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ACT Prep -

ACT Prep -

Assessment

Presentation

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

•
CCSS
6.SP.B.5C, 4.MD.A.3, 6.G.A.1

+28

Standards-aligned

Created by

Erin Nolte

Used 5+ times

FREE Resource

26 Slides • 51 Questions

1

Goals for Today

  • Learn testing tips for ACT (or other standardized tests)

  • Practice ACT-type problems

2

Test Tips

  • Read each question carefully to make sure you understand the type of answer required.

  • If you choose to use a calculator, be sure it is permitted, is working on test day, and has reliable batteries.

  • Use your calculator wisely.

  • Solve the problem.

  • Locate your solution among the answer choices.

  • Make sure your answer is reasonable. Check your work.

  • (from ACT.org)

3

Multiple Choice

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

1

$44.44

2

$109.08

3

$118.80

4

$408.04

5

$444.40

4

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5

Multiple Choice

When x = 3 and y = 5, by how much does the value of 

3x2−2y3x^2-2y
exceed the value of  2x2–3y?2x^2–3y?   

1

4

2

14

3

16

4

20

5

50

6

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7

Multiple Choice

What is the greatest common factor of 42, 126, and 210?

1

2

2

6

3

14

4

21

5

42

8

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9

Multiple Choice

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

1

16

2

20.5

3

22

4

35

10

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11

Multiple Choice

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

1

13.5

2

47.5

3

54

4

66

12

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13

Multiple Choice

Question image

In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?

1

(3, -7)

2

(4, -8)

3

(5, -1)

4

(9, -3)

14

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15

Multiple Choice

Using the backsolving strategy, solve the following:

If (x+4)2=49\left(x+4\right)^2=49 and x<0, what is the value of x?

1

-53

2

-45

3

-11

4

-3

5

3

16

17

Fill in the Blanks

What is 65% of 15?

18

19

Multiple Choice

A girl scout troop uses 14 batteries for a three night camping trip. Which proportion can be used to find the number of batteries they'll need for a 7 night trip?

1

14 batteries3 nights=x batteries7 nights\frac{14\ batteries}{3\ nights}=\frac{x\ batteries}{7\ nights}

2

14 batteries3 nights=7 nightsx batteries\frac{14\ batteries}{3\ nights}=\frac{7\ nights}{x\ batteries}

3

14 batteries7 nights=x batteries3 nights\frac{14\ batteries}{7\ nights}=\frac{x\ batteries}{3\ nights}

20

Fill in the Blanks

If a 4 pound chicken costs $6.00, then how much does a 3.25 pound chicken cost?

Type answer...

21

Multiple Choice

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

1

14

2

6

3

8

4

64

22

Fill in the Blanks

Three dice are rolled at the same time. How many combinations of numbers can be made?

Type answer...

23

Multiple Choice

How many salads can be made if you can choose from: 2 types of lettuce, four types of vegetables, and 7 types of dressing?

1

14

2

9

3

13

4

56

24

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25

Multiple Choice

A six-sided die is rolled. What is the probability that you will roll a 3?

1

3/6

2

1/6

3

1/1

4

1/3

26

Multiple Choice

A bag is full of 4 blue marbles, 5 yellow marbles, 9 green marbles, and 12 cyan marbles. You plan to draw one marble from the bag at random. Find P(blue marble)

1

430\frac{4}{30}

2

49\frac{4}{9}

3

2630\frac{26}{30}

27

Multiple Choice

In a gumball machine, the ratio of gumballs is 5 yellow gumballs to 4 red gumballs to 6 blue gumballs. What is the probability that any gumball from the machine is blue or yellow?

1

4/15

2

2/3

3

11/15

4

1/3

28

Multiple Choice

Kate and Kyle are playing a game. They must flip a coin and spin a spinner with 12 equal sections numbered 1 through 12. What is the probability that Kyle will flip a heads and spin the spinner and get an even number?

1

1/6

2

1/10

3

1/4

4

1/2

5

1/12

29

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30

Multiple Choice

What is the median of the data set given below?


0, 12, 5, 45, 12, 8, 2

1

45

2

8

3

25

4

18.5

5

12

31

Multiple Choice

What is the median of the following numbers?


