CSPA Numeracy: Numbers and Algebra Questions and Answers — Questions and Answers
Question 1: A printing company charges a flat fee of $15 to set up a design, plus $2.50 for each t-shirt printed. Which of the following expressions represents the total cost (C) to print 'n' t-shirts?
- C = 15n + 2.50
- C = 15 + 2.50n (Correct answer)
- C = (15 + 2.50)n
- C = 15 - 2.50n
Correct answer: C = 15 + 2.50n
The total cost is the sum of the one-time flat fee ($15) and the variable cost, which is the price per shirt ($2.50) multiplied by the number of shirts (n). Therefore, the correct formula is C = 15 + 2.50n.
Question 2: A caterer is preparing a fruit salad. The recipe requires 3 apples for every 2 oranges. If the caterer uses 18 apples, how many oranges will be needed?
- 27
- 17
- 12 (Correct answer)
- 18
Correct answer: 12
The ratio of apples to oranges is 3:2. To find out how many sets of '3 apples' are in 18 apples, divide 18 by 3, which equals 6. Since each set of apples corresponds to 2 oranges, multiply 6 by 2 to get the total number of oranges needed, which is 12.
Question 3: An electrician charges a $50 call-out fee and then $75 per hour for labour. If the total bill was $275, how many hours of labour were charged?
- 4 hours
- 4.3 hours
- 3 hours (Correct answer)
- 3.5 hours
Correct answer: 3 hours
First, subtract the fixed call-out fee from the total bill: $275 - $50 = $225. This is the amount charged for labour. Then, divide the labour cost by the hourly rate: $225 / $75 per hour = 3 hours.
Question 4: Evaluate the expression 5x - 3y if x = 4 and y = 2.
- 14 (Correct answer)
- 11
- 4
- 26
Correct answer: 14
Substitute the given values into the expression. Replace 'x' with 4 and 'y' with 2: 5(4) - 3(2). Following the order of operations, perform the multiplication first: 20 - 6. Then perform the subtraction: 20 - 6 = 14.
Question 5: A courier service charges for parcels based on the formula: Cost = $5.00 + $1.50w, where 'w' is the weight of the parcel in kilograms. What is the cost to send a parcel that weighs 6 kilograms?
- $9.00
- $31.50
- $14.00 (Correct answer)
- $11.50
Correct answer: $14.00
To find the cost, substitute the weight (w=6) into the formula: Cost = $5.00 + $1.50 * 6. First, calculate the weight-based charge: $1.50 * 6 = $9.00. Then, add the base charge: $5.00 + $9.00 = $14.00.
Question 6: Which of the following numbers is the result of the calculation 10 + 4 × (5 - 2)?
- 42
- 19
- 22 (Correct answer)
- 30
Correct answer: 22
According to the order of operations (BODMAS/PEMDAS), you must solve the calculation in the parentheses first: (5 - 2) = 3. The equation becomes 10 + 4 × 3. Next, perform the multiplication: 4 × 3 = 12. Finally, perform the addition: 10 + 12 = 22.
CSPA Numeracy: Numbers and Algebra Questions and Answers
A printing company charges a flat fee of $15 to set up a design, plus $2.50 for each t-shirt printed.
Which of the following expressions represents the total cost (C) to print 'n' t-shirts?