Act - Pre-Algebra Practice Questions

Front 1

What is the smallest integer that is greater than:
3(1/2 + 1/3 + 1/4)

1. 1
2. 2
3. 3
4. 4
5. 5

Back 1

4. 4

Hint 1

None

Front 2

If b = 1/3, and if m and n are positive integers, which of the following has the greatest value?
1. b^m-n
2. b^m+n
3. (b^m)(b^2n)
4. B^mn
5. Cannot be determined

Back 2

1. b^m-n

Hint 2

A fraction raised to the smallest number will have the greatest value

Front 3

If x and y are odd positive integers, which of the following must be even?

I. x + y
II. x^(y+1)
III. x(y + 1)

1. I only
2. II only
3. I and III
4. II and III
5. I, II and III

Back 3

3. I and III

Hint 3

None

Front 4

The sum of three consecutive integers is four times the first integer. What is the last of the three integers?
1. 5
2. 4
3. 3
4. 2
5. 1

Back 4

1. 5

Hint 4

None

Front 5

What is the value of 5²2³5³2²?
1. 10,000
2. 62,500
3. 100,000
4. 625,000
5. 1,000,000

Back 5

3. 100,000

Hint 5

Rearrange terms and combine like exponents

Front 6

What is the greatest common factor of 60 and 84?
1. 6
2. 12
3. 16
4. 18
5. 24

Back 6

2. 12

Hint 6

None

Front 7

What is the value of
3 1/2 + 7/4 + 6/8?

1. 6.25
2. 6.0
3. 5.5
4. 4.75
5. 4.0

Back 7

2. 6.0

Hint 7

Change the fracions to decimals

Front 8

What is the value of
1/2 + 1/4 + 1/8?

1. 3/8
2. 2/4
3. 5/8
4. 3/4
5. 7/8

Back 8

5. 7/8

Hint 8

None

Front 9

What is the mean of the following five numbers:
-8, -6, 3, 7, and 19?

1. 1.0
2. 1.6
3. 2.0
4. 2.6
5. 3.0

Back 9

5. 3.0

Hint 9

None

Front 10

Let x@y be defined for all x,y as 3x + 2y.

What is the value of 9@4?

1. 30
2. 32
3. 35
4. 38
5. 40

Back 10

3. 35

Hint 10

None

Front 11

Let u@v be defined for all u,v as u² - v²

What is the value of 5@3?

1. 16
2. 20
3. 25
4. 32
5. 36

Back 11

1. 16

Hint 11

None

Front 12

If a is positive, and if a^1/2 is greater than a, then what is one possible value for a?

1. 0.0
2. 0.5
3. 1.0
4. 1.5
5. 4.0

Back 12

2. 0.5

Hint 12

None

Front 13

How many positive integers less than 62 have 8 as a factor?
1. 9
2. 8
3. 7
4. 6
5. 2

Back 13

3. 7

Hint 13

None

Front 14

What is the value of 2*5*2*5*2*5*2*5?
1. 100
2. 625
3. 1000
4. 10,000
5. 15,000

Back 14

4. 10,000

Hint 14

None

Front 15

The product of 89 and 91 is closest to ______.
1. 810
2. 900
3. 8000
4. 8100
5. 18,000

Back 15

4. 8100

Hint 15

None

Front 16

What is the value of
(1 + 5/8)(1 - 5/8)?
1. 5/13
2. 39/64
3. 13/5
4. 64/13
5. 39/8

Back 16

2. 39/64

Hint 16

None

Front 17

Set S = {-2, -1, 1, 2}
Set T = {-2, -1, 0, 1, 2}

What is the value of the mean of set S minus the mean of set T?

1. -2
2. -4/5
3. 0
4. 4/5
5. 1

Back 17

3. 0

Hint 17

None

Front 18

The smallest number which has both 7 and 21 as factors is:
1. 21
2. 63
3. 72
4. 147
5. 294

Back 18

1. 21

Hint 18

None

Front 19

What is 30% of 60?
1. .18
2. 1.8
3. 18
4. 180

Back 19

3. 18

Hint 19

Percentage formula: Y% of X= Y/100 x X

Front 20

What % of 120 is 10?
1. .83333%
2. 8.3333%
3. 83.333%
4. 833.33

Back 20

2. 8.3333%

Hint 20

Percentage formula: Y% of X= Y/100 x X

Front 21

A class is divided so that one fifth of students take auto shop and the rest take woodwork. If one student moves from the woodwork group to the auto shop group, what is the percentage of students in the class taking auto shop?
1. 19
2. 20
3. 21
4. 25
5. Not enough information

Back 21

5. Not enough information

Hint 21

None

Front 22

For which of the following is the sum of the digits in the tenths and hundredths places the greatest?
1. 510.823
2. 620.439
3. 126.750
4. 982.453
5. 563.929

Back 22

3. 126.750

Hint 22

None

Front 23

Eight houses on a single block are each sold over the course of a year. Two houses sold for $100,000, three sold for $120,000 and two sold for $140,000. The mean sales price was $130,000. What was the sale price of the remaining house?
1. 140,000
2. 150,000
3. 180,000
4. 200,000

Back 23

4. 200,000

Hint 23

None