Sometimes true, always true,never true

These are statements which you need to decide whether are sometimes true, always true or never true. When the answer is sometimes true, you might need to give an example of when it is true and when it is false!

A triangle has all angles acute. Answer : sometimes true true : all angles are 60⁰ false : example angles of 100⁰, 60⁰ and 20⁰

A number squared is always bigger than the original number. Answer : Sometimes true True : 4 squared = 16 ( bigger than 4) False : ½ squared = 1 4 ( smaller than ½ )

A quadrilateral has 4 right angles Answer : Sometimes Ture: a rectangle has four 90⁰ angles False : a quadrilateral can have 100⁰, 110⁰, 70⁰, 80⁰

Two odd numbers give an even number when multiplied False Try any two numbers 5 x 7 = 35 ( odd)

The diagonals of a rectangle cut each other at 90⁰ False

A number gets bigger when you multiply it by 5 Answer : Sometimes True 7 x 5 = 35 0 x 5 = 0

A triangle has two right angles Answer: false Since the three angles of a triangle have to add up to 180⁰, two angles of 90 would already add up to 180 so the third angle would have to be 0 !

A square number is always positive Answer : True 3 squared = 9 ( positive) (-3) squared = 9 ( positive)

A negative number multiplied by a positive number is negative Answer : True -2 x 8 = -16

10/x is smaller than 10 Answer : sometimes true True : x = 2 10/2 = 5 False : x = ½ 10 ÷ ½ = 20

HINT For the numerical answers, try three numbers A positive number A negative number A decimal number If all three agree then answer is either true or false If one of them does not agree, then it is sometimes true.