standard form gcse style questions

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Hamilton Community College1Standard Form Exam Questions1.(a)Work out3.2 105 2.89 104Give your answer in standard form.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................Answer .................................................(3)2.In the box are six numbers written in standard form.(a)(i)Write down the largest number............................................................................................................................(1)(ii)Write your answer as an ordinary number............................................................................................................................(1)(b)(i)Write down the smallest number............................................................................................................................(1)(ii)Write your answer as an ordinary number............................................................................................................................(1)3. (a)(3.24 102) (2.4 103)Give your answer in standard form.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................Answer ....................................................(2)4.p = 5.4 107andq = 3.5 106Calculate the value of each of the following.Give all your answers in standard form.(a)p q....................................................................................................................................................................................................................................................................(2)(b)5p + 8q......................................................................................................................................................................................................................................................................................................................................................................................................(2)(c)p q........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................(2)5.(a)Work out4 107 6 10 5giving your answer in Standard Form.(2)(b)Work outgiving your answer in Standard Form.(2)(c)Work out(4 105)2giving your answer in Standard Form.(2)6.(a)p = 3.7 104Write p as an ordinary number.(1)(b)Work out each of the following.Give your answers in standard form.(i)5.2 104 + 9.6 105......(2)(ii)........(2)7.(a)Work out4 108 5 106Give your answer in standard form...........................................Answer ................................................(2)(b)Work outGive your answer in standard form...........................................Answer ................................................(3)8.On a Saturday 1.5 million copies of a newspaper are printed.(a)Write 1.5 million in standard form........................................................................................................................................................................................................................................................................Answer ...........................................(1)(b)Each copy of the newspaper has 80 pages.Calculate the total number of pages printed on a Saturday.Give your answer in standard form...............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................Answer ...........................................(2)(c)The total weight of the newspapers is 3 105 kg.Calculate the weight of one newspaper.Give your answer in grams..................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................Answer ........................................... g(3)9.Calculate 15% of 3 107Give your answer in standard form.............................................................................Answer ............................................(Total 2 marks)10.Last year the population of the United Kingdom was approximately 5.3 107.(a)An average of 680 per person was spent on food last year in the United Kingdom.What was the total amount spent on food last year in the United Kingdom?Give your answer in standard form.......(3)(b)Last year there were 1.4 107 car drivers in the United Kingdom.They spent a total of 1.5 1010 on their cars.What was the average amount spent by each car driver?Give your answer to a suitable degree of accuracy.......(3)11.A rectangular picture measures 1.2 102 cm by 4.3 103 cm.(a)What is the perimeter of the picture?Give your answer in standard form.Remember to state the units in your answer................(2)(b)What is the area of the picture?Give your answer in standard form.Remember to state the units in your answer................(3)12.The surface area of the Earth is approximately 1.971 108 square milesThe surface area of the Earth covered by water is approximately 1.395 108 square miles.(a)Calculate the surface area of the Earth not covered by water.Give your answer in standard form................................................................................................................................................................................................................................................................................................................................................................................................................(3)(b)What percentage of the Earths surface is not covered by water?....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................(2)