Free Standardized Achievement Problem Solving Test Question and Answer

Question 1

There is growth at the City Opera House.
The opera theater is currently located on a rectangular city block with a total volume of 9600 ft.
What would the additional volume be if the extended Opera House was 2.5 times as long, broad, and deep as the original structure?

Accepted Answer

150,000

Answer

60,000

Answer

245,000

Answer

24,000

Answer

72,000

Question 2

In a 200-member university club, there are 50 fewer Political Science majors than there are International Relations majors. How many club members are majoring in international relations if one-fifth of the club members are neither political science nor international relations majors and no club member is majoring in both fields?

Accepted Answer

42

Answer

124

Answer

71

Answer

95

Answer

50

Question 3

What is the percentage of profit or loss made on the sale of each pair of shoes, assuming each pair of shoes cost the same amount of money and each pair of shoes sold for the same amount of money, if the total cost of 20 pairs of shoes equals the total revenue made from the sale of 25 pairs of shoes?

Accepted Answer

20% loss

Answer

20% profit

Answer

25% profit

Answer

5% profit

Answer

25% loss

Question 4

Clarissa spent the entire day exploring Britain. Starting from her hotel, Clarissa boarded a bus that made its way through a 30-mile stretch of the countryside at an average pace of 15 miles per hour. The bus then made a lunch stop in London before continuing its three-hour tour of the city's attractions at a 10 mph speed. The bus finally departed the city and made a direct 40-mile trip back to the motel. After leaving London, Clarissa arrived at her accommodation in exactly two hours. What was the approximate average speed of the bus throughout the trip?

Accepted Answer

14

Answer

30

Answer

21

Answer

25

Answer

8

Question 5

Meredith jogged at an average speed of six miles per hour to the top of the hill. She returned down the same path. She was relieved to find that the descent was swifter, and her average speed increased to 14 miles per hour. How many miles, roughly, is the route one way if the entire run took Meredith exactly an hour to complete and she did not stop at any points?

Accepted Answer

4

Answer

5

Answer

2

Answer

6

Answer

3

Question 6

Nine medical professionals are managing many clinical studies at a medical research facility. Three physicians are engaged in a clinical trial with precisely two other physicians, while six physicians are engaged in a clinical trial with precisely one other physician. What is the likelihood that two doctors who are randomly chosen from the lab will NOT be collaborating on a clinical trial?

Accepted Answer

10/12

Answer

2/12

Answer

1/12

Answer

7/12

Answer

5/12

Question 7

A circle with the center P has the rectangle LMNO engraved in it. What is the approximate circumference of the circle if the width of the rectangle is 8 times its length and the distance between P and side LM is 3?

Accepted Answer

30

Answer

45

Answer

10

Answer

75

Answer

5

Question 8

For the first x hours of grass cutting, Larry's Lawn Service will charge $w/hour. Thereafter, the company will charge $w + $2 for each additional hour of service. If z > x, how much extra will a homeowner be charged for a job that took z hours compared to one that only took w hours if x w z?

Accepted Answer

Answer

w(x + z) + x

Answer

(w + 2) – zx

Answer

xw + 2 – (z – w)

Question 9

At the jewelry store, Lady Edith purchased numerous necklaces, each of which cost sixteen dollars. Additionally, Lady Mary spent $20 on a number of bracelets. What is the average price of the necklaces Lady Edith and Lady Mary bought, if the ratio of necklaces Lady Edith bought to necklaces Lady Mary bought was 3 to 2?

Accepted Answer

17.6

Answer

18.2

Answer

16.7

Answer

17.1

Answer

17.9

Question 10

Richard, Jared, and Matthew all purchased bouquets. The quantity of flowers Matthew bought was a single figure. Only one of the quantities of flowers that Matthew, Jared, and Richard bought could be divided by three. An even amount of flowers were purchased by one of them. Which of the following could be used to show how many flowers each person bought?

Accepted Answer

Answer

3, 8, 24

Answer

7, 9, 17

Answer

6, 9, 12

Answer

5, 15, 18

Answer

9, 10, 13

There is growth at the City Opera House.The opera theater is currently located on a rectangular city block with a total volume of 9600 ft.What would the additional volume be if the extended Opera House was 2.5 times as long, broad, and deep as the original structure?

There is growth at the City Opera House.
The opera theater is currently located on a rectangular city block with a total volume of 9600 ft.
What would the additional volume be if the extended Opera House was 2.5 times as long, broad, and deep as the original structure?