Divisibility Rules, Free Math Test

Complete the test and get an award.

Fifteen questions on the divisibility rules for 2, 3, 4, 5 and 9: spotting divisible numbers, finding a missing digit, using two rules at once and a word problem. Eleven questions are multiple choice and four ask you to type the answer; the maximum score is 19 points.

Question 1 (1 point)

Which of the following numbers is divisible by 2?

[tex]8{,}473[/tex]

[tex]2{,}649[/tex]

[tex]3{,}874[/tex]

[tex]6{,}285[/tex]

Question 2 (1 point)

Which of the following numbers is divisible by 5?

[tex]5{,}432[/tex]

[tex]2{,}553[/tex]

[tex]3{,}504[/tex]

[tex]4{,}320[/tex]

Question 3 (1 point)

Which of the following numbers is divisible by 4?

[tex]78{,}146[/tex]

[tex]85{,}356[/tex]

[tex]95{,}614[/tex]

[tex]61{,}238[/tex]

Question 4 (1 point)

To find out whether [tex]73{,}548[/tex] is divisible by 4, which number should you check?

[tex]48[/tex]

[tex]8[/tex]

[tex]73[/tex]

[tex]27[/tex]

Question 5 (1 point)

Which of the following numbers is divisible by 2 but NOT divisible by 4?

[tex]56{,}288[/tex]

[tex]37{,}434[/tex]

[tex]12{,}844[/tex]

[tex]34{,}752[/tex]

Question 6 (1 point)

Which of the following numbers is divisible by 3?

[tex]53{,}633[/tex]

[tex]36{,}961[/tex]

[tex]10{,}641[/tex]

[tex]88{,}423[/tex]

Question 7 (1 point)

Which of the following numbers is divisible by 9?

[tex]5{,}274[/tex]

[tex]9{,}858[/tex]

[tex]2{,}659[/tex]

[tex]7{,}293[/tex]

Question 8 (2 points)

Write the missing digit so that the number is divisible by 9:
[tex]52[/tex][tex]7[/tex]

Question 9 (1 point)

Which statement is true?

Every number that is divisible by [tex]3[/tex] is also divisible by [tex]9[/tex].

Every number that is divisible by [tex]9[/tex] is also divisible by [tex]3[/tex].

Every number that ends in [tex]9[/tex] is divisible by [tex]9[/tex].

A number whose digits add up to [tex]12[/tex] is divisible by [tex]9[/tex].

Question 10 (1 point)

In which group are ALL the numbers divisible by 3?

[tex]6{,}428[/tex]; [tex]8{,}532[/tex]; [tex]5{,}472[/tex]

[tex]1{,}243[/tex]; [tex]5{,}136[/tex]; [tex]2{,}719[/tex]

[tex]3{,}333[/tex]; [tex]6{,}666[/tex]; [tex]9{,}991[/tex]

[tex]1{,}647[/tex]; [tex]2{,}358[/tex]; [tex]3{,}069[/tex]

Question 11 (2 points)

How many of these numbers are divisible by 9?
[tex]126[/tex]; [tex]237[/tex]; [tex]351[/tex]; [tex]468[/tex]; [tex]573[/tex]; [tex]804[/tex]

Answer:

Question 12 (1 point)

Which of the following numbers is divisible by both 3 and 4?

[tex]263{,}512[/tex]

[tex]126{,}510[/tex]

[tex]694{,}140[/tex]

[tex]365{,}127[/tex]

Question 13 (1 point)

Which of the following numbers is divisible by both 4 and 5?

[tex]32{,}960[/tex]

[tex]43{,}250[/tex]

[tex]24{,}615[/tex]

[tex]71{,}324[/tex]

Question 14 (2 points)

What is the smallest four-digit number that is divisible by both 3 and 5?

Answer:

Question 15 (2 points)

A school has [tex]1{,}390[/tex] notebooks. It wants to pack them in boxes of 9 so that every box is full and no notebook is left over. What is the smallest number of notebooks the school must add?

Answer:

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