7 Three groups of people, A, B and C, have taken driving tests.
(a) Here is information about the number of tests taken by the people in A.
Here is information about the number of tests taken by the people in B.
One test
Half the number in A who have taken one test.
Two tests
4 fewer than the number in A who have taken two tests.
Three tests
10 more than the number in A who have taken three tests.
Complete this pictogram for the people in B. [3 marks]
(b) In group C there are 25 people.
17 of these people have passed a test.
One person is picked at random from C.
Work out the probability that the person has not passed a test. [2 marks]
Mark scheme (a)
Answer
Mark
Comments
(One test) One and a half symbols
B1
allow any orientation for the half circle
(Two tests) Three symbols
B1
(Three tests) Four symbols
B1
SC1 totals seen for either pictogram ie 12, 16, 6 for group A or 6, 12, 16 or 1.5, 3, 4 for group B
Additional guidance
Mark intention eg accept any attempt at circle and half circle symbol (unless obviously intended to be quarter or three-quarter circle) and allow different sizes and symbols such as plain circles
Two half circle symbols are not acceptable for a whole circle (unless joined to make a circle)
Alignment of symbols is not being tested
Apart from the Special Case, ignore numbers given
SC1 may be implied by 6, 12 and 16 symbols
B1B1B1
Mark scheme (b)
Answer
Mark
Comments
\(\dfrac{17}{25}\) or 0.68 or 68% or \(25 - 17\) or 8 seen
M1
oe may be seen in a calculation eg \(1 - \dfrac{17}{25}\)
\(\dfrac{8}{25}\) or 0.32 or 32%
A1
oe
Additional guidance
Ignore simplification or conversion if correct answer seen
\(\dfrac{8}{25}\) in working or on answer line with 8 on answer line
M1A0
Ignore words if correct answer seen eg \(\dfrac{8}{25}\) unlikely
M1A1
Answer 8 : 25 or 8 : 17 or 17 : 8 (even if correct answer also seen)
M1A0
8 out of 25 without correct answer seen
M1A0
Answer 17 : 25 only
M0A0
eg \(\dfrac{8}{17}\) or \(\dfrac{1}{8}\) or 8% implies 8
