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    Bergen County Academies Entrance Practice Tests: Five Full-Length Math and English Essay Tests with Detailed Answer Explanations
    Bergen County Academies Entrance Practice Tests: Five Full-Length Math and English Essay Tests with Detailed Answer Explanations
    Bergen County Academies Entrance Practice Tests: Five Full-Length Math and English Essay Tests with Detailed Answer Explanations
    Ebook205 pages2 hours

    Bergen County Academies Entrance Practice Tests: Five Full-Length Math and English Essay Tests with Detailed Answer Explanations

    By Anthem Press

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    About this ebook

    The Bergen County Academies (BCA) Entrance Exam is taken by students of grade 8 seeking admission in grade 9 at the BCA. This book will take you through five full-length practice tests that simulate the real BCA test. The tests cover both English and Math sections. The Math section contains questions similar to the BCA Math section questions along with detailed explanations and smarter techniques to help you get to the answers sooner. The English section contains reading passage–based questions with a sample response. The highlight of this book is the in-depth explanations provided for both Math and English sections. This will help students build clarity of concepts and confidence which is required for success at the BCA exam.

    LanguageEnglish
    PublisherAnthem Press
    Release dateOct 11, 2022
    ISBN9781839988028
    Bergen County Academies Entrance Practice Tests: Five Full-Length Math and English Essay Tests with Detailed Answer Explanations

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      Book preview

      Bergen County Academies Entrance Practice Tests - Anthem Press

      Bergen County Academies Entrance Practice Tests

      Bergen County Academies Entrance Practice Tests

      Five Full-Length Math and English Essay Tests with Detailed Answer Explanations

      Anthem Press

      An imprint of Wimbledon Publishing Company

      www.anthempress.com

      This edition first published in UK and USA 2023

      by ANTHEM PRESS

      75–76 Blackfriars Road, London SE1 8HA, UK

      or PO Box 9779, London SW19 7ZG, UK

      and

      244 Madison Ave #116, New York, NY 10016, USA

      © Accel Learning LLC www.accellearning.com 2023

      The author asserts the moral right to be identified as the author of this work.

      All rights reserved. Without limiting the rights under copyright reserved above, no part of this publication may be reproduced, stored or introduced into a retrieval system, or transmitted, in any form or by any means (electronic, mechanical, photocopying, recording or otherwise), without the prior written permission of both the copyright owner and the above publisher of this book.

      British Library Cataloguing-in-Publication Data

      A catalogue record for this book is available from the British Library.

      Library of Congress Cataloging-in-Publication Data

      A catalog record for this book has been requested.

      ISBN-13: 978-1-83998-801-1 (Pbk)

      ISBN-10: 1-83998-801-0 (Pbk)

      This title is also available as an e-book.

      The Bergen County Academies is in no way involved in the publication of this book and does not endorse or sponsor this work.

      Contents

      Introduction

      Practice Test 1

      Maths Practice Test

      English Practice Test

      Maths Answer Key with Explanations

      Sample Response to English Test

      Practice Test 2

      Maths Practice Test

      English Practice Test

      Maths Answer Key with Explanations

      Sample Response to English Test

      Practice Test 3

      Maths Practice Test

      English Practice Test

      Maths Answer Key with Explanations

      Sample Response to English Test

      Practice Test 4

      Maths Practice Test

      English Practice Test

      Maths Answer Key with Explanations

      Sample Response to English Test

      Practice Test 5

      Maths Practice Test

      English Practice Test

      Maths Answer Key with Explanations

      Sample Response to English Test

      Introduction

      The Bergen County Academies (BCA) Entrance Exam must be taken by students in grade 8 seeking admission to the BCA. The BCA has seven academic and professional divisions. It is a tuition-free public magnet high school located in Hackensack, New Jersey, that serves students from Bergen County, New Jersey. Admission to the Academies is highly competitive, as the school typically accepts about 270 of the more than 1,600 applicants every year (~16% admissions rate) through a process that includes letters of recommendation, exams and interviews.

