FREE PACT Mathematics Questions and Answers

Question 1

Sean and Hillary are baking cookies for a bake sale. Sean baked 48 chocolate chip cookies, and Hillary baked 36 sugar cookies. If 50 cookies were sold altogether, how many were left over at the end of the bake sale?

Accepted Answer

34 cookies

Answer

Explanation:
First, write an equation to represent the word problem. This scenario can be represented by the equation 48 + 36 - 50 = ______. First, add the first two integers in the problem, 48 and 36. Write the problem vertically, making sure to line up the numbers according to place value. Start by adding the ones column to the right. Since 8 + 6 = 14, write 4 in the ones place as part of the answer and carry the 1 over to the tens place column. Next, add the tens column. Since 1 + 4 + 3 = 8, write 8 in the tens place as part of the answer. Therefore, 48 + 36 = 84.

From here, subtract the next integer from the original problem, 50, from 84. Write the problem vertically, making sure to line up the numbers according to place value. Start by subtracting the ones column on the right. Since 4 - 0 =4, write 4 in the ones column as part of the answer. From here, move to the tens column and subtract. Since 8 - 5 = 3, write 3 in the tens place as part of the answer, 48 + 36 - 50 = 34. There were 34 cookies left over after the bake sale.

Question 2

Mary's basketball team is losing tonight's game 42-15. Mary scores a three-point shot. How many more three-point shots will someone on her team have to score in order to tie the game?

Accepted Answer

8

Answer

Explanation:
To solve, first add Mary's shot to the score: 42-18. Subtract the figures to see how many points still need to be scored: 42 - 18 = 24. Divide by three, since three points are attained with each shot: 24 ÷ 3 = 8.

Question 3

Put the following decimal numbers in order from least to greatest:

-1.32 0.014 0.31 0.308 -0.42 0

Accepted Answer

-1.32, -0.42, 0, 0.014, 0.308, 0.31

Answer

Explanation:
To order these numbers, first order the negative numbers from least to greatest. Remember, the largest negative number is the smallest.
-1.32, - 0.42

Then, 0 will separate the negative numbers from the positive numbers.

Finally, order the positive numbers from least to greatest.
0.014, 0.308, 0.31

The numbers ordered from least to greatest are: -1.32, - 0.42, 0, 0.014, 0.308, 0.31.

Question 4

Which of the following is an example of the commutative property?

Accepted Answer

8 + 12 = 12 + 8

Answer

Explanation:
An operation is commutative if changing the order of the terms does not change the result. Addition and multiplication are commutative. Therefore, 8 + 12 = 12 + 8 is an example of the commutative property.

Question 5

Which set of numbers shows four factors of 16?

Accepted Answer

16, 32, 48, 64

Answer

Explanation:
Factors are the numbers that when multiplied together provide the result. Zero is not a factor of any number. Answer C provides multiples of 16.

PACT - Pre Admission Content Test Practice Test

PACT - Pre Admission Content Test Practice Test

FREE PACT Mathematics Questions and Answers