Bergen County Academies Math Sample Test 1
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Questions and Answers

What is the sum of the following: 0.33 + 0.033 + 0.0033?

  • 0.6666
  • 0.3333 (correct)
  • 0.6336
  • 0.3663
  • 0.3696

    • What value for A makes the following equation true? 3744 - 5A6 = 3178

  • 0 or 1
  • 4 or 5
  • 6 or 7
  • 2 or 3 (correct)
  • 8 or 9

    • What is the value of the following expression: 1/200 of 50%?

  • 0.1%
  • 2.5%
  • 10%
  • 1%
  • 0.25% (correct)

    • If the reciprocal of a number is one divided by that number, what is the reciprocal of (2/3 + 3/2)?

    <p>6/13 (D)</p> Signup and view all the answers

    What is the largest value among the following numbers: 4+, 6+, 2+, 1+, 3+?

    <p>5 (C)</p> Signup and view all the answers

    What is the value of the following expression: √15 × 20 × 12?

    <p>400 (A)</p> Signup and view all the answers

    What percent of 20 is 66?

    <p>33.3 (C)</p> Signup and view all the answers

    Calculate the following to the nearest hundredth: 1/2 + 1/30

    <p>0.54 (C)</p> Signup and view all the answers

    A student answered a number of questions correctly, gaining 4 points for each correct answer and losing 2 points for each incorrect answer. If their final score was 70 points, how many questions did they answer correctly?

    <p>20 (C)</p> Signup and view all the answers

    On a military clock with numbers 1 through 24, what number is directly across from 19?

    <p>11 (C)</p> Signup and view all the answers

    If a race starts at 3:43 PM and finishes at 5:27 PM, at what time was the race half over?

    <p>4:35 PM (D)</p> Signup and view all the answers

    What fraction is equal to 1¼ %?

    <p>1/80 (C)</p> Signup and view all the answers

    Which of these fractions is closest to 0.25?

    <p>5/16 (C)</p> Signup and view all the answers

    Carol bought a set of 4 tires for $240. The advertisement said 'Buy 3 tires at the regular price and get a 4th tire for $3'. What was the regular price of a single tire?

    <p>$74 (D)</p> Signup and view all the answers

    Which of the following is closest to 19.9 multiplied by 199 ?

    <p>3980 (A)</p> Signup and view all the answers

    The average of six numbers is 4. A seventh number is added, and the new average becomes 5. What is the seventh number?

    <p>12 (C)</p> Signup and view all the answers

    What is the largest amount of postage that cannot be made if we have access to an unlimited number of 5¢ and 11¢ stamps?

    <p>43¢ (B)</p> Signup and view all the answers

    A train traveling 88 feet per second takes three seconds to enter a tunnel and another thirty seconds to pass completely through it. What is the length of the train in feet?

    <p>100 to 300 (A)</p> Signup and view all the answers

    Two numbers have a sum of 30 and a product of 209. What is the positive difference between them?

    <p>4 (A)</p> Signup and view all the answers

    A group of five friends has two tickets to the ball game. How many different combinations of these five friends can use the tickets?

    <p>10 (B)</p> Signup and view all the answers

    Which one of these numbers is the average of the other four?

    <p>20 (C)</p> Signup and view all the answers

    How many positive factors, including 1 and itself, does 72 have?

    <p>12 (A)</p> Signup and view all the answers

    If the sides of a square are increased by 20%, by what percentage does the area of the square increase?

    <p>36% (A)</p> Signup and view all the answers

    Flashcards

    Smallest Fraction

    Identify the smallest value among given fractions.

    Score Calculation

    Calculate blank answers based on total score and points per answer.

    Making Change

    Determine the combinations of coins to reach a specific amount.

    Family Relationships

    Solve for the number of children based on given familial ratios.

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    Postage Problem

    Identify the largest postage amount that cannot be formed with given stamps.

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    Average of Numbers

    Find a number that is the average of four other numbers.

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    Train Length

    Calculate the length of a train based on speed and time.

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    Unique Four-Digit Numbers

    Count distinct arrangements of digits with repetitions.

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    Bergen Academies Entrance Exam

    An exam with a math portion for admission.

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    Exam Scoring System

    2 points for correct answers; -0.5 points for wrong ones.

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    Percentage Calculation

    Determining a percent of a number.

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    Reciprocal Definition

    The reciprocal of a number is 1 divided by that number.

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    Sum Calculation

    The result of adding numbers together.

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    Value of A in Equations

    Finding the variable A based on given calculations.

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    Nearest Hundredth

    Rounding a number to two decimal places.

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    Fraction Evaluation

    Simplifying or calculating the value of fractions.

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    Scoring System

    4 points for right answers, -2 points for wrong ones.

