CAEC - Canadian Adult Education Credential Mathematics with a Calculator Questions and Answers

Question 1

An electronics store is offering a 20% discount on a television that originally costs $1,250. If the sales tax is 13% (HST), what is the final price of the television after the discount and tax are applied?

Accepted Answer

$1,130.00

Answer

First, calculate the discount amount: $1,250 * 0.20 = $250. Subtract the discount from the original price to get the sale price: $1,250 - $250 = $1,000. Next, calculate the sales tax on the sale price: $1,000 * 0.13 = $130. Finally, add the sales tax to the sale price to find the final cost: $1,000 + $130 = $1,130.00.

Question 2

A rectangular community garden has a length of 25.5 metres and a width of 15.2 metres. The organizers want to build a fence around the entire garden. What is the total length of fencing required in metres?

Accepted Answer

81.4 metres

Answer

The length of fencing required is the perimeter of the rectangle. The formula for the perimeter of a rectangle is P = 2(length + width). Substitute the given values: P = 2(25.5m + 15.2m). First, add the length and width: 25.5 + 15.2 = 40.7 metres. Then, multiply the sum by 2: P = 2 * 40.7 = 81.4 metres.

Question 3

A car travels at an average speed of 85 kilometres per hour. How long will it take the car to travel a distance of 446.25 kilometres?

Accepted Answer

5 hours 15 minutes

Answer

To find the time, use the formula: Time = Distance / Speed. Time = 446.25 km / 85 km/h = 5.25 hours. To convert the decimal part of the hour into minutes, multiply it by 60: 0.25 * 60 = 15 minutes. Therefore, the total time is 5 hours and 15 minutes.

Question 4

A recipe for a batch of 12 muffins requires 1.5 cups of flour. If you want to make 30 muffins, which of the following proportions correctly represents the amount of flour (x) needed?

Accepted Answer

1.5 / 12 = x / 30

Answer

The relationship is a direct proportion. The ratio of flour to muffins must remain constant. The correct proportion is (flour for first batch) / (muffins in first batch) = (flour for second batch) / (muffins in second batch). This gives the equation 1.5 / 12 = x / 30.

Question 5

A loan of $5,000 is taken out with a simple interest rate of 4.5% per year. What is the total amount of interest paid after 3 years?

Accepted Answer

$675.00

Answer

The formula for simple interest is I = Prt, where I is the interest, P is the principal amount ($5,000), r is the annual interest rate (0.045), and t is the time in years (3). I = $5,000 * 0.045 * 3. Calculating this gives: I = $225 * 3 = $675.00.

(CAEC) Canadian Adult Education Credential Practice Test

(CAEC) Canadian Adult Education Credential Practice Test

CAEC - Canadian Adult Education Credential Mathematics with a Calculator Questions and Answers