iGCSE Mathematics (0580) :C1.7 Understand the meaning of indices (fractional, negative and zero) and use the rules of indices. iGCSE Style Questions Paper 3

Question



The table shows the average temperature for Tromso, Norway each month.
(a) (i) Write down the month which had the highest average temperature.
(ii) How much warmer was it in September than in February?
(iii) The lowest temperature in October was 12.3°C below the average temperature for that
month.
Work out the lowest temperature in October.
(b) In a survey, some tourists were asked how they had travelled to Norway.
The pie chart shows the results.

(i) 150 of these tourists travelled by boat.
Show that 600 tourists took part in the survey.
(ii) Calculate the number of these tourists who travelled by plane.
(c) A train ticket from Oslo to Stavanger costs 885 krone.
There is a discount of 12% on the total cost of the tickets for a group of 10 or more people.
Calculate the cost of tickets for a group of 15 people.
(d) On 1 January 2000, the population of Norway was 4480 000, correct to 3 signifi cant fi gures.
(i) Write this number in standard form.
(ii) On 1 January 2011, the population of Norway was 4920000, correct to 3 signifi cant fi gures.
Calculate the percentage increase in the population.

Answer/Explanation

Answer:

(a) (i) July or Jul
(ii) 10.9
(iii) -9.6

(b) (i) \(150 \div \frac{90}{360}\) oe
(ii) 250

(c) 11682

(d) (i) \(4.48 \times 10^6\) cao
(ii) 9.82

Question

(a) (i) Write down all the factors of 22.
(ii) Write down a multiple of 13 between 30 and 50.
(b)      1      2      6     9     15      17      19      21      27
(i) Write down all the prime numbers in this list.
(ii) Write down a cube number from this list.
(c) (i) Write 0.0035 in standard form.
(ii) Calculate \((6.3 \times 10^6) \div (1.5 \times 10^2)\)
Write your answer in standard form.

Answer/Explanation

Answer:

(a) (i) 1, 2, 11, 22
(ii) 39

(b) (i) 2,17,19
(ii) 1 or 27

(c) (i) \(3.5 \times 10^{-3}\)
(ii) \(4.2 \times 10^4\)

Question

 (a) The area of Cuba, in square kilometres, is one hundred and five thousand eight hundred and six.
Write this number in figures.
(b) The population of an island is 103000.
Write this number in standard form.
(c) The table shows some populations in 2014.

(i) Write the population of St Maarten as an ordinary number.
(ii) Complete the statement.
The population of Haiti is approximately …………………. times the population of the
US Virgin Islands.
(iii) Find the difference between the population of Haiti and the population of Puerto Rico.
Give your answer in standard form.

(d) In 2013 the population of a town was 30405.
In 2014 the population was 30851.
Calculate the percentage increase in the population.
……………………………………..%

Answer/Explanation

Answer:

(a) 105 806

(b) \(1.03 \times 10^5\)

(c) (i) 46 100
(ii) 100
(iii) \(6.82 \times 10^6\)

(d) 1.47 or 1.466 to 1.467

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