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Mathematics questions, unit 4

Time

45 marks. Use Practice to check each answer as you go, or Exam to answer everything first.

Section A: objective questions

8 marks
Choose the correct answer.
1

Question 1

The train leaves at 6:05 in the evening. State the time in the 24-hour system.
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B
6:05 p.m.: add 12 to the hour, 6 + 12 = 18. So 1805 hours.
For the teacher: Remembering, low difficulty, standard 4.1.1
Textbook p. 139
2

Question 2

State 0040 hours in the 12-hour system.
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A
Hour 00 is 12 at night, so 0040 hours is 12:40 a.m.
For the teacher: Remembering, low difficulty, standard 4.1.1
Textbook p. 140
3

Question 3

Convert 2:48 p.m. to the 24-hour system.
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C
2 + 12 = 14, so 2:48 p.m. = 1448 hours.
For the teacher: Understanding, low difficulty, standard 4.1.1
Textbook p. 142
4

Question 4

Diagram 1 shows the time in the evening. Which is the time in the 24-hour system?
Analog clock showing 7:35
Diagram 1
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D
The clock shows 7:35. In the evening this is 7:35 p.m. = 19:35, which is 1935 hours.
For the teacher: Understanding, low difficulty, standard 4.1.1
Textbook p. 141
5

Question 5

Aini started her work at 0920 hours and finished at 1850 hours. What was the duration of her work?
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A
18 h 50 min − 9 h 20 min = 9 h 30 min.
For the teacher: Applying, low difficulty, standard 4.2.1
Textbook p. 144
6

Question 6

4 weeks 3 days = ______ days
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B
4 × 7 = 28, and 28 + 3 = 31 days.
For the teacher: Applying, low difficulty, standard 4.4.2
Textbook p. 148
7

Question 7

Fatimah is 3 years 7 months old. What is her age in months?
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C
3 × 12 = 36, and 36 + 7 = 43 months.
For the teacher: Applying, low difficulty, standard 4.4.2
Textbook p. 149
8

Question 8

Each school assembly rehearsal takes 2 hours 30 minutes. What is the total time for 5 rehearsals?
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D
5 × 2 hours = 10 hours and 5 × 30 minutes = 150 minutes = 2 hours 30 minutes. 10 + 2 hours 30 minutes = 12 hours 30 minutes.
For the teacher: Applying, medium difficulty, standard 4.5.2
Textbook p. 159

Section B: structured questions

37 marks
Answer all questions. Show your working.
9

Question 9

Change the time to the other system.
[1 mark] (a)Write 11:24 a.m. in the 24-hour system.
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Tick each point you got.
[1 mark] (b)Write 10:30 at night in the 24-hour system.
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Tick each point you got.
[1 mark] (c)Write 0005 hours in the 12-hour system.
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Tick each point you got.
[1 mark] (d)Write 1616 hours in the 12-hour system.
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Tick each point you got.
For the teacher: Remembering, low difficulty, standard 4.1.1
Textbook p. 142
10

Question 10

Diagram 2 shows the timeline of a school sports day programme.
Timeline: 0820 start, 0900, 1000, 1100, 1140 end, with jumps of 40 minutes, 1 hour, 1 hour, 40 minutes
Diagram 2
[2 marks] (a)Calculate the duration of the programme.
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Tick each point you got.
[1 mark] (b)State the end time in the 12-hour system.
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Tick each point you got.
For the teacher: Understanding, low difficulty, standard 4.2.1
Textbook p. 143
11

Question 11

Convert.
[2 marks] (a)5 days 6 hours = ______ hours
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Tick each point you got.
[1 mark] (b)46 days = ______ weeks ______ days
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[1 mark] (c)172 months = ______ years ______ months
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 4.4.2
Textbook p. 147
12

Question 12

Father built three chicken coops. Coop A took 3 days 4 hours, coop B took 2 days 9 hours and coop C took 1 day 12 hours. Calculate the total time to build all three coops.
[2 marks] (a)Total time in days and hours.
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 4.5.1
Textbook p. 152
13

Question 13

A mosque is 10 years 7 months old. A school next to it is 1 year 9 months old. How much older is the mosque than the school?
[2 marks] (a)Calculate the difference in years and months.
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 4.5.1
Textbook p. 156
14

Question 14

A camp has 8 sessions. Each session takes 2 weeks 4 days.
[2 marks] (a)Calculate the total time in days.
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Tick each point you got.
[1 mark] (b)Convert your answer to weeks and days.
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 4.5.2
Textbook p. 159
15

Question 15

A building project of 15 days 6 hours has 3 equal phases.
[2 marks] (a)What is the duration of one phase in days and hours?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 4.5.2
Textbook p. 161
16

Question 16

A machine fills 40 bottles in about 10 minutes.
[2 marks] (a)Estimate the time to fill 200 bottles.
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Tick each point you got.
[1 mark] (b)Father rides a motorcycle at 60 km per hour. Estimate the time to travel 30 km.
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Tick each point you got.
For the teacher: Understanding, medium difficulty, standard 4.3.1
Textbook p. 145
17

Question 17

Zahir takes two flights. Flight 1 leaves at 0750 hours and arrives at 1010 hours. Flight 2 leaves at 1400 hours and arrives at 1845 hours.
[1 mark] (a)How long is flight 1?
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[1 mark] (b)How long is flight 2?
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[1 mark] (c)Was Zahir in the air for more than 7 hours?
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Yes
2 h 20 min + 4 h 45 min = 7 h 5 min, which is more than 7 hours.
[2 marks] (d)How long did he wait between the two flights?
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Tick each point you got.
For the teacher: Analysing, medium difficulty, standard 4.6.1
Textbook p. 164
18

Question 18

Father is 38 years 4 months old. Father's age is 4 times Dina's age. Grandfather's age is twice father's age.
[2 marks] (a)How old is Dina, in years and months?
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Tick each point you got.
[1 mark] (b)How old is grandfather?
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Tick each point you got.
For the teacher: Analysing, medium difficulty, standard 4.6.1
Textbook p. 166
19

Question 19

Amin says: "1 year 9 months + 3 years 5 months = 4 years 14 months."
[1 mark] (a)Is the answer in its simplest form?
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No
14 months is more than 1 year, so it should be changed.
[2 marks] (b)Explain your answer and write the correct answer.
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Tick each point you got.
For the teacher: Evaluating, high difficulty, standard 4.5.1
Textbook p. 153
20

Question 20

A school programme must start at 0800 hours and finish before 1100 hours. It has three items: assembly (25 minutes), performance (1 hour 40 minutes) and prize giving (45 minutes). The items follow each other with no break.
[2 marks] (a)Write the start time and end time of each item in the 24-hour system.
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Tick each point you got.
[1 mark] (b)Does the programme finish before 1100 hours? Give the finish time.
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Tick each point you got.
For the teacher: Creating, high difficulty, standard 4.6.1
Textbook p. 167