MIP1501
ASSIGNMENT 3 2025
UNIQUE NO. 178273
DUE DATE: 30 JULY 2025
,Mathematics For Intermediate Phase Teachers I
Question 1
1.1 A tractor travels 90 kilometers on 18 liters of fuel. How much fuel will it need to
travel 130 kilometers?
Solution:
Fuel per km = 18 ℓ / 90 km = 0.2 ℓ/km
Fuel for 130 km = 130 km x 0.2 ℓ/km = 26.00 ℓ
Answer: 26.00 ℓ
1.2 7 kg of tomatoes cost R56.63. How much for 10 kg?
Cost per kg = R56. = R8.09
Cost for 10 kg = 10 x 8.09 = R80.90
Answer: R80.90
1.3 30 men build a wall in 20 days. How long for 25 men?
Total man-days = 30 x 20 = 600
600 man-days / 25 men = 24 days
Answer: 24 days
1.4
1.4.1 Chicken cost per kg:
200 g = R19 → 1000 g (1 kg) = 19 x (1000/200) = R95.00
Answer: R95.00
1.4.2 Fillet steak cost for 2.5 kg:
250 g = R55 → 1 kg = R55 x 4 = R220
Cost = 2.5 x 220 = R550.00
Answer: R550.00
1.4.3 Quantities needed for 18 guests for 3 weeks:
Multiply by 3 (weeks) and 3 (since 18 is 3x6):
, Rump steak: 1 kg x 3 x 3 = 9 kg
Mince: 2 kg x 3 x 3 = 18 kg
Chicken: 1.5 kg x 3 x 3 = 13.5 kg
Fillet steak: 2.5 kg x 3 x 3 = 22.5 kg
1.4.4 Total amount for meat:
Rump steak: 500 g = R75 → 1 kg = R150 → 9 kg = R1350
Mince: R84 x 18 = R1512
Chicken: R95 x 13.5 = R1282.50
Fillet steak: R220 x 22.5 = R4950
Total: R1350 + R1512 + R1282.50 + R4950 = R9094.50
1.5
1.5.1 Area = 12 m x 6 m = 72 m².
Rate = 4 m²/hour.
Time = = 18 hours
Explanation for learner: First multiply to get total area (length x width), then divide the
total area by how much is cleaned per hour.
1.5.2 Two workers: 4 + 4 = 8 m²/hour
Time = = 9 hours
Explanation for learner: Since two people are working, we add their rates together.
Then divide the total area by their combined rate.
Question 2
2.1 Activity using Map of Africa: Provide learners with a political map of Africa. Ask
them:
Count the number of countries in each region.
ASSIGNMENT 3 2025
UNIQUE NO. 178273
DUE DATE: 30 JULY 2025
,Mathematics For Intermediate Phase Teachers I
Question 1
1.1 A tractor travels 90 kilometers on 18 liters of fuel. How much fuel will it need to
travel 130 kilometers?
Solution:
Fuel per km = 18 ℓ / 90 km = 0.2 ℓ/km
Fuel for 130 km = 130 km x 0.2 ℓ/km = 26.00 ℓ
Answer: 26.00 ℓ
1.2 7 kg of tomatoes cost R56.63. How much for 10 kg?
Cost per kg = R56. = R8.09
Cost for 10 kg = 10 x 8.09 = R80.90
Answer: R80.90
1.3 30 men build a wall in 20 days. How long for 25 men?
Total man-days = 30 x 20 = 600
600 man-days / 25 men = 24 days
Answer: 24 days
1.4
1.4.1 Chicken cost per kg:
200 g = R19 → 1000 g (1 kg) = 19 x (1000/200) = R95.00
Answer: R95.00
1.4.2 Fillet steak cost for 2.5 kg:
250 g = R55 → 1 kg = R55 x 4 = R220
Cost = 2.5 x 220 = R550.00
Answer: R550.00
1.4.3 Quantities needed for 18 guests for 3 weeks:
Multiply by 3 (weeks) and 3 (since 18 is 3x6):
, Rump steak: 1 kg x 3 x 3 = 9 kg
Mince: 2 kg x 3 x 3 = 18 kg
Chicken: 1.5 kg x 3 x 3 = 13.5 kg
Fillet steak: 2.5 kg x 3 x 3 = 22.5 kg
1.4.4 Total amount for meat:
Rump steak: 500 g = R75 → 1 kg = R150 → 9 kg = R1350
Mince: R84 x 18 = R1512
Chicken: R95 x 13.5 = R1282.50
Fillet steak: R220 x 22.5 = R4950
Total: R1350 + R1512 + R1282.50 + R4950 = R9094.50
1.5
1.5.1 Area = 12 m x 6 m = 72 m².
Rate = 4 m²/hour.
Time = = 18 hours
Explanation for learner: First multiply to get total area (length x width), then divide the
total area by how much is cleaned per hour.
1.5.2 Two workers: 4 + 4 = 8 m²/hour
Time = = 9 hours
Explanation for learner: Since two people are working, we add their rates together.
Then divide the total area by their combined rate.
Question 2
2.1 Activity using Map of Africa: Provide learners with a political map of Africa. Ask
them:
Count the number of countries in each region.
