1. 1) 8     15     18     33     39     41     51     57     60     81
From this list, write down
i) a factorof54,

ii) a multipleof19,

iii) a prime number.

2. 2) a. Write down all the factors of 16.
b. Write down a prime number between 30 and 40.

3. 3) 22    17    25    41    39    4
Work out the diffence between the two prime numbers in the list above.

4. 4) Write 432 as a product of its prime factors.

5. 5) Write 54 as a product of its prime factors.

6. 6) i) Write down the reciprocal of 15.

ii) Write down thevalueof15°.

iii) Write0.015 in standard form.

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13. 13) Roberto buys a toy for $5.00 .
He then sells itfor$4.60 .
Calculate his percentage loss.

14. 14) The price of a watch increases from $18 to $19.17.
Find the percentage increase in the price of this watch.

15. 15) The number of passengers on a train increases from 63 to 77.
Calculate the percentage increase.

16. 16) In 2015,therewere12400 visitors toa museum.
In 2016,therewere14100 visitors.
Calculatethepercentageincreasein thenumberof visitors from 2015 to2016.

17. 17) A box contains 22 coloured pencils.
6 pencils are pink, 9 pencils are blue and 7pencils are yellow.
Write down the ratio pink pencils : not pink pencils.
Give your answer in its simplest form.

18. 18) Zach is looking at the cost of his holiday.
The ratio of the costs flights : hotels = 3:8.
The cost of the flights is $861.
Work out the total cost of flights and hotels.

19. 19) A bag contains red marbles, green marbles and blue marbles only.
The ratio of the number of marbles of each color is
red : green : blue = 12 : 5 :2.
There are 112 more red marbles than green marbles.
Work out the number of blue marbles.

20. 20) Sami travels to work by bus.
The bus leaves the bus station at 0735.

i) It takes Sami 23 minutes to walk from his house to the bus station.
Work out the latest time Sami can leave his house.

ii) The bus journey takes 41 minutes.
Work out the arrival time of the bus.

21. 21) Sean is the manager of a museum.
He buys a Chinese pot costing 1200 yuan.
The exchange rate is $1 = 6.4 yuan.
Work out the cost of this pot in dollars.

22. 22) A chef buys some cheese from France.
200g of cheese costs 3.45 euros.
The exchange rate is $1 = 0.84 euros.
Work out the maximum mass of cheese the chef can buy with $150.
Give your answer in kilograms, correct to 1 decimal place.

23. 23) Jamie buys a clock for the café from Japan for 9395 yen.
The exchange rate is $1 = 110.27 yen.
Work out the cost of the clock in dollars, correct to the nearest cent.

24. 24) The next train from South ford to Teignley is at18:12.
The journey is 76 km and the train travels at an average speed of 48 km/h.
Work out the time that the train arrives in Teignley.

25. 25) In a survey of 50 visitors to the leisure centre, 18 used the gym.
Oneday,1500 people visited the leisure centre.
Calculate an estimate for the number of people who used the gym on this day.

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1. 1) Write down the order of rotational symmetry of the diagram.

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6. 6) Kim knows that one angle of an isosceles triangle is 48°.
He says that one of the other angles must be 66°.
Explain why Kim is wrong.

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9. 9) i) Write down the mathematical name for an 8−sided polygon.
ii) Work out the size of an interior angle of a regular 24−sided polygon.

10. 10) Calculate the size of one exterior angle of a regular 15−sided polygon.

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