Question 1:
1.1.1. Write each of the following sentences as equations:
a. A number plus eight equals thirteen
x + 8 = 13
b. Twice a number equals twelve
2x = 12
1.1.2. There are 7 more boys than girls in a class of 25. How many girls are in the class?
25 – 7 = 18
= 9
There are 9 girls in the class. 9 + (9+7) = 25
1.1.3. What is the perimeter of a swimming pool if the length is 4,5 m and the breadth is
3 m?
Formula = length x breadth
= 4,5m x 3m
= 15m
1.1.4. Define the following concepts:
a. Ratio
A ration is the quantitative relation between two amounts showing the number of times one value
contains or is contained within the other.
b. Rate
A rate is an assigned standard or value to something according to a particular scale.
1.2. Consider the following:
a. Compare the number of cars to the taxis in the table using ratio.
Total cars = 4
Total taxi’s = 8
4 :8
b. Simplify the ratio.
4 :8 Factor 4 (4/4= 1, 8/4 = 2)
1:2
Page | 1
, 1.3. Apply your knowledge on ratio and share R25 between Thando and Sibi in the ratio
2:3.
2
R25 x 3 = R 16,67
1
R25 x 3 = R 8,33
R 16,67 + R 8,33 = R 25
1.4. Write the following statement as a rate:
A motorist travels at 80 km per hour.
Speed = 80km/h
Time = 1 min.
Now, 60 min = 1 hr
Therefore, 1 min = 1/60 hr
Hence, Time ( in hrs ) = 1/60 hr
By using formula,
Distance = Speed × Time
i.e. 80 × 1/60 = 8/6 = 4/3 = 1.333
Hence, the car would travel a distance of 1.333km.
1.5. Express the following common fractions as percentage:
𝟐
a. 𝟒 = 2/4 x 100 = 50%
𝟔
b. 𝟏𝟎 = 6/10 x 100 = 60%
2
1.1.1. Write each of the following sentences as equations:
a. A number plus eight equals thirteen
x + 8 = 13
b. Twice a number equals twelve
2x = 12
1.1.2. There are 7 more boys than girls in a class of 25. How many girls are in the class?
25 – 7 = 18
= 9
There are 9 girls in the class. 9 + (9+7) = 25
1.1.3. What is the perimeter of a swimming pool if the length is 4,5 m and the breadth is
3 m?
Formula = length x breadth
= 4,5m x 3m
= 15m
1.1.4. Define the following concepts:
a. Ratio
A ration is the quantitative relation between two amounts showing the number of times one value
contains or is contained within the other.
b. Rate
A rate is an assigned standard or value to something according to a particular scale.
1.2. Consider the following:
a. Compare the number of cars to the taxis in the table using ratio.
Total cars = 4
Total taxi’s = 8
4 :8
b. Simplify the ratio.
4 :8 Factor 4 (4/4= 1, 8/4 = 2)
1:2
Page | 1
, 1.3. Apply your knowledge on ratio and share R25 between Thando and Sibi in the ratio
2:3.
2
R25 x 3 = R 16,67
1
R25 x 3 = R 8,33
R 16,67 + R 8,33 = R 25
1.4. Write the following statement as a rate:
A motorist travels at 80 km per hour.
Speed = 80km/h
Time = 1 min.
Now, 60 min = 1 hr
Therefore, 1 min = 1/60 hr
Hence, Time ( in hrs ) = 1/60 hr
By using formula,
Distance = Speed × Time
i.e. 80 × 1/60 = 8/6 = 4/3 = 1.333
Hence, the car would travel a distance of 1.333km.
1.5. Express the following common fractions as percentage:
𝟐
a. 𝟒 = 2/4 x 100 = 50%
𝟔
b. 𝟏𝟎 = 6/10 x 100 = 60%
2
