Practice Test GeeksPRAXIS Practice Test
← All PRAXIS Flashcard Decks

Mathematics Flashcards

15 cards from real PRAXIS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 15 Mathematics flashcards as text

  1. If Edgar eats 8 2/3 doughnuts in a week and Ellen eats 4 ½ doughnuts in a week, how many more doughnuts will Edgar have eaten?

    Answer: 4 1/6

    To find out how many more doughnuts Edgar ate, subtract Ellen's amount from Edgar's: 8 2/3 - 4 1/2. Convert these mixed numbers to improper fractions: 26/3 - 9/2. Find a common denominator, which is 6, making the fractions 52/6 - 27/6. Subtracting gives 25/6, which converts back to the mixed number 4 1/6.

  2. If Isaac scored 16 points in the first half of a basketball game and half as many in the second half, how many did he score in the game in all?

    Answer: 24

    Isaac scored 16 points in the first half. In the second half, he scored half as many points, which is 16 / 2 = 8 points. To find his total score for the game, add the points from both halves: 16 + 8 = 24 points. Isaac scored 24 points in total.

  3. A shirt that was selling for $24 has had its price reduced by 15%. How much does it cost now?

    Answer: $20.40

    To find the new price, first calculate the amount of the discount. 15% of $24 is 0.15 * $24 = $3.60. Then, subtract the discount from the original price: $24 - $3.60 = $20.40. Alternatively, if the price is reduced by 15%, the new price is 85% of the original price, so 0.85 * $24 = $20.40.

  4. If the value of x is between 0.00776 and 0.0506, which of the following number could be x?

    Answer: 0.008

    The value of x must be greater than 0.00776 and less than 0.0506. Let's evaluate the given options. 0.008 is indeed greater than 0.00776 and less than 0.0506, making it a possible value for x. The other options are either too large (0.890) or too small (0.0008).

  5. George buys 6 t-shirts for $5 each and 4 pairs of jeans for $8.50 each. He uses the following expression to calculate the total amount of money spent: 6 (5) + 4 (8.5). Which of the following expressions could George also have used?

    Answer: 4 (5 + 8.5) + 2 (5)

    George's original expression is 6(5) + 4(8.5). We need to find an equivalent expression. Option B, 4(5 + 8.5) + 2(5), expands to 4(5) + 4(8.5) + 2(5). Combining the terms with 5, we get (4+2)(5) + 4(8.5), which simplifies to 6(5) + 4(8.5), matching the original expression.

  6. Don gets paid $9 an hour, but if he works more than 30 hours in a week his rate of pay is increased by ½. How much would Don get paid for a 38-hour work week?

    Answer: $378

    Don works 30 hours at his regular rate of $9/hour, earning 30 * $9 = $270. He works an additional 8 hours (38 - 30) at an increased rate. His increased rate is $9 + ($9 * 0.5) = $9 + $4.50 = $13.50/hour. For the overtime hours, he earns 8 * $13.50 = $108. His total pay is $270 + $108 = $378.

  7. What percent of 38 is 16?

    Answer: 42%

    To find what percent of 38 is 16, set up the equation: (Part / Whole) * 100% = Percentage. Here, the part is 16 and the whole is 38. So, (16 / 38) * 100%. Dividing 16 by 38 gives approximately 0.42105. Multiplying by 100% yields about 42.105%, which rounds to 42%.

  8. Solve: 3/5 - (-2) =

    Answer: 13/5

    The problem involves subtracting a negative number, which is equivalent to adding its positive counterpart. Therefore, 3/5 - (-2) becomes 3/5 + 2. To combine these, convert the whole number 2 into a fraction with a common denominator of 5, making it 10/5. Adding 3/5 and 10/5 results in 13/5.

  9. Solve 3 1/5 x 5 =

    Answer: 16

    To solve this multiplication problem, first convert the mixed number 3 1/5 into an improper fraction. This is done by multiplying the whole number (3) by the denominator (5) and adding the numerator (1), keeping the same denominator, which yields 16/5. Then, multiply 16/5 by 5. The 5 in the numerator and the 5 in the denominator cancel each other out, leaving 16 as the result.

  10. The five starters on a basketball team each scored at least 5 points and no more than 17 points in a basketball game. Which of the following values is a reasonable estimate of the average score of each player?

    Answer: 12

    The problem states that each player scored between 5 and 17 points, inclusive. Therefore, the average score must also fall within this range. Options A (20) and B (22) are both outside the possible range of scores. Option C (12) is within the range and is a reasonable estimate, being close to the midpoint of the scoring range (which is 11).

  11. Identify the missing term in the following geometric progression: 16, -4, 1, -¼ ....

    Answer: 1/16

    In a geometric progression, each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. To find the common ratio, divide any term by its preceding term: -4/16 = -1/4. To find the next term, multiply the last given term, -1/4, by the common ratio -1/4, which results in 1/16.

  12. What is the volume of rectangular solid that is 8 inches long, 6 inches wide, and 4 inches tall?

    Answer: 192 cubic inches

    The volume of a rectangular solid is calculated by multiplying its length, width, and height. In this case, the dimensions are 8 inches long, 6 inches wide, and 4 inches tall. Multiplying these values (8 * 6 * 4) gives a total of 192. The unit for volume is cubic inches, reflecting the three-dimensional nature of the measurement.

  13. Which of the following units of measurement could no be used to report the length of a pencil?

    Answer: liters

    Length is a one-dimensional measurement. Millimeters are units used to measure length. Liters, however, are units used to measure volume or capacity, typically for liquids. Therefore, liters cannot be used to report the length of a pencil, as they describe the amount of space a substance occupies, not its linear dimension.

  14. 12 x -4x + 8 =

    Answer: 8x + 8

    Assuming the problem intended to be `12x - 4x + 8` (as the 'x' between 12 and -4x is likely a typo for a subtraction sign, given the answer), the solution involves combining like terms. The terms `12x` and `-4x` are like terms because they both contain the variable `x` raised to the same power. Subtracting `4x` from `12x` yields `8x`. The constant term `+8` remains unchanged, resulting in the simplified expression `8x + 8`.

  15. If 5x + 7 =8x - 2, then

    Answer: x = 3

    To solve the equation 5x + 7 = 8x - 2, the goal is to isolate the variable x. First, subtract 5x from both sides of the equation, resulting in 7 = 3x - 2. Next, add 2 to both sides to move the constant term, yielding 9 = 3x. Finally, divide both sides by 3 to find the value of x, which is 3.