ACT candidates may practice with sample papers that are replicas of the original test. Many guides and books may be found if you search your local libraries and schools. Numerous lessons are accessible online to achieve your goals. It is possible to register for free but some websites might charge a minor fee. Practicing past questions allows more familiarity with the subjects and refreshes your knowledge. The official ACT website has all the required information including the details of various subjects in the exam, test dates, method of registration, sample tests and useful tips.

## Why choose ACT practice tests?

These practice tests are very close to the original exam. The number of questions and structure of the test is similar to the real assessment. They can provide an accurate good idea of the test pattern spurring you towards your goal with consistency from your end. If you time yourself properly during preparation you may ace the test with superior time management skills.

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## ACT practice test format

There are 5 sections in the ACT practice test in the following sequence: English, Math, Reading, Science, and Writing. All of the subjects are allotted specific time which is different as the number of questions varies from section to section. The exam lasts roughly 3 hours and 35minutes. Candidates are given 2 short breaks as well. One break is offered between the Math section and the other between the Reading sections.

Subject |
Time (mins) |
No. of Questions |
Content |

English | 45 | 75 | Written English & rhetorical skills |

Math | 60 | 60 | Topics up to Trignometry level |

Reading | 35 | 40 | Reading comprehension |

Science | 35 | 40 | Interpretation, analysis, evaluation, reasoning & problem-solving in natural sciences |

Writing | 30 | 1 | Writing skills up to high school level & entry-level college composition courses |

**Figure 1. ACT exam format**

### English section

This part contains 75 multiple-choice questions (MCQs) to be completed in 45minutes. There are 5 passages in this segment each related to a different topic. Moreover, there are 15 questions in each portion. Your English grammar, knowledge, punctuation, sentence formation and writing abilities are evaluated. The students may score between 1 to 36 marks in this section depending on their capabilities.

**All You Need To Know About ACT TEST DATES**

### Math section

It contains 60 MCQs which are assigned only 60minutes. These questions are further subdivided into 3 types: Higher Math (35 questions), Integrating Essential Skills (25 questions) and Modeling (22 questions). The Higher Math category is split into questions from Algebra, Geometry, and Function, each consisting of 8 questions. Other questions are from Numbers & Quantity, Probability, and Statistics. Math formulas will not be arranged for you during the test but a calculator is permitted for this section. Students may score between 1 to 36 marks in this segment.

Math Topic |
Content (%) |

Pre-Algebra | 20-25 |

Elementary Algebra | 15-20 |

Intermediate Algebra | 15-20 |

Coordinate Geometry | 15-20 |

Plane Geometry | 20-25 |

Trigonometry | 5-10 |

#### If ƒ (χ)=4χ-3, then ƒ(-2) =? (Elementary Algebra)

Option D is the best answer. If we put -2 in the equation we get ƒ(-2)=4(-2)^{2}-3=13.
A cannot be true as the square of -2 will be a positive 4. Therefore, 16 will have a positive sign and it will operate with -3 to get 13 instead of -16. B cannot be true as putting the value in 4χ^{2} will result in +16. The resultant expression will be 16-3=13. 13 will have positive sign because the resultant answer will carry the sign of the greatest number. C cannot be true as by substituting the ƒ( χ) with ƒ (-2) we will get 16-3 instead of -16-3. E is incorrect because 16-3=13 not 15

#### If x: y=3:8 and y: z=2:5, then what is the ratio of x: z? (Pre-algebra)

B is the best option. x: y=3/8 and y: z=2/5 x/y x y/z= 3/8 x 2/5 =6/40 A is incorrect because we cannot take the value of x and z from the ratios as it is to find x: z. C is incorrect because it has taken the value of z and x from the ratios x:y and y:z. D is incorrect because it is the reciprocal of the simplified form of x:y. E is incorrect because we get the value 6:40 instead of 3:2 after simplifying the ratios.

#### In the figure, below a line intersects two lines WX and YZ. What is true about the figure below? (Plane geometry)

C is the best option. When a line intersects a single line, then it forms to angles. Sum of two angles formed after intersection is equal to 180°. <C and <D are formed when the line intersects WX. These two angles are equal to 180°. A cannot be true <C and <D must be equal to 180°. B is incorrect <E and <H should be of the same measure. D is incorrect because <G and <H should be equal to 180° rather than 360°. E is incorrect as <E and <F should be equal to 180°.

