Time and Clocks Test

Grade 4 Mathematics — Victorian Curriculum

Name:

Date:

Score:

🎯 Success Criteria

By the end of this test, you will have demonstrated your ability to:

✅ Convert between hours, minutes, and seconds | ✅ Calculate elapsed time | ✅ Read and interpret clock positions including mirror images | ✅ Reason logically about clocks running fast or slow | ✅ Apply time concepts to real-world problems

Total Marks: 40 | Time Allowed: 45 minutes

📌 Differentiation Note: Questions marked ⭐ are standard level. Questions marked ⭐⭐ are extension level for advanced learners. All students should attempt all questions — do your best!

⏱️ Part A: Converting Hours and Minutes (⭐)

Convert the following. Write your answer in the space provided.

1. How many minutes are in 3 hours? _________ minutes

2. How many minutes are in 5 hours? _________ minutes

3. How many minutes are in 2 hours and 30 minutes? _________ minutes

4. How many minutes are in 4 hours and 15 minutes? _________ minutes

5. Convert 180 minutes into hours and minutes. _____ hours _____ minutes

6. Convert 250 minutes into hours and minutes. _____ hours _____ minutes

7. Convert 90 minutes into hours and minutes. _____ hours _____ minutes

8. A movie is 2 hours and 45 minutes long. How many minutes is that in total? _________ minutes

⏱️ Part B: Converting Seconds and Minutes (⭐)

Convert the following. Write your answer in the space provided.

9. How many seconds are in 3 minutes? _________ seconds

10. How many seconds are in 5 minutes and 20 seconds? _________ seconds

11. Convert 240 seconds into minutes. _________ minutes

12. Convert 150 seconds into minutes and seconds. _____ minutes _____ seconds

13. A swimmer completed a lap in 95 seconds. How many minutes and seconds is that? _____ minutes _____ seconds

14. How many seconds are in 2 minutes and 45 seconds? _________ seconds

15. ⭐⭐ How many seconds are in 1 hour? _________ seconds

🕐 Part C: Elapsed Time (⭐)

Calculate how much time has passed. Show your working where needed.

16. School starts at 9:00 am and finishes at 3:30 pm. How long is the school day?

17. Mia started reading at 4:15 pm and stopped at 5:45 pm. How long did she read?

18. A train left Melbourne at 7:20 am and arrived in Geelong at 8:05 am. How long was the trip?

19. A cake went into the oven at 2:40 pm and needs to bake for 55 minutes. What time will it be ready?

20. Jake started his homework at 3:50 pm and finished at 5:10 pm. How many minutes did he spend on homework?

21. ⭐⭐ A sports event started at 10:45 am and lasted 3 hours and 40 minutes. What time did it end?

🪞 Part D: Mirror Image of Clocks (⭐⭐)

These questions test your ability to think about clocks reflected in a mirror.

Remember: When a clock is reflected in a mirror, the time appears flipped horizontally. To find the real time, subtract the mirror time from 12:00 (or 11:60).

22. A clock is held up to a mirror. The mirror shows the time as 3:00. What is the actual time on the clock? _________

23. The mirror image of a clock shows 8:10. What is the actual time? _________

24. The mirror image of a clock shows 4:45. What is the actual time? _________

25. The mirror image of a clock shows 6:00. What is the actual time? _________

26. ⭐⭐ The mirror image of a clock shows 2:55. What is the actual time? _________

27. ⭐⭐ A clock shows 9:15. What would its mirror image appear to show? _________

🕰️ Part E: Clocks Running Fast or Slow (⭐ / ⭐⭐)

Read each question carefully and calculate the correct time.

28. A clock is running 10 minutes fast. It currently shows 3:40 pm. What is the actual time? _________

29. A clock is running 15 minutes slow. It currently shows 9:00 am. What is the actual time? _________

30. A clock is 10 minutes fast. It shows 7:05 am. What is the real time? _________

31. A clock is 15 minutes slow. It shows 12:30 pm. What is the real time? _________

32. ⭐⭐ Sam's watch is 10 minutes fast. He looks at his watch and sees 8:50 am. He needs to catch a bus at 8:45 am. Has he missed the bus? Explain your answer.

33. ⭐⭐ A clock gains 5 minutes every hour. If it was set correctly at 6:00 am, what time will it show when the actual time is 10:00 am? _________

🧠 Part F: Logical and Out-of-the-Box Thinking (⭐⭐)

Use your reasoning skills to solve these time puzzles. Show your working.

34. How many times does the minute hand go around the clock in one full day (24 hours)? _________

35. At what time between 3:00 and 4:00 are the hour and minute hands of a clock exactly on top of each other? (Hint: The minute hand gains on the hour hand.)

