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Identify the region representing "football only". This is the part of the TRIANGLE that does not overlap with the RECTANGLE (Tennis Ball) or the CIRCLE (Athletics).

Mathematics

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7 parts
7

C. 3\text{C. 3}

8

A. 1\text{A. 1}

9

C. 7\text{C. 7}

10

B. 4\text{B. 4}

11

B. 5\text{B. 5}

12

D. 2\text{D. 2}

13

B. 6\text{B. 6}

Step-by-step solution

14 steps

here are the solutions to questions 7 to 13 based on the provided Venn diagram.

Part 7· 2 steps

How many pupils like football only?

  1. Identify the region representing "football only".

    This is the part of the TRIANGLE that does not overlap with the RECTANGLE (Tennis Ball) or the CIRCLE (Athletics).

  2. From Figure 1, this region contains the number 3.

    The correct option is C. 3\boxed{\text{C. 3}}.

Part 8

A. 1\text{A. 1}

How many pupils like tennis ball only?

  1. Identify the region representing "tennis ball only".

    This is the part of the RECTANGLE that does not overlap with the TRIANGLE (Football) or the CIRCLE (Athletics).

  2. From Figure 1, this region contains the number 1.

    The correct option is A. 1\boxed{\text{A. 1}}.

Part 9

C. 7\text{C. 7}

How many pupils like athletics only?

  1. Identify the region representing "athletics only".

    This is the part of the CIRCLE that does not overlap with the TRIANGLE (Football) or the RECTANGLE (Tennis Ball).

  2. From Figure 1, this region contains the number 7.

    The correct option is C. 7\boxed{\text{C. 7}}.

Part 10

B. 4\text{B. 4}

How many pupils like all the three games?

  1. Identify the region where all three shapes (TRIANGLE, RECTANGLE, CIRCLE) overlap.

  2. From Figure 1, this central region contains the number 4.

    The correct option is B. 4\boxed{\text{B. 4}}.

Part 11

B. 5\text{B. 5}

How many pupils like athletics and football only?

  1. Identify the region where the CIRCLE (Athletics) and the TRIANGLE (Football) overlap, but not the RECTANGLE (Tennis Ball).

  2. The overlap between the CIRCLE and TRIANGLE includes regions 4 and 5.

    Region 4 also includes Tennis Ball. Therefore, the region for athletics and football only is 5.

    The correct option is B. 5\boxed{\text{B. 5}}.

Part 12

D. 2\text{D. 2}

How many pupils like football and tennis ball only?

  1. Identify the region where the TRIANGLE (Football) and the RECTANGLE (Tennis Ball) overlap, but not the CIRCLE (Athletics).

  2. The overlap between the TRIANGLE and RECTANGLE includes regions 2 and 4.

    Region 4 also includes Athletics. Therefore, the region for football and tennis ball only is 2.

    The correct option is D. 2\boxed{\text{D. 2}}.

Part 13

B. 6\text{B. 6}

How many pupils like athletics and tennis ball only?

  1. Identify the region where the CIRCLE (Athletics) and the RECTANGLE (Tennis Ball) overlap, but not the TRIANGLE (Football).

  2. The overlap between the CIRCLE and RECTANGLE includes regions 4 and 6.

    Region 4 also includes Football. Therefore, the region for athletics and tennis ball only is 6.

    The correct option is B. 6\boxed{\text{B. 6}}.

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