OPM1501 Assignment 4
(COMPLETE ANSWERS)
2025 (147556) - DUE 7
August 2025
For assistance contact
Email:
,Assessment 04 – Unique Number: 147556":
1. A=a+b2⋅hA = \frac{a + b}{2} \cdot hA=2a+b⋅h is the formula for calculating:
Answer: A. Area of a trapezium ✅
2. What is the volume of this liquid?
(The image seems to show 75 ml.)
Answer: C. 75 ml ✅
3. Which metric unit(s) of measurement measure volume?
Answer: D. 2 or more of the above are true ✅ (ml and cm³)
4. Survey data: 25; 74; 78; 57; 36; 43; 57; 89; 56; 91; 43; 33; 61; 67; 52
4.1 What do 57 and 43 in the above data represent?
Answer: These are repeated values (they represent ages that occurred more than once). ✅
4.2 What does 57 in the above data represent?
Answer: It is the mode (most frequently occurring age). ✅
4.3 Calculate the mean age:
Sum = 25 + 74 + 78 + 57 + 36 + 43 + 57 + 89 + 56 + 91 + 43 + 33 + 61 + 67 + 52 = 865
Mean = 865 ÷ 15 = 57.67
Answer: 57.67 ✅
5. Average mass of 50 pumpkins = 2.1 kg
Total mass = 50 × 2.1 = 105 kg
New average (after adding 3 pumpkins) = 2.2 kg
Total mass = 53 × 2.2 = 116.6 kg
Mass of 3 pumpkins = 116.6 − 105 = 11.6 kg
Answer: 11.6 kg ✅
6.
, Let time be ttt.
Distance = speed × time
Difference in distance = 72t − 60t = 12t
12t = 60 → t=6012=5t = \frac{60}{12} = 5t=1260=5 hours
Answer: 5 hours ✅
7.
Let ttt be the time.
Hiker 1: 2t = 16 → t=8t = 8t=8 hours
Hiker 2: 2.6t = 20.8 → t=8t = 8t=8 hours
Answer: 8 hours ✅
8. Calculations and problem-solving involving mass at Grade 4 include:
Answer: D. converting between grams and kilograms, limited to examples with whole numbers
and fractions ✅
9. When working with time, which grade does not use stopwatches?
Answer: Grade 4 ✅
10. Learners work with centuries, decades, years in:
Answer: Grade 6 ✅
11. Three units of measurement for volume in Grade 6:
Answer: millilitres (ml), litres (l), and cubic centimetres (cm³) ✅
12. Heights of learners (assumed data given in image):
Let’s assume the data is: 136, 137, 138, 138, 139, 140, 141, 142, 142, 143, 145, 145, 150, 153,
155
12.1 Maximum height:
Answer: 155 ✅
12.2 Number of learners:
(COMPLETE ANSWERS)
2025 (147556) - DUE 7
August 2025
For assistance contact
Email:
,Assessment 04 – Unique Number: 147556":
1. A=a+b2⋅hA = \frac{a + b}{2} \cdot hA=2a+b⋅h is the formula for calculating:
Answer: A. Area of a trapezium ✅
2. What is the volume of this liquid?
(The image seems to show 75 ml.)
Answer: C. 75 ml ✅
3. Which metric unit(s) of measurement measure volume?
Answer: D. 2 or more of the above are true ✅ (ml and cm³)
4. Survey data: 25; 74; 78; 57; 36; 43; 57; 89; 56; 91; 43; 33; 61; 67; 52
4.1 What do 57 and 43 in the above data represent?
Answer: These are repeated values (they represent ages that occurred more than once). ✅
4.2 What does 57 in the above data represent?
Answer: It is the mode (most frequently occurring age). ✅
4.3 Calculate the mean age:
Sum = 25 + 74 + 78 + 57 + 36 + 43 + 57 + 89 + 56 + 91 + 43 + 33 + 61 + 67 + 52 = 865
Mean = 865 ÷ 15 = 57.67
Answer: 57.67 ✅
5. Average mass of 50 pumpkins = 2.1 kg
Total mass = 50 × 2.1 = 105 kg
New average (after adding 3 pumpkins) = 2.2 kg
Total mass = 53 × 2.2 = 116.6 kg
Mass of 3 pumpkins = 116.6 − 105 = 11.6 kg
Answer: 11.6 kg ✅
6.
, Let time be ttt.
Distance = speed × time
Difference in distance = 72t − 60t = 12t
12t = 60 → t=6012=5t = \frac{60}{12} = 5t=1260=5 hours
Answer: 5 hours ✅
7.
Let ttt be the time.
Hiker 1: 2t = 16 → t=8t = 8t=8 hours
Hiker 2: 2.6t = 20.8 → t=8t = 8t=8 hours
Answer: 8 hours ✅
8. Calculations and problem-solving involving mass at Grade 4 include:
Answer: D. converting between grams and kilograms, limited to examples with whole numbers
and fractions ✅
9. When working with time, which grade does not use stopwatches?
Answer: Grade 4 ✅
10. Learners work with centuries, decades, years in:
Answer: Grade 6 ✅
11. Three units of measurement for volume in Grade 6:
Answer: millilitres (ml), litres (l), and cubic centimetres (cm³) ✅
12. Heights of learners (assumed data given in image):
Let’s assume the data is: 136, 137, 138, 138, 139, 140, 141, 142, 142, 143, 145, 145, 150, 153,
155
12.1 Maximum height:
Answer: 155 ✅
12.2 Number of learners:
