Free Printable Numeric patterns Gr8

1.

Give the rule for the following number pattern: $1;\ 3;\ 5;\ 7;\ ...$

a)

$+1$

b)

$+2$

c)

$+3$

d)

$-2$

2.

Give the rule for the following number pattern: $75;\ 70;\ 65;\ 60;\ ...$

a)

$+5$

b)

$-4$

c)

$-5$

d)

$-10$

3.

Give the rule for the following number pattern: $8;\ 4;\ 2;\ 1;\ ...$

a)

$-2$

b)

$\div\frac{1}{2}$

c)

$-4$

d)

$\div2$

4.

Give the rule for the following number pattern: $600;\ 60;\ 6;\ 0,6;\ ...$

a)

$\div10$

b)

$\div100$

c)

$\times10$

d)

$\div1$

5.

Make your own numeric pattern with the following information: MULTIPLY BY 3 AND SUBTRACT 2. Start with 1 and write down the next four terms.

a)

$1;\ 2;\ 3;\ 4;\ 5$

b)

$1;\ 1;\ 1;\ 1;\ 1$

c)

$1;\ 0;\ -1;\ -2;\ -3$

d)

$1;\ 3;\ 5;\ 7;\ 9$

6.

Complete the numeric pattern.

a)

$48;\ 58;\ 68$

b)

$48;\ 60;\ 72$

c)

$50;\ 62;\ 74$

d)

$49;\ 61;\ 73$

7.

Complete the numeric pattern.

a)

$18;\ 22;\ 26$

b)

$16;\ 18;\ 24$

c)

$16;\ 18;\ 20$

d)

$16;\ 20;\ 24$

8.

Complete the numeric pattern.

a)

$48;\ 96;\ 98$

b)

$92;\ 184;\ 186$

c)

$92;\ 94;\ 188$

d)

$48;\ 50;\ 100$

9.

The following sequence is given: $1;\ 2;\ 4;\ 8;\ 16;\ ...$
State the rule for the sequence in words.

a)

Start with 1. Add 2 to each previous term get the next term.

b)

Start with 1. Multiply each previous term with 2 to get the next term.

c)

Start with 1. Multiply each previous term with 3 to get the next term.

d)

Start with 1. Multiply each previous term with 4 to get the next term.

10.

The following sequence is given: $1;\ 2;\ 4;\ 8;\ 16;\ ...$
What is the constant ratio?

a)

$\frac{1}{2}$

b)

$1$

c)

$2$

d)

$-2$

11.

The following sequence is given: $1;\ 2;\ 4;\ 8;\ 16;\ ...$
Give the next three terms.

a)

$32;\ 48;\ 54$

b)

$24;\ 48;\ 96$

c)

$24;\ 32;\ 48$

d)

$32;\ 64;\ 128$

12.

The following sequence is given: $2;\ 6;\ 18;\ 54;\ ...$
State the rule for the sequence in words.

a)

Start with 2. Add 4 to each previous term get the next term.

b)

Start with 2. Multiply each previous term with -2 to get the next term.

c)

Start with 2. Multiply each previous term with 3 to get the next term.

d)

Start with 2. Multiply each previous term with 4 to get the next term.

13.

The following sequence is given: $2;\ 6;\ 18;\ 54;\ ...$
What is the constant ratio?

a)

$\frac{1}{2}$

b)

$1$

c)

$2$

d)

$3$

14.

The following sequence is given: $2;\ 6;\ 18;\ 54;\ ...$
Give the next three terms.

a)

$162;\ 486;\ 1458$

b)

$72;\ 90;\ 108$

c)

$108;\ 216;\ 432$

d)

$18;\ 6;\ 2$

15.

The following sequence is given: $8;\ 4;\ 2;\ 1;\ ...$
State the rule for the sequence in words.

a)

Start with 8. Subtract 4 to each previous term get the next term.

b)

Start with 4. Multiply each previous term with 22 to get the next term.

c)

Start with 8. Multiply each previous term with $\frac{1}{3}$ to get the next term.

d)

Start with 8. Multiply each previous term with $\frac{1}{2}$ to get the next term.

16.

The following sequence is given: $8;\ 4;\ 2;\ 1;\ ...$
Give the next three terms.

a)

$\frac{1}{3};\ \frac{1}{6};\ \frac{1}{12}$

b)

$\frac{1}{2};\ \frac{1}{4};\ \frac{1}{8}$

c)

$2;\ 4;\ 8$

d)

$\frac{1}{2};\ \frac{1}{8};\ \frac{1}{16}$

17.

Consider the following number sequence: $1;\ 4;\ 9;\ 16;\ ...$
Does the number sequence have a constant difference?

a)

Yes

b)

No

18.

Consider the following number sequence: $1;\ 4;\ 9;\ 16;\ ...$
State the rule in words.

a)

Start with 1. Add 3 to each term to get the following term.

b)

Cube each term's position to get its value.

c)

Start with 1. Add 5 to each term to get the following term.

d)

Square each term's position to get its value.

19.

Consider the following number sequence: $1;\ 4;\ 9;\ 16;\ ...$
Give the 10th term.

a)

$81$

b)

$100$

c)

$121$

d)

$144$

20.

Consider the following number sequence: $2;\ 6;\ 12;\ 20;\ ...$
State the rule in words.

a)

Start with 2 and multiply each term with 3 to get the next term.

b)

Start by adding 4 to 2. Increase the number added each time by 3 to get the next term.

c)

Start by adding 4 to 2. Increase the number added each time by 2 to get the next term.

d)

Start with 2 and multiply each term with 4 to get the next term.

21.

Give the next two terms for the following sequence: $-3;\ 0;\ 3;\ 6;\ ...$

a)

$8;\ 10$

b)

$9;\ 12$

c)

$-9;\ 12$

d)

$9;\ -12$

22.

Give the next two terms for the following sequence: $1;\ 2;\ 4;\ 7;\ 11;\ ...$

a)

$14;\ 17$

b)

$15;\ 19$

c)

$16;\ 21$

d)

$16;\ 22$

23.

Give the next two terms for the following sequence: $-14;\ -12;\ -10;\ ...$

a)

$8;\ 6$

b)

$-12;\ -14$

c)

$-8;\ -6$

d)

$-6;\ -4$

24.

$T_n=6n-10$ is the $n^{th}$ term of a number sequence. Determine the $100^{th}$ term.

a)

-590

b)

18

c)

590

d)

600

25.

$T_n=6n-10$ is the $n^{th}$ term of a number sequence. Which term is equal to 530?

a)

90

b)

89

c)

80

d)

85

26.

The following sequence is given: 5; 8; 11; 14; ...

Determine the general rule.

a)

$T_n=3n+2$

b)

$T_n=-3n+3$

c)

$T_n=-3n+2$

d)

$T_n=2n+2$

27.

The following sequence is given: 5; 8; 11; 14; ...

Use the general rule in Q5 to determine the $120^{th}$ term.

a)

242

b)

-358

c)

-357

d)

362

28.

Determine the value of a.

a)

39

b)

15

c)

26

d)

36

29.

Determine the value of b.

a)

100

b)

25

c)

26

d)

15

Numeric patterns Gr8

Total questions: 29

Worksheet time: 15mins

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