SELF-ASSESSMENT

1 a) Classify the following numbers into natural numbers, integers, rational numbers and real numbers:

3 4 6 – ; 2π; . log 05 2 ; . 347 # ; 2.03333…; 81 ; 4 3 ; 3 5 ; – 9 13 ; – 8 b) Which are irrational? c) Put them in order from smallest to largest. anayaeducacion.es Solutions to these problems. a) () 3 32 3 2 + c) 50 5 2 2 – b) 54 26 150 –+ d) 23 10 2 –

2 Which numbers represent A, B, C and D.

7 Operate and simplify.

8 Apply the definition of logarithm, or use a calculator, to operate: a) log3 9 1 3 b) log2 32 1 2 4 cm

9 Find the value of x in each case: a) logx 73 – 2 = b) log 20 2 x = c) loglog x 51 += a) Express them in scientific notation and calculate the GDP per capita for each country. Give a limit of absolute and relative error in each case. b) What is the percentage of GDP in Estonia compared to Spain, Finland and France?

3 This table shows the population and annual GDP in millions of euros in some EU countries.

10 Calculate the area of the annulus between the inscribed and circumscribed circumferences in a 6 m2 square. Give the exact value.

4 a) Write the following number sets in interval form and represent them on a number line: i) ≤ x –<27 ii) x –1 > iii) | x | < 4 b) Write the following intervals as inequalities: A = [–3, 4) B = (–∞ , 3 ) c) Express A ∪ B y A ∩ B as intervals and as inequalities.

5 Express in exponential form: a) 5 6 3 b) 7 2 4 c) 6 d) a 1 4 – e) () –3 5 3 a) Find the exact measurement of the side of the octagon. b) Calculate its area. c) Calculate its radius.

6 Take out all the possible factors from the radical.

11 We cut a right-angled isosceles triangle from each corner of a square with 10 cm sides to obtain a regular octagon.

Look back at the content you have worked on and plan solutions to the problems that you may find. To do this, download the assessment from anayaeducacion.es, think individually and share in groups.

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