In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
Last year, Viktor’s total income before tax was 28 000 euros.
The tax bands, taxable income and tax rates for last year were as follows:
Viktor has already paid 3600 euros towards his income tax bill for last year. Calculate how much income tax Viktor still owes.
You must show all your working.
[9]
Delyth and Ronnie are both students at the local college.
Their houses and the college are all joined by straight roads, as shown in the diagram.
Delyth usually walks directly to college. Calculate how much further Delyth has to walk if she passes Ronnie’s house on her way
to college.
[5]
35 students were asked how far they travelled to the college. The results are recorded in the table below.
| Distance, d (metres) | Frequency |
100  d  200 | 9 |
200  d  1000 | 10 |
1000  d 3000 | 15 |
| 3000 d 7000 | 1 |
Calculate an estimate of the mean distance these 35 students travelled to the
college.
Estimate of the mean distance travelled by these 35 students is........ m
[4]
There are 140 students who travel by bus to and from college.
Delyth wants to find out why these students do not walk to college. She has decided to use a systematic sampling method to select 7 of these students to form a discussion group.
The names of all the 140 students are in a list. Delyth has randomly selected the 2nd student in the list to join the discussion group.
Complete the table below to give the positions in the list of the 7 students selected to
join the discussion group.
| Student | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Position in the list | 2nd | ...................... | ...................... | ...................... | ...................... | ...................... | ...................... |
[2]
Matteo’s car insurance has increased by 25% from the amount he paid last year. His car insurance is £750 this year.
Calculate the amount Matteo paid for his car insurance last year.
Matteo paid £........ for his car insurance last year.
[2]
The diagram below shows the front of Matteo’s garage.
Calculate the width of Matteo’s garage.
[5]
The area of Barbados is 432 km2. The population of Barbados in September 2019 was 287 106.
Calculate the population density of Barbados in September 2019.
Give your answer correct to 2 significant figures.
[3]
The density of some of the sand in Barbados is 1442 kg/m3.
Express this density in g/cm3.
[2]
At the end of which month, and in which year, will Rebecca have the £10 000 she needs?
You must show all your working.
Rebecca will have the £10 000 at the end of........ in the year........
[4]
Calculate the AER for Rebecca’s savings account.
Give your answer as a percentage, correct to 2 decimal places.
[2]
Rebecca’s friend, Seren, opened a similar savings account with Dragon Building Society on 1st June 2020, depositing £300. Seren then deposited £300 into the account on the 1st day of every month. By 30th November 2021, Seren had £5636.84 in the account.
How much interest had Seren received?
Circle your answer.
£236.84 £636.84 £836.84 £3836.84 £4136.84
[1]
A gift shop in Giza makes souvenir pyramids. They are based on the Great Pyramid. The shop paints all the faces of the souvenir pyramids. The base length of a souvenir pyramid is related to the total surface area to be painted by the formula:
where: • b is the base length • A is the total surface area to be painted.
Calculate the total surface area to be painted of a souvenir pyramid that has a
base length of 12 cm.
[3]
Two cruise ships, The Explorer and The Magellan, leave the same port at 06:30.
The Explorer sails at a speed of 30 km/h on a bearing of 051º. The Magellan sails at a speed of 35 km/h. The angle between the courses of the two ships when they set sail is 49º.
At 11:00, The Magellan comes to a stop due to engine failure. The diagram below shows the positions of the two ships at 11:00.
Immediately, The Explorer then heads directly towards The Magellan to pick up its passengers. It travels at a speed of 30 km/h. Calculate the time, to the nearest minute, when The Explorer will reach The Magellan.
Time when The Explorer will reach The Magellan is........
[7]
Calculate the bearing The Explorer has to sail on from 11:00 onwards to arrive at
The Magellan.
[5]
The paper as printed
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