Back to Exercise: Tests of Divisibility: 6, 8, 9, 10, and 11

Exercises: Tests of Divisibility: 6, 8, 9, 10, and 11

Work through each section in order. Use the divisibility tests rather than long division. Show your work where indicated.

Grade 7·21 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·patterns-01

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Recall / Warm-Up

Which of these numbers is divisible by 3? (A number is divisible by 3 when the sum of its digits is divisible by 3.)

$412$

$531$

$704$

Find the sum of the digits of $6{,}273$ .

Fluency Practice

Is $4{,}518$ divisible by 6?

Yes — it is even and its digit sum $18$ is divisible by 3.

No — it is not even.

No — its digit sum is not divisible by 3.

One of the numbers $470$ , $540$ , and $585$ is divisible by both 9 and 10. Which one is it?

Is $7{,}416$ divisible by 8?

Yes — the last three digits, $416$ , give $416 \div 8 = 52$ .

Yes — the digit sum $7 + 4 + 1 + 6 = 18$ is divisible by 8's factors.

No — $7{,}416$ is not divisible by 8.

$Five digit boxes for 3, 5, 7, 0, 6 with alternating plus and minus signs above them, showing the expression 3 minus 5 plus 7 minus 0 plus 6.$

Compute the alternating digit sum of $35{,}706$ (first digit minus second plus third minus fourth plus fifth), then state the single number it equals.

The last three digits of a 5-digit number are $312$ . Is that number divisible by 8? Answer $1$ for yes or $0$ for no.

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