#### In scientific notation, 450,000,000 – 120,000,000 is written as (Pre- Algebra)

B is the best option. To write in scientific notation, first subtract the two numbers.
=450,000,000-120,000,000
=330,000,000
Now, write the resultant figure in scientific notation. We know that there are already 7 zeros in the number including 33. Now place the decimal point after the first digit i.e. 3 and count the digits after that. We will write the number 330,000,000 in scientific notation as 3.3 x 10^{8}.
A is incorrect because there are 8 digits after 3 rather than 9. C is incorrect as the digits after 3 are not six. D is incorrect because the digits after 3 are 8 rather than 7. E cannot be true as the power of 10 is negative which is only possible if the figure is in decimal points.

#### Given f=ab^{2}, f=600, b=10, what is the value of a? (Elementary algebra)

A is the best option. Putting the values in the formula we get f=ab^{2}, we get
600=a(10)^{2}
600=100a
600/100=a
6=a
B is incorrect as it can only be true if the expression was f=ab. C is incorrect because it has multiplied the value of f with b. D is incorrect because it is the value of b^{2}. E is the value of f.

#### Which of the following expression is equivalent to 2xy(9x^{2}+18xy+4y^{2})? (Elementary algebra)

E is the best option. We will multiply each option in the bracket with 2xy.
=2xy(9x^{2}+18xy+4y^{2})
The powers of the common variables will be added together and we will get the expression 18x^{3}y+36x^{2}y^{2}+8xy^{3}. A cannot be true because 9x^{2} will be multiplied by 2xy to get the value 18x^{3}y instead of 18x^{2}y. B cannot be true because the first term 9x^{2} is multiplied by 2x rather than 2xy. C cannot be true because the second value in the algebraic expression will be multiplied by 2xy to get 36x^{2}y^{2}instead of 36xy^{2}. D is incorrect because 4y^{2} will be multiplied with 2xy to get 8xy^{3} instead of 8xy^{2}.

#### What is the next term in the geometric sequence 1⁄3, 2⁄3,4⁄3? (Intermediate Algebra)

B is the best choice. Geometric sequence has the common ratio between the two consecutive numbers. If we take the ratio of the consecutive numbers like 2/3 and 1/3 or 4/3 and 2/3, the answer is 2. The formula to find the n term in the geometric sequence is ar^{n-1}. Here a is the first term, r is the common ratio and n is the sequence of the number.
Putting the values in the formula we get
=1⁄3 (2 )^{4-1}
=8/3
A cannot be true because the denominator is not considered. This answer will be true if we have the sequence 1,2,4… C is incorrect because the answer is given by the formula ar^{n} which is wrong. is incorrect because it is the value of r. E is incorrect as it is the value of a.

#### Five employees working in the same company give $500, $470, $380, $670 and $400 monthly income tax. What is the mean income tax given by all the employees? (Pre-Algebra)

Option B is the best answer. If we add all these amounts and divide it by 5 we get 484. =500+470+380+670+400/5 A cannot be true as it is obtained after adding all the amounts and dividing by 4. C cannot be true as it is the middle value which is not required. D and E are incorrect because adding all the amounts and dividing them by 5 do not yield these answers.

#### What fraction exactly lies halfway between 4⁄5 and 5⁄6? ( Pre-algebra)

E is the best option. To find the equation which exactly lies half way between the two fractions we will use the formula: = 1⁄2 (a+b) = 1⁄2 (4⁄5 + 5⁄6) = 1⁄2 (24+ 25⁄30) = 1⁄2 (49⁄30) = 49⁄60 A is incorrect because it just gives the next number by adding 1 to the numerator and denominator respectively. B is incorrect because it is the value of a+b rather than 1/2 (a+b). C is incorrect because gives the reciprocal of the actual answer. D is incorrect because it is calculated by subtracting 1 from the lowest value.

#### A rectangle who has the length of 7 centimeters, has the perimeter of 26 centimeters. What is area of the rectangle in centimeter square? ( Plane geometry)

C is the best option. The perimeter of the rectangle has the formula 2(l+w) 2(l + w) = 26 2((7+w) =26 7+w=13 w=6 The area of the rectangle is lw. Multiplying length 7 by width 6 we get 42. A is incorrect as it is two times the given perimeter of the rectangle. B is incorrect because it is the value of l+w. D is incorrect because 6 is the value of width. E is incorrect because after substituting values of length and width in the formula we get 42 not 12.

#### To get promoted to grade 6, students must pass English, math and science exam. Past record shows that 85% students pass the English exam and 60% of the students who pass the English exam also pass the science and math exams. Out of 100 students, how many will be promoted to grade 6? (Pre-algebra)

A is the best option. It is given that 85% out of 100 students pass the English test. It means that converting this percentage into number of students we get =85/100 x 100 =85 students Now, out of these 85 students 60% pass science and math exams too. So, here we will convert 60% into number of students like this 60/100 χ 85=51 students B is incorrect because it gives the number of students who pass the English test only. C is incorrect because it directly calculates number of students who pass the science and math exam from the total number of students’ D is incorrect because we get the number 51 after solving the question in two steps rather than 15. E is incorrect because after solving the question in two steps we get the resultant number 51 rather than 40.