10, 39, 71, 42, 39, 76, 38, 25

1

42.5

2

39

3

42

4

35.5

32

Multiple Choice

What is the mean of the following numbers?


10, 39, 71, 39, 76, 38, 25

1

42

2

39

3

42.5

4

35.5

33

Multiple Choice

What is the mean, median, and mode of the following dataset?


101, 99, 102, 105, 100, 98, 102

1

mean = 101, median = 101, mode = 102

2

mean = 101, median = 102, mode = 101

3

mean = 100, median = 105, mode = 102

4

mean = 100, median = 105, mode = 101

5

mean = 100, median = 100, mode = 100

34

Open Ended

Name three "words" that translate to math operations.

35

Backsolving

Use your answer choices (consider storing for the variable if appropriate) and work backwards

36

Multiple Choice

What is the value of x when 2x + 3 = 3x – 4 ?
1
-7
2
-1/5
3
1/5
4
7

37

Multiple Choice

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

1

15

2

30

3

60

4

90

38

On a sheet of paper, you should copy the following and then write the formula beside each one.

  • Area of a Circle

  • Circumference of a Circle

  • Area of a Square

  • Perimeter of a Square

  • Area of a Rectangle

  • Perimeter of a Rectangle

39

For all coordinate geometry formulas, use (x1,y1) and (x2,y2) for the points.

  • Midpoint

  • Distance

  • Slope

  • Point-Slope Form of a Line

  • Slope-Intercept Form of a Line

  • Equation of a Circle

40

When you finish, you should have 18 formulas!

  • Arc Length

  • Area of a Sector

  • Pythagorean Theorem

  • Area of a Parallelogram

  • Area of a Triangle

  • Area of a Trapezoid

41

Multiple Choice

What is the midpoint formula?

1

y2−y1x2−x1\frac{y_2-y_1}{x_2-x_1}

2

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)  

3

(x1−x22, y1−y22)\left(\frac{x_1-x_2}{2},\ \frac{y_1-y_2}{2}\right)  

4

(x2−x1)2+(y2−y1)2\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}  

42

Multiple Choice

What is the formula for area of a triangle?

1

bhbh  

2

12bh\frac{1}{2}bh  

3

lwlw  

4

πr2\pi r^2  

43

Multiple Choice

What is the formula for area of a square?

1

lwhlwh  

2

s2s^2  

3

lwlw  

4

4s4s  

44

Multiple Choice

What is the formula for perimeter of a square?

1

lwhlwh  

2

s2s^2  

3

lwlw  

4

4s4s  

45

Multiple Choice

What is the formula for perimeter of a rectangle?

1

bhbh  

2

4bh4bh  

3

2l+2w2l+2w  

4

lwlw  

46

Multiple Choice

What is the formula for Pythagorean Theorem?

1

2πr2\pi r

2

c2=a2+b2c^2=a^2+b^2

3

PEMDAS

4

SOH CAH TOA

47

Multiple Choice

What is the distance formula?

1

y2−y1x2−x1\frac{y_2-y_1}{x_2-x_1}

2

(x2−x1)2+(y2−y1)2\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

3

(x2+x1)2−(y2+y1)2\sqrt{\left(x_2+x_1\right)^2-\left(y_2+y_1\right)^2}

4

d2=a2+b2d^2=a^2+b^2

48

Multiple Choice

What is the formula for slope?

1

y=mx+by=mx+b

2

y2−y1x2−x1\frac{y_2-y_1}{x_2-x_1}

3

x2−x1y2−y1\frac{x_2-x_1}{y_2-y_1}

4

y−y1=m(x−x1)y-y_1=m\left(x-x_1\right)

49

Multiple Choice

What is the formula for the area of a rectangle?

1

lwlw

2

12bh\frac{1}{2}bh

3

πr2\pi r^2

4

2h(b1+b2)2h\left(b_1+b_2\right)

50

Multiple Choice

What is the point-slope form of the equation of a line?

1

y=mx+by=mx+b

2

y−y1=m(x−x1)y-y_1=m\left(x-x_1\right)

3

r2=(x−h)2+(y−k)2r^2=\left(x-h\right)^2+\left(y-k\right)^2

4

a2+b2=c2a^2+b^2=c^2

51

Multiple Choice

What is the slope-intercept form of the equation of a line?

