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Mental Reasoning

Total questions: 112

Worksheet time: 1hrs 22mins

Name
Class
Date
1.

a method for estimating a group of numbers by slightly adjusting some or all of the numbers to allow for easy mental computation

a)

compatible numbers

b)

rounding

c)

dividend

d)

product

2.
Complete the conjecture.  Think of examples to help.
The product of any two odd numbers is _____________
a)
even
b)
odd
c)
zero
d)
positive
3.
Find the next term in the sequence:
A, D, G, J, _____
a)
L
b)
M
c)
P
d)
K
4.
Find the seventh term in the sequence:
A, D, G, J, _____
a)
M
b)
P
c)
S
d)
V
5.
How many cubes would be in the 10th figure?
a)
18
b)
16
c)
17
d)
41
6.
What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73
a)
32, 62
b)
42, 63
c)
43, 63
d)
42, 62
7.
Where would the next red square be?
a)
bottom left
b)
top right
c)
top left
d)
bottom right
8.
a)
1
b)
15
c)
20
d)
12
9.
What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27
a)
18,23
b)
18, 24
c)
17, 25
d)
17, 24
10.
What are the next two numbers in this pattern?
12, 17, 22, 27, ___, ___
a)
32, 37
b)
30, 37
c)
30, 33
d)
32, 35
11.
What is the rule for this pattern?
1st term:32
2nd term:36
3rd term:40
a)
4x+28
b)
4x+32
c)
x+4
d)
4x
12.
How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50
a)
Subtract 2
b)
Subtract 3
c)
Subtract 4
d)
Add 3
13.
What is the rule for this pattern?
32,36,40,44
a)
add 4
b)
multiply 2
c)
subtract 4
d)
divide by 2
14.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
35: 14
15.
88 students for 4 classes
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
16.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
17.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
18.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
19.
On an airplane there are two seats on the left side and three seats on the right side.  There are 90 seats on the right side of the plane.  How many seats are on the left side?
a)
80 seats
b)
60 seats
c)
30 seats
20.
The school bus goes 300 miles in 5 hours. What is the average miles per hour?
a)
1500 miles per hour
b)
305 miles per hour
c)
1/60 miles per hour
d)
60 miles per hour
21.
Mrs. Jones reads 75 pages in 25 minutes. What is her average page per minute?
a)
3 pages per minute
b)
100 pages per minnute
c)
50 pages per minute
d)
2 pages per minute
22.
Mr. Keys made $90 in 5 hours.  What is the unit rate?  
a)
$18 per hour
b)
$1 in 18 hours
c)
$90:5h
d)
5 to 90
23.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
24.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
25.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
26.
Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?
a)
$0.08
b)
$25
c)
$12
d)
$12.50
27.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
28.

An approximation of a number based on reasonable assumptions

a)

rounding

b)

estimate

c)

compatible numbers

d)

quotient

29.

about, a little, more than, less than, close to, approximately

a)

factor

b)

difference

c)

estimation language

d)

product

30.

the answer to a subtraction problem

a)

difference

b)

quotient

c)

sum

d)

product

31.

the answer to an addition problem

a)

product

b)

sum

c)

quotient

d)

difference

32.

the number that is being divided

a)

divisor

b)

quotient

c)

dividend

d)

divisible

33.

capable of being divided

a)

quotient

b)

dividend

c)

divisor

d)

divisible

34.

the number the dividend is being divided by

a)

dividend

b)

quotient

c)

divisible

d)

divisor

35.

a number that is multiplied by another number to find a product

a)

factor

b)

product

c)

sum

d)

difference

36.

the answer to a multiplication problem

a)

difference

b)

product

c)

sum

d)

quotient

37.

a whole number with two or more factors

a)

composite number

b)

divisor

c)

factor

d)

prime number

38.

a mathematical statement that shows two expressions are equal

a)

expression

b)

equation

c)

product

d)

factor

39.

a mathematical phrase with no equal sign or comparison symbol, that may contain a number, unknown, and/or operator

a)

simplify

b)

order of operations

c)

expression

d)

equation

40.

a whole number greater than 1 that has exactly two factors (1 and itself)

a)

dividend

b)

prime number

c)

composite number

d)

factor

41.

