SCIENTIFIC THINKING

Looking at these equations and inequalities, what

will the value of sin (y) be?

• A:-1/2

• B: 1/2

• C:-1/8

• D: 1/8

Look at the following formulae and find the correct answer:

A property of logarithms in base 10 states that the logarithm of a power of 10 is the same as the exponent that appears in the power

log(10 ^ x) = x

Knowing that n and m satisfy the formulae:

n = 10 ^ m and m ^ 2 + 10m + 25 = 0

What will the value of log(n) be?

A: 5

B: 1/5

C:-1/5

D:-5

• A

• B

• C

• D

Look at the following equations and consider the relationships where x, y, v, w are real numbers (positive). wy = 2 x - w = v x ^ 2 = 1/v
What happens to y if x increases?
A: It decreases
B: It increases
C: Not enough data to answer
D: It remains constant

• A

• B

• C

• D

A sculptor wants to create a huge cube made of many small wooden cubes. He has 359 small cubes available, all the same size. How many cubes will the sculptor use to create the largest work possible?
A: 359
B: 343
C: 316
D: 216

• A

• B

• C

• D

By simultaneously rolling two unrigged dice, what is the probability of getting "nine"?

A: 1/12

B: 1/9

C: 1/8

D: 1/4

• A

• B

• C

• D

If 3 craftsmen make 2 bedside tables in 1 day, how many bedside tables are made by 6 craftsmen in 8 days?

A: 56

B: 32

C: 4

D: 12

• A

• B

• C

• D

Alexander would like to repave the living room of his home, having dimensions 4x4 m He has chosen square tiles of side 20 cm that cost 5euro each. How much will he spend?

A: 1650 euros
B: 2000 euros

C: 710 euros

D: 1429 euros

• A

• B

• C

• D

You are doing research on the sales data of a new bike your company just launched on the market. This graph shows the number of bikes that were sold at a specific toy shop during 2022. The number of bikes sold is expressed in hundreds, whereas the profit correlated to those sales is expressed in thousands
Choose the correct statement:
A: The number of bikes sold in March was lower than August
B: The profit in April is the same as September
C: The number of bikes sold in March is 5
D: The number of bikes sold in November is 500

• A

• B

• C

• D

A new computer game is being developed and will come out soon: the basis of the game is that 5 players have to join a battle and players can attack and defend simultaneously, but the rule is that a player is limited to attacking one player at a time. Developers Alex, Bob, Chad, Daisy and Emily are testing the game. Here is how the game goes:

-Alex and Bob decide together that if Alex gets attacked by Chad, Mark will defend him and then attack Daisy. Bob and Alex decide that if Chad gets attacked by Bob, then Alex will defend him and attack.

-Emily and Daisy decide to team up and not attack one another, and the other agreement is that if Daisy attacks someone, then Emily will join in on the attack and help her.
-Daisy and Bob agree that they both will attack Alex if anyone attacks Bob

What's the correct consequence, if Bob attacks Chad?

A: D attacks C

B: C attacks B

C: E attacks A

D: C attacks A

• A

• B

• C

• D

In a theater there are 4 different switches which control the lights (6 in total) that illuminate the stage. Alex, Bob, Chad and Dylan are in control of the lights for an evening show, however there are some technical issues which make the lights turn on in specific ways (the even number lights are on, the uneven ones are turned off), using different switches: this requires them to adapt quickly to the changes.

The first switch controls the first three lights.
The second switch controls the last three lights. The third switch controls lights 3 and 4, while the fourth switch controls lights 1 and 6

Chad decides to stay in charge and control the second switch;
Bob controls the third switch, Alex controls the fourth switch and Dylan controls the first switch.

What is the order in which the 4 employees have to control and activate the switches in order to turn on all the lights and make the show continue?

A: Dylan, Alex, Bob

B: Chad, Dylan, Alex

C: Alex, Chad, Dylan

D: Bob, Chad, Alex

• A

• B

• C

• D