C

1003158506

Level: 
C
Let there be the first nine terms of an arithmetic sequence with the first term a1=1 and the difference d=1. Suppose we are creating ordered triples of 3 different numbers out of the given 9 numbers so that they form 3 consecutive terms of a geometric sequence. How many of such triples can be created?
8
6
4
3
9

1003158503

Level: 
C
Let there be four numbers, such that the first three numbers form consecutive arithmetic sequence terms with a difference of d=−6, and the last three numbers form consecutive terms of a geometric sequence with the common ratio q=23. Find the fourth number.
8
18
12
−24
−4

1003158502

Level: 
C
Let there be two unknown positive numbers between numbers 12 and 54. The first three numbers of these four form 3 consecutive arithmetic sequence terms, and the last 3 numbers form three consecutive terms of a geometric sequence. Find the smaller of the two unknown numbers.
24
36
15
20
32

1103170608

Level: 
C
Let there be an equilateral triangle with a side length of 16cm. Connecting the centres of its sides with line segments we form another equilateral triangle. If we add two more triangles using the same procedure, what is the sum of their areas?
853cm2
1283cm2
34143cm2
90cm2
1483cm2

1103170607

Level: 
C
Let there be an equilateral triangle with a side length of 16cm. Connecting the centres of its sides with line segments we form another equilateral triangle. If we add three more triangles using the same procedure, what is the sum of their perimeters?
93cm
72cm
144cm
31cm
90cm