to write a fraction or expression in simplest form

a)

factor

b)

dividend

c)

simplify

d)

product

42.
A personal view or belief based on emotions or interpretation of facts.
a)
opinion
b)
factual claim
c)
quote 
43.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
44.
There are 8 teacher and 40 students going on a field trip. If 20 more students decided to go on the field trip, then how many more teachers must go to keep it proportional?
a)
5 more teachers
b)
4 more teachers
c)
2 more teachers
d)
none
45.
A glacier moves about 12 inches every 36 hours. About how far does the glacier move in 90 hours?
a)
4. 8 inches
b)
30 inches
c)
270 inches
d)
180 inches
46.
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
a)
It is not Friday
b)
It is Friday
c)
I will not get paid
d)
I will get paid
47.
Using the Law of Syllogism, 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...
a)
Look out for the snowplows while driving to school.
b)
The big test will not be given today.
c)
The roads will be hard to drive on.
d)
You should call the school to see if school is canceled.
48.
Which is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
a)
Opposite angles of a quadrilateral are congruent
b)
Opposite angles of a rhombus are congruent
c)
Every quadrilateral is a rhombus
d)
Every parallelogram is a rhombus
49.
Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
a)
Therefore, the polygon is a rectangle.
b)
Therefore, the polygon is a regular quadrilateral.
c)
Therefore, the polygon has exactly five congruent angles.
d)
Therefore, the polygon has congruent sides.
50.
(1) If a figure is a square, then it is a polygon.
(2) Figure A is a polygon.
(3)  ???????
What belongs in line 3?
a)
Figure A is a polygon.
b)
Figure A is a circle.
c)
Figure A is a square.
d)
invalid; nothing belongs in line 3
51.
Write the if-then statement that follows from the pair of true statements. If the sun is shining, then it is a beautiful day.  If it is a beautiful day, then we will have a picnic.
a)
If the sun is shining, then it is a beautiful day.
b)
If it is a beautiful day, then the sun is shining.
c)
If the sun is shining, then we will go on a picnic.
d)
If we go on a picnic, then the sun is shining.
52.
Write the if-then statement that follows from the pair of true statements. If Todd goes to the movies, then Sarah will go to the movies.  If Chris goes to the movies, then Todd will go to the movies.
a)
If Chris goes to the movies, then Sarah will go to the movies.
b)
If Todd goes to the movies, then Chris will go to the movies.
c)
If Sarah goes to the movies, then Chris will go to the movies.
d)
If Chris goes to the movies, then Todd will go to the movies.
53.
What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.
a)
If Tom goes fishing then he catches a fish.
b)
If Tom brings his pole then he goes fishing
c)
 If Tom catches a fish then he brought his pole.
d)
If Tom brings his pole then he catches a fish.
54.
Which of the following statements is valid based on the given scenario?
If Jason plays basketball, then Steve sits on the bench.  
If Steve sits on the bench, then Ronald starts at center.  
a)
If Steve sits on the bench then Jason plays basketball.
b)
If Ronald starts at center then Jason plays basketball.
c)
If Steve sits the bench then Ronald does not start at center.
d)
If Jason plays basketball then Ronald starts at center.
55.
Answer these questions by figuring out which of the four figures belongs on the spot of the question mark.
Latin Square Rules
1. A row or column never contains the same figure/number twice.
2. Every row and column contain the same figures/numbers.
a)
a
b)
b
c)
c
d)
d
56.
What is the converse of the statement:
If an animal is a dog, then it does not moo.  
a)
If an animal is not a dog, then it does moo
b)
If an animal can moo, then it is not a dog
c)
If an animal does not moo, then it is a dog
d)
An animal is a dog if and only if it can moo
57.
35+15
a)
60
b)
40
c)
50
d)
45
58.
46x2
a)
67
b)
72
c)
92
d)
85
59.
87-35
a)
52
b)
55
c)
53
d)
57
60.
90x90
a)
1000
b)
810
c)
900
d)
910
61.
65x3
a)
215
b)
180
c)
195
d)
200
62.
90/4
a)
45
b)
27.5
c)
22.5
d)
32.5
63.
78+25
a)
95
b)
103
c)
98
d)
105
64.
89-67
a)
22
b)
24
c)
23
d)
21
65.
66x5
a)
350
b)
310
c)
330
d)
355
66.

A chicken needs to be cooked for 2 hours and 20 minutes. It needs to be ready at 1:00 pm. At what time do I need to start cooking it?

a)

noon

b)

11:40 am

c)

10:40 am

d)

9:30 am

67.

I have $10. I spend $4.50. How much money do I have now?

a)

$5.50

b)

$4.50

c)

$3.50

d)

$5.00

68.

The date is March 3rd. What was the date 1 week ago?

a)

March 10th

b)

February 25th

c)

February 24th

d)

February 23rd

69.

I am a square with each side measuring 3 cm. What is my perimeter?

a)

12 m

b)

9 cm

c)

3 dm

d)

12 cm

70.

