Teachers can assign these Ganita Prakash Class 6 Worksheet and Class 6 Maths Chapter 1 Patterns in Mathematics Worksheet with Answers Pdf Download for daily practice.
Class 6 Maths Chapter 1 Patterns in Mathematics Worksheet with Answers Pdf
Patterns in Mathematics Class 6 Maths Worksheet
Class 6 Maths Chapter 1 Worksheet with Answers – Class 6 Patterns in Mathematics Worksheet
Multiple choice questions.
(i) What sequence do we get when we start adding up odd numbers?
(a) Cubes
(b) Squares
(c) Triangular numbers
(d) Even numbers
Answer:
(b) Squares
(ii) The sequence 1, 7, 19, 37,…. is called as
(a) cubes
(b) squares
(c) triangular numbers
(d) hexagonal numbers
Answer:
(d) hexagonal numbers
(iii) The terms in the number sequence 38, 34, 30, 26, are generated by:
(a) adding 4 to the next term
(b) multiplying by 4 to get the next term
(c) subtracting 4 to get the next term
(d) dividing by 4 to get the next term
Answer:
(c) subtracting 4 to get the next term
(iv) Which number is missing in the pattern 120, 115, 110, _, 100, 95?
(a) 105
(b) 115
(c) 90
(d) 95
Answer:
(a) 105
(v) In the following pattern, every second shape is filled in and every fourth shape is a square.
Which of the following statement is correct?
(a) Every even number shape is filled in
(b) Shape 11 is a filled in square
(c) Every square is not filled in
(d) None of the above
Answer:
(a) Every even number shape is filled in
(vi) The missing term in the sequence 1, 3, 6, ?, 15 is
(a) 25
(b) 9
(c) 10
(d) 8
Answer:
(c) 10
(vii) Start with 21 and subtract 4 from each term to get the next term. What are the first 4 terms?
(a) 17, 13, 9, 5
(b) 21, 17, 13, 9
(c) 21, 16, 11, 6
(d) 5, 9, 13, 17
Answer:
(b) 21, 17, 13, 9
(viii) The number in each box below is the product of the numbers in the two boxes that touch it in the row above. For example, 30 = 6 x 5. What is the missing number in the top row?
(a) 2
(b) 3
(c) 4
(d) 5
Answer:
(c) 4
Assertions & Reasons
Study the Assertion (A) and Reason (R) statements given below and choose the correct alternative.
(i) Assertion (A) The sequence 1, 3, 6, 10,… is called Triangular numbers.
Reason (R) The sequence of 1, 2, 3, 4, 5, … is called counting numbers.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(b) Both A and R are true but R is not the correct explanation of A.
(ii) Assertion (A) The next term in the sequence 7, 12, 17, 22,… is 27.
Reason (R) The sequence is obtained by adding 5 in the previous term to get the next term.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(a) Both A and R are true and R is the correct explanation of A.
(iii) Assertion (A) The sequence of shapes triangle, square, pentagon, hexagon, is an example of a shape pattern.
Reason (R) The number of sides of each shape increases by one with each term.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(a) Both A and R are true and R is the correct explanation of A.
(iv) Assertion (A) The sequence 1 3, 5, 7, 9,… is an odd number sequence.
Reason (R) The sequence 2, 4, 6, 8,… is an even number sequence.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(b) Both A and R are true but R is not the correct explanation of A.
Fill in the blanks.
(i) The branch of Mathematics that studies patterns in whole numbers is called __________.
Answer:
Number theory
(ii) The sequence 1, 8, 27, 64,… represents the __________ of numbers.
Answer:
Cubes
(iii) The terms in the number sequence 3, 6, 12, 24, … are generated by __________.
Answer:
Multiplying by 2
(iv) __________ numbers can be represented as dots forming a perfect square.
Answer:
Square
(v) The pattern 2, 4, 6, 8, 10,… is a sequence of __________ numbers.
Answer:
Even
(vi) A __________ polygon is a shape with all sides and angles equal.
Answer:
Regular
(vii) The sequence 1, 2, 3, 5, 8, 13, 21,… is called __________ sequence.
Answer:
Virahanka
State whether the following statements are True or False.
(i) A regular polygon has equal sides but different angles.
Answer:
False
(ii) The number 36 can be both a square and a triangular number.
Answer:
True
(iii) The sequence 1, 4, 9, 16, 25,… is an example of cubes.
Answer:
False
(iv) A shape sequence starting with a square and adding one side each time would form polygons with increasing number of sides.
Answer:
True
(v) The next term in the sequence 0, 1, 1, 2, 3, 5, … is 8.
Answer:
True
(vi) Pentagonal numbers form a sequence in which the difference between two consecutive terms is a multiple of 5.
