CSPA - Core Skills Profile for Adults Problem-Solving with Numeracy Questions and Answers — Questions and Answers
Question 1: A community garden project requires 6 cubic metres of soil. The soil is sold in bags containing 50 litres. If 1 cubic metre is equal to 1000 litres, how many bags of soil are needed for the project?
- 60 bags
- 100 bags
- 120 bags (Correct answer)
- 150 bags
Correct answer: 120 bags
First, calculate the total litres of soil needed: 6 cubic metres * 1000 litres/cubic metre = 6000 litres. Next, divide the total litres by the volume per bag: 6000 litres / 50 litres/bag = 120 bags.
Question 2: A café owner is analyzing monthly sales. In April, the sales were $8,000. In May, sales increased by 15%. What were the total sales for May?
- $8,150
- $9,200 (Correct answer)
- $8,800
- $9,500
Correct answer: $9,200
To find the increase amount, calculate 15% of $8,000: 0.15 * $8,000 = $1,200. Then, add this increase to the original sales amount: $8,000 + $1,200 = $9,200.
Question 3: The chart below shows the number of hours a trainee spent on different tasks during a 40-hour work week. How many more hours were spent on 'On-the-Job Training' than on 'Administrative Tasks'? Task Distribution: - On-the-Job Training: 50% - Client Meetings: 25% - Administrative Tasks: 15% - Team Meetings: 10%
- 10 hours
- 14 hours
- 8 hours (Correct answer)
- 20 hours
Correct answer: 8 hours
First, calculate the hours for each task. On-the-Job Training: 50% of 40 hours = 20 hours. Administrative Tasks: 15% of 40 hours = 6 hours. Then, find the difference: 20 hours - 6 hours = 14 hours. Wait, the correct calculation is: 20 hours (Training) - 6 hours (Admin) = 14 hours. Let me re-calculate. Training: 0.50 * 40 = 20 hours. Admin: 0.15 * 40 = 6 hours. The difference is 20 - 6 = 14 hours. Let me check my options. It seems there is a miscalculation in the provided correct answer. Let's recalculate and fix the question. Let's set the difference to be 8 hours. Training hours = 20. So Admin hours must be 12. 12/40 = 30%. Let's change Admin to 30% and Client Meetings to 10%. New distribution: Training 50%, Admin 30%, Client Meetings 10%, Team Meetings 10%. Total = 100%. OK. New calculation: Training hours = 0.50 * 40 = 20 hours. Admin hours = 0.30 * 40 = 12 hours. Difference = 20 - 12 = 8 hours. This works. The correct explanation is: On-the-Job Training hours = 50% of 40 = 20 hours. Administrative Tasks hours = 30% of 40 = 12 hours. The difference is 20 - 12 = 8 hours. The question text will be updated to reflect this change. New Question: The chart below shows the number of hours a trainee spent on different tasks during a 40-hour work week. How many more hours were spent on 'On-the-Job Training' than on 'Administrative Tasks'? Task Distribution: - On-the-Job Training: 50% - Administrative Tasks: 30% - Client Meetings: 10% - Team Meetings: 10%
Question 4: A customer's electricity bill is calculated by adding a fixed daily supply charge to a usage charge. The fixed charge is $1.20 per day. The usage charge is $0.25 per kilowatt-hour (kWh). If a customer uses 450 kWh in a 30-day period, what is their total bill?
- $112.50
- $148.50 (Correct answer)
- $136.20
- $153.75
Correct answer: $148.50
First, calculate the total fixed supply charge: 30 days * $1.20/day = $36.00. Next, calculate the total usage charge: 450 kWh * $0.25/kWh = $112.50. Finally, add the two charges together: $36.00 + $112.50 = $148.50.
Question 5: Which of the following represents the correct step-by-step process to calculate the average fuel efficiency (in km per litre) of a car that travelled 560 km and used 40 litres of fuel?
- Multiply the distance by the fuel used (560 * 40).
- Divide the fuel used by the distance (40 / 560).
- Add the fuel used to the distance (560 + 40).
- Divide the distance by the fuel used (560 / 40). (Correct answer)
Correct answer: Divide the distance by the fuel used (560 / 40).
Fuel efficiency is a rate that measures distance per unit of volume. To find the kilometres travelled for each litre of fuel, the total distance must be divided by the total amount of fuel consumed.
Question 6: A floor plan is drawn to a scale of 1:100. On the plan, a rectangular room measures 5 cm by 4 cm. What is the actual area of the room in square metres?
- 20 square metres (Correct answer)
- 200 square metres
- 2,000 square metres
- 2 square metres
Correct answer: 20 square metres
First, convert the plan dimensions to actual dimensions in centimetres using the scale: 5 cm * 100 = 500 cm and 4 cm * 100 = 400 cm. Then, convert these dimensions to metres: 500 cm = 5 m and 400 cm = 4 m. Finally, calculate the area: 5 m * 4 m = 20 square metres.
CSPA - Core Skills Profile for Adults Problem-Solving with Numeracy Questions and Answers
A community garden project requires 6 cubic metres of soil.
The soil is sold in bags containing 50 litres.
If 1 cubic metre is equal to 1000 litres, how many bags of soil are needed for the project?