\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)

Time

Units of Time

Choosing the Right Units of Time

Mcq
Which unit would you use to measure the time it takes to run 100 meters?
Check one answer:








  • Running 100 meters is a very quick event.
  • We need a small unit of time to measure it.
  • The best unit is seconds. Yay!
  • Answer: seconds.

Mcq
Which unit would you use to measure the time it takes to clean up your bedroom?
Check one answer:








  • Cleaning up a bedroom takes a short time, like 10 to 30 minutes.
  • We need a unit that’s not too small or too big to measure it.
  • The best unit is minutes.
  • Answer: minutes.

Mcq
Which unit would you use to measure your age?
Check one answer:








  • Your age is how many years you’ve lived, like 8 or 9 years.
  • We need a unit that measures a long time for people.
  • The best unit is years.
  • Answer: years.

Mcq
Which unit would you use to measure the time it takes to watch a movie?
Check one answer:





  • Watching a movie takes a medium amount of time, like 1 to 2 hours.
  • We need a unit that’s not too small or too big to measure it.
  • The best unit is hours.
  • Answer: hours.

Mcq
Which unit would you use to measure the time it takes to go on a family camping trip?
Check one answer:





  • A family camping trip usually takes a few days, like 3 to 5 days.
  • We need a unit that measures a few days, not too short or too long.
  • The best unit is days.
  • Answer: days.

Converting Units of Time

Converting Units of Time From Bigger to Smaller

Exercise

Convert 2 hours to minutes:
2 h = min

$$\begin{aligned}2 \, \text{h} &= 2\times 60 \, \text{min} \\&= 120 \, \text{min}\end{aligned}$$

Exercise

Convert 3 days to hours:
3 d = h

$$\begin{aligned}3 \, \text{d} &= 3 \times 24 \, \text{h} \\&= 72 \, \text{h}\end{aligned}$$

Exercise

Convert 5 minutes to seconds:
5 min = s

$$\begin{aligned}5 \, \text{min} &= 5 \times 60 \, \text{s} \\&= 300 \, \text{s}\end{aligned}$$

Exercise

Convert 2 weeks to days:
2 wk = d

$$\begin{aligned}2 \, \text{wk} &= 2 \times 7 \, \text{d} \\&= 14 \, \text{d}\end{aligned}$$

Converting Units of Time From Smaller to Bigger

Exercise

Convert 120 seconds to minutes:
120 s = min

$$\begin{aligned}120 \, \text{s} &= 120 \div 60 \, \text{min} \\&= 2 \, \text{min}\end{aligned}$$

Exercise

Convert 24 hours to days:
24 h = d

$$\begin{aligned}24 \, \text{h} &= 24 \div 24 \, \text{d} \\&= 1 \, \text{d}\end{aligned}$$

Exercise

Convert 180 minutes to hours:
180 min = h

$$\begin{aligned}180 \, \text{min} &= 180 \div 60 \, \text{h} \\&= 3 \, \text{h}\end{aligned}$$

Exercise

Convert 14 days to weeks:
14 d = wk

$$\begin{aligned}14 \, \text{d} &= 14 \div 7 \, \text{wk} \\&= 2 \, \text{wk}\end{aligned}$$

Dividing Time

Exercise
If you divide an hour into two equal parts, how many minutes are in half an hour?
Half an hour = minutes

  • An hour has 60 minutes.
  • We divide it into two equal periods.
  • Splitting 60 by 2 gives: 60 \(\div\) 2 = 30.
  • One half hour is 30 minutes.

Exercise
If you divide an hour into four equal parts, how many minutes are in one quarter of an hour?
One quarter of an hour = minutes

  • An hour has 60 minutes.
  • We divide it into four equal periods.
  • Splitting 60 by 4 gives: 60 \(\div\) 4 = 15.
  • One quarter hour is 15 minutes.

Exercise
If you divide a day into two equal parts, how many hours are in half a day?
Half a day = hours

  • A day has 24 hours.
  • We divide it into two equal periods.
  • Splitting 24 by 2 gives: 24 \(\div\) 2 = 12.
  • Half of a day is 12 hours.

