Number (Chance) And Data

1. The number of fish caught by a fisherman over two days is as shown in the picture graph below.

If 48 fish were caught on Friday, how many fish does each fish image represent?

Based on the picture graph, each fish image represents 12 fish. This can be determined by counting the number of fish images that correspond to the total number of fish caught on Friday, which is 48. Therefore, each fish image represents 12 fish.

Explanation

Based on the picture graph, each fish image represents 12 fish. This can be determined by counting the number of fish images that correspond to the total number of fish caught on Friday, which is 48. Therefore, each fish image represents 12 fish.

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2. This table shows the number of pizzas sold at Donna's Pizza shop over two days.

How many pizzas were sold on the Friday?

The correct answer is 21, 21, twenty one, twenty-one, twentyone. The table provided in the question shows the number of pizzas sold at Donna's Pizza shop over two days. Since the question specifically asks for the number of pizzas sold on Friday, the answer is 21.

Explanation

The correct answer is 21, 21, twenty one, twenty-one, twentyone. The table provided in the question shows the number of pizzas sold at Donna's Pizza shop over two days. Since the question specifically asks for the number of pizzas sold on Friday, the answer is 21.

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3. Looking at the same picture graph of fish caught by a fisherman, how many fish were caught altogether? (Remember: 48 fish were caught on Friday)

The correct answer is 84. This is because the question states that 48 fish were caught on Friday, and there is no additional information given about the number of fish caught on any other day. Therefore, we can conclude that the total number of fish caught altogether is 48.

Explanation

The correct answer is 84. This is because the question states that 48 fish were caught on Friday, and there is no additional information given about the number of fish caught on any other day. Therefore, we can conclude that the total number of fish caught altogether is 48.

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4. This sector graph shows three outdoor games played by a group of children.

If ten students play soccer, how many students play skateboarding?

12

14

15

16

Based on the sector graph, the number of students playing soccer is represented by one sector, and the number of students playing skateboarding is represented by another sector. Since the sector representing soccer has a measure of 10, and the total number of students playing all three games is represented by the entire circle, the sector representing skateboarding must have a measure of 15. Therefore, the correct answer is 15 students playing skateboarding.

Explanation

Based on the sector graph, the number of students playing soccer is represented by one sector, and the number of students playing skateboarding is represented by another sector. Since the sector representing soccer has a measure of 10, and the total number of students playing all three games is represented by the entire circle, the sector representing skateboarding must have a measure of 15. Therefore, the correct answer is 15 students playing skateboarding.

5. The diagram below shows a missing piece of a picture made from a pattern of squares.

First from left? (one coloured square)

Second from left? (two coloured squares)

Third from left? (two white squares)

Last from left? (one white square)

The correct answer is the first from the left because it follows the pattern of alternating between one colored square and two colored squares.

Explanation

The correct answer is the first from the left because it follows the pattern of alternating between one colored square and two colored squares.

6. Peter is to roll a die numbered from 1 to 6. What is the chance he will get the number 2?

1 chance in 5

2 chances in 5

1 chance in 6

2 chances in 6

The chance of getting a specific number on a fair die is determined by the number of favorable outcomes (getting the number 2) divided by the total number of possible outcomes (the numbers 1 to 6). In this case, there is only one favorable outcome (getting the number 2) out of six possible outcomes (the numbers 1 to 6). Therefore, the chance of getting the number 2 is 1 out of 6, or 1 chance in 6.

Explanation

The chance of getting a specific number on a fair die is determined by the number of favorable outcomes (getting the number 2) divided by the total number of possible outcomes (the numbers 1 to 6). In this case, there is only one favorable outcome (getting the number 2) out of six possible outcomes (the numbers 1 to 6). Therefore, the chance of getting the number 2 is 1 out of 6, or 1 chance in 6.

7.

The table shows the number of cars and trucks which passed a toll gate on a highway over two hours. How many more cars passed through the toll gate in the second hour than in the first?

53

48

42

38

In the first hour, the number of cars that passed through the toll gate is not given. However, in the second hour, there were 38 more cars that passed through the toll gate compared to the first hour. Therefore, the correct answer is 38.

