Question

Which mathematical statements are true?

1) If 3 is an odd number, then 3 times 3 is an even number.

2) If 6 is less than 7, then 4 is greater than 7.

3) Six is divisible by 3, and 10 is a multiple of 2.

4) The average of the data is greater than the largest value in the data, or it’s less than the largest value in the data.

5) The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.

6) If an equilateral triangle has equal angles, then all its angles will measure 45°.

Answer 1

Answer: 2 following statements are true

The first true statement:

Six is divisible by 3, and 10 is a multiple of 2.

We know this because 6 is divisible by 3, and again proven by when we divide 10 by 5 we get 2, so 10 is a multiple of 2.

The second true statement:

The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.

Explanation:

Answer 2

1) If 3 is an odd number, then 3 times 3 is an even number.

False because multiplying odd number by an odd number also gives an odd number.

2) If 6 is less than 7, then 4 is greater than 7.

False because 4 is smaller than 6. As 6 is smaller than 7 then 4 must also be smaller.

3) Six is divisible by 3, and 10 is a multiple of 2.

True. 6/3 = 2 and 2 x 5 = 10. Both the conditions are true so it is also true.

4) The average of the data is greater than the largest value in the data, or it’s less than the largest value in the data.

True.

We have two conditions in this statement and an 'or' between them. One of the conditions is true that is "average is less than the largest value in the data". So the statement as a whole is true.

5) The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.

True.

6) If an equilateral triangle has equal angles, then all its angles will measure 45°.

False.

A triangle has 3 angles whose sum = 180 degrees.

For equilateral triangle each angle will measure 180/3= 60 degrees.