FREE CAAT Problem-Solving Questions and Answers

Question 1

A box contains 7 black pencils and 28 blue ones. What is the ratio between the black and blue pens?

Accepted Answer

1:4

Answer

Explanation:
The ratio between black and blue pens is 7 to 28 or 7:28. Bring to the lowest terms by dividing both sides by 7 gives 1:4.

Question 2

The manager of a weaving factory estimates that if 10 machines run at 100% efficiency for 8 hours, they will produce 1450 meters of cloth. Due to some technical problems, 4 machines run at 95% efficiency and the remaining 6 at 90% efficiency. How many meters of cloth can these machines produce in 8 hours?

Accepted Answer

1334 meters

Answer

Explanation:
At 100% efficiency, 1 machine produces 1450/10 = 145 m of cloth.
At 95% efficiency, 4 machines produce 4 * 145 * 95/100 = 551 m of cloth.
At 90% efficiency, 6 machines produce 6 * 145 * 90/100 = 783 m of cloth.
Total cloth produced by all 10 machines = 551 + 783 = 1334 m
Since the information provided and the question are based on 8 hours, we did not need to use time to reach the answer.

Question 3

In a local election at polling station A, 945 voters cast their vote out of 1270 registered voters. At poll¬ing station B, 860 cast their vote out of 1050 registered voters, and at station C, 1210 cast their vote out of 1440 registered voters. What is the total turnout from all three polling stations?

Accepted Answer

80%

Answer

Explanation:
The total turnout is calculated by dividing the total number of votes cast by the total number of registered voters and then multiplying by 100 to get the percentage. The turnout percentage is approximately 80%.

Question 4

If Lynn can type a page in p minutes, what portion of the page can she do in 5 minutes?

Accepted Answer

5/p

Answer

Explanation:
This is a simple direct proportion problem:
If Lynn can type 1 page in p minutes, then she can type x pages in 5 minutes.
We do cross multiplication: x * p = 5 * 1
Then, x = 5/p

Question 5

If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both to paint a house?

Accepted Answer

2 hours and 24 minutes

Answer

Explanation:
This is an inverse ratio problem.
1/x = 1/a + 1/b where a is the time Sally can paint a house, b is the time John can paint a house, x is the time Sally and John can together paint a house.

So,
1/x = 1/4 + 1/6 … We use the least common multiple in the denominator that is 24:
1/x = 6/24 + 4/24
1/x = 10/24
x = 24/10
x = 2.4 hours.

In other words; 2 hours + 0.4 hours = 2 hours + 0.4•60 minutes = 2 hours 24 minutes.

CAAT - Canadian Adult Achievement Test Practice Test

CAAT - Canadian Adult Achievement Test Practice Test

FREE CAAT Problem-Solving Questions and Answers