Olympiad Test: Patterns - 2 - Class 5 MCQ

Triangle changes its position from
centre to right hand bottom corner
and the arrow moves 90° clock
wise at the same position i.e. Left
hand top corner F will come after E.

in the series, 6 sided polygon will be the next

The position of small square moves
in the pattern of +1, +2, +3. So,
after leaving two corners. Position
(D) in answer figure is achieved.

In problem figure black dot moves three steps in clockwise direction and white dot moves two steps in clockwise direction.

1st Column – 3²–3 = 9–3 = 6
2nd Column – 8²–8 = 64 –8 = 56
So, pattern followed is X² –X = Y
So 1² –1 = 0

If we consider these columns as X,
Y and Z, then we get the pattern

X² + Z² = Y
3² + 4² = 9 + 16 = 25
7² + 8² = 49 + 64 = 113
6² + 8² = 36 + 64 = 100

The pattern followed is 3, 3², 3³, 4,
4², 4³, 5, 5², 5³.
So, 10 should be replaced by 9.

The pattern followed is +5,+7,+9,+11
5 + 5 = 10
10 + 7 = 17
17 + 9 = 26
26 + 11 = 37

So, 20,000 will replace 8000.

The pattern followed is 4×N
where N = no. of pattern

no. of circles in pattern 1
= 4×1 = 4
no. of circles in pattern 2
= 4×2 = 8
So the number of circles in pattern
= 4×10 = 40

In each successive figure one circle increases at outer and inner respectively.

Number inside the square is multiplication of numbers present on corners.
3×5×8×2 = 240
2×7×6×4 = 336
Similarly, 5×9 ×6 ×3 = 810

Star in each successive figure
moves one step clockwise.

In the problem figures the arrow moves 4, 3, 2 and 1 step respectively in clockwise direction and black dot moves 2, 3, 4 and 5 steps respectively in clockwise direction.

The series follows the following

The series follows the following
pattern
2×1+1 = 3
3×2 + 2 = 8
8 × 3 + 3 = 27
So, the number 9 is wrong and
should be replaced by 8.

In the given matrix following pattern
exits.
Centre row = (Top row + bottom
row)²
81 = (7 + 2)² = 9²
169 = (9+4)² = 13²
In the same way (11 + 6)² = 17² =
289

In Pattern 1, number of matchsticks
= 8 + 7(1–1)
In pattern 2, number of matchsticks
= 15 = 8+7(2–1)
In pattern 3, number of matchsticks
= 22 =8+7(3–1)
So, in pattern 5, number of
matchsticks = 8+7×(5–1)
= 8 + 7 × 4
= 8 + 28
= 36

Figure (D) completes the problem
figure (X)