]> ETS :: Praxis TAAG :: Middle School Mathematics (0069)

# Middle School Mathematics (0069)

## Sample Test Questions

Current section: Multiple Choice > Questions

The sample questions that follow illustrate the kinds of questions in the test. They are not, however, representative of the entire scope of the test in either content or difficulty. Answers with explanations follow the questions.

Directions:  Each of the questions or statements below is followed by four suggested answers or completions. Select the one that is best in each case.

1. x y
–4 –2
–3 $–\frac{3}{2}$
–2 –1
–1 $–\frac{1}{2}$
0 0

Which of the following is true about the data in the table above?

1. As x decreases, y increases.
2. As x increases, y does not change.
3. As x increases, y decreases.
4. As x increases, y increases.
2. The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number?

1. 10
2. 100
3. 1,000
4. 10,000
3. If there are exactly 5 times as many children as adults at a show, which of the following CANNOT be the number of people at the show?

1. 102
2. 80
3. 36
4. 30
4. The original price of a certain car was 25 percent greater than its cost to the dealer. The actual selling price was 25 percent less than the original price. If c is the cost of the car to the dealer and p is the selling price, which of the following represents p in terms of c?

1. p = 1.00c
2. p = 1.25c
3. p = 0.25(0.75c)
4. p = 0.75(1.25c)

5. Which figure below results if right triangle ABC above is flipped (reflected) across the y-axis and then turned (rotated) clockwise about point C' by 90 degrees?

6. The large rectangular block pictured above was made by stacking smaller blocks, all of which are the same size. What are the dimensions in centimeters of each of the smaller blocks?

1. 3 × 2 × 3
2. 3 × 3 × 3
3. 3 × 4 × 3
4. 4 × 4 × 3

7. In the figure above, line l and line p are parallel and y = 3x. What is the value of x ?

1. 30
2. 45
3. 60
4. 75

8. A square is inscribed in each of the circles above. The radius of circle A is 1, and the radius of circle B is 2. What is the ratio of the area of the square inscribed in circle A to the area of the square inscribed in circle B?

1. 1: $\sqrt{2}$
2. 1:2
3. 1:2$\sqrt{2}$
4. 1:4
9. Which of the following defines y as a function of x ?

1. xy2 = 4
2. x2 + y2 = 4
3. y = x2 + 2
4. y < x + 1
10. A taxi ride costs \$2.50 for the first $\frac{1}{4}$ mile or fraction thereof plus \$0.50 for each additional $\frac{1}{4}$ mile or fraction thereof. Which of the following graphs represents the total cost of a ride as a function of distance traveled?

11. In a class of 29 children, each of 20 children has a dog and each of 15 has a cat. How many of the children have both a dog and a cat?

1. None of the children necessarily has both.
2. Exactly 5
3. Exactly 6
4. At least 6 and at most 15

12. The graph above shows the distribution of the content, by weight, of a county's trash. If approximately 60 tons of the trash consists of paper, approximately how many tons of the trash consists of plastics?

1. 24
2. 20
3. 15
4. 12

Questions 13-14 refer to the following graph.

1. In how many of the years shown were there more than twice as many students in medical schools as there were in 1950?

1. None
2. One
3. Two
4. Three
2. The number of students in medical schools increased by approximately what percent from 1970 to 1980?

1. 75%
2. 60%
3. 50%
4. 45%
3. In order to estimate the population of snails in a certain woodland, a biologist captured and marked 84 snails that were then released back into the woodland. Fifteen days later the biologist captured 90 snails from the woodland, 12 of which bore the markings of the previously captured snails.

If all of the marked snails were still active in the woodland when the second group of snails were captured, what should the biologist estimate the snail population to be, based on the probabilities suggested by this experiment?

1. 630
2. 1,010
3. 1,040
4. 1,080
4. If a student takes a test consisting of 20 true-false questions and randomly guesses at all of the answers, what is the probability that all 20 guesses will be correct?

1. 0
2. ${\left(\frac{1}{2}\right)}^{20}$
3. $\frac{1}{2\left(20\right)}$
4. $\frac{1}{2}$

5. ROBIN'S TEST SCORES
88, 86, 98, 92, 90, 86

In an ordered set of numbers, the median is the middle number if there is a middle number; otherwise, the median is the average of the two middle numbers. If Robin had the test scores given in the table above, what was her median score?

1. 89
2. 90
3. 92
4. 95