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•   Algebra
•   Objective: Exploring patterns and relationships
•   Level 4

The keywords for each question in this search are:

Question 1: number sequences; rule
Question 2: number sequences; rule
Question 3: Graph interpretation
Question 4: number sequences; rule
Question 5: number sequences; rule

 

QUESTION 1

The table represents a relation between x and y.

x

y

1

1

2

?

4

7

7

13

What is the missing number in the table?

(A)   2
(B)   3
(C)   4
(D)   5
(E)   6

 

QUESTION 2

The numbers in the sequence 2, 7, 12, 17, 22, ... increase by fives. The numbers in the sequence 3, 10, 17, 24, 31, ... increase by sevens. The number 17 occurs in both sequences. If the two sequences are continued, what is the next number that will be seen in both sequences?

__________

 
   

QUESTION 3

Bicycles are rented in a park for $5 for the first hour (or part of an hour) and $2 for each additional hour (or part of an hour). Which graph shows this?

(A)

(B)


(C)



(D)


 
   

QUESTION 4

The table represents a relation between x and y.

x

y

2

5

3

7

4

?

7

15

What is the missing number in the table?

(A)   9
(B)   10
(C)   11
(D)   12
(E)   13

 

QUESTION 5

In a sequence of starts and stops, a lift travels from the first floor to the fifth floor and then to the second floor. From there, the lift travels to the fourth floor and then to the third floor. If the floors are 3 m apart, how far has the lift travelled?

(A)   18 m
(B)   27 m
(C)   30 m
(D)   45 m