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Practice — Number • Sets and Venn diagrams

Two sets and Venn diagrams: check 1
Difficulty: ★★☆
5029
Info
M4U-EXT-QP-0580-TWO-SET-VENN-O1

Maths4U Original · Short practice

The universal set has 18 members. The disjoint counts are: A only 6; B only 5; both 2; neither 5.

Find n(A∪B).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Two sets and Venn diagrams: review variant 1
Difficulty: ★★☆
5030
Info
M4U-EXT-QP-0580-TWO-SET-VENN-O1-V1

Maths4U Original · Short practice

The universal set has 22 members. The disjoint counts are: A only 7; B only 6; both 3; neither 6.

Find n(A∪B).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Two sets and Venn diagrams: check 2
Difficulty: ★★☆
5031
Info
M4U-EXT-QP-0580-TWO-SET-VENN-O2

Maths4U Original · Short practice

The universal set has 22 members. The disjoint counts are: A only 7; B only 6; both 3; neither 6.

Find n(A∩B).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Two sets and Venn diagrams: review variant 2
Difficulty: ★★☆
5032
Info
M4U-EXT-QP-0580-TWO-SET-VENN-O2-V1

Maths4U Original · Short practice

The universal set has 22 members. The disjoint counts are: A only 8; B only 7; both 4; neither 3.

Find n(A∩B).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Two sets and Venn diagrams: check 3
Difficulty: ★★☆
5033
Info
M4U-EXT-QP-0580-TWO-SET-VENN-O3

Maths4U Original · Short practice

The universal set has 22 members. The disjoint counts are: A only 8; B only 7; both 4; neither 3.

Find the number in A only.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Two sets and Venn diagrams: review variant 3
Difficulty: ★★☆
5034
Info
M4U-EXT-QP-0580-TWO-SET-VENN-O3-V1

Maths4U Original · Short practice

The universal set has 26 members. The disjoint counts are: A only 9; B only 8; both 5; neither 4.

Find the number in A only.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Two sets and Venn diagrams: check 4
Difficulty: ★★☆
5035
Info
M4U-EXT-QP-0580-TWO-SET-VENN-O4

Maths4U Original · Short practice

The universal set has 26 members. The disjoint counts are: A only 9; B only 8; both 5; neither 4.

Find n(A′).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Two sets and Venn diagrams: review variant 4
Difficulty: ★★☆
5036
Info
M4U-EXT-QP-0580-TWO-SET-VENN-O4-V1

Maths4U Original · Short practice

The universal set has 18 members. The disjoint counts are: A only 3; B only 4; both 6; neither 5.

Find n(A′).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Three sets and set notation: check 1
Difficulty: ★★☆
5037
Info
M4U-EXT-QP-0580-THREE-SET-VENN-O1

Maths4U Original · Short practice

The disjoint regions of a universal set are: A only 4; B only 7; C only 3; AB only 4; AC only 3; BC only 2; ABC 2; outside all three 6. Pair-only counts exclude the third set.

Find n(A∪B∪C).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Three sets and set notation: review variant 1
Difficulty: ★★☆
5038
Info
M4U-EXT-QP-0580-THREE-SET-VENN-O1-V1

Maths4U Original · Short practice

The disjoint regions of a universal set are: A only 5; B only 8; C only 4; AB only 1; AC only 4; BC only 3; ABC 3; outside all three 7. Pair-only counts exclude the third set.

Find n(A∪B∪C).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Three sets and set notation: check 2
Difficulty: ★★☆
5039
Info
M4U-EXT-QP-0580-THREE-SET-VENN-O2

Maths4U Original · Short practice

The disjoint regions of a universal set are: A only 5; B only 8; C only 4; AB only 1; AC only 4; BC only 3; ABC 3; outside all three 7. Pair-only counts exclude the third set.

Find the number belonging to exactly two sets.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Three sets and set notation: review variant 2
Difficulty: ★★☆
5040
Info
M4U-EXT-QP-0580-THREE-SET-VENN-O2-V1

Maths4U Original · Short practice

The disjoint regions of a universal set are: A only 6; B only 9; C only 5; AB only 2; AC only 5; BC only 4; ABC 1; outside all three 8. Pair-only counts exclude the third set.

Find the number belonging to exactly two sets.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Three sets and set notation: check 3
Difficulty: ★★☆
5041
Info
M4U-EXT-QP-0580-THREE-SET-VENN-O3

Maths4U Original · Short practice

The disjoint regions of a universal set are: A only 6; B only 9; C only 5; AB only 2; AC only 5; BC only 4; ABC 1; outside all three 8. Pair-only counts exclude the third set.

Find n(A∩B), including any members also in C.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Three sets and set notation: review variant 3
Difficulty: ★★☆
5042
Info
M4U-EXT-QP-0580-THREE-SET-VENN-O3-V1

Maths4U Original · Short practice

The disjoint regions of a universal set are: A only 2; B only 3; C only 6; AB only 3; AC only 1; BC only 5; ABC 2; outside all three 2. Pair-only counts exclude the third set.

Find n(A∩B), including any members also in C.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Three sets and set notation: check 4
Difficulty: ★★☆
5043
Info
M4U-EXT-QP-0580-THREE-SET-VENN-O4

Maths4U Original · Short practice

The disjoint regions of a universal set are: A only 2; B only 3; C only 6; AB only 3; AC only 1; BC only 5; ABC 2; outside all three 2. Pair-only counts exclude the third set.

Find the number outside A∪B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Three sets and set notation: review variant 4
Difficulty: ★★☆
5044
Info
M4U-EXT-QP-0580-THREE-SET-VENN-O4-V1

Maths4U Original · Short practice

The disjoint regions of a universal set are: A only 3; B only 4; C only 7; AB only 4; AC only 2; BC only 6; ABC 3; outside all three 3. Pair-only counts exclude the third set.

Find the number outside A∪B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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