Numeracy Intermediate November 2021 Unit 2 Q6
6. In a science lesson, 13 students calculated an estimate of the area of their skin.
The results are shown on the scatter diagram below.
(a) Arwyn is the only student who made an error in his calculation.
He is one of the tallest students.
What is Arwyn’s calculated estimate of the area of his skin?
Circle your answer. [1]
He is one of the tallest students.
What is Arwyn’s calculated estimate of the area of his skin?
Circle your answer. [1]
1·79 m2 1·94 m2 1·02 m2 1·20 m2 1·04 m2
(b) Which term best describes the correlation between a person’s height and the estimate of the area of their skin?
Circle your answer. [1]
Circle your answer. [1]
No correlation Spread Certain Positive Negative
(c) Garth is 5 cm taller than Ella.
The calculated estimate of the area of Ella’s skin is 1·54 m2.
How tall is Garth? [2]
The calculated estimate of the area of Ella’s skin is 1·54 m2.
How tall is Garth? [2]
Garth is …………… m tall
(d) Bryn is 1·50 m tall.
Abigail is 18% taller than Bryn.
Find Abigail’s calculated estimate of the area of her skin. [3]
Abigail is 18% taller than Bryn.
Find Abigail’s calculated estimate of the area of her skin. [3]
Abigail’s estimate of the area of her skin is …………… m2
| Scheme | Marks | Comments |
|---|---|---|
| 1.04 m2 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Positive | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| Garth’s height 1.65 (m) | B2 | Accept 165 cm written in the answer space, but must state cm, allow 165 cm without the ‘m’ crossed out Allow B1 for 165 written in the answer space B1 Correct working, Ella’s height 1.6(0 m) or 160 (cm) or Garth’s area of skin 1.7 (m2) . Allow this:
|
| Scheme | Marks | Comments |
|---|---|---|
| (Height) 1.18 × 1.5 or equivalent | M1 | |
| 1.77(m) | A1 | CAO. Ignore any units given |
| (Area of skin) 1.9(m2) | A1 | CAO. Ignore any units given |