Which visual representation technique used to understand number sequence in mathematics?
- ATables
- BGraphs
- ✓Pictures
- DEquations
Answer: C.
View full solution →Question types
Patterns in Mathematics question types
63 questions across 8 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
63
Questions
8
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
22 Q→02Assertion (A) & Reason (B) MCQ
2 Q→03TRUE-FLASE [1 Marks Each]
7 Q→04BLANKS [1 Marks Each]
6 Q→051 Marks Question
5 Q→062 Marks Questions
18 Q→073 Marks Question
2 Q→08Match the following.
1 Q→Sample Questions
Patterns in Mathematics questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The missing term in the sequence 1, 3, 6,…, 15,… is
- A25
- B9
- ✓10
- D8
Answer: C.
View full solution →What sequence do we get when we start adding up Odd numbers?
- ✓Squares
- BCubes
- CTriangular Numbers
- DEven Numbers
Answer: A.
View full solution →Which of the following is an example of a shape sequence?
- ✓Regular polygons
- BAdding counting numbers up and down
- CAdding odd numbers to get square number
- DNone of the above
Answer: A.
View full solution →The sum of first five odd numbers is
- A16
- ✓25
- C9
- D36
Answer: B.
View full solution →Assertion (A) The next term in the sequence 2, 3, 5, 7, … is 11.
Reason (R) Prime numbers have two factors, which are 1 and itself.
Reason (R) Prime numbers have two factors, which are 1 and itself.
- ✓Both A and R are true and R is the correct explanation of A.
- BBoth A and R are true but R is not the correct explanation of A.
- CA is true but R is false.
- DA is false but R is true.
Answer: A.
View full solution →Assertion (A) The sequence 1, 3, 6,10, … is called Triangular Numbers.
Reason (R) The sequence 1, 4, 9, 16,… is called squares.
Reason (R) The sequence 1, 4, 9, 16,… is called squares.
- ABoth A and R are true and R is the correct explanation of A.
- ✓Both A and R are true but R is not the correct explanation of A.
- CA is true but R is false.
- DA is false but R is true.
Answer: B.
View full solution →A shape sequence starting with a triangle and adding one side each time would form polygons with increasing number Of sides.
The number 36 can be both a square number and a triangular number.
The sequence 1, 8, 27, 64, … is an example of square of numbers.
The missing term in the sequence 1, 3, 9, ..., 81, 243, 729, … is 16.
The sequence 1, 2, 3, 5, 8, 13, … is called Virahanka Numbers.
The pattern 1, 3, 5, 7, 9, … is a sequence of _______________ numbers.
The squares 1, 4, 9, 16, … represents the _______________ of numbers.
The missing term in the sequence 1, 10, ..., 1000, 10000, ..., is _______________ .
A _______________ polygon is a shape with all sides and angles equal.
The missing term in the sequence 3, 6, 9, …, 15, … is _______________ .
Find your own patterns or relations in and among the sequences in Table 1. Can you explain why they happen with a picture or otherwise?
Which sequence do you get when you start to add the All 1’s sequence up? What sequence do you get when you add the All 1’s sequence up and down?
By imagining a large version of your picture, or drawing it partially, as needed, can you see what will be the value of 1 + 2 + 3+……+99 + 100 + 99+…….+ 3 + 2 + 1?
How has mathematics helped propel humanity forward? (You might think of examples involving: carrying out scientific experiments; running our economy and democracy; building bridges, houses or other complex structures; making TVs, mobile phones, computers, bicycles, trains, cars, planes, calendars, clocks, etc.)
Can you think of other examples where mathematics helps us in our everyday lives?
What happens when you multiply the triangular numbers by 6 and add 1? Which sequence do you get? Can you explain it with a picture?
What happens when you start to add up powers of 2 starting with 1, i.e. take 1,1+2,1+2 +4,1+2+4+8,...? Now add 1 to each of these numbers-what numbers do you get? Why does this happen?
What happens when you add up pairs of consecutive triangular numbers? That is, take 1 + 3, 3 + 6, 6 + 10, 10 + 15,……..? Which sequence do you get? Why? Can you explain it with a picture?
Which sequence do you get when you start to add the Counting numbers up? Can you give a smaller pictorial explanation?
Try and redraw each sequence in Table 3 in your notebook. Can you draw the next shape in each sequence? Why or why not? After each sequence, describe in your own words what is the rule or pattern for forming the shapes in the sequence.
Can you recognize the pattern in each of the sequences in Table ?
| Column A | Column B |
| (i) 1, 3, 9, 27, 81, … | (a) Triangular: Numbers |
| (ii) 1, 2, 3, 5, 8, 13, … | (b) Odd Numbers |
| (iii) 1, 3, 6, 10, 15, 21, … | (c) Powers of 3 |
| (iv) 1, 3, 5, 7, 9, 11, 13, … | (d) Virahanka Numbers |
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