Free Printable Sequences & Number Patterns and Linear Function & Graphs

1.

What is the general term for this sequence?

a)

Tn = 2n+2

b)

Tn = 2n+1

c)

Tn = 3+2n

d)

Tn = 2n

2.

The terms in the number sequence

3, 6, 12, 24 ...are generated by:

a)

multiplying by 3

b)

adding 3

c)

adding 12

d)

multiplying by 2

3.

The next two terms in the sequence

3, -6, 12, -24, .... are

a)

48 and -96

b)

-48 and -96

c)

-48 and 96

d)

48 and 96

4.

For the sequence 29, 22, 15 , 8, ....

T₂ and T₅ are

a)

29 and 8

b)

22 and 1

c)

22 and 0

d)

1 and -6

5.

How many circles would be in picture 5?

a)

13 circles

b)

14 circles

c)

15 circles

d)

16 circles

6.

How many square would there be in the next figure?

a)

12

b)

13

c)

14

d)

15

7.

Based from the given figures above, how many dots would there be in the next figure?

a)

21

b)

22

c)

23

d)

24

8.

By following the pattern, what is the next term in the sequence.

$\frac{1}{4},\ \frac{1}{9},\ \frac{1}{16},\ \frac{1}{25},\ .\ .\ .\$ ,

a)

$\frac{1}{\ 28}$

b)

$\frac{1}{32}$

c)

$\frac{1}{36}$

d)

$\frac{1}{49}$

9.

What number is missing from this sequence?

a)

8

b)

9

c)

10

d)

12

10.

What is odd number

a)

numbers that are divisible by 2

b)

numbers that are not divisible by 2

11.

Sequence below is a Fibonacci Numbers' pattern.

1, 3, x, 9, y, ...

Find the value of x and y.

a)

x = 5

y = 14

b)

x = 5

y = 11

c)

x = 6

y = 14

d)

x = 6

y = 11

12.

What is the next 2 terms for the sequence of 5, 10, 20, 40...?

a)

50, 60

b)

400, 4000

c)

80, 160

d)

20, 40

13.

Find the n-th term for sequence below.

2, 12, 22, 32, ....

a)

10n - 8

b)

10n + 8

c)

8n - 10

d)

8n + 10

14.

Find the n-th term for the sequence of 20, 16, 12, 8 ...

a)

4n - 24

b)

4n + 24

c)

20 - 4n

d)

24 - 4n

15.

What comes next in the sequence?

a)

b)

c)

d)

16.

It is given that the n^th term, T_n, of a sequence is 2 + 3n. Find the 5^th term.

a)

13

b)

15

c)

17

d)

20

17.

What is the value of the first term of the sequence T_n = n - 1?

a)

-1

b)

1

c)

0

d)

2

18.

What are the first three terms of the sequence with the nth term T_n= n² + 2?

a)

3, 6, 15

b)

3, 6, 10

c)

3, 6, 8

d)

3, 6, 11

19.

Given a number sequence

-3, 2, 7, 12, 17, ...

Which of the following options shows the formula of the n^th term and the 70^th term?

a)

T_n= 5n + 2, The 70^thterm = 352

b)

T_n= 5n - 2, The 70^thterm = 348

c)

T_n= 5n + 8, The 70^thterm = 358

d)

T_n= 5n - 8, The 70^thterm = 342

20.

For the sequence 29, 22, 15 , 8, .... t₂ and t₅ are

a)

29 and 8

b)

22 and 1

c)

22 and 0

d)

29 and 15

21.

Find the n^th term of the following sequence...

8, 13, 18, 23...

a)

5n+3

b)

3n+5

c)

n+5

d)

n+3

22.

Find the n^th term of the following sequence...

2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

23.

Find the n^th term of the following sequence...

7, 16, 25, 34...

a)

9n-2

b)

9n+2

c)

9n-3

d)

9n+3

24.

Find the n^th term of the following sequence...

3, 11, 19, 27...

a)

8n-5

b)

8n+5

c)

5n+8

d)

5n-8

25.

Find the n^th term of the following sequence...

10, 17, 24, 31...

a)

7n+3

b)

7n-3

c)

3n+7

d)

3n-7

26.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

27.

Find the gradient

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

28.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

29.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

30.

Find the value of y when x = 2.

a)

2

b)

6

c)

7

d)

8

31.

Find the gradient between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

32.

In the equation, y = mx + c, the letter c is the ___________.

a)

y-intercept

b)

x-intercept

c)

gradient

d)

rate of change

33.

a)

Function

b)

Not a Function

34.

Evaluate the following function for x= 7

f(x)= x + 4

a)

f(7)= 8

b)

f(7)= 11

c)

f(7)= -11

d)

f(7)= 5

35.

Evaluate the following function for x= 3

f(x)= -2x + 8

a)

f(3)= 2

b)

f(3)= -4

c)

f(3)= -6

d)

f(3)= -3

36.

Evaluate the following function for x= 5

f(x)= -10x + 2

a)

f(5)= -3

b)

f(5)= 2

c)

f(5)= -10

d)

f(5)= -48

37.

Evaluate the following function for x= 9

f(x)= $x^2$

a)

f(9)= 27

b)

f(9)= 18

c)

f(9)= 81

d)

f(9)= -9

38.

What is the gradient of the graph shown in the picture?

a)

$m=0$

b)

$m=\infty$

c)

$m=undefined$

d)

$m=1$

39.

What is the gradient of the graph shown in the picture?

a)

$m=0$

b)

$m=\infty$

c)

$m=undefined$

d)

$m=1$

40.

Which line has negative gradient/slope?

a)

b)

c)

d)

41.

Which line has positive gradient/slope?

a)

b)

c)

d)

42.

What is the gradient in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

43.

Find the gradient of the line.

a)

Undefined

b)

0

c)

1

d)

-1

44.

What is the gradient of this line

a)

4

b)

4/5

c)

-2

d)

-1/2

45.

What is the gradient?

a)

5

b)

5/2

c)

5/3

d)

-5/3

46.

Find the gradient of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

47.

Which of these lines has a negative gradient?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

48.

Find the gradient

a)

0.5

b)

-0.5

c)

2

d)

-2

49.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

50.

Find the equation of each line using the given information.

$m=5;\ c=3$

a)

$y=5x+3$

b)

$y=-\frac{5}{3}x+2$

c)

$y=-5x+3$

d)

$y=-\frac{4}{3}x+6$

Sequences & Number Patterns and Linear Function & Graphs

Total questions: 50

Worksheet time: 8hrs 20mins

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