1

y=mx+by=mx+b

2

y−y1=m(x−x1)y-y_1=m\left(x-x_1\right)

3

r2=(x−h)2+(y−k)2r^2=\left(x-h\right)^2+\left(y-k\right)^2

4

a2+b2=c2a^2+b^2=c^2

52

Multiple Choice

What is the equation of a circle?

1

A=πr2A=\pi r^2

2

y−y1=m(x−x1)y-y_1=m\left(x-x_1\right)

3

r2=(x−h)2+(y−k)2r^2=\left(x-h\right)^2+\left(y-k\right)^2

4

a2+b2=c2a^2+b^2=c^2

53

Multiple Choice

What is the formula for area of a parallelogram?

1

bhbh  

2

12bh\frac{1}{2}bh  

3

lwlw  

4

πr2\pi r^2  

54

Multiple Choice

What is the formula for arc length?

1

πr2\pi r^2

2

θ360πr2\frac{\theta}{360}\pi r^2

3

θ360πd\frac{\theta}{360}\pi d

4

4πr34\pi r^3

55

Multiple Choice

What is the formula for area of a sector of a circle?

1

πr2\pi r^2

2

θ360πr2\frac{\theta}{360}\pi r^2

3

θ360πd\frac{\theta}{360}\pi d

4

4πr34\pi r^3

56

Multiple Choice

What is the formula for area of a trapezoid?

1

12h(b1+b2)\frac{1}{2}h\left(b_1+b_2\right)

2

bhbh

3

12bh\frac{1}{2}bh

4

2h(b1+b2)2h\left(b_1+b_2\right)

57

Multiple Choice

What is the formula for circumference of a circle?

1

2πd2\pi d  

2

2πr2\pi r

3

πr2\pi r^2

4

43πr3\frac{4}{3}\pi r^3

58

Multiple Choice

What is the formula for area of a circle?

1

πd\pi d

2

2πr2\pi r

3

πr2\pi r^2

4

43πr3\frac{4}{3}\pi r^3

59

Multiple Choice

Wyatt drew a figure that has four sides that are equal in length but does not have right angles. What shape did Wyatt draw?

1

square

2

rhombus

3

rectangle

4

parallelogram

60

Square

4 congruent sides, 2 set of parallel lines, 4 right angles

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61

Rhombus

4 congruent sides and 2 set of parallel lines

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62

Rectangle

4 right angles and 2 set of parallel lines

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63

Parallelogram

MUST have 2 parallel lines

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64

Multiple Choice

Question image

What shape is shown?

1

isosceles triangle

2

equilateral triangle

3

quadrilateral

4

scalene triangle

65

Isosceles Triangle

Isosceles triangle is a triangle that has 2 sides of equal length. 

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66

Isosceles Triangle

Isosceles triangle is a triangle that has 2 sides of equal length. 

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67

Equilateral Triangle

Equilateral triangle is a triangle in which all 3 sides have the same length

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68

Quadrilateral

Quadrilateral is a two-dimensional shape which has 4 sides

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69

Scalene Triangle

A scalene triangle is a triangle in which all 3 sides have DIFFERENT lengths.

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70

Multiple Choice

Question image

How many lines of symmetry can be drawn on the shape below?

1

1

2

2

3

3

4

4

71

Line of Symmetry

A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly.

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72

Multiple Choice

Question image

Determine if the line of symmetry was drawn correctly on the shape below.

1

Correct

2

Incorrect

73

Multiple Choice

Which of the images below is an isosceles triangle?

1
2
3
4

74

Multiple Choice

Missy drew a four sided figure that has no equal sides in length, no parallel lines, and no right angles. What shape did Missy draw?

1

rectangle

2

parallelogram

3

rhombus

4

quadrilateral

75

Multiple Choice

Question image

What shape is shown?

1

Rhombus

2

Parallelogram

3

Square

4

Trapezoid

76

Multiple Choice

Lincoln drew an image that has four sides, two sets of parallel lines, and four right angles. What shape did Lincoln draw?

1

trapezoid

2

square

3

rhombus

4

rectangle

77

Multiple Choice

Question image

How many lines of symmetry can be draw on the shape below?

1

1

2

2

3

3

4

4

pattern-tertiary
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  • Practice ACT-type problems

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