British International School, Ajman Mathematics Entrance Test for Year 8

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18 Questions

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

42 cm

What is the mean of the cricket player's scores in 4 matches: 60, 120, 140, and 80 runs?

110 runs

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

What is the value of $y$ in the equation $3y - 8 = 13$?

$9$

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

$6$

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

$-3$

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

$rac{7}{8}$

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

$-9.5$

Convert the given decimal into fraction: 8.523 = __________

8523/1000

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

6

Evaluate the following: 72 - 23 = ________________

49

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

5.2

The square root of 144 is ____________

12

25% of 200 is ____________

50

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

42

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

100

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

No unique mode

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 = ________

0.4

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?

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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