km �
= 40,000 m
1 km
x = 18 5. C, right triangle 6. 9.96 � 10 7 7. = (equal sign); 9 � 4 =
100 cm 1 m
0 m �
= 4,000,000 cm/hr
1,000 g 1 kg
kg �
= 11,800 g
108 3
1 Mg 1,000,000 g = 0.0118 Mg
g �
8. 2.2 5 = 0.44 0.44 � 100 = 44% 9. |4 – 7| 3 = |-3| 3 = 1 10. 3:30 = 1:10 11. $75,000,000 � 26.4 = $1,980,000,000 12. 3.14 � (3.7) 2 � 6 = 257.92 ≈ 258 in. 3 13. 2.4 mi � 1 hr 30 mi = .08 hr .08 hr � 60 min 1 hr = 4.8 mins. 14. 3:39 = 1:13
Answer Key (cont.)
aur Dimensions rsion order may vary. Please accept all nable equations. 0 cm � 0.3937 in. 1 cm � 1,464.56 in. .56 in. in. � 122.05 feet 00 km � 0.6214 mi. 1 km � 5,716.88 mi n. � 1 cm 0.3937 in. � 243.84 cm 4 cm � 10 mm 1 cm � 2,438.40 mm m � 3.2808 ft 1 m � 4.99 ft t � 12 in. 1 ft � 59.88 in. n. n. � 4.01 � 4 sixth-graders m � 3.2808 ft 1 m � 122.05 ft = 18 ft ft – 18 ft = 104.05 ft
AN
SCHOLASTIC MATH MARCH 11, 2019 (PAGE 4)
Where Math Gets Real
ANSWERS
continued from page 3
Page 67: Exit Slips Answers will vary. Accept all reasonable answers based on the graph. A. 1. It appears that the graph is showing the cost of popcorn over the years and that the larger the size of popcorn, the more expensive it is. Also, the units are not labeled on the y -axis. B. 1. See bar graph below. 27 15 20. 12:(14 � 12) = 12:168 or 1:14 1 hr = $37.50 per week 19. Madison: 78 – 60 = 18 days Minneapolis: 79 – 58 = 21 days Winnipeg: 78 – 49 = 29 days 4. The ragweed pollen season would be expected to end on October 17. July 15 – July 31: 17 days August 1 – August 31: 31 days September 1 – September 30 = 30 days October 1 – October 17 = 17 days 17 + 31 + 30 + 17 = 95 days 15 15 + 12 15 = 1987 6. Cities farther north are experiencing longer ragweed pollen seasons. The farther north a city is, the greater the change in length of the ragweed pollen season. PAGE 8 THESE DRONES SAVE LIVES! 1. 200 < h < 400 2. YEAR 1997 2007 2017 Sessions 23 & 24 These Drones Save Lives! Page 69: Graphing Ranges 5. The ragweed pollen season has gotten longer and increased in number of days for all of the cities in the map. $0 $2 $4 $6 $8 $10 COST OF MOVIE TICKETS BY DECADE
Flying Ranges 1. 0 < s ≤ 45
15. 24° + 53° = 77° 180° – 77° = 103° 16. 3 � 4 = 12 17. A, line graph 18. 2.5 hr � $15 SCHOLASTIC MATH MARCH 11, 2019 (PAGE 1) 0
10
20
30
40
50
2. 1.5 < b < 65
0 5 10 15 20 2530 3540 4550 5560 65
3. 0 ≤ w < 24
34 ÷ 100 = 0.34 = 34% 5. D, hundred billions 6. A, Archimedes and Zu Chongzhi 7. 12 100 = 3 25 8. 3.1408 < pi < 3.1429 9. 3 4 ÷ 1 8 = 3 4 � 8 1 = 24 15 10 5 0 0 1 4. 14 < t ≤ 104 5. 0 ≤ d ≤ 11
20
25
0 10 20 30 40 50 60 70 80 90 100 110
yers
23456 78 91011
ches s
4 = 6 apple pi pies 10. Answers will vary. Possible answers: The series is alternating subtracting and adding the fractions. The denominators of each fraction are increasing in sequential odd numbers. PAGE 14 RIVER OTTER REBOUND 1. 0 10 20 30 40 50 0 1 2 3 4 5 5 6 7 8 9 10 Exit Slips: A 1B. 5 ≤ p ≤ 70 Exit Slips: B 1B. 0 ≤ m ≤ 6 Exit Slips: B 1D. 5.6 ≤ t ≤ 10.4 Page 71: Solving Inequalities 1. h ≤ 6 × 24 h ≤ 144 2. q > -13.2 – 7.3 q > -20.5 3. d ≥ 23.4 ÷ 2.4 d ≥ 9.75 4. g > 8.5 × 7.2 g > 61.2 5. 126 ÷ -12 ≤ n -10.5 ≤ n 6. - z < 30 – 13.3 z > -16.7 YEAR OTTER SPOTTER REPORTS PERCENT CHANGE FROM PREVIOUS YEAR n/a +2.33% +6.82% +6.38% 2012 173 2012 n/a Otters on the Rise? 1. Year River Otter Population Percent Change From Previous Year 2007 2008 8,600 8,800 2009 2010 9,400 10,000 10,400 2011 +4.00% 10,200 10,100 -1.92% -0.98% 10,600 10,800 +4.95% +1.89% ANSWERS
60
70
6
11
f ( x ) 4 7.75 9 7.75
scholastic.com/math
River Otter Rebound Exit Slips B. 1.
