Patterns And Relations Worksheet - Grade 7 Page 6
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46Which numbers are divisible by 4? By 8? By 10?
3.
How do you know?
a) 212
b) 512
c) 5450
d) 380
e) 2132
f) 12 256
Maxine and Tony discuss divisibility.
4.
Maxine says,“260 is divisible by 4 and by 5.
4
5
20, so 260 is also divisible by 20.”
Tony says,“148 is divisible by 2 and by 4.
2
4
8, so 148 is also divisible by 8.”
Are both Maxine and Tony correct? Explain your thinking.
Write 3 numbers that are divisible by 8.
5.
How did you choose the numbers?
Assessment Focus
6.
a) Use the divisibility rules for 2, 4, and 8 to sort these numbers.
1046
322
460
1784
28
54
1088
224
382
3662
b) Draw a Venn diagram with 3 loops.
Label the loops: “Divisible by 2,”“Divisible by 4,” and “Divisible by 8”
Explain why you drew the loops the way you did.
Place the numbers in part a in the Venn diagram.
How did you decide where to place each number?
c) Find and insert 3 more 4-digit numbers in the Venn diagram.
Use the digits 0 to 9. Replace the
in each number to make
7.
a number divisible by 4. Find as many answers as you can.
a) 822
b) 211 4 8
c) 15
32
Take It Further
A leap year occurs every 4 years.
8.
The years 1992 and 2004 were leap years.
What do you notice about these numbers?
Was 1964 a leap year? 1852? 1788? Explain.
Compare the divisibility rules for 4 and 8.
How can you use one rule to help you remember the other?
9
1.1 Patterns in Division
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