Data and charts · Ages 8–9

Experiments and their results worksheet

Part of: Chance and probability

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Data and charts · Ages 8–9

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

1.Ming tossed a coin and recorded the results in the table. How many times did Ming toss it?
Answer:
2.Tsz-hin spins a spinner and keeps a tally of the results. How many times did it land on blue 🔵?
Answer:
3.Ming spins a spinner and keeps a tally of the results. How many times did it land on blue 🔵?
Answer:
4.Ka-yee tossed a coin and recorded the results in the table. How many times did Ka-yee toss it?
Answer:
5.This spinner's parts are all the same size and all different colours. Ka-yan spins it 9 times. About how many times should each colour come up?
Answer:
6.This spinner's parts are all the same size and all different colours. Tsz-ching spins it 21 times. About how many times should each colour come up?
Answer:
7.Ka-lok spun a spinner 23 times and recorded the results, but the yellow box got smudged. How many times did it land on yellow 🟡?
Answer:
8.Tsz-ching spun a spinner 24 times and recorded the results, but the yellow box got smudged. How many times did it land on yellow 🟡?
Answer:

9.Tsz-ching took balls from a bag, putting each one back, and recorded the results. Which colour came up most often?
- A. Green 🟢
- B. Yellow 🟡
- C. Blue 🔵
- D. Red 🔴
Choose the right answer
Answer:
10.Ka-yan tossed a coin 38 times and got 24 heads. That is more heads than expected.
True or false?
Answer:
11.Ming tossed a coin 20 times and got 9 heads. That is more heads than expected.
True or false?
Answer:
12.Ka-yee took balls from a bag, putting each one back, and recorded the results. Which colour came up most often?
- A. Green 🟢
- B. Yellow 🟡
- C. Red 🔴
- D. Blue 🔵
Choose the right answer
Answer:

13.A bag holds 1 red ball and 3 blue balls. Tsz-ching takes a ball 16 times, putting it back each time. About how many times should it be red?
Working:
Answer:
14.Tsz-hin tosses a coin 26 times and gets 17 heads. How far is that from the expected number of heads?
Working:
Answer:
15.Tsz-ching tosses a coin 38 times and finds 8 more heads than tails. How many heads were there?
Working:
Answer:
16.Tsz-hin keeps a tally of dice rolls in groups of five. The row for 6 has 3 groups and 3 more marks, so 6 came up times. Tsz-hin rolled 32 times in all, so other scores came up times.
Fill in each blank
Working:
Answer:
17.Tsz-hin keeps a tally of dice rolls in groups of five. The row for 6 has 3 groups and 0 more marks, so 6 came up times. Tsz-hin rolled 22 times in all, so other scores came up times.
Fill in each blank
Working:
Answer:
18.A bag holds 1 red ball and 4 blue balls. Ka-yee takes a ball 25 times, putting it back each time. About how many times should it be red?
Working:
Answer:

Show the answers and working

Experiments and their results worksheet: Answers and working

1. 14
Every toss gives one result. Read off how many heads and how many tails are in the table.
Every toss gives one result: 10 heads and 4 tails make 14.
2. 10
Find the blue row. A group of five marks is 5: count the groups, then the marks left over.
Count the blue row's marks: each group of five is 5, plus the marks left over: 10.
3. 13
Find the blue row. A group of five marks is 5: count the groups, then the marks left over.
Count the blue row's marks: each group of five is 5, plus the marks left over: 13.
4. 26
Every toss gives one result. Read off how many heads and how many tails are in the table.
Every toss gives one result: 19 heads and 7 tails make 26.
5. 3
Count the spinner's colours. They are equally likely, so the 9 spins are shared equally among them.
The 3 colours are equally likely, so share 9 spins among them: 9 ÷ 3 = 3.
6. 7
Count the spinner's colours. They are equally likely, so the 21 spins are shared equally among them.
The 3 colours are equally likely, so share 21 spins among them: 21 ÷ 3 = 7.
7. 7
There were 23 spins in all. Read the red and blue counts from the table and take them away from the total.
All 23 spins subtract 8 red and 8 blue: 23 − 8 − 8 = 7.
8. 11
There were 24 spins in all. Read the red and blue counts from the table and take them away from the total.
All 24 spins subtract 10 red and 3 blue: 24 − 10 − 3 = 11.

9. A. Green 🟢
Read how many times each colour came up in the table, and find the biggest.
Compare: red 11, blue 2, yellow 4, green 12; the biggest came up most often.
10. True
Heads and tails are equally likely, so expect about half of the 38 tosses to be heads. Work out half first.
Heads and tails are equally likely, so 38 tosses should give about 19 heads; compare 24 with 19.
11. False
Heads and tails are equally likely, so expect about half of the 20 tosses to be heads. Work out half first.
Heads and tails are equally likely, so 20 tosses should give about 10 heads; compare 9 with 10.
12. C. Red 🔴
Read how many times each colour came up in the table, and find the biggest.
Compare: red 12, blue 4, yellow 1, green 8; the biggest came up most often.

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

13. 4 times
How many balls are in the bag altogether? About 1 in every that many tries is red.
There are 4 balls, so about 1 in every 4 tries is red: 16 ÷ 4 = 4.
14. 4 times
Heads and tails are equally likely, so about half of 26 should be heads. Work out that expected number first.
Heads and tails are equally likely, so expect about 26 ÷ 2 = 13; 17 and 13 differ by 4.
15. 23 times
Heads and tails make 38, with 8 more heads. Set the extra 8 aside first.
Heads and tails make 38, with 8 more heads: (38 + 8) ÷ 2 = 23 (15 tails).
16. 18, 14
Each group of five is 5. Work out 3 groups first, then add the 3 marks.
Each group is 5: 3 groups make 5 × 3, plus 3: 18; the others 32 − 18 = 14.
17. 15, 7
Each group of five is 5. Work out 3 groups first, then add the 0 marks.
Each group is 5: 3 groups make 5 × 3, plus 0: 15; the others 22 − 15 = 7.
18. 5 times
How many balls are in the bag altogether? About 1 in every that many tries is red.
There are 5 balls, so about 1 in every 5 tries is red: 25 ÷ 5 = 5.

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