CALIFORNIA’S SEA OTTER POPU
Perc
Year
Sea Otter Population
From
4 4
2012
2,792
0 100 200 300 400 SCHOLASTIC MATH MARCH 11, 2019 (PAGE 3) 2013 2014 2015 2016 2017
2,882
2013
2013 227 +31.2% 2014 360 +58.6% 2015 359 -0.2% 2016 388 +8.1% 2017 334 -13.9% MARCH 11, 2019 • Answers Page 72: Exit Slips 10,800 10,700 Exit Slips A. 1A. 5 ≤ p ≤ 70 1B. See number line on page 4. B. 1A. 0 ≤ m ≤ 6 1B. See number line on page 4. 1C. 23 mi 60 min × 4 mi x x = 10.4 minutes 43 mi 60 min × 4 mi x x = 5.6 minutes 5.6 ≤ t ≤ 10.4 1D. See number line on page 4. +0.00% -0.93%
2014
2,881
Real
2015
2,990
3,194
2016
3. 60°F ≤ t ≤ 86°F 4.
70°F 2005: (118 + 89 + 80 + 76 + 78 + 52 + 71) ÷ 7 = 564 ÷ 7 = 80.57 ≈ 81 days The average length of ragweed pollen season in 2009 had increased by 10 days as compared to 1995. Exit Slips A. 1A. Fargo 1B. Georgetown 2. 5 cities: Winnipeg, Minneapolis, Madison, Papillion, Fargo Winnipeg: 71 – 57 = 14 days Minneapolis: 78 – 62 = 16 days
sc
60°F Page 70: Flying Ranges See number lines for questions 1 through 5 in the next column. 1. 0 < s ≤ 45 2. 1.5 < b < 65 3. 0 ≤ w < 24 4. 14 < t ≤ 104 5. 0 ≤ d ≤ 11 80°F 90°F 5. 0 < w < 4 6. 0 1 2 3 4 7. 328 ft + 160 ft = 488 ft 328 ≤ e ≤ 488 8. f ( x ), or y -value (vertical distance in feet)
x – 0.5 x 2 + 5
57 that the total population of river otters has increased or decreased because it only shows the number of river otter sightings near San Francisco and it is not a RIVER OTTER REBOUND SKILLS SHEETS Writing Percent Equations 1. 90 = 0.75 n ; 90 ÷ 0.75 = n n = 120 2. 0.60 × 85 = n ; n = 51 3. n × 150 = 24; n = 24 ÷ 150 n = 0.16; n = 16% 2013: 173 � 1.312 = 227 Otter Spotter reports 2015: 360 � 0.998 = 359 Otter Spotter reports 2017: 388 � 0.861 = 334 Otter Spotter reports 2. The number of Otter Spotter reports has mostly increased over time. 3A. 2016 3B. The number of reports in 2016 were significantly greater—more than double the number in 2012. 4. 173 � (1 + 2.15) = 545 otter sighting 5. No, you could not use the chart to prove
20 0) – 0.5(0) 2 + 5 5 ) – 0.5(2) 2 + 5 9 ) – 0.5(4) 2 + 5 9 6) – 0.5(6) 2 + 5 5 8) – 0.5(8) 2 + 5 -3 nd between the points because it crossed a positive to negative x nts the height all. at around ase accept all ents may solve on, graph which point he parabola LS SHEETS
300 350 400 450 500 9. 0 < f ≤ 30 10. Madison: 76 – 64 = 12 days Papillion: 80 – 69 = 11 days Fargo: 52 – 36 = 16 days B. 1. March 20 – March 31: 12 days
0 10 20 30 40 April 1 – April 30: 30 days May 1 – May 22: 22 days 12 + 30 + 22 = 64 days
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