5003 Praxis Practice Test
Question 1 of 5.
Which TWO of the following nets are nets for the regular triangular pyramid show?
A
B
C
D
Explanation: Identify nets that form a triangular pyramid by checking for exactly four congruent triangles arranged so three can fold up around a triangular base. A valid net must have one triangle serving as the base and three adjacent triangles connected along its sides to fold into faces meeting at an apex. Examine each net: top-left shows four triangles with three sharing edges of a central triangle, so it folds. Top-right displays a single central triangle with three triangles attached each to one side, which folds into the pyramid. Bottom-left includes extra or misconnected triangles preventing folding; the faces would overlap or leave gaps. Bottom-right fails similarly because connections do not place three triangles around one base triangle. Therefore only the top-left and top-right nets have the required configuration of four triangles arranged so three can fold up to meet at an apex, making them valid nets for a triangular pyramid. B not, as perhaps linear chain. D not proper.
Question 2 of 5.
Students at a local middle school are selling candy bars for a fund-raiser. The candy bars come packaged in cases of 60 bars, and the school makes a $0.75 profit from each candy bar sold. How many cases of candy bars need to be sold for the school to make a profit of $900?
A. 8
B. 12
C. 20
D. 40
Explanation: 900 / 0.75 = 1200 bars; 1200 / 60 = 20 cases. 8 too few. 12 insufficient. 40 excessive. Calculation determines exact need.
Question 3 of 5.
Each of the digits 3. 5. 7, and 8 is written on its own card. The four cards are given to a student, and then the student is asked to use the cards to form the largest three-digit number that is greater than 300 and less than 700. In the number formed, what digit will be in the tens place?
A. 3
B. 5
C. 7
D. 8
Explanation: Largest under 700 over 300: 583, tens 8. Other arrangements smaller. Maximizes by placing highest in higher places.
Question 4 of 5.
A car travels at a constant speed of x miles per hour. Which of the following expressions gives the distance in miles, the car will travel in hours?
A. x+t
B. t+x
C. xt
D. (xt)²
Explanation: Distance = rate * time, xt. Others not formula. Expression computes miles correctly.
Question 5 of 5.
Extract:345.792
In the number shown, which of the following is the value of the underlined digit?
A. 9 × 1 ^ - 2
B. 9 × 10 ^ - 2
C. 9 ×100^ 2
D. 9×1.000^ - 2
Explanation: To find the value of the underlined digit in 345.792, first identify the digit. The underlined digit is 9. Next, determine its place value. The digit 9 is located in the hundredths place, which means it represents parts out of one hundred. Place value positions to the right of the decimal point are tenths, hundredths, thousandths, and so on. Since 9 is in the hundredths place, its value can be expressed as a fraction or as a power of ten. The hundredths place corresponds to on, which is equivalent to 10-2. Therefore, the digit 9 in this position represents 9 * 1/100 or 9 * 10 ^ - 2 When simplified, this equals 0.09. This confirms that the value of the underlined digit is 9 * 10 ^ - 2 which correctly represents its place value. 100