Education Exams (Secondary Education (Mathematics)) – Page 6

#100. In Writing the news story, the following are to be avoided EXCEPT __________ .
A padding
B coloring
C editorializing
D playing up the dominant point
Answer: playing up the dominant point
#101. What is the time between 2 and 3 o'clock when the minute hand and hour hand respectively make angles with the line connecting the center of the clock and 3 o'clock mark in 2:1 ratio?
A 2:21.43
B 2:19.43
C 2:20.43
D 2:22.43
Answer: 2:21.43
#102. How soon after seven o'clock will the hands of a clock be together?
A 40.02 minutes
B 39.01 minutes
C 38.18 minutes
D 34.98 minutes
Answer: 38.18 minutes
#103. What time after midnight will the hands of a clock extend in opposite direction?
A 12:28.72
B 12:35.77
C 12:32.73
D 12:30.65
Answer: 12:32.73
#104. How soon after two o'clock will the hands of a clock form a 60 degrees angle?
A 24.96 mins
B 23.36 mins
C 22.75 mins
D 21.82 mins
Answer: 21.82 mins
#105. How soon after 12:00 will the hour hand and the minute hand of the clock form an angle of 120 degrees for the second time?
A 44.77 min
B 43.63 min
C 40.55 min
D 38.65 min
Answer: 43.63 min
#106. What is the angle between the hour and minute hands at 7:49?
A 61.25 degrees
B 59.50 degrees
C 60 degrees
D 50.75 degrees
Answer: 59.50 degrees
#107. A man left the office at past 3 o'clock. After 20 minutes on his return, he noticed that the minute hand is ahead of the hour hand exactly by as much as t was behind when he left. Estimate the time he leave.
A 3:07.38
B 3:05.37
C 3:06.36
D 3:04.35
Answer: 3:06.36
#108. At what time after 3 o'clock will the angle between the hands of the clock be bisected by the second hand?
A 3:00:07.57
B 3:00:08.47
C 3:00:06.37
D 3:00:04.67
Answer: 3:00:07.57
#109. At what time on 3 o'clock such that after one to two hours the position of the hands of the clock were interchanged?
A 3:24.43
B 3:25.43
C 3:26.43
D 3:27.43
Answer: 3:26.43
#110. How many times in one day will the hands of the clock be together?
A 11
B 22
C 12
D 24
Answer: 22
#111. In the sequence 4, 11, 18 ..., the first term is 4 and each term after the first is 7 more than the previous term. What is the 12th term of the sequence?
A 77
B 81
C 84
D 86
Answer: 81
#112. If (x-2)2 = 49, then x could be _______.
A -9
B 9
C 7
D -7
Answer: 9
#113. The average of t and y is 15 and the average of w and x is 15. What is the average of t, w, x and y?
A 15
B 30
C 7.5
D 60
Answer: 15
#114. If the statement "All of Kay's brothers can swim" is true, which of the following must also be true?
A If Fred cannot swim, then he is not Kay's brother
B If Fred cannot swim, then Fred is Kay's sister
C If Kay's brother cannot swim then he has no brother
D If Fred cannot swim, then he is not Kay's brother
Answer: If Fred cannot swim, then he is not Kay's brother
#115. A triangle is inscribed in a circle. One side of a triangle is the diameter of the circle. The triangle intersect the circle at points A, B and C. A line from point B is connected to the center of the circle (O), such that AB = BO. What is the degree measure of angle ABO?
A 45
B 30
C 60
D 90
Answer: 60
#116. Which of the following is not equal to \( \frac{a}{b} (bc+k)\)?
A \( a( \frac{c+k}{b})\)
B \( a( c+ \frac{k}{b})\)
C \( ( \frac{a}{b})(k + bc)\)
D \( ac + \frac{ak}{b})\)
Answer: \( a( \frac{c+k}{b})\)
#117. Three more than twice a number is equal to 4. What is the number?
A 0.333333333
B 0.6666666667
C 2
D 0.5
Answer: 0.5
#118. Find the area of the triangle with vertices (2, -5), (6, 2), (4, 1).
A 5 sq units
B 6 sq units
C 7 sq units
D 4 sq units
Answer: 5 sq units
#119. What is the area of the triangle with vertices (2, 3), (1, 1), (-2, -2)?
A 5/9 sq units
B 4/9 sq units
C 3/9 sq units
D 2/9 sq units
Answer: 3/9 sq units