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    Military Clock

    Numbers 1-24 on a circular face: what’s opposite 19?

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    Race Time Calculation

    Total race duration from 3:43 PM to 5:27 PM.

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    Fraction Conversion

    1¼% as a fraction.

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    Closest to 0.25

    Find the fraction closest to 0.25.

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    Average Calculation

    Average of six numbers is 4; find the seventh number added.

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    Pharaoh Khufu

    Khufu was born 4300 years ago; find the date of his twelfth birthday.

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    Clock Time Loss

    Clock loses 1 second each minute; determine when it shows correct time again.

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    Study Notes

    Bergen County Academies Sample Test #1

    • This test is a sample of the math portion of the Bergen County Academies entrance exam, given in January.
    • The test has 40 multiple choice questions.
    • Students have 60 minutes to complete the test without a calculator.
    • Correct answers receive 2 points each, while incorrect answers deduct 0.5 points.
    • Unanswered questions are not counted.

    Sample Test #1 - Answer Key

    • Answers for questions 1-10
    • Answers for questions 11-20
    • Answers for questions 21-30
    • Answers for questions 31-40

    Sample Test #2 - Questions and Answers

    • Question 1: Evaluate a fraction.
    • Question 2: Find the value of A.
    • Question 3: Calculate a sum of decimals.
    • Question 4: Calculate the value.
    • Question 6: What percent of 20 is 66?
    • Question 7: Calculate a value (equation with a √).
    • Question 8: Find the reciprocal expression.
    • Question 9: Calculate to the nearest hundredth.
    • Question 10: Find the number.
    • Question 11: Find the smallest whole number.

    Sample Test #3 - Questions and Answers (Page 3)

    • Question 5: Find the largest value.
    • Question 10: Find a number from equations.
    • Question 11: Find a whole number.
    • Question 12: Find appropriate range in expression.
    • Question 16: Solve a math word problem, involves page numbers.
    • Question 17: Calculate an hour shift times.
    • Question 13: Evaluate an absolute value expression.
    • Question 18: Solve a word problem involving profit.
    • **Question 14:**Evaluate the expression.
    • Question 19: Solve a hockey points problem.

    Sample Test #4 - Questions and Answers (Page 4)

    • Question 15: Find the largest value.
    • Question 20: Find the number.
    • Question 21: Find the fraction comparing a period to another.
    • Question 22: Find the numerical value.
    • Question 23: Estimate the numerical value.
    • Question 26: Solve a financial problem involving an estate.
    • Question 27: Calculate tube of glue for the model boats.
    • Question 28: Calculate what day of the week a date is.
    • Question 29: Calculate the concentration in a solution.
    • Question 24: Find the square root of a number..

    Sample Test #5 - Questions and Answers (Page 5)

    • Question 25: Calculate a fraction from class data.
    • Question 30: Calculate a speed from information about distance and time.
    • Question 31: Calculate a math quiz score.
    • Question 32: Calculate a quantity related to specific units and grains.
    • Question 33: Calculate the product of two decimal numbers.
    • Question 36: Find the least common multiple of two numbers.
    • Question 37: Find an equivalent single discount.
    • Question 38: Calculate the combinations of toppings.
    • Question 39: Solve a rate problem involving doughnuts.
    • Question 34: Find the number of even digits.

    Sample Test #6 - Questions and Answers (Page 6)

    • Question 35: Find the equivalent expression.
    • Question 40: Calculate the average number of people moving into New Jersey.

    Practice Problems 7 and 8 - Questions and Answers (Pages 7 and 8)

    • Include a variety of math problems with different topics.
    • Some questions involve word problems.
    • Some questions involve fractions, decimals, percentages, and geometry.
    • Some questions involve systems of equations, algebra

    Practice Problems 9-11 - Questions and Answers (Pages 9 & 10)

    • Various calculation problems, including algebraic expression evaluation.
    • Some questions involve probability and fractions.

    Practice Problems 12 - Questions and Answers (Page 12)

    • Question 9: Calculate a formula expression.
    • Question 10: Calculate a quantity using a number of people and full room.
    • Question 11: Calculate prime numbers between two numbers.
    • Question 12: Calculate the number of days in a leap year.
    • Question 13: Calculate the smallest number of socks to have a matching pair.
    • Question 14: Calculate a percentage based on a ratio of students.
    • Question 15: Calculate how many bricks can fit in space.

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    Bergen Academies Sample Test #1 PDF

    Description

    This quiz includes sample questions from the math portion of the Bergen County Academies entrance exam. It consists of 40 multiple choice questions to be completed within 60 minutes without a calculator. Test your math skills and preparation for the entrance exam with this comprehensive sample test.

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