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Unit 10.
Capacity.
Activity 1.
Capacity.
Capacity is the amount of space inside a container or how much liquid a
container can hold.
1. Write the name of each container. Say if you would measure the liquid in mℓ or ℓ.
Example: cup: mℓ.
2. A hosepipe can use up to 30ℓ of water a minute.
How many ℓ of water would a hosepipe use in:
1
a. 5 minutes?
b. 72 minutes?
c. 10 minutes?
d. 15 minutes?
1
e. 2 an hour?
F. 1 hour?
Activity 2.
Conversions.
Remember: 1ℓ = 1 000mℓ so….
1
ℓ = 500mℓ
2
1. Replace * with ˂ ˃ or =.
1
a. 2ℓ * 500mℓ
3
c. 4ℓ * 800mℓ
1
e. 5ℓ * 250mℓ
2
g. 5ℓ * 400mℓ
1
1
ℓ = 250mℓ
4
ℓ = 200mℓ
1
5
b. 4ℓ * 200mℓ
1
d. 10ℓ * 100mℓ
9
f. 10ℓ * 900mℓ
3
h. 5ℓ * 350mℓ
1
ℓ = 100mℓ
10
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2. Copy and complete the sentences.
a. There are ____ 500mℓ in 4ℓ.
b. There are ____ 250mℓ in 4ℓ.
c. There are ____ 500mℓ in 6,5ℓ.
d. There are ____250mℓ in 6,5ℓ.
e. There are ____500mℓ in 12,5ℓ.
f. There are ____250mℓ in 12,5ℓ.
3. Copy and complete the table.
Fraction Decimal ℓ & mℓ
Ex: 21ℓ
2,5ℓ
2ℓ 500mℓ
a
b
c
d
e
f
g
1
2
ℓ
4
3
ℓ
4
1,5ℓ
3ℓ 250mℓ
5,25ℓ
1,1ℓ
4ℓ 200mℓ
Activity 3.
Measuring capacity.
1. Which instrument would you use
to measure the following?
a. water to fill a kettle
b. cough medicine
c. milk for a pudding recipe
d. water to dilute powdered
cooldrink
e. flour to make bread
f. water to wash clothes
g. half a cup of sugar to bake a
cake
h. a tablespoon of jam
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Activity 4.
Reading capacity.
1. Write the correct capacity for each container.
Secondly, round off each reading to the nearest 100mℓ.
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Activity 5.
Kilolitres, litres and millilitres.
When we measure large amounts of liquids we measure in
kilolitres (kℓ)
1 kℓ = 1 000 ℓ.
The water in water tanks and dams would be measured in kilolitres.
1. Copy and complete.
a. 2kℓ = ___ℓ
3
d. 14kℓ = ___ℓ
1
g. 25kℓ = ___ℓ
1
b. 22kℓ = ___ℓ
1
c. 34kℓ = ___ℓ
e. 6,5kℓ = ___ℓ
f. 6kℓ = ___ℓ
h. 2,4kℓ = ___ℓ
i. 3,75kℓ = ___ℓ
2. Next to each object, write the correct capacity.
a. a teacup:
20mℓ
200mℓ
b. a raindrop:
1mℓ
10mℓ
c. a water tank:
2,5ℓ
25ℓ
d. a car’s petrol tank:
6ℓ
60ℓ
e. a teapot:
10mℓ
1ℓ
f. a mug:
35mℓ
350mℓ
g. a swimming pool:
60ℓ
600ℓ
3. Calculate:
a. 25% of 100ℓ = ____ℓ
c. 10 000ℓ = ____ℓ
e. 10% of 50mℓ = ____mℓ
2ℓ
100mℓ
2,5kℓ
600ℓ
10ℓ
3ℓ
6kℓ
b. 6ℓ 312mℓ = ____mℓ
d. 20% of 60ℓ = ____kℓ
f. 4ℓ 250mℓ = ____mℓ
Activity 6.
Word Problems.
Solve the word problems, showing the working out in full.
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a. How many litres of oil did Tom’s Take away use from January to May?
b. Tom’s take away used 400ℓ of oil in the first 6 months of the year.
How much oil was used in the month of June?
c. Oil costs R18,50 per litre. How much did Tom pay for the 400ℓ ?
2. Every day, Miss Feni uses:
60ℓ of water to bath
6ℓ of water to wash dishes
2,5ℓ of water for cooking
1,5ℓ of water for drinking.
How much water does Miss Feni use in the month of June?
3.
The ladies at the soup kitchen make 9ℓ of soup.
1 cup holds 250mℓ of soup.