#### The product of two complex numbers (4i+5) and (-4i+5) is (Intermediate algebra)

B is the best option. We will multiply the complex numbers just like we multiply two algebraic expressions.
=(4i+5) (-4i+5)
=4i(-4i+5) + 5(-4i+5)
=-16i^{2}+20i-20i+25
=-16i^{2}+25
We know that i=√-1. Putting the value of i in the expression, we get
=16+25
=41
A is incorrect because -16i^{2} will be equal to 16 rather than -16.
C is incorrect because after multiplying the numbers we get the expression -16i^{2}+20i-20i+25 instead of -16i^{2}+20i+25. D is incorrect because after multiplying the complex numbers, we do not get-16i^{2}+20i+20i+25. E is incorrect because 16i^{2} has the positive sign, while actually it contains the negative sign after simplifying the multiplication.

#### In which of the following options the numbers 6⁄11, 7⁄8 and 1 1⁄4 are arranged in descending order? (Pre-Algebra)

C is the best answer. By simplifying the fraction 1 1⁄4, we get 5⁄4. We can see that among all the three fractions has the numerator greater than the denominator, therefore, it is the biggest fraction. Similarly, the greater is the difference between the numerator and denominator the smaller is the number. 7⁄8 has less difference and 6⁄11has greater difference. So, arranging these fractions in descending order we get this sequence 1 1⁄4 , 7⁄8 , 6⁄11. A cannot be true as it is arranged with respect to numerators only. B cannot be true as it is arranged in ascending order rather than descending one. D is incorrect as it is arranged in ascending order by considering the numerators only. E is incorrect as it is arranged randomly rather than in ascending order.

#### The grade distribution of 300 college students is shown below. ( Pre-Algebra) If one student is randomly selected from the college, then what is the probability that that the student has either got A or B grade?

E is the best option. To find the probability, we will do the following procedure. =Number of students who got A grade + Number of students who got B grade / Total number of students =180+ 80⁄300 =260⁄300 A cannot be true as it reflects the probability that the selected student has got A grade only. B cannot be true as it reflects that the selected student has got B grade only. C is incorrect as it divides total number of students with the sum of students who got A and B grades respectively. D is incorrect because it divides total number of students with the number of students who achieved A grade.

#### What is the difference between median and mean of the set {3,5,7,10,11,15}? ( Pre-algebra)

D is the best option. The mean of the set is calculated as: 3+5+7+10+11+15/6=8.5 Since, this is the set of even numbers, therefore, the median is calculated by adding the middle two numbers and then dividing them by 2. =10 + 7⁄2 =17/2 =8.5 By taking the difference between mean and the median we get 0. A is incorrect because it has added the mean and the median instead of subtracting it. B is incorrect because it is the value of mean and the median. C is incorrect because by subtracting mean and the median we get 0 instead of 2. E is incorrect because it is the difference of middle two numbers.

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### Reading section

This part is composed of 40 MCQs that must be finished within 35minutes. There are 4 passages and 10 questions per passage. These belong to various subjects including social studies, humanities, and life sciences. The questions should be marked according to the information provided in those passages rather than your own knowledge. The highest score maybe 40 in this section.

**All You Need To Know About ACT TEST SCORES**

### Science section

This part includes 40 MCQs that need to be solved before 35minutes are over meaning you have approximately 53seconds per question. A student’s abilities are analyzed in different ways like how well a student interprets a question, gives reasoning and how quickly a student attempts problem-solving questions. There are 16 questions related to data interpretation and 10 questions about scientific investigation followed by a set of 14 questions consisting of experimental data. Students will be shown graphs, charts or tables to analyze their answers. The questions in this section involve passages related to Biology, Physics, Chemistry and Earth Sciences. The highest raw score maybe 40 here.

### Writing section

In addition to 4 major subject areas, sometimes students choose to sit in the Writing segment too. This portion does not have MCQs in it rather it requires you to complete an essay in 40minutes. If you have selected this option, you will be given extra time. It is highly recommended that you take this part of the ACT test since many top universities demand it. Students will be required to write an essay on a specific topic. You will be evaluated on your ideas, writing style, vocabulary, and text structure beside your interpretation skills. The essay portion will not affect your overall ACT scores since your complete score is basically an average of the 4 subject tests that you have taken earlier. Two ACT examiners will assess your ACT essay and both of them will grant you a score between 2 and 12.

Now that you are aware of the format of the ACT exam, it will be easier for you to prepare for it through guides, sample papers, and other useful resources.