Free Printable ACT Math Week 1 Competition

1.

Kaya ran $1\ \frac{2}{5}$ miles on Monday and $2\ \frac{1}{3}$ miles on Tuesday. What was the total distance, in miles, Kaya ran during those 2 days?

a)

$3\ \frac{2}{15}$

b)

$3\ \frac{3}{8}$

c)

$3\ \frac{2}{5}$

d)

$3\ \frac{7}{15}$

e)

$3\ \frac{11}{15}$

2.

$3x^3\ \cdot\ 2x^2y\ \cdot\ 4x^2y$

a)

$9x^7y^2$

b)

$9x^{12}y^2$

c)

$24x^7y^2$

d)

$24x^{12}y$

e)

$24x^{12}y^2$

3.

Mr Dietz is a teacher whose salary is $22, 570 for this school year which has 185 days. In Mr. Dietz's school district, substitute teachers are paid $80 per day. If Mr. Dietz takes a day off without pay and a substitute teacher is paid to teach Mr. Dietz's classes, how much less does the school pay in salary by paying a substitute teacher instead of paying Mr. Dietz for that day?

a)

$42

b)

$80

c)

$97

d)

$105

e)

$122

4.

So far a student has earned the following scores on four 100-point tests this grading period: 65, 73, 81, and 82. What score must the student earn on the fifth and final 100 point test of the grading period to earn an average test grade of 80 for the 5 tests?

a)

75

b)

76

c)

78

d)

99

e)

The student cannot earn an average of 80.

5.

The oxygen saturation level of a river is found by dividing the amount of dissolved oxygen the river water currently has per liter by the dissolved oxygen capacity per liter of the water and then converting to a percent. If the river currently has 7.3 milligrams of dissolved oxygen per liter of water and the dissolved oxygen capacity is 9.8 milligrams per liter, what is the oxygen saturation level, to the nearest percent?

a)

34%

b)

70%

c)

73%

d)

74%

e)

98%

6.

A rectangular lot that measures 150 ft. by 200 ft. is completely fenced. What is the approximate length, in feet of the fence?

a)

300

b)

350

c)

400

d)

700

e)

1400

7.

The expression $a\left[b\ +\left(c-d\right)\right]$ is equivalent to:

a)

ab + ac - ad

b)

ab + ac + ad

c)

ab + ac - d

d)

ab + c + d

e)

ab + c - d

8.

If 4x +3 = 9x - 4, then x = ?

a)

$\frac{7}{5}$

b)

$\frac{5}{7}$

c)

$\frac{7}{13}$

d)

$\frac{1}{5}$

e)

$-\ \frac{1}{5}$

9.

What 2 numbers should be placed in the blanks below so that the difference between consecutive numbers is the same?
17, ___, ___, 41

a)

23, 29

b)

24, 34

c)

25, 33

d)

26, 35

e)

27, 31

10.

If x is a real number such that $x^3$ = 64, then $x^2\ +\ \sqrt{x}$ = ?

a)

4

b)

10

c)

18

d)

20

e)

47

ACT Math Week 1 Competition

Total questions: 10

Worksheet time: 10mins

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