Converting 1 Unit into 2 Units

Converting 2 Units into 1 Unit

Exercise
A movie lasts 1 hour 45 minutes. How many minutes is that?
1 h 45 min = min

  • One hour is 60 minutes. Add the extra 45 minutes to find the total.
  • Calculate: $$ \begin{aligned} 1 \, \text{h} \, 45 \, \text{min} &= 1 \times 60 \, \text{min} + 45 \, \text{min} \\ &= 60 \, \text{min} + 45 \, \text{min} \\ &= 105 \, \text{min} \end{aligned} $$

Exercise
You hold your breath for 2 minutes 20 seconds. How many seconds is that?
2 min 20 s = s

  • 2 minutes is 120 seconds. Add the extra 20 seconds to find the total.
  • Calculate: $$ \begin{aligned} 2 \, \text{min} \, 20 \, \text{s} &= 2 \times 60 \, \text{s} + 20 \, \text{s} \\ &= 120 \, \text{s} + 20 \, \text{s} \\ &= 140 \, \text{s} \end{aligned} $$

Exercise
Your soccer practice lasts 1 hour 30 minutes. How many minutes is that?
1 h 30 min = min

  • One hour is 60 minutes. Add the extra 30 minutes to find the total.
  • Calculate: $$ \begin{aligned} 1 \, \text{h} \, 30 \, \text{min} &= 1 \times 60 \, \text{min} + 30 \, \text{min} \\ &= 60 \, \text{min} + 30 \, \text{min} \\ &= 90 \, \text{min} \end{aligned} $$

Exercise
A trail running race lasts 1 day 5 hours. How many hours is that?
1 d 5 h = h

  • One day is 24 hours. Add the extra 5 hours to find the total.
  • Calculate: $$ \begin{aligned} 1 \, \text{d} \, 5 \, \text{h} &= 1 \times 24 \, \text{h} + 5 \, \text{h} \\ &= 24 \, \text{h} + 5 \, \text{h} \\ &= 29 \, \text{h} \end{aligned} $$

Converting 1 Unit into 2 Units

Exercise
You read a book for 100 minutes. How many hours and minutes is that?
100 min = h + min

  • One hour is 60 minutes. Divide 100 by 60 to find how many hours, and the rest is minutes.
  • Divide:
  • You get 1 hour, with 40 minutes left over, so: $$ \begin{aligned}[t] 100 \, \text{min} &= (1 \times 60 \, \text{min}) + 40 \, \text{min} \\ &= 1 \, \text{h} + 40 \, \text{min} \end{aligned} $$

Exercise
You run a race for 140 seconds. How many minutes and seconds is that?
140 s = min + s

  • One minute is 60 seconds. Divide 140 by 60 to find how many minutes, and the rest is seconds.
  • Divide:
  • You get 2 minutes, with 20 seconds left over, so: $$ \begin{aligned}[t] 140 \, \text{s} &= (2 \times 60 \, \text{s}) + 20 \, \text{s} \\ &= 2 \, \text{min} + 20 \, \text{s} \end{aligned} $$

Exercise
You study for 150 minutes. How many hours and minutes is that?
150 min = h + min

  • One hour is 60 minutes. Divide 150 by 60 to find how many hours, and the rest is minutes.
  • Divide:
  • You get 2 hours, with 30 minutes left over, so: $$ \begin{aligned}[t] 150 \, \text{min} &= (2 \times 60 \, \text{min}) + 30 \, \text{min} \\ &= 2 \, \text{h} + 30 \, \text{min} \end{aligned} $$

Exercise
You swim for 200 seconds. How many minutes and seconds is that?
200 s = min + s

  • One minute is 60 seconds. Divide 200 by 60 to find how many minutes, and the rest is seconds.
  • Divide:
  • You get 3 minutes, with 20 seconds left over, so: $$ \begin{aligned}[t] 200 \, \text{s} &= (3 \times 60 \, \text{s}) + 20 \, \text{s} \\ &= 3 \, \text{min} + 20 \, \text{s} \end{aligned} $$

24-Hour Time Format

Telling Time the 24-Hour Way

Exercise
Your favorite show starts at 6:15 PM. What time is it in 24-hour time?
:

  • Look at PM. Add 12 to the hours: 6 + 12 = 18.
  • Keep the minutes: 15 minutes.
  • Write the time: 18:15.

Exercise
You wake up at 7:45 AM for school. What time is it in 24-hour time?
:

  • Look at AM. The hours stay the same: 7 hours.
  • Keep the minutes: 45 minutes.
  • Write the time: 07:45.

