A movie starts at 2:15 and runs for 45 minutes. When does it end? โ 3:00.2:15 + 45 minutes: 15 + 45 = 60 minutes = 1 hour past 2 = 3:00!
School starts at 8:30 and ends at 3:10. How many minutes is the school day? โ 410 min.8:30 to 3:10: 8:30 to 3:30 = 7 hours = 420 min; then minus 20 min = 400 min. Actually 8:30 to 3:10 = 6 hours 40 min = 400 min!
The time is 6:47. How many minutes until 7:00? โ 13.60 โ 47 = 13 minutes until 7:00!
A clock shows 10:54. What time will it be in 8 minutes? โ 11:02.10:54 + 8 = 10:62 โ that is 60 + 2 โ 11:02!
Ann starts homework at 4:17 and finishes at 5:02. How long did she work? โ 45 min.4:17 to 5:17 = 60 min; minus 15 min back = 45 min. Or: 5:02 โ 4:17: from 4:17 to 4:60(=5:00) = 43 min + 2 = 45 min!
Which is closest to 12 o'clock? 11:47, 12:08, or 11:52? โ 12:08.11:47 is 13 min before 12. 11:52 is 8 min before 12. 12:08 is 8 min after 12. 11:52 and 12:08 tie at 8 min!
Ben goes to bed at 8:30 and wakes up at 6:45. How long did he sleep? โ 10 hr 15 min.8:30 to 6:45: 8:30 to 6:30 = 10 hours; plus 15 more minutes = 10 hours 15 minutes!
A practice starts at 5:20. It runs for 40 minutes. When does it end? โ 6:00.5:20 + 40 minutes: 20 + 40 = 60 minutes = 1 hour past 5 = 6:00!
A student's backpack weighs 4 kg 300 g. What is that in grams? โ 4,300 g.4 kg = 4,000 g, plus 300 g = 4,300 g total!
Two containers hold 1 L 250 mL and 750 mL. How much liquid in all? โ 2,000 mL.1 L 250 mL = 1,250 mL. 1,250 + 750 = 2,000 mL = 2 L!
Which is heavier: 2,500 g or 2 kg? โ 2,500 g.2 kg = 2,000 g. 2,500 g > 2,000 g, so 2,500 g is heavier!
Which is more: 1,200 mL or 1 L? โ 1,200 mL.1 L = 1,000 mL. 1,200 mL > 1,000 mL, so 1,200 mL is more!
A recipe needs 2 kg of flour. You have 1,400 g. How many more grams do you need? โ 600 g.2 kg = 2,000 g. 2,000 โ 1,400 = 600 g more needed!
A carton holds 1 L of juice. Three students each drink 250 mL. How much juice is left? โ 250 mL.3 ร 250 = 750 mL drunk. 1,000 โ 750 = 250 mL remaining!
Two rectangles both have area 12 cmยฒ. Rectangle A is 4ร3. Rectangle B is 6ร2. Do they have the same perimeter? โ No โ A has 14 cm, B has 16 cm.A: P=4+3+4+3=14 cm. B: P=6+2+6+2=16 cm. Same area, different perimeter!
An L-shaped figure has area 14 sq units (a 4ร2 rectangle joined to a 2ร3). What is 4ร2 + 2ร3? โ 14.4ร2 = 8; 2ร3 = 6; 8+6 = 14 sq units!
A tile is 2 cm ร 2 cm. How many tiles are needed to cover a 10 cm ร 8 cm floor? โ 40.Each tile = 4 cmยฒ. Floor area = 10ร8 = 80 cmยฒ. 80 รท 4 = 20 tiles. Wait: recalculate. 10/2 = 5 tiles along length, 8/2 = 4 along width. 5ร4 = 20 tiles!
A rectangle with length 10 m and width 4 m. Which is larger โ its area or perimeter? โ Cannot compare different units.P=28 m and A=40 mยฒ, but they use DIFFERENT units so you cannot compare them directly!
A square has area 49 cmยฒ. What is its side length? โ 7 cm.7 ร 7 = 49. The side length is 7 cm!
A rectangle has the same perimeter as a square with side 5 cm. Its length is 8 cm. What is its width? โ 2 cm.Square P = 20 cm. Rectangle: 20 = 2(8+w) โ 10 = 8+w โ w = 2 cm!
A picture graph: Monday=๐๐๐, Tuesday=๐๐, Wednesday=๐๐๐๐, Thursday=๐, where ๐=3 students. How many students total? โ 30.(3+2+4+1) = 10 symbols ร 3 students each = 30 students.
A bar graph shows test scores for 4 classes: A=85, B=92, C=78, D=88. If each class has 25 students, and scores represent the CLASS AVERAGE, which class performed worst? โ Class C.Class C had the lowest average score of 78.
In a line plot, removing one data point changes the range from 6 to 4. Which type of data point was removed? โ An extreme (maximum or minimum) value.Range = max โ min. Removing an extreme (highest or lowest) value reduces the range. Removing a middle value doesn't change the range.
A bar graph has a broken axis (starting at 50 instead of 0). A bar looks twice as tall as another. Does that mean it represents twice the value? โ No, because the axis doesn't start at 0, the visual difference is misleading.When the axis doesn't start at 0, visual comparisons are misleading. You must read the actual values โ a bar that looks twice as tall may represent only a small numeric difference.
Students in 3 grades collected cans: Grade 1=45, Grade 2=60, Grade 3=75. On a bar graph with scale every 15 units, at what grid line does Grade 2's bar reach? โ 4th grid line.60 รท 15 = 4. Grade 2's bar reaches the 4th grid line.
A survey asks 40 students their favorite color. Results: Blue=16, Red=10, Green=8, Yellow=6. If you add all bar values on the graph, you should get: โ 40.16 + 10 + 8 + 6 = 40, which equals the total number of students surveyed.
Two classes recorded plant growth (cm) on a line plot. Class A data: 3,4,4,5,6. Class B data: 2,4,5,5,6. Both have the same range (4). Which class has the higher mode? โ Class B (mode = 5).Mode = most frequent value. Class A: 4 appears twice (mode=4). Class B: 5 appears twice (mode=5). Since 5 > 4, Class B has the higher mode.
A picture graph shows each symbol = 10. You need to show 35 items. How would you represent this? โ 3 full symbols and 1 half symbol.3 ร 10 = 30, and ยฝ symbol = 5, so 3ยฝ symbols = 35. You use 3 full symbols and 1 half symbol.
A bar graph compares monthly sales. January = 240, February = 180, March = 300. The scale goes up by 60s. What is the difference in scale divisions between January and February? โ 1 division.240 โ 180 = 60. Since each division = 60, the difference is exactly 1 division on the scale.