      Summary

      Practice Test 1

      Maths Practice Test

      You have 60 minutes to answer the 40 questions in the Math Section. Calculator is NOT allowed

      Qs. 1:Round off to the nearest tenths.

      A) 35.8

      B) 35.9

      C) 36.0

      D) 35.93

      E) 35

      Qs. 2:Solve: (5 × 10⁴) + (4 × 10³) + (2 × 10¹)

      A) 50,402

      B) 54,002

      C) 54,020

      D) 50,042

      E) 542

      Qs. 3:In a right triangle, if one acute angle measures 40°, what is the measure of the other acute angle?

      A) 40°

      B) 90°

      C) 50°

      D) 35°

      E) 140°

      Qs. 4:Find the number if 70% of it is 350.

      A) 350

      B) 5

      C) 50

      D) 24,500

      E) 500

      Qs. 5:In the library, there are 8 rectangular tables with 7 pupils each and square tables with 4 pupils each. How many square tables are needed, so 100 pupils can read at the same time?

      A) 11

      B) 25

      C) 92

      D) 8

      E) 15

      Qs. 6:The perimeter of a square is 324. What is the area of the square?

      A) 162

      B) 648

      C) 81

      D) 6,561

      E) 6,650

      Qs. 7:45% is the same as:

      A)451

      B)902

      C)920

      D)45

      E)310

      Qs. 8:The sum of two numbers is 32, and the difference is 2. What are the numbers?

      A) 11 and 21

      B) 10 and 22

      C) 13 and 19

      D) 15 and 17

      E) 17 and 19

      Qs. 9:There are 2 5 8 pizzas. How many people share when each has 3 8 of pizza?

      A) 5

      B) 6

      C) 7

      D) 8

      E) 9

      Qs. 10:Between which two consecutive integers does the square root of 99 lie?

      A) 9 and 10

      B) 90 and 100

      C) 7 and 8

      D) 70 and 80

      E) 98 and 100

      Qs. 11:What is the 5 12 of 720?

      A) 1,800

      B) 300

      C)11,728

      D) 360

      E) 180

      Qs. 12:Find the smallest whole number that is larger than the difference of the fractions:

      A) 3

      B) 4

      C) 5

      D) 6

      E) 7

      Qs. 13:What is the radius of a circle whose circumference is 5.34 m?

      A) 0.80 m

      B) 1.20 m

      C) 1.70 m

      D) 1.85 m

      E) 0.85 m

      Qs. 14:Lesley is making 7 handkerchiefs. Each side is 27 cm long. How much lace is needed to put lace around all the handkerchiefs?

      A) 378 cm

      B) 189 cm

      C) 756 cm

      D) 108 cm

      E) 1,056 cm

      Qs. 15:How many eighths are there in 9 5 8 ?

      A) 5

      B) 25

      C) 33

      D) 77

      E) 82

      Qs. 16:What is the value of x + x (xx) when x = 4?

      68

      128

      1,048

      2,048

      1,028

      Qs. 17:What is the value of A?

      A) 1

      B) 2

      C) 3

      D) 4

      E) 5

      Qs. 18:Calculate the following to the nearest thousandths:

      A) 0.372

      B) 3,720

      C) 0.3714

      D) 0.371

      E) 3,710

      Qs. 19:If 6m = 72, what is the value of 12m + 6?

      A) 144

      B) 72

      C) 124

      D) 78

      E) 150

      Qs. 20:What fraction of 3 hr is 45 s?

      A)1240

      B)14

      C)453

      D)45240

      E)1180

      Qs. 21:Multiplying by 3 7 and then dividing by 3 9 is the same as dividing by what?

      A)963

      B)17

      C)79

      D)639

      E)97

      Qs. 22:Princess is 15 years older than her cousin Charice. In 10 years, Princess will be twice as old as Charice. How old is Princess now?

      A) 17

      B) 18

      C) 19

      D) 20

      E) 21

      Qs. 23: 3 5 of a class of 45 pupils are boys. How many are girls?

      A) 27

      B) 18

      C) 9

      D) 22

      E) 23

      Qs. 24:In the next 5 days, 1,500 employees will move to a new company. How many employees, on average, will move to the new company each hour? Express your answer to the nearest whole number.

