m c) d) e) m a) km b) c) m d) mm e) km f) m g) = centimetre length of a pen; m = metre length of a canoe; km = kilometre distance to the moon. 5. Answers will vary Red Fox (55 ) 2. Beaver (40 ) 3. Grey Squirrel (23 ) 4. Black Bear (12 ) 5. European Rabbit (7 ) a) 553 m; 2 km; 20 years b) ERRATA Values should read, ANSWER km; 5.5 hours; 11 km Worksheet ME5-17 page H1 H2 B1 B a) 66 ; 6.6 dm b) 100 ; 10 dm c) 66 m d) 225 bricks 3. H1 H2 B1 B Worksheet ME5-18 page a) 15 m b) m m buses m m Worksheet ME5-19 page a) = 14 b) = 16 c) = 14 d) = A: 16 units B: 20 units C: 22 units 3. Answers will vary. 2

3 page 3 Worksheet ME5-20 page ; 8 ; a) 24 m b) 28 c) 6 km d) 30 e) C, A, D, B 3. a) P = 18 b) P = a) 10 1; 2 5 b) 12 1; 2 6; 3 4 c) 1 7 d) 12 1; P = a) $4.20 b) Sally could make two different rectangles: 2 4 and 1 8. The border would be least expensive for the 2 4 one since its perimeter is less (12 m vs 18 m). Worksheet ME5-21 page a) 6 m b) 6 m c) 3 m 2. a) Length = 4 3. b) Width = 4 c) Length = 3 d) Width = 1 m a) W = 1, L = 2 b) W = 1, L = 5; W = 2, L = 4; W = 3, L = 3. c) W = 1, L = 7; W = 2, L = 6; W = 3, L = 5; W = 4, L = 4. d) W = 1, L = 8; W = 2, L = 7; W = 3, L = 6; W = 4, L = To find the perimeter of a rectangle, add its length and width, and then a) Input Output 6. a) b) Multiply the INPUT by 2 and add 4. c) P = 24 b) c) 7. a) b) = 8 units = 10 units = 12 units = 5 units = 7 units 8. a) i) 1, 8; 2, 10; 3, Yes. 2 and add 6 i 26 b) i) 1, 8; 2, 10; 3, 12 2 and add 6 i 26 Worksheet ME5-22 page A: 10.8 B: 8.8 C: 15.6 D: 15.6 E: 12 F: a) W C b) The circumference is about 3 times greater than the width. Worksheet ME5-23 page a) 8 2 b) 8 2 c) a) 8 2 b) 3 2 c) Area of A = 6 2 Area of B = 4 2 Area of C = Answers will vary. 5. Answers will vary rectangle: OR 4 3 rectangle: Worksheet ME5-24 page a) 4 3 = 12 b) 2 3 = 6 c) 3 2 = 6 d) 5 3 = a) 3 7 = 21 b) 3 4 = 12 c) 3 2 = 6 d) 4 6 = a) Length = 6 units Width = 2 units Area = 12 sq units b) Length = 3 units Width = 2 units Area = 6 sq units c) Length = 4 units Width = 3 units Area = 12 sq units 4. a) 2 3 = 6 2 b) 1 3 = 3 2 c) 2 4 = 8 2 d) 4 3 = 12 2 e) 2 5 = Area = Length Width Worksheet ME5-25 page a) 2 5 = 10 2 b) 1 3 = 3 2 c) 3 5 = a) 6 m 7 m = 42 m 2 b) 3 m 7 m = 21 m 2 c) 4 8 = a) A: 3 m 7 m = 21 m 2 B: 4 5 = 20 2 C: 11 m 6 m = 66 m 2 D: 3 km 2 km = 6 km 2 b) D, C, A, B 4. Width = 3 (since you can find the width by dividing the area by the length, and is 3 )

