Numeracy Intermediate November 2021 Unit 2 Q5
5.
(a)
A bottle contains 250 grams of sun cream.
A website recommends that one application of sun cream is 1 ounce.
1 gram = 1000 milligrams
1 ounce ≈ 28 350 milligrams
Use this recommendation to answer the following question.
How many applications of sun cream are there in this bottle?
You must show all your working. [3]
(b)
Marie wants to buy some sun cream.
| Small bottle 100 ml for £1.42 | Large bottle 250 ml for £3.65 |
Which of the two bottles of sun cream offers the better value for money?
Small bottle ☐ Large bottle ☐
You must show all your working. [2]
| Scheme | Marks | Comments |
|---|---|---|
| 1000 × 250 ÷ 28350 or 250000 ÷ 28350 or 250 ÷ 28.35(0) | M2 | M1 for sight of appropriate digits with division with incorrect place value of mass(es) Do not allow for division inverted |
| 8.8(18...) (applications) | A1 | Do not FT from M1 Accept answers of 8 or 9 (applications) from correct working Ignore the unit of the answer given as ‘ounces’ |
Alternative
5(a) Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| 28(.)350 × 9 = 255(.)150 or 28(.)350 × 8.8 = 249(.)480 | M2 | Or for use of a value between 8.8 and 9 M1 for 28(.)350 × 8 = 226(.)800 and possible M1 for 250(.)000 – 226(.)800 = 23200 (mg) (which is < 28350 mg) OR M1 multiple of 28(.)350 × 9 = 255(.)150 or 28(.)350 × 8.8 = 249(.)480 with incorrect place value of mass(es) |
| 8.8(18...) (applications) | A1 | Do not FT from M1 Accept answers of 8 or 9 (applications) from correct working Ignore the unit of the answer given as ‘ounces’ Note: Sight of 28(.)350 × 8 = 226(.)800 only with an answer of 8 (applications) is awarded M1 A1 |
| Scheme | Marks | Comments |
|---|---|---|
Method to compare, e.g.
| M1 | Needs to show comparing like quantity with like Ignore any units given for M1 only |
Accurate comparison calculation, e.g.
Conclusion, Small bottle (better value) | A1 | If units are given they must be correct |