      A) 11

      B) 12

      C) 13

      D) 14

      E) 15

      Qs. 25:On a map, 1 in represents 27 miles. The distance between the first and second towns is 4 3 6 in. From the second town to the third town, the distance is 3 1 2 in. How many miles are between the first and third towns?

      A) 116 miles

      B) 210 miles

      C) 7 48 miles

      D) 216 miles

      E) 27 miles

      Qs. 26:How many cubed pieces that are 4 cm on an edge can be packed into a rectangular box that is 12 cm deep by 8 cm wide by 12 cm high?

      A) 36

      B) 22

      C) 64

      D) 16

      E) 18

      Qs. 27:If 4y = 9y − 50, then y + 43 is:

      A) 93

      B) 63

      C) 53

      D) 73

      E) 83

      Qs. 28:Jonathan receives a base salary of $105 weekly plus a 10% commission on all sales. He had $2,500 in sales this week. How much did he make in total?

      A) $355

      B) $2,605

      C) $115.5

      D) $2,510.5

      E) $350

      Qs. 29:What is the quotient when x ² − 25 is divided by x − 5?

      A)x − 5

      B)x = 5

      C)x + 5

      D)x = 25

      E)x² + 5

      Qs. 30:The LCM of 54, 72 and 90 is:

      A) 216

      B) 3,888

      C) 6,480

      D) 356

      E) 1,080

      Qs. 31:Thrice the sum of two-fifths and one-third less one-half is what number?

      A)710

      B)1115

      C)730

      D)2130

      E)130

      Qs. 32:The mean of the four numbers is 74.5. If three of the numbers are 59, 77 and 85, what is the value of the fourth number?

      A) 75

      B) 77

      C) 82

      D) 68

      E) 90

      Qs. 33:Evaluate the expression:

      A) 13a + 23b

      B) 37a + 23b

      C) 13a + 17b

      D) 37a − 17b

      E) 23a − 17b

      Qs. 34:I visit my grandmother’s house every 2 days and go to the park every 5 days. If I get to do both today, how many days will pass before I do both on the same day again?

      A) 7

      B) 8

      C) 9

      D) 10

      E) 11

      Qs. 35:How many 4-digit numbers can be formed using numbers 3, 2, 4 and 7 without repeating the digits?

      A) 16

      B) 20

      C) 24

      D) 28

      E) 32

      Qs. 36:A pattern has 14 red triangles to every 25 orange triangles. What is the ratio of red triangles to all triangles?

      A) 7:39

      B) 7:5

      C) 25:39

      D) 14:25

      E) 14:39

      Qs. 37:A video game that usually costs $55.25 is marked down 40%. What is its new price?

      A) $23.15

      B) $33.15

      C) $15.25

      D) $13.25

      E) $29.15

      Qs. 38:The sum of Miya and Brody’s ages is 43. Miya is 5 years older than Brody. How old is Miya?

      A) 38

      B) 27

      C) 19

      D) 26

      E) 24

      Qs. 39:387 is 45% of what number?

      A) 17,415

      B) 174.15

      C) 860.75

      D) 860

      E) 1,245

      Qs. 40:What is the sum of prime numbers within 20–40?

      A) 100

      B) 120

      C) 140

      D) 160

      E) 180

      English Practice Test

      You have 45 minutes to read the passage and answer the question

      Based on your reading of the story, write an essay to answer the following question: What was the important lesson of the story? Do you agree with the writer’s message?

      Age Is Just a Number

      Getting to college is one of every person’s dreams. For all, finishing college is the stepping stone to have a great future. That is the reason why parents really try to send their children to college and do everything that they can to support all their children’s school needs. However, not everyone is fortunate. Some really can’t afford to go to college. Instead of studying, they are forced to work at an earlier age. Some decided to work first to save for studying, but others never really had a chance to study.

      That is why I am really grateful to my parents. It’s been two years when I graduated from college, but I can still remember my college days. The memories are still fresh in my mind like they happened yesterday. I can still hear my

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