Exercise
Your soccer game starts at 4:30 PM. What time is it in 24-hour time?
:

  • Look at PM. Add 12 to the hours: 4 + 12 = 16.
  • Keep the minutes: 30 minutes.
  • Write the time: 16:30.

Exercise
You eat dinner at 7:00 PM. What time is it in 24-hour time?
:

  • Look at PM. Add 12 to the hours: 7 + 12 = 19.
  • Keep the minutes: 0 minutes.
  • Write the time: 19:00.

Finding Everyday Time from 24-Hour Clocks

Exercise
You have breakfast at 07:30. What time is it?
:

  • Look at 07:30. It’s less than 12:00, so the hours stay 7.
  • Keep the minutes: 30 minutes.
  • Times before noon are AM.
  • Write the time: 7:30 AM.

Exercise
Your art class starts at 14:45. What time is it?
:

  • Look at 14:45. It’s more than 12:00, so subtract 12 from the hours: 14 - 12 = 2.
  • Keep the minutes: 45 minutes.
  • Times after 12:00 are PM.
  • Write the time: 2:45 PM.

Exercise
You go to bed at 20:00. What time is it?
:

  • Look at 20:00. It’s more than 12:00, so subtract 12 from the hours: 20 - 12 = 8.
  • Keep the minutes: 0 minutes.
  • Times after 12:00 are PM.
  • Write the time: 8:00 PM.

Exercise
Your music lesson starts at 15:20. What time is it?
:

  • Look at 15:20. It’s more than 12:00, so subtract 12 from the hours: 15 - 12 = 3.
  • Keep the minutes: 20 minutes.
  • Times after 12:00 are PM.
  • Write the time: 3:20 PM.

Reading Clock Times

Reading Clocks

Exercise
You leave for school at the time shown on this clock. What time is it?

morning
:

  • The little hand is past the 7 but not yet at the 8, so the hour is 7.
  • The big hand is between the 3 and 4. The 3 means \(3\times 5=15\) minutes. Count 2 more marks after the 3: each mark is 1 minute, so 2 marks add 2 minutes.
  • Add: 15 minutes + 2 minutes = 17 minutes.
  • It’s morning, so the time is 7:17 AM.

Exercise
Your soccer practice starts at the time shown on this clock. What time is it?

afternoon
:

  • The little hand is past the 4 but not yet at the 5, so the hour is 4.
  • The big hand is between the 7 and 8. The 7 means \(7 \times 5 = 35\) minutes. Count 2 more marks after the 7: each mark is 1 minute, so 2 marks add 2 minutes.
  • Add: 35 minutes + 2 minutes = 37 minutes.
  • It’s afternoon, so the time is 4:37 PM.

Exercise
You eat breakfast at the time shown on this clock. What time is it?

morning
:

  • The little hand is past the 8 but not yet at the 9, so the hour is 8.
  • The big hand is between the 4 and 5. The 4 means \(4 \times 5 = 20\) minutes. Count 3 more marks after the 4: each mark is 1 minute, so 3 marks add 3 minutes.
  • Add: 20 minutes + 3 minutes = 23 minutes.
  • It’s morning, so the time is 8:23 AM.

Exercise
You watch a movie at the time shown on this clock. What time is it?

evening
:

  • The little hand is past the 6 but not yet at the 7, so the hour is 6.
  • The big hand is between the 2 and 3. The 2 means \(2 \times 5 = 10\) minutes. Count 4 more marks after the 2: each mark is 1 minute, so 4 marks add 4 minutes.
  • Add: 10 minutes + 4 minutes = 14 minutes.
  • It’s evening, so the time is 6:14 PM.

Reading Clocks for 24-Hour Time

Exercise
You leave for school at the time shown on this clock. What time is it in 24-hour format?

morning
:

  • The little hand is past the 7 but not yet at the 8, so the hour is 7.
  • The big hand is between the 3 and 4. The 3 means \(3 \times 5 = 15\) minutes. Count 2 more marks after the 3: each mark is 1 minute, so 2 marks add 2 minutes.
  • Add: 15 minutes + 2 minutes = 17 minutes.
  • It’s morning, so the hours stay the same. Add a zero before 7 for 24-hour time. The time is 07:17.

