Ks3 Mathematics 10-4-10 Level 5 Answer Booklet Page 12

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DAY 4
Spinning
32
2
(a)
A spinner has eight equal sections.
16
4
8
4
1. Each section
3. Count how
8
8
is the same size
many sections
so each has an
contain 4.
equal
2. Count how many
probability of
sections there are,
occurring.
in this case eight.
Number of sections containing 4 = 2 = 1
What is the probability of scoring 4 on the spinner?
Total number of sections
8
4
1 mark
What is the probability of scoring an even number on the spinner?
Number of sections containing even numbers = 8 = 1 = 1
Total number of sections
8
1
1 mark
(b)
A different spinner has six equal sections and six numbers.
Because 2/3 is equivalent
2
to 4/6, we need to have
On this spinner, the probability of scoring an even number is
four even numbers on the
3
spinner.
1
The probability of scoring 4 is
3
Because 1/3 is equivalent to
2/6 we need two sections
NOW we know that there are
containing the number 4 on
FOUR EVEN numbers on the
the spinner.
spinner and two of these are
the number 4.
Write what numbers could be on this spinner.
A possible solution
We must
4
have two 4’s
ODD
Eg 3
4
2 marks
ODD
Eg 6
Two
Eg 5
EVEN
Odd
Two other
numbers
Eg 2
even numbers
EVEN
(not 4)
12

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