Higher November 2017 Paper 6 Q5
5 A company makes sweets.
The sweets are put into packets.
Here are some facts.
(a) Calculate the mean number of sweets in one packet. [2]
(b) Sweets are made on 288 days each year.
Calculate the number of sweets made each year.
Give your answer in standard form. [3]
(c) The company has 152 machines making the sweets.
Each machine operates for 15 hours each day.
Each machine operates for 15 hours each day.
(i) Calculate the number of sweets made by one machine each hour.
Give your answer as an ordinary number correct to the nearest 10. [3]
Give your answer as an ordinary number correct to the nearest 10. [3]
(ii) State one assumption you have made in part (c)(i). [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 42 | 2 | M1 for \(\dfrac{1.47 \times 10^7}{3.5 \times 10^5}\) oe If 0 scored SC1 for figs 42 in answer | Eg. \(\dfrac{14\,700\,000}{350\,000}\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(4.2[3\ldots] \times 10^9\) | 3 | B2 for 4 233 600 000 oe as answer or M1 for their \(1.47 \times 10^7 \times 288\) If 0 scored SC1 for figs 423[...] in answer | Eg. \(423.[36] \times 10^7\) their \(1.47 \times 10^7\) converted from info in (a) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 6450 | 3 | B2 for 6447 to 6448 or M1 for \(\dfrac{1.47 \times 10^7}{(152 \times 15)}\) oe or figs 6447 in answer | May be in stages. NB: 152 × 15 = 2280 |
| (ii) Each machine makes the same amount of sweets or There are no breakdowns oe or Machines running at same rate oe or All machines run for the same time oe | 1 | ||