CSPA Numeracy: Numbers and Algebra 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?

Accepted Answer

C = 15 + 2.50n

Answer

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?

Accepted Answer

12

Answer

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?

Accepted Answer

3 hours

Answer

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.

Accepted Answer

14

Answer

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?

Accepted Answer

$14.00

Answer

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.

CSPA - Core Skills Profile for Adults Practice Test

CSPA - Core Skills Profile for Adults Practice Test

CSPA Numeracy: Numbers and Algebra Questions and Answers