Numeracy Foundation June 2023 Unit 2 Q6
6. In 2018, the costs of making phone calls from the UK to some overseas countries were as shown in the tables below.
| International rate (pence per minute) | ||
|---|---|---|
| Band | To landlines | To mobiles |
| A | 30 | 60 |
| B | 60 | 90 |
| C | 120 | 150 |
| Band | Countries |
|---|---|
| A | Canada, Hong Kong, Japan |
| B | Albania, China, Pakistan |
| C | Argentina, Kenya, Tonga, Zambia |
(a)
(i)
Calculate the cost of making a \(2\frac{1}{4}\) hour phone call to a mobile in China.
Give your answer in pounds. [3]
£ ……………
(ii)
A one hour phone call cost £72.
Was this call made to a landline or a mobile?
Was this call made to a country in Band A, Band B or Band C?
You must show all your working. [3]
Tick (✓) the two correct boxes.
Landline ☐ Mobile ☐
Band A ☐ Band B ☐ Band C ☐
(b)
The table below gives the exchange rates in September 2018.
| £1 exchange rate | |||
| Japan 143.42 yen | Pakistan 159.21 rupees | Argentina 47.85 peso | Tonga 2.96 pa’anga |
A phone call to a landline in Japan cost 2151.30 yen.
Calculate:
- the cost of this phone call, in pounds,
- how long the phone call lasted, in minutes. [4]
Cost £ ……………
Phone call lasted …………… minutes
| Scheme | Marks | Comments |
|---|---|---|
| (i) 2¼ × 60 × 90 or 60 × 90 × 2 + 15 × 90 or 135 × 90 or 2¼ × 60 × 0.9(0) or 2¼ × 54 or equivalent | M2 | May be seen in stages Must be an indication of a full and complete method that could lead to a correct answer Allow M2 if initially a correct method is seen but an incorrect interpretation of ¼ is seen in further working, e.g. as 0.15 or 25 minutes. Do not award M2 if the start of working contains an error, e.g. 2.15 × 60 × 90 (M1) or 120 × 90 with 25 × 90 (M1) M1 for any one of the following:
|
| (£) 121.5(0) | A1 | CAO. Answer space takes precedence An answer of 12150(p) is M2 A0 |
| (ii) 72(.00) ÷ 60 or 60 × 120 = 7200 or 60 × 1.2 = 72 or 6 × 12 = 72 or equivalent or 120(p) (per minute) or (£)1.2(0) (per minute) | M1 | Working must be shown to support choice of boxes Allow M1 for Landline and C selected with working for Band A (£)18 or 1800(p) and Band B (£)36 or 3600(p) |
| Landline, Band C | A2 | Both boxes must be indicated A1 for explicit sight of 120(p) or (£)1.2(0) (per minute) (not embedded) If no marks, award SC1 for boxes Landline and Band C indicated |
| Scheme | Marks | Comments |
|---|---|---|
| (Cost in £) 2151.3(0) ÷ 143.42 (£) 15 | M1 A1 | Answer space takes precedence, if blank may be implied in further working Allow from a trial and improvement method |
| (Length of call) 15 ÷ (0.)3(0) or 1500 ÷ 30 or 50 × (0.)30 = 15(.)00 or equivalent | m1 | Allow a place value error in intended division, e.g. 15 ÷ 3 FT ‘their 2151.3(0) ÷ 143.42’ |
| 50 (minutes) | A1 | CAO with no incorrect working seen Answer space takes precedence If answers are reversed ((£)50 and 15 (minutes)), award M1 A0 m1 A1 (not from incorrect working) |