Conditionals, counterexamples and converses

Write the following statement as a conditional:

The girls play basketball on Sunday

Answer explanation

If the girls play basketball, then it is Sunday

Write the following statement as a conditional:

Guitar players have calluses on their fingers.

Answer explanation

If someone is a guitar player, then they have calluses on their fingers

Which options make the most sense?

If it _______, then the streets are _________

• raining, wet

• rains, dry

• rains, wet

• snows, dry

Which options make the most sense?

If an object is ________, then it is _______

• Glass, fragile

• Stone, fragile

• Green, blue

• fragile, glass

Answer explanation

If you picked "fragile, glass" remember that just because an object is fragile, doesnt necessarily mean that it is made of glass. It could be made of crystal!

Write the following statement as a conditional:

Good weather makes a picnic enjoyable

Answer explanation

If the weather is good, then a picnic is enjoyable.

Find a counterexample to the following conditional:

If an odd integer is less than 10, then it is prime.

Answer explanation

9

Provide a counterexample to the following conditional:

If you live in a country that borders the United States, then you live in Mexico.

Answer explanation

Canada

Provide a counterexample to the following conditional:

If you play a sport with a ball and a racket, then you play tennis.

Answer explanation

Racquetball, squash, badminton, ping pong etc.

Write the converse of this conditional:

If a triangle is a right triangle, then it has a 90 degree angle.

Answer explanation

If a triangle has a 90 degree angle, then it is a right triangle.

Is the converse of this conditional true?

If you play the flute, then you are a musician.

• Yes

• No