Higher June 2017 Paper 2 Q17
17.
(a) Robin has a rectangular blanket made from 100% wool.
Robin knows that the wool in his blanket has a mass of 136 g per m2.
The mass of his blanket is 952 g.
The width of his blanket is 2·5 m.
Calculate the length of Robin’s blanket. [3]
Robin knows that the wool in his blanket has a mass of 136 g per m2.
The mass of his blanket is 952 g.
The width of his blanket is 2·5 m.
Calculate the length of Robin’s blanket. [3]
(b) Rugs are made from a material that is a mix of polyester and recycled plastic.
The polyester in the material has a mass of 120 g per m2.
The recycled plastic in the material has a mass of 140 g per m2.
Dafina buys one of these rugs.
The rug is rectangular. Its width is 1·5 m and length is 2 m.
The label on the rug says it is made from 65% polyester and 35% recycled plastic.
Show that Dafina’s rug has a mass of less than 400 g.
You must show all your working. [4]
The polyester in the material has a mass of 120 g per m2.
The recycled plastic in the material has a mass of 140 g per m2.
Dafina buys one of these rugs.
The rug is rectangular. Its width is 1·5 m and length is 2 m.
The label on the rug says it is made from 65% polyester and 35% recycled plastic.
Show that Dafina’s rug has a mass of less than 400 g.
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| 952 ÷ 136 (= 7) | M1 | OR 952 ÷ 2.5 with ÷ 136 |
| ÷ 2.5 | m1 | |
| 2.8 (m) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 0.65 × 1.5 × 2 × 120 (234) + (+) 0.35 × 1.5 × 2 × 140 (147) | M3 | For a complete method including the intention to add M2 for sight of both products of the 4 numbers, or M2 for intention to add products of at least 3 correct numbers M1 for sight of one correct product of 4 numbers, or M1 for sight of both products of at least 3 correct numbers, or M1 for intention to add products of at least 2 correct numbers |
| 381 (g) (< 400 g) | A1 | CAO |
| (7) |