Numeracy Foundation November 2022 Unit 1 Q9
9.
Hubert has a quote from a gardener to landscape his garden.
The gardener will charge a total of £175, excluding VAT.
This total charge includes £55 for plants.
The remainder of the charge is for labour.
The gardener says it will take 8 hours to landscape Hubert’s garden.
Calculate how much per hour the gardener is charging for labour. [2]
VAT at 20% is payable on the charge of £175.
Calculate the total charge of the landscaping, including the VAT. [3]
The following summer, Hubert picked 10 different flowers from his garden.
He measured the height of each flower.
He also counted the number of leaves on each flower.
Here are his results.
Is it possible to estimate the number of leaves on a flower of height 6 cm?
Yes ☐ No ☐
You must give a reason for your answer. [1]
How tall is the flower with the greatest number of leaves?
Circle your answer. [1]
26 cm 2·5 cm 7·5 cm 5 cm 17·5 cm
There are two flowers that each have 19 leaves.
Calculate the difference in the heights of these two flowers.
You must show all your working. [2]
Difference in the heights is …………………… cm
Calculate the percentage of the flowers that have fewer than 23 leaves. [2]
…………………… % of the flowers have fewer than 23 leaves.
| Scheme | Marks | Comments |
|---|---|---|
| (i) (175 – 55) ÷ 8 or 120 ÷ 8 | M1 | May be seen in stages |
| (£) 15 | A1 | CAO. Allow an embedded answer of 15, e.g. 8 × 15 = 120 |
| (ii) (Total including VAT is) 175 + 175 × 0.2(0) or 175 × 1.2(0) or equivalent | M2 | May be seen in stages M1 for (VAT) 175 × 0.2(0) or 17.5 + 17.5 (= 35) or equivalent |
| (£) 210 | A1 | If no marks, award
|
Corrected by Westie's Workshop
- The board's mark scheme printed “‘their 15’ from (b)(i)” in both special case (SC2 and SC1) lines. Changed to “‘their 15’ from (a)(i)” because the £15 is the answer to part (a)(i), not part (b)(i).
Original: see the board's mark scheme PDF (link above).
| Scheme | Marks | Comments |
|---|---|---|
| (i) ‘No’ selected or unambiguous implied with reason, e.g. ‘no correlation’ ‘no pattern’ ‘(points are) random’ ‘no trend’ ‘number of leaves is not affected by height’ | E1 | Allow, e.g. ‘No’ with ‘different flowers have different (numbers of) leaves’ ‘scattered’ ‘ the data (or answers) are not consistent’ Do not accept, e.g. ‘No’ with ‘there isn’t a leaf with height 6cm’ ‘it does not show on the graph’ ‘there is no data for 6’ ‘it doesn’t say how many there are’ ‘not enough research’ ‘sample too small’ ‘some points close together’ ‘data is not reliable’ |
| (ii) 7.5 cm | B1 | |
| (iii) 17.5 – 13 or 9 × 0.5 | M1 | Allow 13 – 17.5 |
| 4.5 (cm) | A1 | Answer space takes precedence Allow FT -4.5 (cm) from 13 – 17.5 If no marks, award SC1 for the difference correctly evaluated provided either 17.5 or 13 is correct |
| (iv) 80(%) | B2 | Answer space takes precedence B1 for sight of any of the following:
|