British International School, Ajman Mathematics Entrance Test for Year 8
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Questions and Answers

What is the perimeter of a regular hexagon with a side length of 7 cm?

  • 49 cm
  • 42 cm (correct)
  • 35 cm
  • 56 cm
  • What is the mean of the cricket player's scores in 4 matches: 60, 120, 140, and 80 runs?

  • 85 runs
  • 125 runs
  • 100 runs
  • 110 runs (correct)
  • What is the probability of picking a yellow ball from a bag containing 4 red, 6 green, 8 yellow, and 2 blue balls?

  • 3/10 (correct)
  • 2/5
  • 1/2
  • 1/4
  • What is the value of $y$ in the equation $3y - 8 = 13$?

    <p>$9$</p> Signup and view all the answers

    If $x + 3 = 10$, what is the value of $x$?

    <p>$6$</p> Signup and view all the answers

    In the expression $4p - 2q + 6p - q$, what is the coefficient of $q$?

    <p>$-3$</p> Signup and view all the answers

    What is the value of $rac{5}{6} + rac{1}{9}$?

    <p>$rac{7}{8}$</p> Signup and view all the answers

    What is the result of multiplying $-2.5$ by $4$?

    <p>$-9.5$</p> Signup and view all the answers

    Convert the given decimal into fraction: 8.523 = __________

    <p>8523/1000</p> Signup and view all the answers

    Find the value of y: (1.5) 5 + 2y = 17. Answer: y = __________

    <p>6</p> Signup and view all the answers

    Evaluate the following: 72 - 23 = ________________

    <p>49</p> Signup and view all the answers

    Round the following number to one decimal place: 5.150 = ____________

    <p>5.2</p> Signup and view all the answers

    The square root of 144 is ____________

    <p>12</p> Signup and view all the answers

    25% of 200 is ____________

    <p>50</p> Signup and view all the answers

    Find the perimeter of the given regular hexagon with side = 7 cm: ________ cm

    <p>42</p> Signup and view all the answers

    Find the mean for the following data: Scores of a cricket player in 4 matches: 60 runs, 120 runs, 140 runs, 80 runs: Mean = ________

    <p>100</p> Signup and view all the answers

    Find the mode, median and range for the following data: Math marks for 10 students are: Mode = ________

    <p>No unique mode</p> Signup and view all the answers

    A ball is picked at random from a bag containing 4 red, 6 green, 8 yellow, and 2 blue balls. Find the probability of getting a yellow ball: Probability = ________

    <p>0.4</p> Signup and view all the answers

    Study Notes

    Mathematics Entrance Test

    • The test is for 8th grade students and consists of 4 sections: Numeracy and Algebra, Process and Application, Geometry and Measures, and Statistics and Data Handling.
    • The test duration is 40 minutes, and the maximum marks are 30.

    Section A (Numeracy and Algebra)

    • Convert decimals to fractions, e.g., 8.523 = ?
    • Solve linear equations, e.g., 5 + 2y = 17
    • Simplify algebraic expressions, e.g., 2a – 3b + c + 7b – 6c – 4a
    • Evaluate expressions, e.g., 72 - 23 = ?
    • Round numbers to one decimal place, e.g., 5.150 = ?
    • Subtract fractions, e.g., ?
    • Perform arithmetic operations, e.g., -10 + 2 + (-3) = ?
    • Calculate square roots, e.g., √144 = ?
    • Calculate percentages, e.g., 25% of 200 = ?
    • Convert units, e.g., 9 centimeters = ? millimeters

    Section B (Process and Application)

    • Calculate the total weight of suitcases, e.g., 15.5 kg, 20.29 kg, 19.02 kg, and 23.7 kg
    • Divide quantities equally, e.g., 650 pencils shared among 5 students
    • Solve problems involving unknown numbers, e.g., if subtracting 5 from a number gives 9, find the number
    • Calculate fractions of quantities, e.g., if John spends 1/5 of his money on clothes, how much does he spend?

    Section C (Geometry and Measures)

    • Find unknown angles in triangles, e.g., ?
    • Calculate the length of a rectangle given its area and width, e.g., area = 48 cm², width = 6 cm
    • Find the perimeter of a regular hexagon, e.g., side = 7 cm

    Section D (Statistics and Data Handling)

    • Calculate the mean of a set of data, e.g., scores of a cricket player in 4 matches: 60, 120, 140, 80
    • Find the mode, median, and range of a set of data, e.g., math marks for 10 students
    • Calculate the probability of an event, e.g., picking a yellow ball from a bag with 4 red, 6 green, 8 yellow, and 2 blue balls
    • Analyze data to answer questions, e.g., which month had the greatest number of books read?

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    Description

    This quiz is designed for students applying to Year 8 at British International School, Ajman. It covers topics like converting decimals to fractions, solving equations, simplifying expressions, and evaluating mathematical expressions. Test your numeracy and algebra skills in this 40-minute assessment.

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