Free Printable Diagnostic Exam

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Diagnostic Exam - MMW

Total questions: 55

Worksheet time: 1hrs 16mins

Name

Class

Date

Find the missing numbers below:

520, ____, 560, 580, ____

540, 590

540, 600

525, 590

510, 590

How many tiles are in Arrangement 4?

12 tiles

13 tiles

14 tiles

What comes next in the sequence?

How many hexagons are in Pattern #4?

13 hexagons

14 hexagons

15 hexagons

16 hexagons

What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?

-2048

-512

-256

-384

What is the 14th term of the geometric sequence?

14,348,907

4,782,969

1,594,323

Which of the following would be a Fibonacci sequence?

1, 2, 3, 4, 5, 6

2, 4, 6, 10, 16, 26

3, 6, 9, 12, 15, 18

4, 2, 1, 1/2, 1/4, 1/8

What was Fibonacci's real name?

Leonardo Pisano

Leo Pisa

The Big Fibber

Leonardo Fibo

an ordered list of numbers called terms that may have repeated values. The arrangement of these terms is set by a definite rule.

pattern

sequence

fibonacci

numbers

10.

Some of nature’s most beautiful patterns like the spiral arrangement of _____seeds.

iris data

spider wort

sunflower

pine apple

11.

10,12, 22, 34, _____

12.

Which of the following is NOT an example of Fibonacci numbers found in nature?

spirals on a sunflower

pinecone spirals

the number of petals on a daisy

a mountain range

13.

The reciprocal of Arithmetic Sequence

Arithmetic Mean

Geometric Sequence

Harmonic Sequence

Fibonacci Sequence

14.

1/3, 1/5, 1/7, 1/9, ..., is an example of

harmonic sequence

geometric sequence

arithmetic sequence

fibonacci sequence

15.

What is the next term of the harmonic sequence

2/49, 2/39, 2/29, ___

19/2

2/25

2/9

2/19

16.

Find the 12th term of the harmonic sequence

1/3, 1/7, 1/11, 1/15, ...

1/39

1/43

1/47

1/51

17.

What set describes the following elements?

{4, 6, 8. 10, 12}

Set of even numbers.

Set of even numbers between 4 and 12.

Set of even numbers from 4 up to 12.

Set of even numbers less than 14.

18.

Which of the following is the correct set-builder notation of the set below?

A = {2, 3, 4, 5, 6, 7}

A = {x | x is a whole number below 8}

A = { x | x are numbers from 2 up to 7}

A = {x | x is a whole number between 2 and 7}

A = {x | x is a counting number between 1 and 8}

19.

Which of the following is the roster method of the set below?

C = {distinct letters of the word "COOL"}

C = {C, O, O, L}

C = {C, O, L}

20.

How do you call the three dots in a roster method of an infinite set?

and so on

ellipsis

etchetera

dot-dot-dot

21.

Identify what type of set is the given set below?

{consonants of the English alphabet}

Finite set

Empty Set

Infinite Set

22.

If A = {months of the year with 31 days}, what is n(A)?

23.

Which of the following is an improper subset of the given set below?

U = {first 5 prime numbers}

A = {3, 5, 7, 11, 13}

B = {1, 2, 3, 7, 11}

C = {2, 3, 5, 7, 11}

D = {1, 3, 5, 7, 11}

24.

Which of the following operations on sets describes the given Venn Diagram?

$A\ \cup\ B$

$A\ \cap\ B$

$A\ -\ B$

$A'$

25.

Which of the following operations on sets describe the given Venn diagram?

$A\ \cap\ B$

$A\ -\ B$

$A'\ \cup\ B'$

$A\ \cup\ B$

26.

Given the sets
A = {a, b, c, d, e} and B = {a, c, d, f}

What is $A\ \cap\ B$ ?

{a, c, d}

{a, b, c,d e, f}

{b, e}

{f}

27.

Given the sets
A = {2, 3, 4, 5} and B = {2, 4, 5, 6}

What is $A\cup B$ ?