How many people can have a cup of soup?
4. Pancake recipe for 10 pancakes:
250mℓ flour
125mℓ milk
150mℓ warm water
1 egg
10mℓ oil
5mℓ baking powder
Write the ingredients you would need to make 60 pancakes for the class party.
Mental Maths with Vocab.
1. 1. Multiply 40 by 60.
2. Round off 6 452 to the nearest 100.
3. Write 345 281 in words.
4. How many litres in 2,5 kilolitres?
5. Add 625 and 925.
6. How many nines in one hundred and eight?
7. Write 0,7 as a common fraction.
8. Write the first 5 multiples of 15.
2. 1. Round off 6 452 to the nearest 1 000.
2. Write all the factors of 30.
3. Write the place value of the underlined digits: 43 120.
4. Write
12
100
as a decimal fraction.
5. Multiply 80 by 400.
6. Divide fifty thousand by one hundred.
7. How many fives in one hundred?
8. Write the smallest number using a 9; 2; 0; 7; 3; 6.
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3. 1. Divide 3 600 by 10.
2. Which is bigger: 2,2 or 2,09?
3. Add 12, 5 and 3,45.
4. How many twelves in 132?
5. Write the place value of the 4 in 36,4.
6. Write all the factors of 25.
7. Write the first five multiples of 25.
8. Write the biggest number using a 4; 0; 3; 7; 2; 8.
4. 1. Subtract 4 500 from 64 000.
2. Write 737 584 in expanded notation.
3. What is the cost of 300 pencils at R5 each?
4. True or false: 1,5 is bigger than 1,450.
1
5. Write 105 as a decimal.
6. Halve the number 442 626.
1
7. How many millilitres in 22 litres?
7
8. Write 100 as a decimal.
5. 1. Write the next three numbers: 346,2; 346,4; 346,6; ____; ____; ____
2. Write as a number: two hundred and forty thousand four hundred and one.
3. Write in words: 487 203.
4. True or false: a square based pyramid has five flat surfaces.
5. True or false: a cylinder has only flat faces.
6. One hundred pens cost R250. What is the cost of 1 pen?
7. Write these decimals from smallest to biggest: 0,5; 0,25; 0,35; 0,4.
8. I have four triangular faces. What am I?
Informal Assessment.
1. Copy and complete the flow diagrams.
25 000
12 600
62 000
40 400
÷ 100
16 000
80 000
2 000
57 000
÷ 1 000
2. Division with remainders.
Copy and complete the number sentences.
a. ___ ÷ 4 = 12 rem 3.
e. 73 ÷ ____ = 8 rem 1.
b. 102 ÷ ____ = 10 rem 2.
f. ____ ÷ 7 = 9 rem 5.
c. 94 ÷ ____ = 8 rem 6.
g. ____ ÷ 8 = 6 rem 2.
d. ____ ÷ 12 = 11 rem 8.
H. 87 ÷ ____ = 7 rem 3.
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3. Calculate and check your answers by using multiplication.
a. 4 832÷19
b. 2 361÷23
c. 5 016÷31
d. 7 178÷42
e. 1 945÷17
f. 6 947÷27
4. Write each shaded part as a fraction and a decimal.
a.
b.
c.
d.
5. Write the place value of the underlined digits:
a. 248,145
b. 6 271,384
6. Copy and complete.
a. 3,5+1,7
d. 65,19-27,23
7. Capacity.
Replace * with ˃ ˂ or =.
1
a. 4kℓ * 200mℓ
b. 7,6-2,0
e. 3,54x10
1
b. 5kℓ * 250mℓ
c. 3 904,672
c. 16,27+12,08
f. 15,78x100
9
c. 10ℓ * 900mℓ
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8. Copy and complete the sentences.
a. There are ____ 500mℓ in 6,5ℓ.
b. There are ____ 250mℓ in 3ℓ.
c. There are ____ 200mℓ in 2ℓ.
d. There are ____ 750mℓ in 1,5ℓ.
9. Copy and complete the table.
Fraction
Decimal
1
a.
1 ℓ
b.
c.
2
10. Copy and complete.
a. 2kℓ = ____ℓ
d. 1 350ℓ = ____kℓ
g. 25% of 100ℓ = ____ℓ
ℓ / mℓ
5,25ℓ
3ℓ 200mℓ
b. 5,5ℓ = ____mℓ
e. 20ℓ = ____mℓ
h. 10% of 50mℓ = ____mℓ
c. 7 500mℓ = ____ℓ
f. 6ℓ 200mℓ = ____mℓ
i. 20% of 60ℓ = ____ℓ
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