This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Step 1: Calculate the number of portions for Question 2.1.2. The total mass of strawberry puree in a tin is 450 g. Each portion is 30 g. To find the number of portions, divide the total mass by the mass per portion: Number of portions = Total massMass per portion Number of portions = 450 g30 g/portion Number of portions = 15 portions The correct option is C. Step 2: Determine the birth year for Question 2.1.3. Michelle's dad will be 60 years old on 2 May 2023. To find his birth year, subtract his age from the current year: Birth year = Current year - Age Birth year = 2023 - 60 Birth year = 1963 The correct option is A. Step 3: Explain the meaning of "capacity" for Question 2.2.1. Capacity refers to the maximum amount of a substance that a container can hold. • Option A describes volume, which is the amount of space occupied by an object. • Option B is incorrect as capacity relates to three-dimensional space. • Option C accurately describes capacity as the amount of space that can be contained by a substance. The correct option is C. Step 4: Determine the radius of the tank for Question 2.2.2. The diameter of the tank is given as 1\,128 cm. The radius is half of the diameter: Radius = Diameter2 Radius = 1\,128 cm2 Radius = 564 cm The correct option is B. Step 5: Write down the formulae for circumference for Question 2.2.3. The circumference of a circle can be calculated using two main formulas: 1. C = 2 × × radius 2. C = × diameter Comparing these to the given options: • Option A: × radius is incorrect. • Option B: 2 × × radius is a correct formula. • Option C: 2 × × diameter is incorrect (it should be × diameter). The correct option is B. Step 6: Convert the capacity of the tank to ml for Question 2.2.4. The capacity of the tank is 1\,500 litres. To convert litres to millilitres, use the conversion factor 1 L = 1\,000 ml. Capacity in ml = 1\,500 L × 1\,000 ml/L Capacity in ml = 1\,500\,000 ml The correct option is A. Final Answers: 2.1.2. The correct option is C. 2.1.3. The correct option is A. 2.2.1. The correct option is C. 2.2.2. The correct option is B. 2.2.3. The correct option is B. 2.2.4. The correct option is A. Last free one today — make it count tomorrow, or type /upgrade for unlimited.