6. Correct answer: (A)
A figure of 3 lines intersecting at a point
The pair of angles that is NOT sufficient for determining all six angle measures.
Topic(s): Vertical angles, supplementary angles
In order to determine all the six angles, given the value of two angles, the two given angles must be part of a line.
This will then allow us to calculate the third angle (supplementary angles). Then, we can determine the other three angles (vertical angles)
Check the answers to find out which pair does NOT form a line
(A) t and z does not form part of a line
(B) t and y forms part of a line
(C) s and x forms part of a line
(D) r and t forms part of a line
(E) r and s forms part of a line
Correct answer: (A)
7. Correct answer: (C)
The sum of 2 numbers that differ by 1 is t
The value of the greater of the 2 numbers in terms of t
Topic(s): Integer problems
Let x be the greater number
x – 1 be the smaller number
Given the sum of the numbers is t i.e.
x + x – 1 = t ⇒ 2x = t + 1 ⇒
8. Correct answer: (A)
A table that shows how many students in a class of 12 had 0, 1, 2 or 3 siblings
A new student joined the class and the average number of siblings per student becomes equal to the median number of siblings per student
The number of siblings the new student had
The median of 12 items is the average of the 6th and 7th item.Looking at the table, the numbers of siblings of the 6th and 7th students are both 1. So, the median is 1.
If we add another student then we would have 13 students.The median would be the number of siblings of the 7th student.
We then check whether adding this new student would change the median. If the new student has 0 or 1 sibling, the 7th student still has 1 sibling.If the new student has 2 or 3 siblings, the 7th student still has 1 sibling.The median would still be 1 even after we add the new student.
Let n be the number of siblings of the new student.
Given average = median
Answer: (A) 0
9. Correct answer: 2/5, .4
2(x – 3) = 8
10. Correct answer: 128
Twice a number decreased by 3 is 253
Topic(s): Translating words to equations
Let n be the number
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.