MASS Math Test 1

Question 1

Carlo left home with $6.50 in his purse. He spent $4.25 on foods and $2.00 on toys. Later, his friend returned the $2.50 he had borrowed the day before. How much money does Carlo currently have in his purse?

Accepted Answer

$2.75

Answer

To find out how much money Carlo has, you need to track his transactions. He started with $6.50, then spent $4.25 (leaving $2.25) and another $2.00 (leaving $0.25). Finally, his friend returned $2.50, so you add that to his current amount: $0.25 + $2.50 = $2.75.

Question 2

A combination lock has a three-digit code. Each digit can be any of the ten integers ranging from 0 to 9. How many possible combinations are there?

Accepted Answer

1000

Answer

For a three-digit code where each digit can be any of the ten integers from 0 to 9, you have 10 independent choices for each position. Therefore, the total number of possible combinations is found by multiplying the number of choices for each digit: 10 * 10 * 10 = 1000.

Question 3

There are sixteen empty chairs in Ms. Brittany's classroom. When every student is present, every chair is occupied. How many pupils make up her entire class if 2/5 of the students are absent?

Accepted Answer

40

Answer

The problem states that 16 empty chairs mean 16 students are absent. It also specifies that 2/5 of the total students are absent. Therefore, 16 students represent 2/5 of the entire class. To find the total number of students, you can set up the equation (2/5) * Total Students = 16, and solve for Total Students: 16 * (5/2) = 40 students.

Question 4

Candidate A received 36,800 votes in a Boston County election. Candidate B came in second with 32,100 votes. Write-in candidates received 2,100 votes. Candidate A received what percentage of the vote?

Accepted Answer

51.80%

Answer

To find the percentage of votes Candidate A received, first calculate the total number of votes cast by summing the votes for Candidate A, Candidate B, and write-in candidates. This sum is 36,800 + 32,100 + 2,100 = 71,000 votes. Then, divide Candidate A's votes (36,800) by the total votes (71,000) and multiply by 100 to express it as a percentage, which yields approximately 51.80%.

Question 5

In the morning, Harry traveled 45 miles to work in an hour and ten minutes. However, traffic was much heavier on the way home, and the same drive took an hour and a half. What was his round-trip average speed in miles per hour?

Accepted Answer

33 3/4 mi/hr

Answer

To calculate the round-trip average speed, first determine the total distance traveled and the total time taken. The round-trip distance is 45 miles * 2 = 90 miles. The total time is 1 hour 10 minutes (7/6 hours) plus 1 hour 30 minutes (3/2 hours), which sums to 16/6 or 8/3 hours. Finally, divide the total distance (90 miles) by the total time (8/3 hours) to get the average speed, resulting in 33.75 miles per hour, or 33 3/4 mi/hr.

MASS Test Practice Test

MASS Test Practice Test

MASS Math Test 1