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Critical Thinking Maths 6

Total questions: 31

Worksheet time: 18mins

Name
Class
Date
1.

Fill in the blank: TWO + TWO = ____

a)

FOUR

b)

FIVE

c)

SIX

d)

THREE

2.

Fill in the blank: 7 1/4 = ____ (Write as a mixed number)

a)

7 1/4

b)

7.25

c)

28/4

d)

8 1/4

3.

Fill in the blank: L × I × = ____ (Assume L = 50, I = 1 in Roman numerals)

a)

50

b)

51

c)

100

d)

1

4.

Fill in the blank: Pentagon + Triangle + Triangle = ____

a)

38

b)

25

c)

40

d)

32

5.

What is the next number in the sequence below? 1 4 9 16 25 36 ___

a)

49

b)

48

c)

45

d)

40

6.

What is the sum that each side of the triangle must equal when placing the numbers 1–12 in the twelve circles so that each number is used once?

a)

30

b)

33

c)

36

d)

39

7.

My brother has a summer job and earns $5 an hour. He is going to work 5 hours a day for 5 days a week, and will do this for 5 total weeks.

a)

$125

b)

$100

c)

$250

d)

$625

8.

My brother has a summer job and earns $5 an hour. He is going to work 5 hours a day for 5 days a week, and will do this for 5 total weeks. What is the total amount of money that he will earn?

a)

$625

b)

$500

c)

$525

d)

$600

9.

Brenda bought a new catcher's mitt for 75.Hermomsawanothermittthatwasabetterqualitygloveandcostless,sosheboughtitfor75. Her mom saw another mitt that was a better quality glove and cost less, so she bought it for 60. Brenda sold her first mitt for 65.Aweeklater,Brenda’smomaccidentallythrewhernewgloveinthetrash.Brendafoundherfirstmittforsaleamonthlaterfor65. A week later, Brenda’s mom accidentally threw her new glove in the trash. Brenda found her first mitt for sale a month later for 50. She bought it back. How much money did Brenda and her mom end up losing on these transactions?

a)

$20

b)

$10

c)

$35

d)

$5

10.

Two shapes are each given a value. Each value is a whole number. This whole number is at least 0 and at the most 10. Given: (pentagon) + (triangle) = 19, (triangle) > (pentagon), (pentagon) = 9 Write the value for the following shape: (triangle) = ________

a)

10

b)

8

c)

7

d)

6

11.

Once you know the value, do the following exercises by replacing the shape with its value. (pentagon) + (triangle) = ________

a)

19

b)

15

c)

22

d)

10

12.

Once you know the value, do the following exercises by replacing the shape with its value. (pentagon) + (triangle) × (triangle) = 100

(a)  

13.

Once you know the value, do the following exercises by replacing the shape with its value. (pentagon) + (pentagon) × (triangle) = ________

a)

99

b)

45

c)

72

d)

120

14.

Once you know the value, do the following exercises by replacing the shape with its value. (triangle) × (pentagon) = ________

a)

90

b)

60

c)

120

d)

45

15.

Once you know the value, do the following exercises by replacing the shape with its value. (pentagon) + (pentagon) × (triangle) = ________

a)

99

b)

45

c)

72

d)

120

16.

(pentagon) + (pentagon) + (triangle) + (triangle) = 38

4 lines
17.

Once you know the value, do the following exercises by replacing the shape with its value. (triangle) + (triangle) + (pentagon) × (triangle) = ________

a)

110

b)

120

c)

90

d)

100

18.

Once you know the value, do the following exercises by replacing the shape with its value. (triangle) × (pentagon) + (triangle) = ________

a)

100

b)

80

c)

120

d)

60

19.

Once you know the value, do the following exercises by replacing the shape with its value. (pentagon) + (pentagon) + (triangle) + (triangle) = ________

a)

38

b)

28

c)

48

d)

18

20.

Mrs. Johnson was going to purchase an iPod on sale for $250. At the checkout counter she received an additional 10% discount. How much did Mrs. Johnson pay for the iPod after the discount?

a)

$225

b)

$200

c)

$240

d)

$230

21.

In the addition problem below, the digits B and C represent a number different from any of the other numbers shown (that is, not 1, 4, 5, 6, or 9). B5 + C9 164 What are the only two possible values for B and C?

a)

B = 7, C = 8

b)

B = 2, C = 3

c)

B = 3, C = 7

d)

B = 8, C = 2

22.

What is the missing number in the pie below?

(a)  

23.

The grid below has a certain pattern to it that holds true for each row. Can you determine that pattern and find the missing number?

a)

12

b)

8

c)

15

d)

20

24.

Can you determine the missing number in the box? The same rule of logic applies to all three boxes.

a)

24

b)

18

c)

36

d)

12

25.

The three numbers in each box have a relationship that is the same in all six boxes. Knowing this, can you find the missing number where the question mark is? What is the relationship?

a)

3

b)

5

c)

7

d)

9

26.

In the addition problem below, the letters AB represent a two-digit number. If you know that the letter B is not a zero (0), can you tell me which numbers represent A and B?

a)

A = 6, B = 3. (Because 63 + 63 + 63 = 189, and B cannot be 0, so B = 3)

b)

A = 8, B = 1. (Because 81 + 81 + 81 = 243, but B cannot be 0, so B = 1)

c)

A = 5, B = 0. (Because 50 + 50 + 50 = 150, but B cannot be 0, so this is not possible)

d)

A = 7, B = 2. (Because 72 + 72 + 72 = 216, but B cannot be 0, so B = 2)

27.

Below is a fun puzzle called an alphametic. Each letter stands for a different digit. Zero (0) is sometimes used for alphametics, but it can never start a word. You may use any of the digits 0–9.

TWO
+ TWO
FOUR

This puzzle has only one solution if we let the letter W = 2 and R = 6. Can you find the other numbers that fit the addition problem?

a)

T = 7, W = 2, O = 8, F = 1, U = 9, R = 6. (So, 728 + 728 = 1456)

b)

T = 8, W = 2, O = 7, F = 1, U = 9, R = 6. (So, 827 + 827 = 1654)

c)

T = 6, W = 2, O = 9, F = 1, U = 8, R = 6. (So, 629 + 629 = 1258)

d)

T = 7, W = 2, O = 9, F = 1, U = 8, R = 6. (So, 729 + 729 = 1458)

28.

14. Find the hidden phrase or title.

a)

The Lion King

b)

Hidden Figures

c)

Breaking Bad

d)

The Great Gatsby

29.

Analogy puzzles ask you to think about the relationships between two things. The symbol :: means "is the same as" or "is analogous to." Example: 5 : 25 :: 6 : ? would be read as "5 is to 25 as 6 is to what?" The answer is 36 because 5 times itself is 25 and 6 times itself is 36. Use the example above to answer these analogy puzzles. a. 4 : 16 :: 10 : ?

a)

12

b)

32

c)

25

d)

100

30.

Triangle : Hexagon :: Rectangle : ?

a)

Square

b)

Pentagon

c)

Line

d)

Octagon

31.

By looking at the first three circles, can you see a pattern or relationship that is the same in all four circles? This pattern or relationship will help you determine the missing number in the last circle. What is that number?

a)

3

b)

5

c)

7

d)

9