Number Pattern Worksheets

**Page 1**

1.

Which set of ordered pairs satisfies the rule "the first number is two less than thrice the second number"?

a. | {(12, 6), (15, 7), (18, 8)} | ||

b. | {(20, 6), (23, 7), (26, 8)} | ||

c. | {(9, 6), (11, 7), (13, 8)} | ||

d. | {(16, 6), (19, 7), (22, 8)} |

[The first number is two less than thrice the second number.]

It is enough to check only one ordered pair from each choice to check if it satisfies the given rule. If one of them satisfies the rule, then check the other two pairs in the respective set.

15 ≠ (3 × 7) - 2 (= 19)

[Consider the ordered pair (15, 7) in choice A and use the rule.]

26 ≠ (3 × 8) - 2 (= 22)

[Consider the ordered pair (26, 8) in choice B and use the rule.]

9 ≠ (3 × 6) - 2 (= 16)

[Consider the ordered pair (9, 6) in choice C and use the rule.]

22 = (3 × 8) - 2 = 22

[Consider the ordered pair (22, 8) in choice D and use the rule.]

19 = (3 × 7) - 2 = 19 and 16 = (3 × 6) - 2 = 16

[Check the other two ordered pairs as well.]

So choice D satisfies the given rule.

Correct answer : (4)

2.

Sheena is making a design in the form of a rectangle, with small red and green cubes. The design is 9 cubes wide. She arranges 3 rows of green cubes, 2 rows of red cubes, 3 rows of green cubes and so on. If she wants to make 100 rows of cubes in all, how many red cubes will she need?

a. | 360 | ||

b. | 540 | ||

c. | 600 | ||

d. | 500 |

[Length of the rectangle = total number of rows.]

The arrangement of cubes along the 100 rows is: 3G2R3G2R. . . or the pattern is 3, 2, 3, 2, . . .

[There are 3 rows of green cubes, 2 rows of red cubes, 3 rows of green cubes and so on.]

There are 3 × 20 = 60 rows of green cubes and 2 × 20 = 40 rows of red cubes.

[Group the 3 rows of green cubes and 2 rows of red cubes. You get

So, number of red cubes required = 40 × 9 = 360.

[Each row is 9 cubes wide. So, 40 rows of red cubes will have (40 Ãƒâ€” 12) cubes in it.]

Correct answer : (-1)

3.

Which rule could be used to generate the ordered pairs in the table?

$x$ | $y$ |

2 | 4 |

4 | 5 |

6 | 6 |

8 | 7 |

a. | $x$ = $y$ - 2 | ||

b. | $y$ = 2$x$ | ||

c. | $x$ = $\frac{\mathrm{y}}{2}$ | ||

d. | $y$ = $\frac{\mathrm{x}}{2}$+ 3 |

If the selected ordered pair satisfies any of the rules, then check if the rest of the ordered pairs satisfy the same rule. The rule that is satisfied by all four ordered pairs would be the answer.

Consider the ordered pair (6, 6).

6 ≠ 6 - 2 (= 4)

[Consider choice A =

6 ≠ 2 × 6 (= 12)

[Consider choice B =

6 ≠

[Consider choice C =

6 =

[Consider choice D =

So, the rule

Correct answer : (4)

4.

Sarah opened her math textbook. The product of the page numbers she saw was 210. What were the page numbers?

a. | 5, 42 | ||

b. | 14, 15 | ||

c. | 10, 21 | ||

d. | 7, 30 |

[When someone opens a book, they see two consecutive numbers as page numbers..]

[The product of the page numbers Sarah saw was 210.]

Factors of 210 are: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, . . and a few more.

[Listing the factors would help identify the two consecutive numbers.]

14 and 15 are the two consecutive numbers that multiply to give 210.

So, the page numbers that Sarah saw were 14 and 15.

Correct answer : (2)

5.

Write a rule to describe the sequence. 8, 11, 14, **. . .**

a. | Start with 8 and Subtract 2 repeatedly | ||

b. | Start with 8 and Add 3 repeatedly | ||

c. | Start with 14 and Subtract 3 repeatedly | ||

d. | Start with 8 and Subtract 3 repeatedly |

In the number pattern, 3 is Added to the preceding term to obtain the next term.

The rule that describes the sequence is, start with 8 and Add 3 repeatedly.

Correct answer : (2)

6.

Which of the following numbers complete the pattern?

14, 19, 24, ___, 34, 39...

14, 19, 24, ___, 34, 39...

a. | 25 | ||

b. | 27 | ||

c. | 29 | ||

d. | 26 |

[Given pattern.]

Using the number chart, start coloring from the first number that is 14 and then color 19, 24, 34, and 39.

This tells that the pattern is to skip count by 5's.

[Add 5 to 24.]

So, the missing number is found by adding 5 to 24.

Hence, we get 29.

Correct answer : (3)

7.

Complete the pattern.

6,000, 600, 60, 6, 0.6, ____

6,000, 600, 60, 6, 0.6, ____

a. | 0.60 | ||

b. | 0.606 | ||

c. | 0.06 | ||

d. | 0.006 |

Therefore, to get the next number divide 0.6 by 10.

Therefore, 0.06 is the next number in the given pattern.

Correct answer : (3)

8.

Which of the expressions will help you to find the $n$^{th} term in the sequence?

3, 9, 27, 81, . . .

3, 9, 27, 81, . . .

a. | $n$ ^{2} | ||

b. | 3$n$ | ||

c. | $n$ + 3 | ||

d. | 2$n$ + 1 |

Correct answer : (2)

9.

Identify the missing term in the pattern.

1, 2, 4, 8, ____, 32, . . .

1, 2, 4, 8, ____, 32, . . .

a. | 16 | ||

b. | 22 | ||

c. | 12 | ||

d. | 10 |

So, the missing term in the pattern is 16.

Correct answer : (1)

10.

Which of the following statements best suits for the table?

Number of hours | 1 | 2 | 3 | 4 |

Parking rates | $2.00 | $2.75 | $3.50 | $4.25 |

a. | Parking rate for every additional hour decreases by $2. | ||

b. | Parking rate for every additional hour increases by $2. | ||

c. | Parking rate for every vehicle increases by $0.75. | ||

d. | Parking rate for every additional hour increases by $0.75. |

So, the table best suits the statement 'Parking rate for every additional hour increases by $0.75'.

Correct answer : (4)

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