Section 6.1  Factors and Prime Numbers 
Question 1
How many factors does 28 have? 
(A)  2 


(B)  4 
(C)  6 
(D)  8 

Question 2
How many prime factors does 28 have? 
(A)  1 


(B)  2 
(C)  3 
(D)  4 
 
Question 3
Which of these numbers is a prime number? 
(A)  39 


(B)  63 
(C)  78 
(D)  97 

Question 4
What is the smallest number that has prime factors 2, 3 and 5? 
(A)  6 


(B)  15 
(C)  30 
(D)  60 
 
Section 6.2  Prime Factors 
Question 5
How many prime factors does the number 24 have? 
(A)  1 


(B)  2 
(C)  3 
(D)  4 

Question 6
How many prime factors does a prime number have? 
(A)  0 


(B)  1 
(C)  2 
(D)  None of these 

Question 7
What is the smallest number that has 3 different prime factors? 
(A)  6 


(B)  24 
(C)  30 
(D)  60 

Question 8
The prime factors of a number are 2, 5 and 7. What is the second smallest number that has these prime factors? 
(A)  35 


(B)  70 
(C)  140 
(D)  None of these 

Section 6.3  Index Notation 
Question 9
What is the value of 3^{4}? 
(A)  9 


(B)  12 
(C)  27 
(D)  81 

Question 10
What is the missing number x in the equation below?
64 = 2^{x} 
(A)  2 


(B)  4 
(C)  6 
(D)  8 

Question 11
What is 5^{3} × 2^{2}? 
(A)  50 


(B)  60 
(C)  100 
(D)  500 

Question 12
What is the value of x in the equation below?
3^{4} × 3^{5} = 3^{x} 
(A)  9 


(B)  12 
(C)  20 
(D)  None of these 

Section 6.4  Highest Common Factor and Lowest Common Multiple 
Question 13
What is the highest common factor of 48 and 60? 
(A)  6 


(B)  8 
(C)  12 
(D)  24 

Question 14
What is the highest common factor of 20, 30 and 45? 
(A)  5 


(B)  10 
(C)  15 
(D)  None of these 

Question 15
What is the lowest common multiple of 5 and 9? 
(A)  15 


(B)  27 
(C)  45 
(D)  90 

Question 16
What is the lowest common multiple of 4, 7 and 10? 
(A)  40 


(B)  70 
(C)  140 
(D)  280 

Section 6.5  Squares and Square Roots 
Question 17
What is the square of 20? 
(A)  40 


(B)  200 
(C)  400 
(D)  None of these 

Question 18
What is the value of  √   ? 
81 

(A)  3 


(B)  7 
(C)  9 
(D)  27 

Question 19
What is the value of  √   ? 
324  
(A)  18 


(B)  36 
(C)  108 
(D)  None of these 

Question 20
The area of a square is 196 cm^{2} . What is the side length of this square? 
(A)  7 cm 


(B)  14 cm 
(C)  28 cm 
(D)  49 cm 

Section 6.6  Sets and Venn Diagrams
The whole numbers 1 to 15 are shown in the Venn diagram below.

Question 21
Set A is described by: 
(A)  Odd numbers 


(B)  Even numbers 
(C)  Multiples of 4 
(D)  Whole numbers 

Question 22
Set B is described by: 
(A)  Odd Numbers 


(B)  Even numbers 
(C)  Multiples of 4 
(D)  Whole numbers 

Question 23
The complement of A is described by: 
(A)  Odd numbers 


(B)  Even numbers 
(C)  Multiples of 4 
(D)  Whole numbers 

Question 24
The union of A and B is described by: 
(A)  Odd numbers 


(B)  Even numbers 
(C)  Multiples of 4 
(D)  Whole numbers 

Section 6.7  Solving Logic Problems with Venn Diagrams
There are 45 students in a school canteen.
18 of them have finished eating.
The others are eating burgers or fries or both burgers and fries.
A total of 24 students are eating fries and 17 are eating burgers. 
Question 25
How many students are eating burgers and fries? 
(A)  3 


(B)  10 
(C)  14 
(D)  27 

Question 26
How many students are eating burgers without fries? 
(A)  3 


(B)  10 
(C)  14 
(D)  27 

Question 27
How many students are eating only fries? 
(A)  3 


(B)  10 
(C)  14 
(D)  27 

Question 28
In a class of 38 students, 22 say they like pancakes and 16 say they like maple syrup.
6 of the students do not like either.
How many of the students like both pancakes and maple syrup? 
(A)  6 


(B)  8 
(C)  10 
(D)  16 
