Patterns in whole numbers | Whole Numbers | Assessment | English | Grade 6

Which of the following is not a triangular number?

• 3

• 6

• 9

• 15

Answer explanation

The numbers that can be represented in the form of a triangle are called triangular numbers. Some of the triangular numbers are 1, 3, 6, 10, 15, 21, 28, 36, etc. If we check all the options, number 9 cannot form a triangle. Therefore 9 is not a triangular number

200 visitors visited a zoo on Monday, 210 visitors visited the zoo on Tuesday, 230 visitors visited the zoo on Wednesday, 260 visitors visited zoo on Thursday. Looking at this pattern, how many students are expected to visit the zoo on Friday?

• 240

• 300

• 260

• 280

Answer explanation

Observe the pattern of visitors visiting the zoo on Monday, Tuesday, Wednesday and Thursday On Monday visitors were 200 On Tuesday visitors were 210 i.e. 200 + 10 = 210 On Wednesday visitors were 230 i.e. 210 + 20 = 230 On Thursday visitors were 260 i.e. 230 + 30 = 260 So on Friday visitors would be 260 + 40 = 300

Tags

CCSS.4.OA.C.5

Which of the following whole number can be arranged in line, triangle and rectangle pattern?

• 2

• 4

• 6

• 8

Answer explanation

6 can be represented in line, triangle and rectangular pattern Therefore, option 3 is the correct answer Option 1 is incorrect because 2 can be represented as a line and rectangle pattern Option 2 is incorrect because 4 can be represented as line and square or rectangle pattern Option 4 is incorrect because 8 can be represented as line and rectangle pattern

Tags

CCSS.4.OA.C.5

Rani and Nikita were playing number game. Rani wrote a pattern of whole numbers and asked Nikita to find the next two numbers in the sequence. What will be the next two numbers? 1, 1, 2, 3, 5, 8, 13, 21, 34, _, _.

• 55, 89

• 21, 13

• 89, 55

• 144, 233

Answer explanation

The given pattern of whole numbers is 1, 1, 2, 3, 5, 8, 13, 21, 34, _, _. In the given pattern if we add first and second term we get the third term of the pattern, if we add second and third term , we get the fourth term of the pattern and so on. So lets understand the pattern 1 + 1 = 2 1 + 2 = 3 2 + 3 = 5 3 + 5 = 8 5 + 8 = 13 8 + 13 = 21 13 + 21 = 34 21 + 34 = 55 34 + 55 = 89 Here next two numbers of pattern are 55 and 89. Option 1 is the correct answer.

Tags

CCSS.4.OA.C.5

Choose the correct option for the given pattern of whole numbers

• 40

• 50

• 70

• 80

Answer explanation

If you observe the pattern, you can understand that 10, 20 and 30 are in the bottom third row and 10 + 20 = 30 30 is placed in the 2nd row between 10 and 20 20 + 30 = 50 50 is placed in the 2nd row between 20 and 30. Similarly we will get 30 + 50 = 80 which will be place at the top row between 30 and 50. Therefore, correct answer is option 4

Tags

CCSS.5.NBT.B.7

In a birthday party, return gifts were distributed among the children. First child got 2 pencils, second got 4 pens, third got 8 pencils, fourth got 16 pens. Find the return gift of fifth child as per the given pattern and choose the correct option.

• 32 pens

• 32 pencils

• 30 pens

• 30 pencils

Answer explanation

Given pattern shows first child got 2 pencils, second got 4 pens, third got 8 pencils, fourth got 16 pens. if observed carefully, pen and pencils are given alternatively. pencil, pen, pencil, pen, _______ As per the pattern fifth child will get pencils ... (1) If you observe numbers its in pattern 2, 4, 8, 16, _ . This suggest that first number is multiplied with 2 we get second number i.e. 2 × 2 = 4 second number is multiplied with 2 we get third number i.e. 4 × 2 = 8 third number is multiplied with 2 we get the fourth number i.e. 8 × 2 = 16 By following the pattern, to find fifth number, we will multiply fourth number by 2 Therefore, fifth number is 16 × 2 = 32 .... (2) From (1) and (2) Fifth child will get 32 pencils

Tags

CCSS.3.OA.D.9