The diagram below shows a piece of string, AB, that is 8 cm long. The string is to be cut into two pieces in the ratio 1 : 3.
How far from A should the cut be made? [1]
Cut should be made …………… cm from A.
(b)
The diagram below shows black and white counters.
Use the diagram to help you answer these questions.
(i) What fraction of the counters are black? [1]
(ii) What is the ratio of the number of black counters to the number of white counters? [1]
(iii)
What is the smallest number of extra black and white counters that need to be added to the diagram above so that the ratio of black counters to white counters is 2 : 3? [2]
Extra black …………… Extra white ……………
(c)
£85.75 is being shared between Zayn and Edith in the ratio 3 : 4.
How much money would each of them get? [3]
Mark scheme (a)
Scheme
Marks
Comments
2 or 6
B1
Mark scheme (b)
Scheme
Marks
Comments
(i) \(\frac{7}{15}\)
B1
(ii) 7:8
B1
(iii) 1 black counter and 4 white counters in the spaces or on the diagram
B2
B1 for sight of 8:12 B1 for showing an equivalent ratio of 2:3 or for two numbers that make the ratio 2:3 but are not the smallest numbers for answers of 8 and 12.
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