36. A clock shows 6:00. What is the angle between the hour hand and the minute hand? _________°

37. If today is Wednesday and a holiday is in 100 days, what day of the week will the holiday fall on?

38. Lena went to sleep at 8:00 pm and woke up at 7:00 am the next day. Her little brother slept for 650 minutes. Who slept longer, and by how many minutes?

39. ⭐⭐ A digital clock shows 12:21. This reads the same forwards and backwards (palindrome). What is the next time the clock will show a palindrome time?

40. ⭐⭐ Two clocks are set correctly at noon on Monday. Clock A gains 2 minutes every hour. Clock B loses 3 minutes every hour. After how many hours will Clock A be exactly 25 minutes ahead of Clock B?

🌟 Extension Activity (For Advanced Learners)

Challenge yourself further with this open-ended investigation!

Time Zone Investigation: Australia has multiple time zones. Melbourne (AEST) is UTC+10. Perth (AWST) is UTC+8. Sydney and Melbourne share the same time zone.

Task: If it is 3:30 pm in Melbourne on a Tuesday, answer the following:

(a) What time is it in Perth? _________

(b) ⭐⭐ New Zealand (NZST) is UTC+12. What time is it in Auckland? _________

Bonus Puzzle: If a plane leaves Melbourne at 11:00 pm Tuesday and flies for 9 hours and 30 minutes to Singapore (SGT = UTC+8), what local time and day does it arrive in Singapore?

📋 Differentiation Strategies

For teachers and tutors — strategies to support all learners:

🟢 Support (Students needing extra help): Allow use of a number line or clock face diagram. Focus on Parts A–C only. Provide a conversion reference card (60 seconds = 1 minute, 60 minutes = 1 hour). Allow verbal explanations instead of written working.

🟡 Core (Grade 4 level): Complete Parts A–E. Encourage showing all working. Use real-life contexts (school timetable, TV guide) to check answers make sense.

🔴 Extension (Advanced learners): Complete all parts including ⭐⭐ questions and the Extension Activity. Encourage students to create their own mirror clock or fast/slow clock puzzle for a classmate to solve.

✅ Answer Key

For tutor/teacher use only.

Part A: Converting Hours and Minutes

Part B: Converting Seconds and Minutes

Part C: Elapsed Time

Part D: Mirror Image of Clocks

Method: Subtract mirror time from 12:00 (use 11:60 if needed for subtraction).

22. 9:00 (12:00 − 3:00 = 9:00) | 23. 3:50 (11:60 − 8:10 = 3:50) | 24. 7:15 (11:60 − 4:45 = 7:15) | 25. 6:00 (12:00 − 6:00 = 6:00) | 26. 9:05 (11:60 − 2:55 = 9:05) | 27. Mirror shows 2:45 (11:60 − 9:15 = 2:45)

Part E: Clocks Running Fast or Slow

28. 3:30 pm (subtract 10 min) | 29. 9:15 am (add 15 min) | 30. 6:55 am (subtract 10 min) | 31. 12:45 pm (add 15 min) | 32. His watch reads 8:50 am but is 10 min fast, so the real time is 8:40 am. The bus leaves at 8:45 am — he has NOT missed the bus; he still has 5 minutes. | 33. In 4 hours, the clock gains 5 × 4 = 20 minutes extra. So it shows 10:00 am + 20 min = 10:20 am.

Part F: Logical Thinking

34. 24 times (once per hour) | 35. Approximately 3:16 pm (exactly 3 hours and 16.36 minutes — the minute hand catches up at 3:16 and 22 seconds approximately; accept 3:16) | 36. 180° (hands point in opposite directions at 6:00) | 37. Wednesday + 100 days: 100 ÷ 7 = 14 remainder 2, so 2 days after Wednesday = Friday | 38. Lena slept from 8:00 pm to 7:00 am = 11 hours = 660 minutes. Brother slept 650 minutes. Lena slept longer by 10 minutes. | 39. Next palindrome after 12:21 is 12:31 (reads same forwards and backwards) | 40. Clock A gains 2 min/hr, Clock B loses 3 min/hr. Together they diverge at 2 + 3 = 5 min/hr. To be 25 minutes apart: 25 ÷ 5 = 5 hours.

Extension Activity

(a) Perth: 1:30 pm Tuesday (Melbourne − 2 hours) | (b) Auckland: 5:30 pm Tuesday (Melbourne + 2 hours) | (c) London: 5:30 am Tuesday (Melbourne − 10 hours) | Bonus: Melbourne 11:00 pm Tue + 9h 30min = 8:30 am Wed Melbourne time. Singapore is UTC+8, same as Melbourne AEST during non-daylight saving = 8:30 am Wednesday Singapore time.