4 page 4 7. OPTION 1 Box 1: 2 2 = 4 Box 2: 3 6 = 18 Total Area: = 22 OPTION 2 Box 1: 2 5 = 10 Box 2: 3 4 = 12 Total Area: = possible rectangles: 1 20, 2 10, 4 5 Worksheet ME5-26 page 279 NOTE: For estimation questions, consider the diagonal of the square unit equals a) 3 whole squares b) 2 whole squares c) 3 whole squares d) 3 whole squares e) 8 whole squares f) 8 whole squares g) 4 whole squares h) 5 whole squares i) 11 whole squares j) 13 whole squares k) 10 whole squares 2. a) 7.5 square units b) 6 square units c) 7.5 square units 3. a) More: shaded = 7 unshaded = 5 and 7 > 5 b) Equal: shaded = 4 unshaded = 4 c) Less: shaded = 3 unshaded = 4 and 3 < 4 4. a) 1 2 b) 4 square units c) 2 square units 5. a) 1 square units b) 3 square units c) 3 square units d) 5 square units 6. a) 3 square units b) 3 square units c) 6 square units d) 2 square units 7. a) 5 square units b) 2 square units c) 8 square units d) 9 square units 8. a) 6 square units b) 8.5 square units c) 8.5 square units 9. a) Area: 5 square units Fraction: 5 9 b) Area: 1 square units Fraction: 1 4 c) Area: 4 square units Fraction: 4 8 Worksheet ME5-27 page a) 7 half squares = 3.5 total squares b) 9 half squares = 4.5 total squares c) 14 half squares = 7 total squares 2. a) Area = = 6 b) Area = = 7 c) Area = = 12 d) Area = = 8 3. NOTE: Answers may vary since they are estimates. a) 10 total squares b) 7 total squares Worksheet ME5-28 page 282 NOTE: Answers may vary since they are estimates. 1. a) Area: 5 square units Perimeter: 14 units b) Area: 12 square units Perimeter: 16 units c) Area: 6 square units Perimeter: 11 units 2. a) Teacher to check shapes drawn by students. b) Shape A Old Area: 1 units 2 Old Per: 4 units New Area: 4 units 2 New Per: 8 units Shape B Old Area: 2 units 2 Old Per: 6 units New Area: 8 units 2 New Per: 12 units Shape C Old Area: 0.5 units 2 Old Per: 3.5 units New Area: 2 units 2 New Per: 7 units Shape D Old Area: 1 units 2 Old Per: 5 units New Area: 4 units 2 New Per: 10 units c) The area of the shape quadruples (is multiplied by 4). d) The perimeter doubles. Worksheet ME5-29 page Shape P A 2. No 3. D & G A B C D E F G E; B, C & G; D; F; A 5. E & B; D; C; F& G; A 6. No 7. Perimeter is the length along the outside edge of a shape. Area is the measure of the space contained within the edges of a shape. Worksheet ME5-30 page This table gives actual measurements only: R P A A B C D E F G a) 6 2 b) a) 5 2 b) The perimeter is unchanged. Worksheet ME5-31 page a) 4 m b) c) $168 d) $9.60 e) $ Length Width

5 page 5 3. Answers will vary. c) a) 3 2 = 6 5. Balloon = grams Since length = 2 width, then P = 3 widths 2 = 6 width Worksheet ME5-32 page a) 280 b) 175 c) 160 d) a) 15 b) 24 c) a) 0.5 m b) 2 m c) 6 m d) Answers will vary 4. a) Perimeter = 22 m Area = 30 m b) 12 m 2 c) Teacher to check Worksheet ME5-33 page a) 4 b) 12 c) a) b) c) d) ) a) b) Worksheet ME5-34 page a) = = 12 b) = = 10 c) = in each 3 7 = a) = 12 b) 3 4 = a) 6 b) = 24 c) 6 4 = a) = = 6 b) = = 40 c) = a) 3; 6 b) 2; 12 c) 3; 18 d) 4; = a) = Yes b) = 60 c) = 48 d) = a) A: 12 2 B: 12 2 C: 18 2 b) A: 12 3 B: 12 3 C: 18 3 c) A: 24 3 B: 60 3 C: 36 3 b) 4 2 = 8 c) 4 3 = a) = 24 b) = 24 c) = a) Width: 2 Length: 2 Height: 2 Volume = 8 b) Width: 2 Length: 3 Height: 2 Volume = 12 c) Width: 2 Length: 4 Height: 2 Volume = 16 d) Width: 2 Length: 3 Height: 5 Volume = a) Width: 2 Length: 3 Height: 5 Volume = 30 b) Width: 2 Length: 2 Height: 3 Volume = 12 c) Width: 2 Length: 5 Height: 10 Volume = 100 Worksheet ME5-35 page Answers will vary. 2. Answers will vary. 3. a) 35 g b) 12 g c) 24 g d) 350 g e) 10 quarters f) 4 pennies 4. Answers will vary. Key = grams Truck = kilograms 6. Scissors = g Computer = kg Tape = g 7. C, A, B 8. a) kg b) kg c) g d) g e) g f) g 9. a) 4 kg b) 2 g, 2 g, 2 g or 1 g, 2 g, 3 g 10. ERRATA The Greek word khilioi means thousands. 11. a) $42 b) 300 g c) 520 kg kg g Worksheet ME5-36 page a) ml b) ml c) L d) ml or L e) L f) ml 2. a) L b) Answers may vary. c) ml d) Answers may vary. 3. a) 4 b) 6 c) 3 containers of C 4. a) 10 b) 5 c) 2 d) ml 5

6 page 6 Worksheet ME5-37 page a) 1 ml b) 1 ml c) 1 ml 2. a) 12 b) 36 c) 36 3 d) 36 ml 3. a) Water displaced: 300 ml b) Water displaced: 100 ml c) Water displaced: 600 ml d) Water displaced: 700 ml Since a cylinder has a circular base, measuring its volume using centicubes would be difficult Worksheet ME5-38 page 295 ERRATA This section is mistakenly called ME a) 327 cents b) 816 cents c) 902 cents d) 307 cents 2. a) 501 BONUS: b) 308 c) 714 d) 948 e) f) a) m b) m c) m d) m e) m f) m 4. a) 122 min b) 65 min c) 130 min d) 195 min e) 228 min f) 265 min BONUS: 5. a) $9.02 b) $18.03 c) $57.02 d) 9.07 m e) 5.27 m f) 5.2 g) 6.1 dm h) L i) kg 6