Solve these word problems. 1. Mrs Ndlela's cake has to bake for 50 minutes. If she puts it in the oven at 20 minutes past 8 what time must it come out?

$$08:20 + 50 \text{ minutes}$$ $$20 + 50 = 70 \text{ minutes}$$

Since there are 60 minutes in an hour, 70 minutes is 1 hour and 10 minutes.

$$08:00 + 1 \text{ hour } 10 \text{ minutes} = 09:10$$

The cake must come out at:

$$\boxed{\text{09:10}}$$

2. The school term closes on the 20 March and opens again on the 9 April. How long is the holiday? Give your answer in days.

March has 31 days.

$$\text{Days remaining in March} = 31 - 20 = 11 \text{ days}$$

$$\text{Total holiday days} = 11 \text{ days} + 9 \text{ days} = 20 \text{ days}$$

The holiday is:

$$\boxed{\text{20 days}}$$

3. The sports practice starts at 14:15 and finishes at 15:30. How long does the practice last? Give your answer in minutes. How many hours and minutes is that?

$$\text{End time} = 15:30$$ $$\text{Start time} = 14:15$$ $$\text{Duration in minutes} = (15 \times 60 + 30) - (14 \times 60 + 15)$$ $$= (900 + 30) - (840 + 15)$$ $$= 930 - 855 = 75 \text{ minutes}$$

$$75 \text{ minutes} = 1 \text{ hour } \text{ and } 15 \text{ minutes}$$

The practice lasts:

$$\boxed{\text{75 minutes or 1 hour and 15 minutes}}$$

4. Samisha lived in Hilton from October 2001 to July 2012. How many years and months did she live there?

$$\text{Full years} = 2011 - 2001 = 10 \text{ years}$$

(From October 2001 to October 2011 is 10 full years).

$$\text{Months:} \text{ October, November, December (2011), January, February, March, April, May, June, July (2012)}$$

Counting from October 2011 to July 2012 (inclusive of July):
October, November, December, January, February, March, April, May, June, July.
This is 10 months.

$$\text{Total duration} = 10 \text{ years and } 10 \text{ months}$$

She lived there for:

$$\boxed{\text{10 years and 10 months}}$$

5. The Soccer World Cup is held every four years. South Africa hosted the Soccer World Cup in 2010. What are the dates of the following five Soccer World Cups?

$$\text{1st following World Cup} = 2010 + 4 = 2014$$ $$\text{2nd following World Cup} = 2014 + 4 = 2018$$ $$\text{3rd following World Cup} = 2018 + 4 = 2022$$ $$\text{4th following World Cup} = 2022 + 4 = 2026$$ $$\text{5th following World Cup} = 2026 + 4 = 2030$$

The dates of the following five Soccer World Cups are:

$$\boxed{\text{2014, 2018, 2022, 2026, 2030}}$$

6. The movie starts at half past five and finishes at quarter past eight. How long is the movie?

$$\text{Start time} = 05:30$$ $$\text{End time} = 08:15$$

From 05:30 to 08:30 is 3 hours.
From 08:30 to 08:15 is 15 minutes less.
So, 3 hours - 15 minutes = 2 hours and 45 minutes.

Alternatively:

$$\text{Minutes from 05:30 to 06:00} = 30 \text{ minutes}$$ $$\text{Minutes from 06:00 to 08:00} = 2 \text{ hours} = 120 \text{ minutes}$$ $$\text{Minutes from 08:00 to 08:15} = 15 \text{ minutes}$$ $$\text{Total minutes} = 30 + 120 + 15 = 165 \text{ minutes}$$

Convert to hours and minutes:

$$165 \text{ minutes} = 2 \text{ hours and } 45 \text{ minutes}$$

The movie is:

$$\boxed{\text{2 hours and 45 minutes}}$$

7. Moosa is sick. His mom checks on him at 19:15 when he goes to sleep. She gets up every three hours during the night to see if he is alright. Give the next four times that she gets up.

$$\text{2nd check} = 19:15 + 3 \text{ hours} = 22:15$$ $$\text{3rd check} = 22:15 + 3 \text{ hours} = 25:15$$

Since 25:15 is past midnight (24:00), subtract 24 hours: $25:15 - 24:00 = 01:15$ (next day).

$$\text{4th check} = 01:15 + 3 \text{ hours} = 04:15$$ $$\text{5th check} = 04:15 + 3 \text{ hours} = 07:15$$

The next four times she gets up are:

$$\boxed{\text{22:15, 01:15, 04:15, 07:15}}$$

8. If Moosa sleeps from 19:15 to 07:25. How many hours and minutes does he sleep for?

$$\text{Minutes from 19:15 to 20:00} = 45 \text{ minutes}$$ $$\text{Hours from 20:00 to 24:00} = 4 \text{ hours}$$ $$\text{Duration until midnight} = 4 \text{ hours and } 45 \text{ minutes}$$

$$\text{Total hours} = 4 + 7 = 11 \text{ hours}$$ $$\text{Total minutes} = 45 + 25 = 70 \text{ minutes}$$

Convert 70 minutes to hours and minutes: $70 \text{ minutes} = 1 \text{ hour and } 10 \text{ minutes}$.

$$\text{Total sleep duration} = 11 \text{ hours} + 1 \text{ hour and } 10 \text{ minutes} = 12 \text{ hours and } 10 \text{ minutes}$$

He sleeps for:

$$\boxed{\text{12 hours and 10 minutes}}$$