33. (403 × 163) − 678 =
a. 11,003
b. 34,772
c. 65,011
d. 67,020
34. (500 ÷ 20) + 76 =
a. 221
b. 201
c. 121
d. 101
35. 604 − 204 ÷ 2 =
a. 502
b. 301
c. 201
d. 101
36. 604 − (202 ÷ 2) =
a. 201
b. 302
c. 402
d. 503
37. 37 × 60 × 3 =
a. 3,660
b. 4,990
c. 5,760
d. 6,660
38. 12(9 × 4) =
a. 432
b. 336
c. 108
d. 72
39. Which of the following expressions are equal to
40,503?
a. 400 + 50 + 3
b. 4000 + 500 + 3
c. 40,000 + 50 + 3
d. 40,000 + 500 + 3
40. Which of the following choices is divisible by
both 7 and 8?
a. 42
b. 78
c. 112
d. 128
41. Which of the following numbers is represented
by the prime factors 2 × 3 × 7?
a. 21
b. 42
c. 84
d. 237
42. 184 is evenly divisible by
a. 46
b. 43
c. 41
d. 40
43. 4 pounds 14 ounces − 3 pounds 12 ounces =
a. 2 pounds 2 ounces
b. 1 pound 12 ounces
c. 1 pound 2 ounces
d. 14 ounces
44. 3 hours 20 minutes − 1 hour 48 minutes =
a. 5 hours 8 minutes
b. 4 hours 8 minutes
c. 2 hours 28 minutes
d. 1 hour 32 minutes
45. The average of 54, 61, 70, and 75 is
a. 55
b. 62
c. 65
d. 68
46. 52,830 ÷ 9 =
a. 5,870
b. 5,820
c. 5,826
d. 5,871
47. 2 feet 4 inches + 4 feet 8 inches =
a. 6 feet 8 inches
b. 7 feet
c. 7 feet 12 inches
d. 8 feet
48. 1 hour 20 minutes + 3 hours 30 minutes =
a. 4 hours
b. 4 hours 20 minutes
c. 4 hours 50 minutes
d. 5 hours
Answers:
33. c. First multiply, then subtract The correct
answer is 65,011.
34. d. Divide first, then add. The correct answer is
101.
35. a. In spite of the sequence presented, in this
problem you must divide first: 204 ÷ 2 = 102.
Now subtract 102 from 604: 604 – 102 = 502.
The correct answer is 502.When an expression
involves more than one operation, you need to
follow the correct order of operations: 1)
Operations in Parentheses; 2) Exponents; 3)
Multiplication and Division in order from left
to right; 4) Addition and Subtraction in order
from left to right. A good device for remembering
this order is saying: Please Excuse My
Dear Aunt Sally.
36. d. Do the operation in parentheses first:
202 ÷ 2 = 101; then subtract the answer from
604: 604 − 101 = 503.
37. d.Multiply twice. The correct answer is 6,660.
38. a. It is a good idea to develop the habit of
always performing operations in parentheses
first, even though in this case it doesn’t matter
because all the operations are multiplication.
Multiply 9 × 4 = 36, then multiply again:
36 × 12 = 432.
39. d. Use the place value of each of the non-zero
numbers. The 4 is in the ten thousands place
so it is equal to 40,000, the 5 is in the hundreds
place so it is equal to 500, and the 3 is in the
ones place so it is equal to 3; 40,000 + 500 + 3
= 40,503.
40. c. 112 is divisible by both 7 and 8 because each
can divide into 112 without a remainder; 112
÷ 7 = 16 and 112 ÷ 8 = 14. Choice a is only
divisible by 7, choice b is not divisible by
either, and choice d is only divisible by 8.
41. b. A prime number is a whole number whose
only factors are 1 and itself. Two, three and
seven are all prime numbers. The prime factors
of a number are the prime numbers that
multiply to equal that number. 2 times 3 times
7 is equal to 42.
42. a. 46 goes into 184 four times. The other
choices cannot be divided evenly into 184.
43. c. Subtract the pounds first, then the ounces.
44. d. You must “borrow” 60 minutes from the 3
hours in order to be able to subtract.
45. c. Add the four numbers together to get 260,
then divide by 4 to get 65.
46. a. If you got a different answer, you probably
made an error in your division.
47. b. Add the feet first, then the inches: 2 feet + 4
feet = 6 feet; 4 inches + 8 inches = 12 inches.
Convert 12 inches into 1 foot to get the correct
answer 6 feet + 1 foot = 7 feet.
48. c. Add the hours first, then the minutes: 1
hour + 3 hours = 4 hours. 20 minutes + 30
minutes = 50 minutes. Combine: 4 hours 50
minutes.
