Data and charts · Ages 8–9

Probability as a fraction worksheet

Part of: Chance and probability

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Data and charts · Ages 8–9

Numsprite
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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.A ball is taken from the bag without looking. What is the chance of red 🔴, as a fraction?
Answer in simplest form
Answer:
2.This spinner's parts are all the same size. What is the chance of landing on red 🔴, as a fraction?
Answer in simplest form
Answer:
3.On the chance scale, what chance is the arrow pointing to, as a fraction?
Answer in simplest form
Answer:
4.A bag holds 2 red balls and some blue balls. The chance of taking red is 23. How many blue balls are there?
Answer:
5.A bag holds 1 red balls and some blue balls. The chance of taking red is 111. How many blue balls are there?
Answer:

6.A bag holds one card for each number from 1 to 8. Taking one without looking, the chance of number 3 is 13.
True or false?
Answer:
7.A bag holds one card for each number from 1 to 7. Taking one without looking, the chance of number 6 is 16.
True or false?
Answer:
8.The chance of taking a red ball is 14. Which describes it best?
- A. Red is impossible
- B. Possible, but less than an even chance
- C. An even chance
- D. Possible, and more than an even chance
Choose the right answer
Answer:
9.Which spinner gives a 15 chance of landing on red 🔴?
- A
- B
- C
- D
Choose the right picture
Answer:
10.The chance of taking a red ball is 411. Which describes it best?
- A. Red is impossible
- B. Possible, but less than an even chance
- C. Possible, and more than an even chance
- D. An even chance
Choose the right answer
Answer:
11.Which spinner gives a 16 chance of landing on red 🔴?
- A
- B
- C
- D
Choose the right picture
Answer:
12.The chance of taking a red ball is 28. Which describes it best?
- A. An even chance
- B. Red is impossible
- C. Possible, but less than an even chance
- D. Possible, and more than an even chance
Choose the right answer
Answer:

13.A lucky-draw box holds 13 tickets, 2 of which win. Taking one without looking, what is the chance of winning, as a fraction?
Answer in simplest form
Working:
Answer:
14.A box of mooncakes holds 1 lotus seed, 3 red bean and 6 mixed nut ones, all wrapped alike. Ka-yan takes one without looking. What is the chance of red bean, as a fraction?
Answer in simplest form
Working:
Answer:
15.A building's lift has buttons for B2, B1, G and floors 1 to 12. Ming presses one button with eyes closed. What is the chance it is a basement (B2 or B1), as a fraction?
Answer in simplest form
Working:
Answer:
16.Ka-yee puts number cards 1 to 11 in a bag and takes one without looking. What is the chance of an odd number, as a fraction?
Answer in simplest form
Working:
Answer:
17.A lucky-draw box holds 8 tickets, 5 of which win. Taking one without looking, what is the chance of winning, as a fraction?
Answer in simplest form
Working:
Answer:
18.Tsz-ching puts number cards 1 to 11 in a bag and takes one without looking. What is the chance of an odd number, as a fraction?
Answer in simplest form
Working:
Answer:

Show the answers and working

Probability as a fraction worksheet: Answers and working

1. 47
Count the red balls, then all the balls in the bag. Chance = wanted ÷ all.
4 red out of 7 balls: chance = 47.
2. 35
Count how many parts the spinner has altogether, and how many are red.
Count: 5 parts, 3 red, so the chance is 35.
3. 14
Count how many equal steps lie between the two ends of the scale, then how many steps from the left end the arrow is.
0 to 1 is split into 4 equal steps, and the arrow is 1 steps along: 14.
4. 1
23 means 3 balls in all, 2 of them red. What are the rest?
23 means 2 red out of 3 balls: blue = 3 − 2 = 1.
5. 10
111 means 11 balls in all, 1 of them red. What are the rest?
111 means 1 red out of 11 balls: blue = 11 − 1 = 10.

6. False
How many cards are in the bag altogether? How many of them are number 3?
There are 8 cards and only 1 is number 3: the chance is 18, whatever the number.
7. False
How many cards are in the bag altogether? How many of them are number 6?
There are 7 cards and only 1 is number 6: the chance is 17, whatever the number.
8. B. Possible, but less than an even chance
Compare 14 with a half: is double 1 less than, equal to or more than 4?
Compare 14 with 12 by putting double 1 against 4: less is under half, equal is exactly half, more is over half.
9. B
For each spinner, count: how many parts altogether, and how many red?
Only a spinner with 5 parts, 1 of them red, gives 15.
10. B. Possible, but less than an even chance
Compare 411 with a half: is double 4 less than, equal to or more than 11?
Compare 411 with 12 by putting double 4 against 11: less is under half, equal is exactly half, more is over half.
11. A
For each spinner, count: how many parts altogether, and how many red?
Only a spinner with 6 parts, 1 of them red, gives 16.
12. C. Possible, but less than an even chance
Compare 28 with a half: is double 2 less than, equal to or more than 8?
Compare 28 with 12 by putting double 2 against 8: less is under half, equal is exactly half, more is over half.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 213
Chance = wanted ÷ all. The wanted ones are the 2 winners: how many tickets are there in all?
2 winning tickets out of 13: 213.
14. 310
Work out how many mooncakes there are altogether, then see that 3 are red bean.
1 + 3 + 6 = 10 mooncakes, 3 of them red bean: 310.
15. 215
Count all the buttons first: B2, B1 and G, plus floors 1 to 12.
There are 2 + 1 + 12 = 15 buttons, 2 of them basements: 215.
16. 611
There are 11 cards. Count how many odd numbers there are from 1 to 11.
From 1 to 11, the odd numbers 1, 3, 5, … 11 make 6: 611.
17. 58
Chance = wanted ÷ all. The wanted ones are the 5 winners: how many tickets are there in all?
5 winning tickets out of 8: 58.
18. 611
There are 11 cards. Count how many odd numbers there are from 1 to 11.
From 1 to 11, the odd numbers 1, 3, 5, … 11 make 6: 611.

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