SELF-ASSESSMENT

1 Write: a) The first four multiples of 17. b) All the divisors of 72.

2 Find: a) The first multiple of 17 after 1 000. b) A two-digit number that is a divisor of 415.

3 Write the prime numbers between 20 and 40.

4 Indicate which of the following numbers are multiples of 2, 3, 5 and 10:

897 - 765 - 990 - 2 713 - 6 077 - 6 324 - 7 005

5 Decompose the numbers 150 and 225 into prime factors. 150 = 2 · · · 225 = 3 · · · a) GCD (150, 225) b) LCM (150, 225) a) 6 – 11 + (9 – 13) b) 2 – (5 – 8) c) (7 – 15) – (6 – 2)

6 Calculate.

7 Calculate.

8 Calculate.

5 – [2 – (3 – 2)] a) 4 · 5 – 3 · (–2) + 5 · (–8) – 4 · (–3) b) (10 – 3 · 6) – 2 · [5 + 3 · (4 – 7)] c) 10 – 10 · [– 6 + 5 · (– 4 + 7 – 3)]

9 Reduce to a single power.

(x 3)3 f) (–5)7 : (–5)5 anayaeducacion.es Solutions to these problems. a) Write the coordinates of the vertices, A, B, C, D and of its centre, M. b) Imagine you rotate it, around M, so that A is on A l (4, 2). Write the coordinates of the new vertices, A l , B l , C l and D

10 A clothes shop puts a batch of t-shirts on sale, all at the same price. The first day they sell t-shirts with a total value of €221, and on the second day they sell even more t-shirts, with a value of €272 . What is the price of one t-shirt?

11 You want to divide a rectangular plot, which is 100 m wide and 120 m long, into square plots that are as large as possible. What length should the sides of each plot be?

12 In a factory, a gas valve can be heard every 45 seconds, and an industrial hammer every 60 seconds. If you just heard the two sounds simultaneously, when will they coincide again?

13 A tower is built using wooden cubes with 45 cm edges. Next to it, another tower is built with plastic cubes with 60 cm edges. At what height will both towers be the same size?

14 The sum of two integers is 4, and the sum of their absolute values is 16. Which numbers are they?

15 Look at the square.

LEARNING SITUATION

THINK

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

TEST YOUR SKILLS

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