Exercise
Your soccer practice starts at the time shown on this clock. What time is it in 24-hour format?

afternoon
:

  • The little hand is past the 4 but not yet at the 5, so the hour is 4.
  • The big hand is between the 7 and 8. The 7 means \(7 \times 5 = 35\) minutes. Count 2 more marks after the 7: each mark is 1 minute, so 2 marks add 2 minutes.
  • Add: 35 minutes + 2 minutes = 37 minutes.
  • It’s afternoon, so add 12 to the hours: \(4 + 12 = 16\). The time is 16:37.

Exercise
You eat breakfast at the time shown on this clock. What time is it in 24-hour format?

morning
:

  • The little hand is past the 8 but not yet at the 9, so the hour is 8.
  • The big hand is between the 4 and 5. The 4 means \(4 \times 5 = 20\) minutes. Count 3 more marks after the 4: each mark is 1 minute, so 3 marks add 3 minutes.
  • Add: 20 minutes + 3 minutes = 23 minutes.
  • It’s morning, so the hours stay the same. Add a zero before 8 for 24-hour time. The time is 08:23.

Exercise
You watch a movie at the time shown on this clock. What time is it in 24-hour format?

evening
:

  • The little hand is past the 6 but not yet at the 7, so the hour is 6.
  • The big hand is between the 2 and 3. The 2 means \(2 \times 5 = 10\) minutes. Count 4 more marks after the 2: each mark is 1 minute, so 4 marks add 4 minutes.
  • Add: 10 minutes + 4 minutes = 14 minutes.
  • It’s evening, so add 12 to the hours: \(6 + 12 = 18\). The time is 18:14.

Add and Subtract Time

Adding Time

Exercise
You watch a movie for 1 hour 20 minutes and do homework for 1 hour 15 minutes. How long is that altogether?
h min

  • Add the minutes: 20 minutes + 15 minutes = 35 minutes.
  • Since 35 minutes is less than 60, no extra hour is needed.
  • Add the hours: 1 hour + 1 hour = 2 hours.
  • So, you spent 2 hours and 35 minutes altogether.
  • $$ \begin{aligned}[t] 1 \, \text{h} \, 20 \, \text{min} + 1 \, \text{h} \, 15 \, \text{min} &= (1 \, \text{h} + 1 \, \text{h}) + (20 \, \text{min} + 15 \, \text{min}) \\ &= 2 \, \text{h} + 35 \, \text{min} \\ &= 2 \, \text{h} \, 35 \, \text{min} \end{aligned} $$

Exercise
You ride your bike for 1 hour 25 minutes and play soccer for 1 hour 30 minutes. How long is that altogether?
h min

  • Add the minutes: 25 minutes + 30 minutes = 55 minutes.
  • Since 55 minutes is less than 60, no extra hour is needed.
  • Add the hours: 1 hour + 1 hour = 2 hours.
  • So, you spent 2 hours and 55 minutes altogether.
  • $$ \begin{aligned}[t] 1 \, \text{h} \, 25 \, \text{min} + 1 \, \text{h} \, 30 \, \text{min} &= (1 \, \text{h} + 1 \, \text{h}) + (25 \, \text{min} + 30 \, \text{min}) \\ &= 2 \, \text{h} + 55 \, \text{min} \\ &= 2 \, \text{h} \, 55 \, \text{min} \end{aligned} $$

Exercise
You spend 1 hour 15 minutes on Math homework and 55 minutes on Science homework. How long is that altogether?
h min

  • Add the minutes: 15 minutes + 55 minutes = 70 minutes.
  • Too many minutes! 70 minutes is more than 60, so take 60 minutes (1 hour) and keep 10 minutes: 70 min = 1 h 10 min.
  • Add the hours: 1 hour + 0 hours + 1 hour (extra hour) = 2 hours.
  • So, you spent 2 hours and 10 minutes altogether.
  • $$ \begin{aligned}[t] 1 \, \text{h} \, 15 \, \text{min} + 55 \, \text{min} &= 1 \, \text{h} + (15 \, \text{min} + 55 \, \text{min}) \\ &= 1 \, \text{h} + 70 \, \text{min} \\ &= 1 \, \text{h} + (1 \, \text{h} + 10 \, \text{min}) \\ &= 2 \, \text{h} \, 10 \, \text{min} \end{aligned} $$

Exercise
You play a game for 2 hours 30 minutes and read a book for 1 hour 45 minutes. How long is that altogether?
h min

