PRAXIS I -- Math Portion

1) 5 washloads need to be washed. If each load takes 15 minutes to be washed, and the laundry person begins washing 3:20 P.M. and washes continually, at what time will all the loads be finished

1:15 PM

3.35 PM

4.35 PM

5:35 PM

6:15 PM

The laundry person starts washing at 3:20 PM and each load takes 15 minutes to be washed. Therefore, the first load will be finished at 3:35 PM (3:20 PM + 15 minutes). Since there are 5 loads in total, it will take 4 more sets of 15 minutes to finish all the loads (4 x 15 minutes = 60 minutes). Adding this to the time of the first load, we get 3:35 PM + 60 minutes = 4:35 PM. Thus, all the loads will be finished at 4:35 PM.

Explanation

The laundry person starts washing at 3:20 PM and each load takes 15 minutes to be washed. Therefore, the first load will be finished at 3:35 PM (3:20 PM + 15 minutes). Since there are 5 loads in total, it will take 4 more sets of 15 minutes to finish all the loads (4 x 15 minutes = 60 minutes). Adding this to the time of the first load, we get 3:35 PM + 60 minutes = 4:35 PM. Thus, all the loads will be finished at 4:35 PM.

2) Which of the following most closely approximates 3/8

0.25

0.38

0.46

0.50

0.83

The number that most closely approximates 3/8 is 0.38. This is because 3/8 is slightly less than 0.5, and 0.38 is the closest option to 0.5.

Explanation

The number that most closely approximates 3/8 is 0.38. This is because 3/8 is slightly less than 0.5, and 0.38 is the closest option to 0.5.

3) Rounded to the nearest hundredth, 294.3549 would be expressed

0.35

0.36

294.35

294.36

300.00

Rounding to the nearest hundredth means rounding to the second decimal place. In this case, the number 294.3549 has a digit in the third decimal place (4), which is less than 5. Therefore, we do not round up. The second decimal place (5) remains unchanged, and all the digits after that are dropped. So, rounded to the nearest hundredth, 294.3549 would be expressed as 294.35.

Explanation

Rounding to the nearest hundredth means rounding to the second decimal place. In this case, the number 294.3549 has a digit in the third decimal place (4), which is less than 5. Therefore, we do not round up. The second decimal place (5) remains unchanged, and all the digits after that are dropped. So, rounded to the nearest hundredth, 294.3549 would be expressed as 294.35.

4) If the perimeter of a square is 20 inches, what is its area in square inches?

50

49

36

25

9

The perimeter of a square is the sum of all its sides. In this case, the perimeter is given as 20 inches. Since a square has all sides equal in length, each side of the square would be 20/4 = 5 inches. The area of a square is found by multiplying the length of one side by itself. Therefore, the area of the square would be 5 * 5 = 25 square inches.

Explanation

The perimeter of a square is the sum of all its sides. In this case, the perimeter is given as 20 inches. Since a square has all sides equal in length, each side of the square would be 20/4 = 5 inches. The area of a square is found by multiplying the length of one side by itself. Therefore, the area of the square would be 5 * 5 = 25 square inches.

5) There are 42 marbles in a napsack. of 2 different colors. 7 of the marbles in the bag are Red, and the rest are blue. What is the ratio of blue to red marbles

42:7

7:35

35:42

1:4

35:7

The ratio of blue to red marbles is 35:7. This is because there are 35 blue marbles and 7 red marbles in the bag.

Explanation

The ratio of blue to red marbles is 35:7. This is because there are 35 blue marbles and 7 red marbles in the bag.

6) What is 75% as a ratio. **Hint 75:100

3/4

4:3

5/8

8:6

3:4

The correct answer is 3:4 because when we convert a percentage to a ratio, we can use the given hint which states that 75% is equal to 75:100. To simplify this ratio, we can divide both the numerator and denominator by 25, resulting in 3:4.

Explanation

The correct answer is 3:4 because when we convert a percentage to a ratio, we can use the given hint which states that 75% is equal to 75:100. To simplify this ratio, we can divide both the numerator and denominator by 25, resulting in 3:4.

7) Which of the following expressions is NOT equivalent to the others?

3 to the third power x 4 x 5

2 to the second power x 5 x 27

3 to the second power x 7 x 12

2 to the second power x 15 x 9

3 to the second power x 6 x 10

The given expressions are all multiplication problems involving different numbers. The correct answer is "3 to the second power x 7 x 12" because it is the only expression that does not involve the number 2.

Explanation

The given expressions are all multiplication problems involving different numbers. The correct answer is "3 to the second power x 7 x 12" because it is the only expression that does not involve the number 2.

8) Helen bought three times as many carnations as roses. If roses cost $1 each, and carnations cost 50 cents each, and she spent a total of $7.50 for the flowers, how many roses did she purchase.

2

3

4

5

6

Let's assume that Helen bought x roses. Since she bought three times as many carnations as roses, she bought 3x carnations. The cost of x roses is $1x, and the cost of 3x carnations is $0.50(3x) = $1.50x. The total cost of the flowers is $7.50, so we can set up the equation 1x + 1.50x = 7.50. Simplifying this equation, we get 2.50x = 7.50. Dividing both sides by 2.50, we find that x = 3. Therefore, Helen purchased 3 roses.

Explanation

Let's assume that Helen bought x roses. Since she bought three times as many carnations as roses, she bought 3x carnations. The cost of x roses is $1x, and the cost of 3x carnations is $0.50(3x) = $1.50x. The total cost of the flowers is $7.50, so we can set up the equation 1x + 1.50x = 7.50. Simplifying this equation, we get 2.50x = 7.50. Dividing both sides by 2.50, we find that x = 3. Therefore, Helen purchased 3 roses.

9) If there are 603 pebbles within a shellfish, and three-hundred and eighty three of them are embedded ruby beads, how many of them would be bronze. there are 5 times as many gold ones as bronze.

30

25

40

20

5

There are 603 pebbles in total, and 383 of them are embedded ruby beads. This means that the remaining pebbles must be bronze or gold. The question states that there are 5 times as many gold ones as bronze. Let's assume the number of bronze pebbles is x. Therefore, the number of gold pebbles would be 5x. The total number of pebbles can be expressed as x (bronze) + 5x (gold) + 383 (ruby beads). We know that the total number of pebbles is 603, so we can set up the equation: x + 5x + 383 = 603. Solving this equation gives us x = 40, which means there are 40 bronze pebbles.

Explanation

There are 603 pebbles in total, and 383 of them are embedded ruby beads. This means that the remaining pebbles must be bronze or gold. The question states that there are 5 times as many gold ones as bronze. Let's assume the number of bronze pebbles is x. Therefore, the number of gold pebbles would be 5x. The total number of pebbles can be expressed as x (bronze) + 5x (gold) + 383 (ruby beads). We know that the total number of pebbles is 603, so we can set up the equation: x + 5x + 383 = 603. Solving this equation gives us x = 40, which means there are 40 bronze pebbles.