I am thinking of a number. I double it and add 1. The answer is 17. What number am I thinking of?

a)

7

b)

8

c)

9

d)

10

71.

16 + ____ = 5 x 5

a)

5

b)

7

c)

8

d)

9

72.

What is the remainder when 17 is divided by 3?

a)

1

b)

2

c)

3

d)

4

73.

What is 20% of 25?

a)

4

b)

5

c)

10

d)

15

74.

What is 5% of 120

a)

12.0

b)

1.20

c)

6

d)

.6

75.
1+2+3+4+5+6+7+8+9+10=
a)
54
b)
56
c)
55
d)
none!
76.
What is one third of 18?
a)
6
b)
9
c)
12
d)
18
77.

Convert to a fraction in simplest form 0.14

a)

7/50

b)

14/100

c)

14/1000

d)

7/25

78.

Find the missing length

a)

4

b)

6

c)

4.5

d)

3

79.

Find the missing length

a)

17

b)

19

c)

24

80.

Which number sentence is wrong?

a)

8 + 5 = 13

b)

13 - 5 = 8

c)

5 + 8 = 13

d)

8 - 5 = 13

81.

What is the time on this clock?

a)

25 to 3

b)

25 past 3

c)

25 to 2

d)

25 past 2

82.

What fraction is shaded?

a)

three quarters

b)

two thirds

c)

quarter

d)

third

83.

Which of these pictures has more than one line of symmetry?

a)
b)
c)
d)
84.

Which of these numbers does not round off to 90?

a)

87

b)

94

c)

85

d)

98

85.

What is the time on this clock?

a)

five past one

b)

5 to 12

c)

five minutes to 1

d)

5 past 12

86.

What shape is this?

a)

pentagon

b)

octagon

c)

hexagon

d)

pyramid

87.

What is the place value of the underlined digit? 129

a)

H

b)

Units

c)

Ten

d)

T

88.

1cm = ____mm

a)

1

b)

5

c)

10

d)

100

89.

99, 95, 91, ___

a)

78

b)

87

c)

90

d)

86

90.
What is the inverse of "If it is Saturday, then it is the weekend"?
a)
If it is the weekend, then it is Saturday.
b)
If it is not Saturday, then it is the weekend.
c)
If it is not the weekend, then it is not Saturday.
d)
If it is not Saturday, then it is not the weekend.
91.
How many counters would come next?
a)
5
b)
7
c)
9
d)
11
92.

How many squares are in Figure 4?

a)

10

b)

11

c)

12

d)

13

e)

14

93.

How many squares are in Step 5?

a)

30

b)

31

c)

32

d)

33

e)

34

94.
What number belongs in the blank?
18,24,___,36,42
a)
28
b)
31
c)
30
d)
35
95.
a)
1
b)
15
c)
20
d)
12
96.
What would be the next two figures in this pattern?
a)
star, star
b)
square, square
c)
star, square
d)
square, star
97.

What is the missing image?

a)
b)
c)
d)
98.
What comes next in the pattern?
a)
pie
b)
turkey
99.
a)
A
b)
B
c)
C
d)
D
100.
Which of the following conjectures is false?
a)
The product of two even numbers is even.
b)
The sum of two even numbers is even.
c)
The product of two odd numbers is odd.
d)
The sum of two odd numbers is odd.
101.
a)
A
b)
B
c)
C
d)
D
102.
a)
A
b)
B
c)
C
d)
D
103.
a)
A
b)
B
c)
C
d)
D
104.
The product of y and 7 can be written as
a)
y - 7
b)
7y
c)
y + 7
d)
y ÷ 7
105.

A cube and its net is given below. Identify the letter on the top of the cube.

a)

P

b)

S

c)

R

d)

T

106.

Select the pair which satisfies the same conditions of placement of dots.

a)

PR

b)

QR

c)

PQ

d)

None of these

107.

Select the correct match : Figure and UNSHADED fraction

a)
b)
c)
d)
108.

Find the missing figure which will continue the given series.

a)
b)
c)
d)
109.

Select the correct mirror image of Fig. (X), if the mirror is placed vertically to the right.

a)
b)
c)
d)
110.

What is the height of the table?

a)

150

b)

40

c)

130

d)

50

111.

Two similar dice are arranged as shown. In any die, the sum of the markings on any pair of opposite faces is 7.

What is the total of the UNSEEN faces in the arrangement shown?

a)

18

b)

24

c)

22

d)

Can't be determined

112.

Count the number of cubes in the given figure :

a)

20

b)

38

c)

40

d)

35

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