Number Theory flashcards

17 practice cards drawn from the Number Theory lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.

Read the Number Theory lessons in full →

Multiply 2 × 3 × 5 × 7 × 11 and add 1. What do you get?

2311

from “Euclid’s Proof That Primes Never Run Out”

Multiply 2 × 3 × 5 × 7 and add 1. What do you get?

211

from “Euclid’s Proof That Primes Never Run Out”

What is 13 mod 5?

3

from “Modular Arithmetic on a Clock Face”

What is 31 mod 12?

7

from “Modular Arithmetic on a Clock Face”

What is 829 mod 9?

1

from “Casting Out Nines to Check Arithmetic”

What is 447 mod 9?

6

from “Casting Out Nines to Check Arithmetic”

Does 1/2 stop or recur?

stops

from “Why Every Fraction Terminates or Recurs”

Does 1/11 stop or recur?

recurs

from “Why Every Fraction Terminates or Recurs”

0.666… recurring is which fraction?

6/9

from “Why 0.999… Equals Exactly One”

0.333… recurring is which fraction?

3/9

from “Why 0.999… Equals Exactly One”

0.888… recurring is which fraction?

8/9

from “Turning Recurring Decimals into Fractions”

0.555… recurring is which fraction?

5/9

from “Turning Recurring Decimals into Fractions”

What is the biggest unit fraction that fits inside 2/3?

1/2

from “Egyptian Fractions and the Greedy Algorithm”

What is the biggest unit fraction that fits inside 3/4?

1/2

from “Egyptian Fractions and the Greedy Algorithm”

If a is odd, what follows?

is odd

from “The Square Root of Two Is Irrational”

If is even, what follows?

a is even

from “The Square Root of Two Is Irrational”

Work this continued fraction out

7/5

from “Continued Fractions”

Practice these in the app — your progress saves there.