  • Add the minutes: 30 minutes + 45 minutes = 75 minutes.
  • Too many minutes! 75 minutes is more than 60, so take 60 minutes (1 hour) and keep 15 minutes: 75 min = 1 h 15 min.
  • Add the hours: 2 hours + 1 hour + 1 hour (extra hour) = 4 hours.
  • So, you spent 4 hours and 15 minutes altogether.
  • $$ \begin{aligned}[t] 2 \, \text{h} \, 30 \, \text{min} + 1 \, \text{h} \, 45 \, \text{min} &= (2 \, \text{h} + 1 \, \text{h}) + (30 \, \text{min} + 45 \, \text{min}) \\ &= (2 \, \text{h} + 1 \, \text{h}) + 75 \, \text{min} \\ &= (2 \, \text{h} + 1 \, \text{h}) + (1 \, \text{h} + 15 \, \text{min}) \\ &= 4 \, \text{h} \, 15 \, \text{min} \end{aligned} $$

Subtracting Time

Exercise
You have 3 hours 40 minutes to finish your chores. You spend 1 hour 25 minutes cleaning your room. How much time is left?
h min

  • Subtract the minutes: 40 minutes - 25 minutes = 15 minutes.
  • Enough minutes, so no borrowing is needed.
  • Subtract the hours: 3 hours - 1 hour = 2 hours.
  • So, you have 2 hours and 15 minutes left.
  • $$ \begin{aligned}[t] 3 \, \text{h} \, 40 \, \text{min} - 1 \, \text{h} \, 25 \, \text{min} &= (3 \, \text{h} - 1 \, \text{h}) + (40 \, \text{min} - 25 \, \text{min}) \\ &= 2 \, \text{h} + 15 \, \text{min} \\ &= 2 \, \text{h} \, 15 \, \text{min} \end{aligned} $$

Exercise
You have 2 hours 35 minutes before dinner. You spend 1 hour 20 minutes practicing piano. How much time is left?
h min

  • Subtract the minutes: 35 minutes - 20 minutes = 15 minutes.
  • Enough minutes, so no borrowing is needed.
  • Subtract the hours: 2 hours - 1 hour = 1 hour.
  • So, you have 1 hour and 15 minutes left.
  • $$ \begin{aligned}[t] 2 \, \text{h} \, 35 \, \text{min} - 1 \, \text{h} \, 20 \, \text{min} &= (2 \, \text{h} - 1 \, \text{h}) + (35 \, \text{min} - 20 \, \text{min}) \\ &= 1 \, \text{h} + 15 \, \text{min} \\ &= 1 \, \text{h} \, 15 \, \text{min} \end{aligned} $$

Exercise
You have 4 hours 10 minutes to complete your tasks. You spend 2 hours 45 minutes organizing your books. How much time is left?
h min

  • Subtract the minutes: 10 minutes - 45 minutes. Not enough minutes! Borrow 1 hour (60 minutes) from the 4 hours, leaving 3 hours. Add 60 minutes to 10 minutes: 10 + 60 = 70 minutes.
  • Now subtract: 70 minutes - 45 minutes = 25 minutes.
  • Subtract the hours: 3 hours - 2 hours = 1 hour.
  • So, you have 1 hour and 25 minutes left.
  • $$ \begin{aligned}[t] 4 \, \text{h} \, 10 \, \text{min} - 2 \, \text{h} \, 45 \, \text{min} &= 3 \, \text{h} \, 70 \, \text{min} - 2 \, \text{h} \, 45 \, \text{min} \\ &= (3 \, \text{h} - 2 \, \text{h}) + (70 \, \text{min} - 45 \, \text{min}) \\ &= 1 \, \text{h} \, 25 \, \text{min} \end{aligned} $$

Exercise
You have 3 hours 15 minutes to work on a project. You spend 1 hour 40 minutes writing a story. How much time is left?
h min

  • Subtract the minutes: 15 minutes - 40 minutes. Not enough minutes! Borrow 1 hour (60 minutes) from the 3 hours, leaving 2 hours. Add 60 minutes to 15 minutes: 15 + 60 = 75 minutes.
  • Now subtract: 75 minutes - 40 minutes = 35 minutes.
  • Subtract the hours: 2 hours - 1 hour = 1 hour.
  • So, you have 1 hour and 35 minutes left.
  • $$ \begin{aligned}[t] 3 \, \text{h} \, 15 \, \text{min} - 1 \, \text{h} \, 40 \, \text{min} &= 2 \, \text{h} \, 75 \, \text{min} - 1 \, \text{h} \, 40 \, \text{min} \\ &= (2 \, \text{h} - 1 \, \text{h}) + (75 \, \text{min} - 40 \, \text{min}) \\ &= 1 \, \text{h} \, 35 \, \text{min} \end{aligned} $$

