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Back to Exercise: Finite and Infinite Sets

Exercises: Finite and Infinite Sets

Work through each section in order. Give a reason where a problem asks for one.

Grade 7·17 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·sets-01
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A

Recall / Warm-Up

These problems review set notation you already know.

1.

Which of these is the correct roster notation for the set of the first three counting numbers?

A.

{1,2,3}\{1, 2, 3\}

B.

(1,2,3)(1, 2, 3)

C.

1,2,31, 2, 3

2.

How many elements are in the set {a,e,i,o,u}\{a, e, i, o, u\}?

B

Fluency Practice

1.

Is the set of grains of rice in a full sack finite or infinite?

A.

Finite — you could count every grain and the count would end.

B.

Infinite — there are far too many grains to count.

C.

Finite — but only because a sack is a small container.

2.

Is the set of all even numbers {2,4,6,8,…}\{2, 4, 6, 8, \ldots\} finite or infinite?

A.

Infinite — after any even number there is always a larger one, so the list never ends.

B.

Finite — even numbers go up in steps of two.

C.

Finite — there are exactly four elements shown.

3.

Which set is finite?

A.

The set of letters in the English alphabet.

B.

The set of all counting numbers.

C.

The set of all points on a straight line.

4.

The set {1,2,3,…,20}\{1, 2, 3, \ldots, 20\} has an ending number, so it is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   . It has   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   elements.

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