Number Theory Part1

What is the least positive four-digit multiple of 7?

• 1000

• 1001

• 1002

• 1003

Enrico makes a list of the first twenty positive multiples of 3. Marie makes a list of the first ten positive multiples of 6. How many of the numbers on Marie's list are also on Enrico's list?

• 9

• 10

• 12

• 13

What is the largest multiple of 9 which is smaller than -70?

• -63

• -72

• -9

• -54

If x is a positive multiple of 8 and x²>100, but x<20 , what is x ?

• 0

• 8

• 16

• 24

The 5-digit number 5228◻ is a multiple of 6. Which digit is represented by ◻?

4

• 2

• 3

• 4

• 6

Tags

CCSS.4.OA.B.4

If an integer is divisible by 4 and the sum of its last two digits is 13 , then what is the product of its last two digits?

• 36

• 42

• 12

• 22

Tags

CCSS.7.NS.A.2A

CCSS.7.NS.A.2B

For how many different digits n is the three-digit number 14n divisible by n ?

Note: n refers to a three-digit number with the unit digit of 14n not the product of 14 and n?

• 3

• 4

• 5

• 6

Tags

CCSS.4.OA.B.4

Luna writes down all the five-digit numbers that contain each of the digits 1, 2, 3, 4 and 5 exactly once. What is the smallest number in Luna's list that is divisible by 6?

• 12345

• 12354

• 12435

• 11111

Tags

CCSS.5.OA.B.3

What is the remainder when the product of the 5 smallest me numbers is divided by 42?

• 0

• 1

• 2

• 3

Tags

CCSS.7.EE.B.3

Betty has between40and50pennies that she wants to arrange in a rectangular array. She notices she can arrange the pennies in three different ways without any gaps or spaces. However, if Betty adds two more pennies to her collection, she can only arrange the pennies in one way without any gaps or spaces: a straight line. How many pennies does Betty have?

• 41

• 43

• 45

• 47

Tags

CCSS.4.OA.B.4