{2, 4, 5}

{2, 3, 4, 5, 6}

{3}

{6}

28.

Given the sets
U = {a, b, c, d, e, f, g, h, i, j}
A = {a, c, e, g, i} and B = {b, c, d, e, f}

What is $B'$ ?

{a, b, c, d, e, f, g, i}

{b, d, f, h}

{a, g, h, i, j}

{c, e}

29.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

{-4, -3, -2, -1, 0, 1, 2, 3}

{-3, -2, -1, 1, 2, 3}

{-4, -3, -2, -1, 1, 2, 3, 4}

{-4, -3, -2, -1, 1, 2, 3}

30.

Which of the following operations on sets describe the given Venn Diagram?

$\left(A\ \cap\ B\right)'$

$\left(A-B\right)'$

$\left(A\cup\ B\right)'$

$A'\ \cup\ B$

31.

It is an operation on Sets that contains elements that are in the universal set, but in a given set.

Complement of a Set

Difference of Two Sets

Interesection of Sets

Union Sets

32.

Does the graph represent a function?

Yes, because the vertical line test shows there are no repeating input values

No, because the vertical line test shows there are repeating input values

33.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{0, 1, 2, -4}
R:{1, -3, -4}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}

34.

What is f(6) for the function f(x)=3x-8

-8

-144

answer not here

35.

f(x)=x²-5x
f(4)=

-4

126

36.

Which relation is NOT a function?

{(1,-5), (3,1), (-5,4), (4,-2)}

{(2,7), (3,7), (4,7), (5,8)}

{(1,-5), (-1,6), (1,5), (6,-3)}

{(3,-2), (5,-6), (7,7), (8,8)}

37.

All of the x values or inputs are called what?

Domain

Range

Relation

Function

38.

All of the y values or outputs are called what?

Domain

Range

Relation

Function

39.

Is this mapping a function or not a function?

Function

Not a Function

40.

What conclusion can be drawn from the following statements?
If the sun is shining, then it is a beautiful day.
If it is a beautiful day, then we will have a picnic.

If the sun is shining, then it is a beautiful day.

If it is a beautiful day, then the sun is shining.

If the sun is shining, then we will go on a picnic.

If we go on a picnic, then the sun is shining.

41.

What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.
If the volume of the stereo is loud, then the neighbors will complain.

If the neighbors complain, then the stereo will be loud.

If the stereo is on, then the neighbors will complain.

If the stereo is volume is loud, then the stereo is on.

If the stereo is on, then the volume is loud.

42.

Using deductive reasoning, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...

Look out for the snowplows while driving to school.

The big test will not be given today.

The roads will be hard to drive on.

You should call the school to see if school is canceled.

43.

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.

Deductive

Inductive

44.

All chickens that we have seen have been brown; so, all chickens are brown.

Deductive

Inductive

45.

The type of reasoning where a person makes conclusions based on observations and patterns is called...

Inductive reasoning

Deductive reasoning

Conjecture

Experiments

46.

What is a conjecture?

A statement believed to be true based on observations.

An example which disproves an hypothesis.

the performance of tricks that are seemingly magical

47.

Find the seventh term in the sequence:
A, D, G, J, _____

48.

If you are attempting to put your plan into action, what part of the problem-solving process are you working on?

Define

Prepare

Try

Reflect

49.

If you are making a plan, what part of the problem solving process are you working on?

Define

Prepare

Try

Reflect

50.

What is the modal class of this distribution?

20-29

30-39

40-49

50-59

51.

What is the class size of the grouped data ?

52.

Which of the following best describes the mode of a given set of data?

The measure or value which occurs most frequently (repeated) in a set of data.

The average of a set of data.

The middle value of a set of data

The difference of the highest and the lowest value of a set of data.

53.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142.
What is the range of Roger's scores?

193

127

54.

The value of X in the table is

55.

Which of the following is used to describe the distribution of the data?

Outlier

Range

Measures of Variation

Interquartile Range (IQR)

100 %

Diagnostic Exam - MMW

Total questions: 55

Worksheet time: 1hrs 16mins

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