Numeracy Intermediate June 2019 Unit 1 Q2
2. 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.
(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]
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]
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]
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 ☐
| Scheme | Marks | Comments |
|---|---|---|
| (i) \(\dfrac{3}{8}\) | B1 | |
| (ii) 1 : 1 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Selects or unambiguously implies ‘Shorter than Dieter’s sunflower’ AND
| E1 | Equivalents include:
|
Stating or giving any of the following
| B1 | B1 implies previous E1 provided ‘Shorter than Dieter’s sunflower’ selected |