Exercise
You have 4 hours 15 minutes of free time. You play a game for 1 hour 45 minutes. How much time is left?
h min

  • Subtract the minutes: 15 minutes - 45 minutes. Not enough minutes! Borrow 1 hour (60 minutes) from the 4 hours, leaving 3 hours. Add 60 minutes to 15 minutes: 15 + 60 = 75 minutes.
  • Now subtract: 75 minutes - 45 minutes = 30 minutes.
  • Subtract the hours: 3 hours - 1 hour = 2 hours.
  • So, you have 2 hours and 30 minutes left.
  • $$ \begin{aligned}[t] 4 \, \text{h} \, 15 \, \text{min} - 1 \, \text{h} \, 45 \, \text{min} &= 3 \, \text{h} 75 \, \text{min} - 1 \, \text{h}\,20 \, \text{min} \\ &= (3 \, \text{h} - 1 \, \text{h}) + (75 \, \text{min} - 45 \, \text{min}) \\ &= 2 \, \text{h} \, 30 \, \text{min} \\ \end{aligned} $$

Time Problems

Figuring Out Time

Exercise
You work 2 hours 30 minutes on Saturday and 1 hour 20 minutes on Sunday. How much time do you work altogether?
h min

  • Add the minutes: 30 minutes + 20 minutes = 50 minutes.
  • Add the hours: 2 hours + 1 hour = 3 hours.
  • So, you work 3 hours and 50 minutes altogether.
  • $$ \begin{aligned}[t] 2 \, \text{h} \, 30 \, \text{min} + 1 \, \text{h} \, 20 \, \text{min} &= (2 \, \text{h} + 1 \, \text{h}) + (30 \, \text{min} + 20 \, \text{min}) \\ &= 3 \, \text{h} + 50 \, \text{min} \\ &= 3 \, \text{h} \, 50 \, \text{min} \end{aligned} $$

Exercise
A train starts at 8:20 AM and arrives at 1:30 PM. How long is the train journey?
h min

  • Subtract the minutes: 30 minutes - 20 minutes = 10 minutes.
  • Subtract the hours: 13 hours - 8 hours = 5 hours.
  • So, the train journey takes 5 hours and 10 minutes.
  • $$ \begin{aligned}[t] 13 \, \text{h} \, 30 \, \text{min} - 8 \, \text{h} \, 20 \, \text{min} &= (13 \, \text{h} - 8 \, \text{h}) + (30 \, \text{min} - 20 \, \text{min}) \\ &= 5 \, \text{h} + 10 \, \text{min} \\ &= 5 \, \text{h} \, 10 \, \text{min} \end{aligned} $$

Exercise
Liam has to wrap 12 gift boxes for a charity event. It takes him 3 minutes to wrap each box. How long will it take to wrap all the gift boxes?
min

  • Find the total time: 12 gift boxes, and each takes 3 minutes.
  • Multiply: \(12 \times 3 = 36\) minutes.
  • So, Liam will need 36 minutes to wrap all the gift boxes.
  • $$ \begin{aligned}[t] 12 \times 3 \, \text{min} &= 36 \, \text{min} \end{aligned} $$

Exercise
A teacher has 36 minutes to grade tests. Each test takes 3 minutes to grade. How many tests can the teacher grade?
tests

  • Find the number of tests: 36 minutes, and each test takes 3 minutes.
  • Divide: 36 minutes ÷ 3 minutes per test = 12 tests.
  • So, the teacher can grade 12 tests.
  • $$ \begin{aligned}[t] 36 \, \text{min} \div 3 \, \text{min per test} &= 12 \end{aligned} $$

Exercise
You spend 1 hour 40 minutes mixing cookie dough and 1 hour 25 minutes decorating the cookies. How long do you spend baking altogether?
h min

