# G10 Basic Skills & Thinkers 14q

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| By Mr.r.gaffney
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Mr.r.gaffney
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The '^' symbol acts as 'to the power of' so that the term "" three to the power of 2 "" can be written as "3^2", which means 3 X 3.

Multiplication can be shown by either 'x' or '*'. If variables are present, the * will be used, such as 5x * 3, but if no variables are used, it will be written as 5 x 3.

• 1.

### Which answer is the opposite of the quotient of 48 and 3?

• A.

-2(5+4)

• B.

12 + (-28)

• C.

42 / -2

• D.

12 * 12

B. 12 + (-28)
Explanation
The given expression "12 + (-28)" is the opposite of the quotient of 48 and 3. The quotient of 48 and 3 is 16, and the opposite of 16 is -16. Therefore, the expression "12 + (-28)" is the opposite of the quotient of 48 and 3.

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• 2.

### The associative property of addition says that you can "change the groupings" of numbers in addition, but the answer will be the same. For example (4 + 5) + 6 = 4 + (5 + 6).  Which example shows the associative property of multiplication?  (* is the symbol for multiplication).

• A.

8 * 7 = 7 * 8

• B.

2 * 4 * 6 = 4 * 6 * 2

• C.

(9 + 8) + 7 = 9 + (8 + 7)

• D.

(5 * 6) * 7 = 7 * (6 * 5)

Explanation
The answer has to be C, D, or E, because they are the only three with ( ... ) Answer C is addition, so it cannot be the answer. Look closely at answer D. The (group) does not change, they are still 5 and 6.

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• 3.

### Which would be the fourth step in simplifying the following expression, assuming you follow Order of Operations with no shortcuts:9 + 8(7 - 6 +5 x 4) -3

• A.

• B.

Multiply 8 by 21

• C.

Subtract 7 - 11

• D.

Multiply 5 x 4

B. Multiply 8 by 21
Explanation
The fourth step in simplifying the expression would be to multiply 5 by 4.

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• 4.

### An elevator starts empty on the fifth floor.  Three people get on and go to the tenth floor. Two more people get on and everyone travels to the 13th floor, where four people get off.  Two more people get on and everyone travels to the 18th floor. Five more people get on and the elevator goes down to the 2nd floor.  Three more people get on and go down four floors to the basement.  How many floors did the elevator travel from start to finish?

• A.

32

• B.

33

• C.

34

B. 33
Explanation
The elevator starts on the fifth floor and travels to the tenth floor with three people on board. Then, two more people get on and everyone travels to the 13th floor, where four people get off. Two more people get on and everyone travels to the 18th floor. Finally, five more people get on and the elevator goes down to the second floor. Three more people get on and the elevator goes down four floors to the basement. Therefore, the elevator traveled a total of 33 floors from start to finish.

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• 5.

• A.

36 / 2

• B.

8.5 x 2

• C.

50 - 21

• D.

-4 + 22

Explanation
The correct answer is 36 / 2. When you divide 36 by 2, the result is 18.

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• 6.

### 25% of all Monsters are Ogres.  50% of Ogres are Ughrhats.  In a population of 80 Monsters how many would be Ughrhats?

• A.

10

• B.

60

• C.

75

• D.

44

A. 10
Explanation
If the total population is 80, then 25% of 80 = 20 Ogres. Of those 20 Ogres, 50% of them are Ughrhats, so 50% of 20 is ten.

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• 7.

### IF 21 x 34 is 714, then 0.21 x 3.4 is ...

• A.

.0714

• B.

714,000

• C.

.714

C. .714
Explanation
The answer is .714 because when you multiply 21 by 34, you get 714. To find the product of 0.21 and 3.4, you can move the decimal point two places to the left in both numbers, resulting in .21 and 3.4. When you multiply these two numbers, you get .714.

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• 8.

### What is the missing number in the pattern?1, 4, 9, 16, ___, 36

• A.

22

• B.

26

• C.

25

C. 25
Explanation
The pattern in the given sequence is that each number is the square of its position in the sequence. The missing number should be the square of its position, which is 5. Therefore, the missing number is 25.

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• 9.

### Which one is NOT in decreasing order?

• A.

9.90, 9.09, 9.99, 0.99

• B.

7.6, 7.06, 6.77, 6.70

A. 9.90, 9.09, 9.99, 0.99
Explanation
The given numbers in the first option are not in decreasing order because 9.99 is greater than 9.90.

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• 10.

### Which statement or statements below is/are false?

• A.

(8 - 3)(6) = 30

• B.

49 / 7 = (3 * 4 + 2) / 2

• C.

-2 x 5 x -9 = -90

• D.

8 + 4 + 9 + (-8) = 13

C. -2 x 5 x -9 = -90
Explanation
The statement "-2 x 5 x -9 = -90" is true because when multiplying two negative numbers, the result is positive. In this case, -2 x -9 = 18, and then multiplying 18 by 5 results in -90.

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• 11.

### A prime number is any number that has only two factors, 1 and itself.  The following are examples of prime numbers: 3, 7, 11, 13, 17, 19.  Which set has ONLY prime number?

• A.

{37, 39, 41}

• B.

{21, 25, 43}

• C.

{23, 39, 47}

• D.

{29, 31, 43}

D. {29, 31, 43}
Explanation
The set {29, 31, 43} has only prime numbers because all three numbers in the set, 29, 31, and 43, have only two factors, 1 and themselves. Therefore, they meet the definition of prime numbers.

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• 12.

### IF three fondells are equal to 7 briggmants, then how many fondells do you need to have 56 briggmants?

• A.

24

• B.

52

• C.

38

• D.

21

A. 24
Explanation
Think PROPORTION! 3/7 = x/56

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• 13.

### Factors are those number that when multiplied together give you a product.  For example, 4 and 8 are factors of 32:: 8 and 2 are factors of 16.  Which statement does not show the same relationship.

• A.

12 and 4 are factors of 48

• B.

8 and 13 are factors of 104

• C.

14 and 5 factors of 70

• D.

18 and 3 are factors of 64

D. 18 and 3 are factors of 64
Explanation
The correct answer is 18 and 3 are factors of 64. This statement does not show the same relationship because 18 and 3 do not multiply together to give a product of 64.

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• 14.

### Imagine that there is a test with 20 questions.  Each question is worth the same percent value as every other question.  Therefore, each question is worth _____ of your grade.

• A.

20%

• B.

10%

• C.

5%

• D.

2%

C. 5%
Explanation
Each question is worth 5% of your grade because there are 20 questions in total and each question is worth the same percent value as every other question. So, if we divide 100% (the total possible grade) by 20 (the number of questions), we get 5%.

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• Current Version
• Apr 10, 2024
Quiz Edited by
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• Feb 10, 2010
Quiz Created by
Mr.r.gaffney

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