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Step-by-step practice: Maths · Level 5Chapter 9 · Perimeter of rectilinear shapes, time and money problems
Step-by-step Maths Level 5 · Perimeter of rectilinear shapes, time and money problems · Lesson 9.2

Step-by-step Maths Level 5: Hours, minutes and seconds

Part of the Step-by-step Maths Level 5 perimeter of rectilinear shapes, time and money problems chapter. Chapter overview · whole chapter on one page

9.2

Hours, minutes and seconds

Level 5
Convert hours to minutes, and minutes to hours and minutes, Convert minutes to seconds, and seconds to minutes

There are 60 minutes in 1 hour and 60 seconds in 1 minute. To change hours to minutes, multiply by 60.

To change minutes into hours and minutes, divide by 60. The remainder is the minutes left over: 95 minutes = 1 h 35 min.

Key ideas

  • 1 hour = 60 minutes; 1 minute = 60 seconds.
  • Hours to minutes: multiply by 60.
  • Minutes to hours: divide by 60; the remainder is minutes.
Worked example 9.2.1
Change 3 hours to minutes.

Method. Multiply the hours by 60 to change them into minutes.

  1. Use the rule. There are 60 minutes in 1 hour.
    1 h = 60 min
  2. Multiply the hours by 60. Each hour has 60 minutes.
    3 × 60 = 180
  3. Write the answer. The unit is minutes.
    180 minutes

Check. Check: 180 ÷ 60 = 3.

Watch out. Going from hours to minutes gives a bigger number. Multiply by 60.

Worked example 9.2.2
Change 95 minutes to hours and minutes.

Method. Divide by 60 to find the hours; the remainder is the minutes.

  1. Share the minutes into groups of 60. Each group of 60 minutes is one hour.
    95 ÷ 60 = 1 r 35
  2. Write the hours and the minutes left. The remainder is the minutes that are left over.
    1 h and 35 min
  3. Write the answer. Use the units hours and minutes.
    1 h 35 min

Check. Check: 1 × 60 + 35 = 95.

Watch out. Do not write 1 h 95 min. The minutes must be less than 60.

Worked example 9.2.3
Change 190 seconds to minutes and seconds.

Method. Divide by 60 to find the minutes; the remainder is the seconds.

  1. Share the seconds into groups of 60. Each group of 60 seconds is one minute.
    190 ÷ 60 = 3 r 10
  2. Write the minutes and the seconds left. The remainder is the seconds.
    3 min and 10 s
  3. Write the answer. Use the units minutes and seconds.
    3 min 10 s

Check. Check: 3 × 60 + 10 = 190.

Watch out. The seconds must be less than 60.

Watch out

Watch out. 95 minutes is 1 h 35 min, not 1 h 95 min. The minutes must be less than 60.

Exam tip

Grown-up tip. Use a clock face: ask how many minutes go round the clock in one hour.

Exercise 9B  Practice: hours, minutes and seconds

Non-calculator
1
FChange 6 minutes to seconds.
2
FChange 571 seconds to minutes and seconds.
3
FChange 7 hours to minutes.
4
FChange 537 seconds to minutes and seconds.
5
FChange 254 seconds to minutes and seconds.
6
FChange 4 hours to minutes.
7
FChange 236 minutes to hours and minutes.
8
FChange 312 seconds to minutes and seconds.
9
FChange 2 hours to minutes.
10
FChange 9 minutes to seconds.
11
FChange 484 seconds to minutes and seconds.
12
FChange 238 minutes to hours and minutes.
13
FChange 127 minutes to hours and minutes.
14
FChange 242 minutes to hours and minutes.
15
FChange 9 hours to minutes.
16
FChange 189 minutes to hours and minutes.

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