  • Add the minutes: 40 minutes + 25 minutes = 65 minutes.
  • Too many minutes! 65 minutes is more than 60, so take 60 minutes (1 hour) and keep 5 minutes: 65 min = 1 h 5 min.
  • Add the hours: 1 hour + 1 hour + 1 hour (extra hour) = 3 hours.
  • So, you spend 3 hours and 5 minutes baking altogether.
  • $$ \begin{aligned}[t] 1 \, \text{h} \, 40 \, \text{min} + 1 \, \text{h} \, 25 \, \text{min} &= (1 \, \text{h} + 1 \, \text{h}) + (40 \, \text{min} + 25 \, \text{min}) \\ &= (1 \, \text{h} + 1 \, \text{h}) + 65 \, \text{min} \\ &= (1 \, \text{h} + 1 \, \text{h}) + (1 \, \text{h} + 5 \, \text{min}) \\ &= 3 \, \text{h} \, 5 \, \text{min} \end{aligned} $$

Exercise
Sofia needs to bake 15 cupcakes for a school event. Each cupcake takes 5 minutes to prepare. How long will it take to bake all the cupcakes?
h min

  • Find the total time: 15 cupcakes, and each takes 5 minutes.
  • Multiply: \(15 \times 5 = 75\) minutes.
  • Convert: 75 minutes = 60 minutes + 15 minutes = 1 h 15 min.
  • So, Sofia will need 1 hour and 15 minutes to bake all the cupcakes.
  • $$ \begin{aligned}[t] 15 \times 5 \, \text{min} &= 75 \, \text{min} \\ &= 60 \, \text{min} + 15 \, \text{min} \\ &= 1 \, \text{h} \, 15 \, \text{min} \end{aligned} $$

Exercise
To plant the vegetables, it takes me 20 hours, and I work over 4 days. How many hours do I work per day?
hours per day

  • Find the hours per day: 20 hours total, spread over 4 days.
  • Divide: 20 hours ÷ 4 days = 5 hours per day.
  • So, I work 5 hours per day.
  • $$ \begin{aligned}[t] 20 \, \text{hours} \div 4 \, \text{days} &= 5 \, \text{hours per day} \end{aligned} $$

Exercise
In a library, I begin to work at 8:30 AM, and I finish at 10:20 AM. How much time do I work?
h min

  • Subtract the minutes: 20 minutes - 30 minutes. Not enough minutes! Borrow 1 hour (60 minutes) from the 10 hours, leaving 9 hours. Add 60 minutes to 20 minutes: 20 + 60 = 80 minutes.
  • Now subtract: 80 minutes - 30 minutes = 50 minutes.
  • Subtract the hours: 9 hours - 8 hours = 1 hour.
  • So, I work for 1 hour and 50 minutes.
  • $$ \begin{aligned}[t] 10 \, \text{h} \, 20 \, \text{min} - 8 \, \text{h} \, 30 \, \text{min} &= 9 \, \text{h} \, 80 \, \text{min} - 8 \, \text{h} \, 30 \, \text{min} \\ &= (9 \, \text{h} - 8 \, \text{h}) + (80 \, \text{min} - 30 \, \text{min}) \\ &= 1 \, \text{h} \, 50 \, \text{min} \end{aligned} $$

Timelines

Reading Dates on a Timeline

Exercise
This timeline shows monarchs of France in the 17th century:
When did Louis XIII begin his reign?
In the year

  • Look at the timeline: Louis XIII’s name points to 1610.
  • This marks the start of his reign.
  • Final answer: 1610.

Exercise
This timeline shows major scientific discoveries in the 20th century:
When was penicillin discovered?
In the year

  • Look at the timeline: “Discovery of penicillin” points to 1928.
  • This is the year it happened.
  • Final answer: 1928.

Exercise
This timeline shows key computing advancements in the 20th century:
When was the transistor invented?
In the year

  • Look at the timeline: “Invention of the transistor” points to 1947.
  • This is the year it was invented.
  • Final answer: 1947.

Mcq
This timeline shows key dates in Roman history:
When was Julius Caesar born?Choose one answer:





  • Look at the timeline: “Julius Caesar born” points to 100 BC.
  • This is his birth year.
  • Final answer: 100 BC.

Mcq
This timeline shows key events in ancient Greek history:
When was Alexander the Great born?
Choose one answer:





  • Look at the timeline: “Alexander the Great born” points to 356 BC.
  • This is his birth year.
  • Final answer: 356 BC.