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International UAS Exam, sample questions of mathematical skills

Read the questions carefully and select the answer that you think is correct. There is only one correct answer in each question.

Decimals are written with a decimal point, for example: 1.5.

You can try out the exam system’s built-in calculator, which you can open by clicking the 'Calculator' button (or by using the keyboard shortcut Shift + Alt + L or Cmd + Shift + L). Hide the calculator by clicking the 'X' icon (or by using the keyboard shortcut Shift + Alt + L or Cmd + Shift + L). Hiding the calculator does not erase the calculation displayed on the screen.

Sample question 1

Leon is six years older than his sister Anna. The age of their mother is four times the age of Anna. If the age of Leon is denoted by x, how should we denote the age of their mother?

Sample question 2

Eeva left for school at 7:53 and arrived there at 8:05. In the afternoon, she left for home at 14:23, stopped on the way to play with her friends, and was back home again at 15:11.

How much longer did the trip home from school take compared to the trip to school?

Sample question 3

A board is 450 centimetres long. It must be cut into three pieces in the ratio 1:2:6.

What is the difference in length between the shortest and the longest pieces?

Sample question 4

The number inside the triangle is determined based on the numbers at its vertices. What number should be inside the fourth triangle?

Question 4

Sample question 5

The parking fee in Zone A is 4 euros per hour, whereas in Zone B the fee is 3 euros per hour. Which of the following is correct?

Sample question 6

A specialist earns a basic salary plus a 3% pay rise. The total salary including the pay rise is 3578 €/month.

What is the correct way to calculate the monthly basic salary without the pay rise?

Sample question 7

On the traffic sign warning of a steep ascent, the percent figure 8% describes the steepness of the hill (i.e. there is a rise of 8 cm for each metre) (see the picture below).

Question 7

What is the percent of slope (the steepness of the hill) if there is a rise of 72 metres in 600 metres?

Sample question 8

Kevin, Philip and Anna were out skiing. Philip skied three kilometers more than Kevin. Anna skied one kilometre less than Kevin. Altogether they skied 23 kilometres.

How much did Anna ski?