Answer:
True
Match the following.
| Column A | Column B |
| (i) 1, 3, 6, 10, 15, … | (a) Squares |
| (ii) 1, 2, 3, 4, 5, … | (b) Triangular numbers |
| (iii) 1, 4, 9, 16, 25, … | (c) Cubes |
| (iv) 1, 7, 19, 37, … | (d) Counting numbers |
| (v) 1, 8, 27, 64, 125, … | (e) Hexagonal numbers |
Answer:
| Column A | Column B |
| (i) 1, 3, 6, 10, 15, … | (b) Triangular numbers |
| (ii) 1, 2, 3, 4, 5, … | (d) Counting numbers |
| (iii) 1, 4, 9, 16, 25, … | (a) Squares |
| (iv) 1, 7, 19, 37, … | (e) Hexagonal numbers |
| (v) 1, 8, 27, 64, 125, … | (c) Cubes |
Missing Numbers
Complete the following table with the missing numbers and figure out the pattern rule for each.
| Sequence | Pattern rule |
| (i) 17, 20, 23, 26, 29, 32, 35, 38 | Adding 3 |
| (ii) 25, 30, _, 40, 45, _, _, _ | |
| (iii) 100, 90, _, _, 60, 50, _ | |
| (iv) 8, _, 24, _, 40, _, _, 64 | |
| (v) 72, _, 54, 45, _, 27, _, _ |
Answer:
(ii) 35, 50, 55, 60 – Adding 5
(iii) 80, 70, 40, 30 – Subtracting 10
(iv) 16, 32,48, 56 – Adding 8
(v) 63, 36, 18, 9 – Subtracting 9
Very Short Answer Type Questions.
(i) What is the pattern rule followed by the sequence 88, 77, 66, 55, 44, 33,…?
____________________________________________________________
Answer:
Subtract 11
(ii) What should be the next number in this pattern, 8,10,13,17,22,28, …’?
____________________________________________________________
Answer:
35
(iii) Which number is missing in this pattern 41, 45, 49, …, 57, 61, 65?
____________________________________________________________
Answer:
53
(iv) How many counters would come next?
____________________________________________________________
Answer:
9
Short Answer Type Questions
(i) Complete the pattern and find the pattern rule: 5, 9, 13, __ ,__
____________________________________________________________
Answer:
17,21 – Add 4 to get the next term
(ii) How many cubes would be in the next shape?
____________________________________________________________
Answer:
17
(iii) Complete the dice pattern.
____________________________________________________________
Answer:
Do yourself
(iv) Alice used the rule ‘double the number’ to create the following pattern. 3, 6, 12, 24, _, Find the next two numbers.
____________________________________________________________
Answer:
48, 96
Long Answer Type Questions
(i) If the first tower has 3 blocks, the second tower has 6 blocks and the third tower has 9 blocks, then how many blocks will the 8th tower have?
____________________________________________________________
Answer:
24
(ii) Sam wanted to keep track of the points he earned in his new racing video game. He created a function table to track his points and his laps around the track. How many laps did Sam make around the track if he earned 9 points?
Answer:
18
(iii) Jane was arranging her toy cars in rows. The first row had 4 cars, the second row had 6 cars. How many toy cars will be in the third, fourth and fifth row have if the same pattern is followed?
Answer:
8, 10, 12
Case-based Questions
A. Students of Winkee Wee school visit a plants nursery with their class teachers. In the nursery, they see that the plants are kept in rows where the number of plants in each row follows a pattern.
Based on the above information, answer the following questions.
(i) There are 3 plants in the first row, in the second row 6 and 9 plants in the third row. If the same pattern is followed, how many plants will be in the ninth row?
(a) 18
(b) 27
(c) 36
(d) 9
Answer:
(b) 27
(ii) How many total plants would be there in the 25th row?
(a) 50
(b) 65
(c) 75
(d) 100
Answer:
(c) 75
B. Bob, the builder is building a museum made of glass. He starts the construction by placing 1 glass block in the first row, 4 glass blocks in the second row, 9 glass blocks in the third row and so on.
Based on the above information, answer the following questions.
(i) If Bob continues the same pattern, then how many glass blocks will be in the 7th row?
(a) 18
(b) 27
(c) 36
(d) 49
Answer:
(d) 49
(ii) How many glass blocks are needed to construct the 9th row?
(a) 64
(b) 81
(c) 100
(d) 121
Answer:
(b) 81
C. A group of friends is counting the number of stars, they see each night. On the first night, they see 5 stars. Each subsequent night, they see 2 more stars than the previous night.
(i) How many stars will they see on the 4th night?
(a) 11
(b) 14
(c) 15
(d) 16
Answer:
(a) 11
(ii) If this pattern continues, how many stars will they see on the 10th night?
(a) 20
(b) 21
(c) 24
(d) 23
Answer:
(d) 23
Activity
Question 1.
Mr. Jose is a professional table organiser. For today’s event, he brought square tables. A single square table can seat 4 people, one at each side, as in the first picture below (each circle is a person). If Mr. Jose joins 2 tables along a side, as in the second picture below, he can seat 6 people.
How many people can Mr. Jose seat with even more tables? Draw and extend the pattern on a paper and complete the chart below.
Answer:
(iii) 8
(iv) 10
(v) 12
(vi) 14
(vii) 16
(viii) 18
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