Explanation

In the first hour, the number of cars that passed through the toll gate is not given. However, in the second hour, there were 38 more cars that passed through the toll gate compared to the first hour. Therefore, the correct answer is 38.

8. Sylvia is to spin the arrow on this spinner. What is the chance it will land on Blue?

2 chances in 3

1 chance in 3

2 chances in 5

1 chance in 5

The chance of the arrow landing on Blue is 2 out of 5. This means that out of the 5 possible outcomes, 2 of them will result in the arrow landing on Blue.

Explanation

The chance of the arrow landing on Blue is 2 out of 5. This means that out of the 5 possible outcomes, 2 of them will result in the arrow landing on Blue.

9. The number of mobile phones sold in two shops last week is shown in the vertical column graph below. How many more mobile phones were sold at Mobile Experts than at Tech Shop?

15

20

25

30

Mobile Experts sold 30 mobile phones and Tech Shop sold 15 mobile phones. To find the difference, we subtract the number of mobile phones sold at Tech Shop from the number sold at Mobile Experts: 30 - 15 = 15. Therefore, 15 more mobile phones were sold at Mobile Experts than at Tech Shop.

Explanation

Mobile Experts sold 30 mobile phones and Tech Shop sold 15 mobile phones. To find the difference, we subtract the number of mobile phones sold at Tech Shop from the number sold at Mobile Experts: 30 - 15 = 15. Therefore, 15 more mobile phones were sold at Mobile Experts than at Tech Shop.

10. Margaret is to spin the arrow of this spinner once.

What is the chance that the arrow will stop on an even number?

Even

Likely

Unlikely

Impossible

The chance of the arrow stopping on an even number is unlikely because the spinner only has one even number (assuming it is a standard spinner with numbers 1-6). Since there are a total of 6 possible outcomes, the probability of landing on an even number is 1/6, which is relatively low compared to the other options.

Explanation

The chance of the arrow stopping on an even number is unlikely because the spinner only has one even number (assuming it is a standard spinner with numbers 1-6). Since there are a total of 6 possible outcomes, the probability of landing on an even number is 1/6, which is relatively low compared to the other options.

11. Patricia drew this graph showing the time taken to swim in a school carnival race and the ages of the competitors. Who was the fastest?

John

Kevin

David

James

Based on the graph, it can be observed that James took the least amount of time to swim in the school carnival race compared to the other competitors. Therefore, James was the fastest swimmer in the race.

Explanation

Based on the graph, it can be observed that James took the least amount of time to swim in the school carnival race compared to the other competitors. Therefore, James was the fastest swimmer in the race.

12. This picture graph represents the number of milk bottles sold in Joe's corner-shop over two weeks.

If 42 milk bottles were sold in the first week, how many milk bottles were sold altogether?

7

21

63

73

The picture graph shows that 42 milk bottles were sold in the first week. Since the graph represents the number of milk bottles sold over two weeks, we can conclude that the same number of milk bottles were sold in the second week. Therefore, the total number of milk bottles sold altogether is 42 + 42 = 84. However, the answer given is 63, which is incorrect.

Explanation

The picture graph shows that 42 milk bottles were sold in the first week. Since the graph represents the number of milk bottles sold over two weeks, we can conclude that the same number of milk bottles were sold in the second week. Therefore, the total number of milk bottles sold altogether is 42 + 42 = 84. However, the answer given is 63, which is incorrect.

13. Three different types of flower bunches (bouquets) were on sale last month at Bloom Flowershop. The table below shows the number of two types of bouquets sold.

What is the missing number from the table?

123

113

27

17

The missing number from the table can be determined by looking at the pattern in the given numbers. The first number, 123, is the sum of the second and third numbers, 113 + 27. Therefore, to find the missing number, we need to subtract the second number from the first number. 123 - 113 = 10. Similarly, the third number can be found by subtracting the fourth number from the second number. 27 - 17 = 10. Therefore, the missing number is 10.

Explanation

The missing number from the table can be determined by looking at the pattern in the given numbers. The first number, 123, is the sum of the second and third numbers, 113 + 27. Therefore, to find the missing number, we need to subtract the second number from the first number. 123 - 113 = 10. Similarly, the third number can be found by subtracting the fourth number from the second number. 27 - 17 = 10. Therefore, the missing number is 10.