ASTB MATH PRACTICE EXAMINATIN
TEST QUESTIONS AND ANSWERS
Jane received grades of 93, 82, and 72 on three tests. What grade must she receive on
the next test so that her average for these four tests is 85?
a. 88
b. 89
c. 90
d. 93 - Answer-d. 93
Jane's current test grades total 247: 93 + 82 + 72 = 247. To average 85, Jane's grades
must total 340: 85 × 4 = 340. To raise her average grade, Jane must earn 93 on the
next test: 340 - 247 = 93.
A family drove from New York to San Francisco, a distance of 3,000 miles. They drove
1/8th of the distance the first day and 1/7th of the remaining distance the second day.
How many miles were left to be driven?
a. 2,200 miles
b. 2,250 miles
c. 2,400 miles
d. 2,500 miles - Answer-b. 2,250 miles
1/8 of 3000=375
3000-375=2625
1/7 of 2625=375
2625-375=2250
2250 miles still to be driven
, In a 4-hour examination of 420 questions, there are 60 mathematics problems. If twice
as much time should be allowed for each mathematics problem as for each of the other
questions, how many minutes should be spent on the mathematics problems?
a. 60 minutes
b. 65 minutes
c. 70 minutes
d. 75 minutes - Answer-a. 60 minutes
Let x = minutes to be spent on each math problem.
X×60 + X/2 × 360 =240
60X+180X=240
240X=240
x=1
1,000,000 may be represented as
a. 10⁴
b. 10⁵
c. 10⁶
d. 10⁷ - Answer-c. 10⁶
10 × 10 × 10 × 10 × 10 × 10 = 1,000,000, or 10 raised to the 6th power.
If a = 4b and 8b = 30c, then a =
a. 6c
b. 9c
c. 12c
d. 15c - Answer-d. 15c
TEST QUESTIONS AND ANSWERS
Jane received grades of 93, 82, and 72 on three tests. What grade must she receive on
the next test so that her average for these four tests is 85?
a. 88
b. 89
c. 90
d. 93 - Answer-d. 93
Jane's current test grades total 247: 93 + 82 + 72 = 247. To average 85, Jane's grades
must total 340: 85 × 4 = 340. To raise her average grade, Jane must earn 93 on the
next test: 340 - 247 = 93.
A family drove from New York to San Francisco, a distance of 3,000 miles. They drove
1/8th of the distance the first day and 1/7th of the remaining distance the second day.
How many miles were left to be driven?
a. 2,200 miles
b. 2,250 miles
c. 2,400 miles
d. 2,500 miles - Answer-b. 2,250 miles
1/8 of 3000=375
3000-375=2625
1/7 of 2625=375
2625-375=2250
2250 miles still to be driven
, In a 4-hour examination of 420 questions, there are 60 mathematics problems. If twice
as much time should be allowed for each mathematics problem as for each of the other
questions, how many minutes should be spent on the mathematics problems?
a. 60 minutes
b. 65 minutes
c. 70 minutes
d. 75 minutes - Answer-a. 60 minutes
Let x = minutes to be spent on each math problem.
X×60 + X/2 × 360 =240
60X+180X=240
240X=240
x=1
1,000,000 may be represented as
a. 10⁴
b. 10⁵
c. 10⁶
d. 10⁷ - Answer-c. 10⁶
10 × 10 × 10 × 10 × 10 × 10 = 1,000,000, or 10 raised to the 6th power.
If a = 4b and 8b = 30c, then a =
a. 6c
b. 9c
c. 12c
d. 15c - Answer-d. 15c
