Quiz about ACT Math Review

Question 1

What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?

Accepted Answer

30

Answer

15

Answer

60

Answer

90

Question 2

In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do not come from families with only one child?

Accepted Answer

5,138

Answer

514

Answer

2,202

Answer

7,120

Question 3

What is the slope of  the line perpendicular to the line 3x + 2y = 19?

Accepted Answer

2/3

Answer

-3/2

Answer

-2/3

Answer

3/2

Question 4

1 km = 1000 m
3000 m = _____ ?

Accepted Answer

3 km

Answer

30 km

Answer

0.3 km

Answer

3000 km

Question 5

Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?

Accepted Answer

1 hour and 12 minutes

Answer

50 minutes

Answer

1 hour and 10 minutes

Answer

1 hour and 20 minutes

Question 6

Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?

Accepted Answer

38

Answer

35

Answer

36

Answer

39

Question 7

The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If kis the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?

Accepted Answer

13

Answer

14

Answer

15

Answer

18

Question 8

When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the same number and then multiplied by 11. What is the number?

Accepted Answer

10

Answer

12

Answer

8

Answer

14

Question 9

A square field has an area of 22,500 square feet. To the nearest foot, what is the diagonal distance across the field?

Accepted Answer

212 feet

Answer

150 feet

Answer

178 feet

Answer

260 feet

Question 10

Andrea wants to fill in two sections of her backyard with sod that must be purchased in 2-x-2-foot squares. If the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?

Accepted Answer

1,500

Answer

1,000

Answer

1,250

Answer

2,000

Question 11

If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two numbers?

Accepted Answer

18

Answer

12

Answer

13

Answer

15

Question 12

A rectangular box has two sides whose lengths are 3 centimeters and 9 centimeters and a volume of 135 cm3. What is the area of its largest side?

Accepted Answer

45 cm2

Answer

27 cm2

Answer

36 cm2

Answer

39 cm2

Question 13

What is the x-intercept of a line that passes through the point (3, 4) and has a slope of 2?

Accepted Answer

1

Answer

-2

Answer

-1

Answer

2

Question 14

On his first day working out, Anthony did 30 push-ups. On each successive day, he did exactly 3 more push-ups than on the previous day. After completing his push-ups on the 30th day, how many push-ups had he completed on all 30 days?

Accepted Answer

more than 2,000

Answer

fewer than 500

Answer

between 500 and 1,000

Answer

between 1,500 and 2,000

Question 15

Area of a Triangle

Accepted Answer

A = 1/2bh

Answer

A = 1/2h(b1 + b2)

Answer

A = bh

Question 16

Area of a Parallelogram

Accepted Answer

A = bh

Answer

A = 1/2h(b1 +b2)

Answer

A = 1/2bh

Question 17

Area of a Trapezoid

Accepted Answer

A = 1/2h(b1 + b2)

Answer

A = bh

Answer

A = 1/2bh

Question 18

Area of a Square

Accepted Answer

A = bh

Answer

A = 1/2h(b1 + b2)

Answer

A - 1/2bh

Question 19

^{There are 45 boys and 54 girls in your school's senior class. What is the ratio of boys to girls?}

Accepted Answer

5:6

Answer

1:5

Answer

1:6

Answer

5:11

Question 20

The corner convenience store sells candy bars at 4 for $2.91.  At this price, how much would the store charge for 3 candy bars?

Accepted Answer

$2.18

Answer

$0.73

Answer

$1.11

Answer

$1.99

Question 21

2

Accepted Answer

1,2,9,10

Answer

1,2

Answer

1,2,5,6

Answer

1,2,5,6,9,10

Question 22

3

Accepted Answer

.66

Answer

-4

Answer

-3.5

Answer

2

Question 23

8

Accepted Answer

sqrt(44)/12

Answer

10/12

Answer

12/10

Answer

10/sqrt(44)

Question 24

9

Accepted Answer

360

Answer

180

Answer

231

Answer

309

Question 25

9

Accepted Answer

360

Answer

180

Answer

231

Answer

309

Question 26

10

Accepted Answer

600pi

Answer

500pi

Answer

400pi

Answer

300pi

Question 27

12

Accepted Answer

2sqrt(2)

Answer

2

Answer

4sqrt(2)

Answer

16

Question 28

13

Accepted Answer

4x2-12x+9

Answer

4x2-12x+6

Answer

4x2-6x+9

Answer

8x-12

Question 29

Solve for x.

