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Numeracy Foundation June 2019 Unit 1 Q7

7. Sunflower seeds come in a packet.

Sunflower seeds

Plant in May

Grow to heights of up to 90 cm (36 inches)

Dieter planted 8 sunflower seeds in May.
He labelled the sunflowers A, B, C, D, E, F, G and H.

On 21st August, he measured the heights of all the sunflower plants in cm.

Dieter then drew a graph, as shown below.

Vertical line graph of Height (cm) from 0 to 80 for sunflowers A to H: A 80, B about 43, C 50, D about 73, E 50, F about 65, G about 73, H 30
(a) Use the graph to answer each of the following questions.
(i) What fraction of the height of the tallest sunflower is the height of the shortest sunflower?
Circle your answer. [1]

\(\dfrac{3}{10}\)    \(\dfrac{3}{7}\)    \(\dfrac{3}{5}\)    \(\dfrac{3}{8}\)    \(\dfrac{3}{80}\)

(ii) What is the ratio of the number of sunflowers with heights less than 55 cm to the number of sunflowers with heights greater than 55 cm?
Circle your answer. [1]

5 : 3    3 : 5    1 : 3    3 : 1    1 : 1

(b) Dieter’s friend, Glyn, also planted sunflower seeds.
Glyn’s tallest sunflower grew to a height of 24 inches.
Is this taller or shorter than Dieter’s tallest sunflower?
You must show all your working to support your answer. [2]

Taller than Dieter’s tallest sunflower   ☐
Shorter than Dieter’s tallest sunflower   ☐