Linear equations and inequalities

1003029701

Level: 
C
One and a half of a loaf of bread weighs as same as a quarter of a loaf of bread together with a kilo weight. If it is possible, find how much one loaf weighs. (Assume that all the loaves weigh the same.)
0.8kg
1.25kg
0.2kg
It is not possible to determine the exact weight of the loaf from the given information.

1003029702

Level: 
C
The comparative math test consists of the total of three problems. From students taking the test 16% solved correctly all three problems, 3/5 of the students made mistake in exactly one of the problems and 2/15 of the students made mistakes in exactly two of the problems. Eight students gave neither one of the problems. How many students wrote the test without a mistake?
12
75
45
10

1003029703

Level: 
C
A sample of 168 respondents of a sociological research splits into three categories according to nationality: Czech, Slovak and other. There is four times less Slovak respondents than Czech in the sample. The other nationality reported 85% less respondents than Czech nationality. Choose the equation that represents the algebraic relation between the nationalities of the sample and leads to evaluation of the number of people of the given nationality.
x+4x+4x⋅15100=168, where x is the number of people of the Slovak nationality
x+x4+x⋅154⋅100=168, where x is the number of people of the Slovak nationality
x+4x+4x⋅85100=168, where x is the number of people of the Slovak nationality
x+4x+4x⋅15100=168, where x is the number of people of the Czech nationality

1003029704

Level: 
C
Tom is 15 years old and his grandpa is 67. How many years will it take for the grandpa to be three times as old as Tom? Choose the equation which represents the algebraic solution to the given word problem.
67+x=3⋅(15+x)
67=3⋅x
67=3⋅(15+x)
3⋅(67+x)=3⋅(15+x)