Year 5 Probability Worksheet: Calculating Chance Using Fractions with a Spinner

Let’s go step by step to solve the spinner and rectangle coloring problems.

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Part 1: Spinner Probabilities

The spinner is divided into 8 equal sections. Let’s list what’s in each section (going clockwise from top):

- Top: B
- Top-right: C
- Right: A
- Bottom-right: b
- Bottom: A
- Bottom-left: D
- Left: D
- Top-left: a

So the 8 sections are:
B, C, A, b, A, D, D, a

That’s:
- Capital letters: B, C, A, A, D, D → 6 total
- Lowercase letters: b, a → 2 total
- Vowels (A, a): A, A, a → 3 total
- Consonants: B, C, b, D, D → 5 total

Now let’s answer each question:

a) Chance of landing on:

i) B or b?
→ B appears once, b appears once → total 2 out of 8
→ Fraction: 2/8 = 1/4

ii) A or a?
→ A appears twice, a appears once → total 3 out of 8
→ Fraction: 3/8

iii) C?
→ C appears once → 1 out of 8
→ Fraction: 1/8

iv) D?
→ D appears twice → 2 out of 8 = 1/4

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b) Chance of NOT landing on:

i) b or B?
→ First, chance of landing on b or B = 2/8 = 1/4
→ So chance of NOT landing on them = 1 - 1/4 = 3/4
(Alternatively: 8 - 2 = 6 sections not b or B → 6/8 = 3/4)

ii) C?
→ Chance of landing on C = 1/8
→ So chance of NOT landing on C = 1 - 1/8 = 7/8

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c) Chance of landing on:

i) a capital letter?
→ Capitals: B, C, A, A, D, D → 6 out of 8
→ Fraction: 6/8 = 3/4

ii) a lower-case letter?
→ Lowercase: b, a → 2 out of 8 = 1/4

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d) Chance of landing on a vowel?

→ Vowels here are A and a.
→ A appears twice, a appears once → total 3
→ Fraction: 3/8

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Part 2: Colour the rectangles

There are 6 rectangles total (2 rows × 3 columns).

We need to colour parts to match the given probabilities.

Remember: Probability = (number of coloured rectangles) / (total rectangles = 6)

So:

a) 1/3 chance of blue
→ 1/3 of 6 = 2 rectangles → colour 2 rectangles blue

b) 1/3 chance of green
→ Also 2 rectangles → colour 2 rectangles green

c) 1/6 chance of red
→ 1/6 of 6 = 1 rectangle → colour 1 rectangle red

d) 2/12 chance of yellow
→ Simplify 2/12 = 1/6 → same as above → 1 rectangle → colour 1 rectangle yellow

Check: 2 + 2 + 1 + 1 = 6 → perfect, all rectangles used.

Note: The problem doesn’t say they can’t overlap, but since it says “colour the rectangles to represent”, we assume each rectangle gets one colour. So we assign:

- 2 blue
- 2 green
- 1 red
- 1 yellow

You can arrange them any way — for example:

Row 1: Blue, Blue, Green
Row 2: Green, Red, Yellow

Or any other combination that adds up correctly.

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Final Answer:

a) i) 1/4
ii) 3/8
iii) 1/8
iv) 1/4

b) i) 3/4
ii) 7/8

c) i) 3/4
ii) 1/4

d) 3/8

For part 2:
Colour 2 rectangles blue, 2 green, 1 red, and 1 yellow.