CPAt Numerical Skills Practice

1. Teresa received test scores of 85, 74, 86, and 91. What is Teresa's test average?
A: 82
B: 90
C: 85
D: 84

2. 1/3 + ¾ + ½ =
A: 20/12
B: 4/3
C: 1 7/12
D: 1 1/2

3. 4(3 + 5)² =
A: 1024
B: 3136
C: 724
D: 256

4. 2 ¾ - 1.58 =
A: 1 1/2
B: 1.17
C: 1.25
D: 1.27

5. Which of the following is larger than 5/8?
A: 0.6
B: 3/5
C: 0.65
D: 55%

6. Ingrid has a sock drawer with 17 unmatched socks: 6 green socks, 6 blue socks, and 5 red socks. She reaches into the drawer without looking and picks out two socks. If one of the socks is red, what are the chances of the other sock being red as well?
A: 1 in 4
B: 1 in 3
C: 1 in 6
D: 1 in 5

7. If Jake drives for 3.5 hours at an average speed of 55 miles per hour, how far has he driven?
A: 202.5 miles
B: 180 miles
C: 192.5 miles
D: 176 miles

8. What is the next number in the series: 2, -4, 8, -16,____?
A: -32
B: -24
C: 32
D: 24

9. The sum of three consecutive integers is 24. What is the product of these three integers?
A: 336
B: 504
C: 484
D: 528

10. Tim is 3 times older than his brother Danny, who is 6. How old will Tim be when Danny is half his age?
A: 8
B: 30
C: 28
D: 24

Answer Key

1. D. Add the test scores together and divide the sum by 4.

2. C. Adjust the fractions so that they have the common denominator 12.

3. D. Remember the order of operations: parentheses, then exponents, then multiplication.

4. B. Convert the fraction into the decimal 2.75.

5. C. Determine the decimal value of 5/8 by dividing the numerator by the denominator.

6. A. Excluding the first sock, there will be 4 red socks among the 16 socks remaining.

7. C. Multiply Jake's speed by the length of time he has been driving.

8. C. Each successive number in the series is determined by multiplying the previous number by -2.

9. B. Find the three integers through trial-and-error, and then multiply them all together.

10. D. Find Tim's original age by multiplying Danny's age by 3. Tim is 12 years older than Danny, so he will be twice as old as Danny when Danny is twelve.

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