Accepted Answer

5

Answer

3

Answer

6

Answer

8

Question 30

Solve for x.

Accepted Answer

4

Answer

5

Answer

-2

Answer

12

Question 31

Solve for x.

Accepted Answer

6

Answer

4

Answer

-6

Answer

-4

Question 32

Find the missing side.

Accepted Answer

1.9 km

Answer

9.4 km

Answer

8.8 km

Answer

12.9 km

Question 33

Solve for x.

Accepted Answer

7

Answer

-6

Answer

12

Answer

-11

Question 34

Solve for the variable.

Accepted Answer

-6.6

Answer

-1.2

Answer

-3

Answer

3.2

Question 35

Solve for the variable.

Accepted Answer

5.5

Answer

1.6

Answer

-10.478

Answer

-6

Question 36

Solve for the variable.

Accepted Answer

35

Answer

11

Answer

-7.5

Answer

-2.52

Question 37

Solve for the variable.

Accepted Answer

8.25

Answer

4

Answer

5.2

Answer

6

Question 38

Name the triangle by its sides

Accepted Answer

scalene

Answer

equilateral

Answer

isosceles

Question 39

Name the triangle by its sides

Accepted Answer

equilateral

Answer

isosceles

Answer

scalene

Question 40

What's wrong with this picture?

Accepted Answer

The 56 should be 66.

Answer

The angles should be equal.

Answer

The 114 is too big.

Answer

They should equal 90

Question 41

What's wrong with this picture?

Accepted Answer

The exterior angles will not add up to 360.

Answer

The interior angles will not add up to 360.

Answer

The interior angles should add up to 720.

Answer

All 5 exterior angles should be congruent.

Question 42

Solve this system of equations.

Accepted Answer

(2, 18)

Answer

(3, 21)

Answer

(12, 48)

Answer

(5, 3)

Question 43

Re-write this equation in standard form.

Accepted Answer

x² - 4x - 45

Answer

x² - 14x - 14

Answer

x² + 5x - 45

Answer

x² - 5x + 9

Question 44

Factor this equation to determine the roots (x-intercepts)

Accepted Answer

x = -3, x = -7

Answer

x = 10, x = 21

Answer

x = 5, x = 10.5

Answer

x = 7, x = 3

Question 45

Name a chord.

Accepted Answer

CB

Answer

QP

Answer

AO

Answer

SR

Question 46

What is the scale factor? Put answer in simplest form

Accepted Answer

2/3

Answer

3/1

Answer

1/3

Answer

3/2

Question 47

Find the measure of the missing angle.

Accepted Answer

50o

Answer

90o

Answer

100

Answer

130o

ACT Math Review

65 questions

What is the value of the expression (y-x)³ when x =5 and y = 1?

What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?

If [-s + h(t⋅3-w)]r = 1, then which of the following variables CANNOT equal 0?

In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do not come from families with only one child?

For all x<3, (3 - 2x)² = ?

What is the slope intercept form of the equation: 3y + 2x = 24?

What is the slope of the line perpendicular to the line 3x + 2y = 19?

The volume of a cone is given by the formula: V = π/3 r² h, where r is the radius of the base of the cone and h is the height of the cone. What is the volume, in cubic centimeters, of a cone with a height of 8 cm and a base with a radius of 3 cm?

Given m and n are parallel lines, t is a transversal crossing both m and n, and m∡8 = 100 degrees, what is the measure of ∡3?

In the figure ∡B = 40°, and ∡W = 75°. What is the measure of ∡H?

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